The graph is the boundary line for the inequality y ≤ 2/3x + 1. Which of the points is a solution for this inequality?
A (-4,5)
B (-10, -2)
C (0,-3)
D (1,3)

The Graph Is The Boundary Line For The Inequality Y 2/3x + 1. Which Of The Points Is A Solution For This

Answers

Answer 1

The points is a solution for this inequality is (0, -3).

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Switch sides

[tex]\frac{2}{3} x+1 \geq y$$[/tex]

Move 1 to the right side

[tex]\frac{2}{3} x \geq y-1$$[/tex]

Multiply both sides by 3

[tex]3 \cdot \frac{2}{3} x \geq 3 y-3 \cdot 1$$[/tex]

Simplify

[tex]2 x \geq 3 y-3$$[/tex]

Divide both sides by 2

[tex]\frac{2 x}{2} \geq \frac{3 y}{2}-\frac{3}{2}$$[/tex]

Simplify

[tex]x \geq \frac{3 y-3}{2}$$[/tex]

To learn more about inequalities visit:https://brainly.com/question/28823603

#SPJ1


Related Questions

need help with all these

Answers

Answer:

|
|
|
∆∆∆∆∆∆∆∆∆∆∆∆∆∆

Step-by-step explanation:

get better

When constructing a confidence interval for a population mean μ from a sample of size 12, the number of degrees of freedom for the critical value tα/2 is ___________________________.
b. Find the critical value tα/2 needed to construct a confidence interval of the given confidence level 90% with sample size 23

Answers

When constructing a confidence interval for a population mean the Degrees of freedom is 11 and critical value is 1.717

Degrees of freedom = df = n - 1 =12 - 1 = 11

At 90% confidence level the t is ,

α = 1 - 90% = 1 - 0.90 = 0.1

α / 2 = 0.1 / 2 = 0.05

tα /2, df = t0.05,22 = 1.717 ( using student t table)

The level of confidence denotes the likelihood that the position of a statistical parameter (such as an arithmetic mean) in a sample survey is also true for the population.

A critical value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or a test statistic's threshold for statistical significance.

To learn more about the critical value

https://brainly.com/question/14508634

#SPJ4

Image below to be answered

Answers

a.The formula that describe the sequence or progression is a+(7-7n)

b. 2nd term = -10 , 3rd term = 10, 4th term = -10 and 5th term = 10

What is arithmetic and geometric progression?

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

The nth term of an arithmetic progression is given as a(n)= a + (n − 1) × d

In geometric progression the nth term is given as a(n)= ar^(n-1)

where a is the first term

therefore if a = 12 and d is - 7

the formula for the arithmetic progression =

a(n) = 12+(n-1) -7 = 12+( 7-7n)

If the first term of a GP is 10 with common ratio of -1

then the second term = 10×-1 = -10

third term = -10×-1 = 10

fourth term = 10×-1 = -10

fifth term = -10× -1 = 10

learn more about Arithmetic and geometric progression from

https://brainly.com/question/24643676

#SPJ1

In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?

Answers

In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.

What is  population model ?

Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).

The model was given as y=151x(1.013)^t-1950

where the future time t = 2000

Then we can substitute the given year 2000 as the value of 't'

then we will have y=[151x(1.013)^(2000-1950)] = 288 million

Learn more about model at:

https://brainly.com/question/24448358

#SPJ1

What is the value of sin0 given that (-3,4) is a point on the terminal side of 0?

Answers

Then, consider triangle AOB,
sinθ = AB/OA
sinθ = 4/5

Option A

DUE SOON! PLEASE SHOW HOW YOU KNOW! THIS IS A SSA SITUATION BUT NOT SURE HOW TO FIND OUT HOW MANY TRIANGLES ARE POSSIBLE!

Answers

This is a SAS situation, only one triangle is possible. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In triangle ΔABC, the angle ∠A is 22°. And the measure of the side BC is 18.9 cm and the measure of the side AC is 15.1 cm.

To fix a triangle, the known dimensions of the triangle should be three which one must be a side.

This is a SAS circumstance, just a single triangle is conceivable. Then the right choice is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

pls help me with both of these questions

Answers

The number of times a large popcorn without butter is sold is, 49.

The conditional relative frequency of no.of Item2 sold given that

50% off is 0.27.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

The number of times a large popcorn without butter is sold is,

= 49.

The total no. of items that is 50% off is (12 + 20 + 32) = 74.

The no. of Item2 which is 50% off is 20.

So, The conditional relative frequency of no.of Item2 sold given that 50% off is,

= 20/74.

= 0.27.

learn more about conditional relative frequency here :

https://brainly.com/question/8358304

#SPJ1

Ida wants to know if males and females prefer different brands of ready-made chocolate-chip cookie dough. She bakes eight dozen cookies from dough made by each of four manufacturers which she labels brands A, B, C, and D. She then selects a simple random sample of 96 students, records their gender, gives them one cookie of each brand and asks which brand they like best. Here are her results:
9. The conditional distribution for preferred cookie brand among males (in percents) is given by which of the following?
A. A: 27%; B: 19%; C: 25%; D: 29%
B. A: 4%; B: 6%; C: 13%; D: 15%
C. A: 11%; B: 16%; C: 34%; D: 39%
D. A: 23%; B: 13%; C: 11%; D: 14%
E. A: 38%; B: 21%; C: 19%; D: 22%

Answers

They like best brand C) A: 11%; B: 16%; C: 34%; D: 39%.

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

Ida made four brands A , B , C and D

Mostly students like A brand 11% , B brand 16% , C brand 34% and D brand 39%

So this is best brand like by students male and female

They like best brand C) A: 11%; B: 16%; C: 34%; D: 39%.

To learn more about probability visit : brainly.com/question/30034780

#SPJ4

find the indefinite integral and check the result by differentiation. (use c for the constant of integration.) $$ \int \sqrt[3]{{\color{red}3} - {\color{red}4} x^2} ({\color{red}-8} x) \text{ }dx $$

Answers

The indefinite integral is - 1 / [5(6 + [tex]x^{5}[/tex])] + C.

An integral is considered to be indefinite if it has no upper or lower bounds. In mathematics, the most generic antiderivative of f(x) is known as an indefinite integral and expressed by the expression f(x) dx = F(x) + C. Without upper and lower bounds on the integrand, indefinite integrals are stated using the notation f(x), which represents the function as an antiderivative of F. Consequently, "f(x) dx=F" (x). As we observed in the same example with antiderivatives, the integral, x3 dx=14x4+C, is one example.

The area under the f(x) curve from x=a to x=b is represented by the definite integral of f(x), which is a NUMBER. Integral indefinite. An indefinite integral of a function f(x), also known as an antiderivative, is denoted by and its derivative is denoted by f. (x). The indefinite integral is not the only solution because the derivative of a constant is zero. Integration is the action of locating an indefinite integral.

Use a u-substitution with u = (6 + [tex]x^{5}[/tex])

du = 5[tex]x^{4}[/tex]dx

1/5 ∫ [tex]u^{-2}[/tex]du

= -1/5 [tex]u^{-1}[/tex] + C

= - 1 / [5(6 + [tex]x^{5}[/tex])] + C

To learn more about indefinite integral Visit : brainly.com/question/27419605

#SPJ4

Correct Question:

Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)

[tex]\int\limits^ {} \frac{x^{4} }{(6+x^{5})^{2} } dx[/tex]

is it correct? i will brinlist to who answer first​

Answers

I don't see the full picture but your answer should look like this:

4ab+(-12ab)+9ab+(-5ab)

= 4ab-12ab+9ab-5ab

= (4-12+9-5)ab

= -4ab

Solve for x using the quadratic formula: x² - 6x + 9 = 0
X=
-b± √b²-4ac
2a
Ox=6
Ox=3
Ox=1
Ox=0

Answers

Answer:

[tex] \huge{ \boxed{x = 3}}[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 6x + 9 = 0[/tex]

Using the quadratic formula that's,

[tex] \bold{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}} \\ [/tex]

Comparing the equation to the general form of a quadratic equation ( ax² + bx + c), we have.

[tex]a = 1 \\ b = - 6 \\ c = 9[/tex]

Substituting the values into the formula we have.

[tex]x = \frac{- ( -6) \pm \sqrt{( - {6})^{2} - 4(1)(9) } }{2(1)} \\ x = \frac{6 \pm \sqrt{36 - 36} }{2} \\ x = \frac{ 6 \pm\sqrt{0} }{2} \\ x = \frac{6}{2} \: \: \: \: \: \\ \\ x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

x = 3

Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year.

What is the 95% confidence interval for this population proportion? Answer choices are rounded to the hundredths place.

Answers

The 95% confidence interval for this population proportion is (0.10, 0.23).

What is a confidence interval?

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Sample size n = 125

number of people who planned to take an extended vacation = 21

sample proportion p = 21/125 = 0.168

Confidence level = 0.95

significance level α = 1-0.95 = 0.05

Z score =[tex]Z_{\alpha 2}[/tex] = Z(0.05) = 1.96, from Z table.

The confidence interval for population proportion is-

p±[tex]Z_{\alpha 2}[/tex] x √{p(1-p)}/n =0.168±1.96 x 0.168 x √{(1-0.168)}/125

                        =0.168±1.96 x 0.0334

                        =0.168±0.0655

                        =(0.1025, 0.2335)

                        =(0.10, 0.23)

Therefore, the confidence interval is (0.10, 0.23).

To learn more about the confidence interval;

https://brainly.com/question/24131141

#SPJ1

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 18% per hour. He will check on the bacteria every 3 hours. How many bacteria will he find in 3 hours? Round your answer to the nearest whole number.

Answers

Answer:

The answer is approximately 770 bacteria after 3 hours.

A recent survey found that about 73.2% of all gasoline purchases at a certain service station chain are paid with a credit or debit card. If 250 gasoline purchases completed at this chain are randomly selected, find the probability that at most 195 of those purchases are paid with a credit or debit card. • Use Excel to find the probability, rounding your answer to four decimal places.

Answers

The probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 ) is 0.9625..

We have given that,

Sample size , n=250

Sample proportion, p= 73.2% = 0.732

np = 183

n(1-p) = 67

both np & n(1-p) values are greater than 5, So normal approximation is applicable

mean, µ = np = 183

std. dev, σ = √np(1-p) =√250×0.732 ×(1-0.732) =7.0031

we have to calculate probability that at most 195 of those purchases are paid with a credit or debit card i.e P(X ≤ 195 )

= P( X < 195.5 )

= P((x - µ) / σ < (195.5 -183)/ 7.0031)

= P( Z < 1.78 )

= 0.9625

Required probability using Excel function ,

Excel command: =NORM.S.DIST(z,1)

= Norm.S.DIST(1.78,1)

= 0.9625

Hence, required probability is 0.9625..

To learn more about Probability of z-statistic, refer:

https://brainly.com/question/25638875

#SPJ4

Solve Please and Thank U

Answers

The solution to the systems are (1, 1), (-3, -1), (1, -2), (2, -1), (7, -1) and (-2, 2)

How to determine the solution to the system?

System 1

In this case, the system of equations is given as

y = -3x + 4

y = 3x - 2

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (1, 1)

So, the solution is (1, 1)

System 2

In this case, the system of equations is given as

y = x + 2

x = -3

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-3, -1)

So, the solution is (-3, -1)

System 3

In this case, the system of equations is given as

4x + y = 2

x - y = 3

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (1, -2)

So, the solution is (1, -2)

System 4

We have

y = 4x - 9

y = x - 3

Substitute y = 4x - 9 in y = x - 3

4x - 9 = x - 3

Evaluate the like terms

3x = 6

So, we have

x = 2

Recall that:

y = x - 3

So, we have

y = 2 - 3

y = -1

So, the solution is (2, -1)

System 5

We have

x + 7y = 0

2x - 8y = 22

Make x the subject in x + 7y = 0

x = -7y

Substitute x = -7y in 2x - 8y = 22

-14y - 8y = 22

Evaluate the like terms

-22y = 22

So, we have

y = -1

Recall that:

x = -7y

So, we have

x = -7(-1)

x = 7

So, the solution is (7, -1)

System 6

We have

-7x + 2y = 18

6x + 6y = 0

Make x the subject in 6x + 6y = 0

x = -y

Substitute x = -y in -7x + 2y = 18

7y + 2y = 18

Evaluate the like terms

9y = 18

So, we have

y = 2

Recall that:

x = -y

So, we have

x = -2

So, the solution is (-2, 2)

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

Lines PQ and BC are parallel.
What is the value of x ?

Answers

Answer:

x = 40

Step-by-step explanation:

since lines PQ and BC are parallel , then

∠ BCQ and ∠ AQP are corresponding angle and are congruent , that is

∠ BCQ = 80°

the sum of the 3 angles in Δ ABC = 180° , then

x + 80 + 60 = 180

x + 140 = 180 ( subtract 140 from both sides )

x = 40

NO LINKS!!

A cup of water at an initial temperature of 81°C is placed in a room at a constant temperature of 24°C. The temperature of the water is measured every 5 minutes during a half-hour period. The results are recorded as ordered pairs of the form (t, T), where t is the time (in minutes ) and T is the temperature (in degrees Celsius).

t T
0 81
5 69
10 60.5
15 54.2
20 49.3
25 45.4
30 42.6

a. Subtract the room temp. from each of the temp. in the ordered pairs. Use a graphing utility to plot the data points (t, T) and (t, T-24). An exponential model for the data (t, T-24) is T-24 = 54.4(0.964)^t. Solve for T.
T=
Graph the model. Compare the result with the plot of the original data.

b. Use a graphing utility to plot the points (t, ln(T-24)) and observe that the points appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. This resulting line has the form ln(T-24) = at + b, which is equivalent to e^(ln(T-24)) = e^(at+b). Solve for T, and verify that the result is equivalent to the model in part (b). Round all numerical values to 3 decimal places).
T=

c. Fit a rational model to the data. Take the reciprocals of the y-coordinates of the revised data points to generate the points. (t, 1/(T-24))
Use a graphing utility to graph these points and observe that they appear to be linear. Use the regression feature of a graphing utility to fit a line to these data. The resulting line has the form 1/(T - 24) = at + b.
Solve for T. (Round all numerical values to 4 decimal places). Use a graphing utility the rational function and the original data points.
T=

Answers

Part (a)

Given data table.

[tex]\begin{array}{|c|c|} \cline{1-2}t & T\\\cline{1-2}0 & 81\\\cline{1-2}5 & 69\\\cline{1-2}10 & 60.5\\\cline{1-2}15 & 54.2\\\cline{1-2}20 & 49.3\\\cline{1-2}25 & 45.4\\\cline{1-2}30 & 42.6\\\cline{1-2}\end{array}[/tex]

where,

t = time in minutesT = temperature in Celsius

It's unfortunate that T is used twice for these variables. It might cause some confusion.

This is what happens when we subtract 24 from each temperature.

[tex]\begin{array}{|c|c|} \cline{1-2}t & T-24\\\cline{1-2}0 & 57\\\cline{1-2}5 & 45\\\cline{1-2}10 & 36.5\\\cline{1-2}15 & 30.2\\\cline{1-2}20 & 25.3\\\cline{1-2}25 & 21.4\\\cline{1-2}30 & 18.6\\\cline{1-2}\end{array}[/tex]

The graph of each set of points is shown in figure A. I used GeoGebra to make the graph.

The first set of data points are in red. The second set in blue. Notice the set of blue points is the result of shifting the red points 24 units down.

The green exponential model is also shown as the curve through the set of red points.

The green regression exponential model doesn't go through each point perfectly. Rather it tries to get as close as possible.

To go from

T-24 = 54.4(0.964)^t

to

T = 54.4(0.964)^t + 24

we simply add 24 to both sides. This means there isn't much to show in terms of steps when solving for T.

=======================================================

Part (b)

Use spreadsheet technology or something like GeoGebra to generate this data table.

[tex]\begin{array}{|c|c|} \cline{1-2}t & ln(T-24)\\\cline{1-2}0 & 4.043051\\\cline{1-2}5 & 3.806662\\\cline{1-2}10 & 3.597312\\\cline{1-2}15 & 3.407842\\\cline{1-2}20 & 3.230804\\\cline{1-2}25 & 3.063391\\\cline{1-2}30 & 2.923162\\\cline{1-2}\end{array}[/tex]

The values in the 2nd column are approximate.

Then plot each of those points on the same xy grid. Use technology of your choice to determine the regression line is roughly

y = -0.03723x + 3.99739

So we can say

ln(T-24) = -0.03723t + 3.99739

the right hand side fits the format at + b where

a = -0.03723b = 3.99739

both of which are approximate.

Then,

e^(ln(T-24)) = e^(at+b)

T-24 = e^(at+b)

T-24 = e^(-0.03723t + 3.99739)

T-24 = e^(-0.03723t)*e^(3.99739)

T-24 = e^(-0.03723t)*54.45583

T-24 = 54.45583*e^(-0.03723t)

T = 54.45583*e^(-0.03723t) + 24

T = 54.456*e^(-0.037t) + 24

Let's verify that this is equivalent to the model found in part (a).

T = 54.456*e^(-0.037t) + 24

T = 54.456*(e^(-0.037))^t + 24

T = 54.456*(0.963676)^t + 24

T = 54.5*(0.964)^t + 24

which is very close to the model mentioned in part (a). There's some slight rounding error. That's to be expected in problems like this.

-----------------------------

Answer: T = 54.456*e^(-0.037t) + 24

See figure B for the graph. Like with the other regression curve, this straight line doesn't go through all of the points. It tries to get as close as possible.

=======================================================

Part (c)

Refer to the 2nd table mentioned in part (a).

We'll apply the reciprocal to each item in the column labeled T-24.

For instance, the item 57 becomes 1/57 = 0.017544 approximately.

This is what the data table looks like:

[tex]\begin{array}{|c|c|} \cline{1-2}t & 1/(T-24)\\\cline{1-2}0 & 0.017544\\\cline{1-2}5 & 0.022222\\\cline{1-2}10 & 0.027397\\\cline{1-2}15 & 0.033113\\\cline{1-2}20 & 0.039526\\\cline{1-2}25 & 0.046729\\\cline{1-2}30 & 0.053763\\\cline{1-2}\end{array}[/tex]

The values in the 2nd column are approximate.

The set of points and regression line are shown in figure C1. This line does not go through all of the points. Like with the others, it tries to get as close as possible to each point.

Use technology to determine the equation of the regression line is approximately:

y = 0.00121x + 0.01613

Which tells us that

1/(T-24) = 0.00121t + 0.01613

Let's solve for uppercase T.

1/(T-24) = 0.00121t + 0.01613

T-24 = 1/(0.00121t + 0.01613)

T = 1/(0.00121t + 0.01613) + 24

T = 1/(0.0012t + 0.0161) + 24

which is the approximate final answer.

Figure C2 shown below represents the original data points (t, T) in red. The blue curve is y = 1/(0.0012x+0.0161)+24, which is the rational regression curve we just found. This curve tries its best to get as close as possible to each red point.

Compare the regression curves of figure A and figure C2. We have a very close tie in terms of which curve does a better job of fitting the original data.

How is 25 to 5 and 10 to 2 equivalent ratios

Answers

Answer:

They are equivalent ratios because if you multiply 10 to 2 by 2.5 you get 25 to five

Answer:

equals 25

Step-by-step explanation:

I need help with the statement and the reasons

Answers

Explanation:

You can make use of the properties of parallel lines to prove ∠ACB≅∠DAC.

Statement . . . . Reason

2. ∠DAB +∠ABC = 180° . . . . definition of a right angle

3. AD║BC . . . . consecutive interior angles are supplementary

4. ∠ACB≅∠DAC . . . . alternate interior angles are congruent

(Factoring Algebraic Expressions MC)

Answers

x3y2 is the result of the expression employing the common factor (x - 6y).

What is Mathematical expression?

Here,

The sentence is,

x⁴y² - 6x³y³

We must use the common factor to solve.

Mathematical expression refers to the combining of numbers and variables utilizing the operations addition, subtraction, multiplication, and division.

Now,

The sentence is,

x⁴y² - 6x³y³

The common factor is used to solve as,

6x3y3 - x4y2 equals x*x*x*y*y - 6*x*x*x*y*y.

= x³y² (x - 6y) (x - 6y)

Consequently, x3y2 is the value of the expression employing the common factor (x - 6y).

To Learn more About common factor refer To:

https://brainly.com/question/219464

#SPJ1

I need help asap i don’t get it

Answers

∠SWV is congruent to ∠TWU because vertically opposite angle.

Define congruent.

If one of the geometric figures can be superimposed on the other so that their entire surface coincides, then the two are said to be congruent, or to be in the relation of congruence. Two triangles are said to be congruent if their two sides and their included angle are the same in both of them. Congruence appears to be based on the concept of a "rigid body," which may be transported from one location to another without affecting the internal relationships between its components.

Given

∠SWV ≅ ∠TWU

Vertically opposite angle

∠SWV is congruent to ∠TWU because vertically opposite angle.

To learn more about congruent, visit:

https://brainly.com/question/7888063

#SPJ1

the purpose of a check sheet is to quickly understand the primary sources of a problem using the 80/20 rule, wherein 80 percent of defects often come from only about 20 percent of all the sources.

Answers

Based on the following question the primary sources of a problem using the 80/20 rule, wherein 80 percent of defects often come from only about 20 percent of all the sources is false

What is 80/20 rule?

Only 20% of causes result in 80% of all consequences, according to the 80/20 rule. It is used to pinpoint the crucial elements of success (often in a corporate context) and concentrate efforts therein to enhance outcomes.

What is the 80-20 rule in life?

According to the 80-20 rule, 20% of activities produce 80% of the consequences. Or, to put it another way, just 20% of the input results in 80% of the outcome. An old proverb that promotes focus is the 80-20 rule, often known as the Pareto Principle.

To know more about 80/20 rule visit:
https://brainly.com/question/14309471

#SPJ4

30-(-2)*(-10)+(-5)-(-2)=

Answers

Answer:

Step-by-step explanation:

-2 * -10 = 20

Answer:

30×2×(-10)-5+2

=60×(-10)-3

=-60-3

=-63

Of all the fish in a certain river, 20 percent are salmon. Once a year, people can purchase a fishing license that allows them to catch up to 8 fish. Assume each catch is independent. Which of the following represents the probability of needing to catch 8 fish to get the first salmon? A. 0.2 B 1/0.2 C. 0.2^8 D 0.2 (0.8)^7
E. 0.8 (0.2)^7

Answers

The probability of needing to catch 8 fish to get the first salmon is D) 0.2 (0.8)^7.

How to calculate probability of needing to catch 8 fish to get the first salmon?

Given that he probability of fishing a salmon in a certain river is 20% i.e. 0.2. Now, the probability of not getting a salmon will be

1 - probability of not getting salmon  = 1 - 0.2 = 0.8.

So, the first fish should be salmon and the others should not be salmon. So, the required probability of independent events can be calculated as,

P =0.2×0.8×0.8×0.8×0.8×0.8×0.8×0.8×0.8

P = 0.2× (0.8)^7

Hence,the probability of needing to catch 8 fish to get the first salmon is 0.2 (0.8)^7.

The probability of needing to catch 8 fish to get the first salmon is D) 0.2 (0.8)^7.

To know more about probability, check out:

brainly.com/question/25870256

#SPJ4

Suppose that the function h is defined, for all real numbers, as follows.
=hx +−12x24 ≠if x2
−2 =if x2
Find h−3, h2, and h4.

Answers

The function h is defined, for all real numbers h(-3) = -1/2 , h(2) = -2 and h(4) = -4.

What is a function ?

When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x. Mathematicians refer to functions as mapping or transformations.

The given function,

h(x) =  -1/2 x^2 + 4 if x≠ 2

                 -2         if x=2

So, h(-3) = -1/2 (-3)^2 + 4

             = - 9/2 + 4

             = -1/2

     h(2) = -2 ( given )

     h(4) = -1/2 (4)^2 + 4

            = -8 + 4

            = -4 .

Learn more about functions from the link given below:

https://brainly.com/question/25638609

#SPJ1

PLS HELP ASAP pic attached

Answers

The slope and y-intercept, or the points, should be used to graph the line.  Slope: 3 y-intercept: (0, 1 )

How to find the Calculation?

g ( x ) = − 3 x − 1

Create an equation using the function.

y = − 3 x − 1

Calculate the slope and y-intercept using the slope-intercept form.

Less steps by tapping...

In the slope-intercept form, y = m x + b denotes the slope and the y-intercept, respectively.

y = m x + b

With the use of the formula y = m x + b, determine the values of m and b.

m = − 3 b = − 1

m is the line's slope, and is the value of the y-intercept.

B. Slope: 3 Y-intercept: (0, 1 )

Two points are all that are required to graph any line. To determine the associated y values, enter two x values into the equation.

Less steps by tapping...

Assign the x and y values to a table.

x     y

0   − 1

1    − 4

The slope and y-intercept, or the points, should be used to graph the line.

Slope: 3 y-intercept: (0, 1 )

x        y

0        1

1         4.

To Learn more About slope and y-intercept refer to:

https://brainly.com/question/25722412

#SPJ1

Anne Richards purchased two slippers at one price and three pajamas at another price. Let s = the price of each slipper and p = the price of each pajama. Each slipper
cost $12. How much did each pajama cost if the total purchase price was $120?
Each pajama cost $. (Simplify your answer.)

Answers

Answer:

[tex]E[/tex]ach pajama costs $32

Step-by-step explanation:

So, the said person bought:

2 slippers at a price, 3 pajamas at another price. (The prices are unknowns, s, and p)

Each slippers cost $12

We are to find the cost of each pajama, where the total purchase price is $120

With the given conditions, we formulate an equation: 2s + 3p = 120

Since s = 12, we replace for the value of s in the equation. s becomes 2 × 12 = 24.

The new equation is then: 24 + 3p = 120, where we are to find the value of p.

Collect like terms: 3p = 120 - 24 3p = 96

Divide both sides of the equation by 3 to find the value of p: 3p/3 = 96/3 p = 32

Therefore, the price of each pajama is $32

I hope this helps

What is the exponential form of the expanded form below?

3.3.3.3.3.3.3

3•7

3^7

7^3

3^6

Answers

Answer:

Step-by-step explanation:

okay so its 3•7

that's all u need put that

Answer:

[tex]3^{7}[/tex]

Step-by-step explanation:

3×3×3×3×3×3×3= [tex]3^{1+1+1+1+1+1+1+1} =3^{7}[/tex]

3+3+3+3+3+3+3= 3×7


If the opposite corners of the rectangle ABCD are A (5, 3) and C (10, 1) and the equation of side BC is x-2y=8, find the equations of the other three sides. You must show your work and explain why you are doing it. (Note: opposite side of a rectangle are parallel and consecutive sides are
perpendicular)

Answers

Answer:

Equation of side AB:

We know the coordinates of A and B, so we can use the point-slope form to create the equation of the line:

y - 3 = (3/5)(x - 5)

y - 3 = 3/5x - 15/5

5/3y - 15/3 = x - 5

5/3y - x = -15/3 + 5

5/3y - x + 15/3 = 5

5/3y - x + 15/3 = 0

Equation of side AB: 5/3y - x + 15/3 = 0

Equation of side DC:

We know the coordinates of C and D, so we can use the point-slope form to create the equation of the line:

y - 1 = (2/5)(x - 10)

y - 1 = 2/5x - 20/5

5/2y - 10 = x - 10

5/2y - x = -10

5/2y - x - 10 = 0

Equation of side DC: 5/2y - x - 10 = 0

Equation of side BD:

We know the equation of side BC (x - 2y = 8) and that consecutive sides are perpendicular, so we can use the slope-intercept form to find the equation of line BD:

Slope of BC = -2/1

Slope of BD = -1/-2 = 1/2

y = (1/2)x + b

We can use the coordinates of B to find b:

1 = (1/2)(8) + b

2 = 4 + b

b = -2

Equation of side BD: y = (1/2)x - 2

Step-by-step explanation:

Martha has a $200 deductible and 20% co-payment on her health
insurance. Last year she had $6,500 in medical bills. What was
Martha's out-of-pocket expense?

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to calculate Martha's out-of-pocket expenses, and the total amount of money she had to pay for her medical bills.

First, we need to calculate the amount of money Martha had to pay toward her deductible. Since her deductible is $200, this is the amount she had to pay out of pocket.

Next, we need to calculate the amount of money Martha had to pay toward her co-payment. Since her co-payment is 20%, we can calculate this by multiplying her medical bills by the co-payment rate: $6,500 x 0.2 = $1,300.

To find Martha's total out-of-pocket expense, we can add the amount she paid towards her deductible ($200) and the amount she paid towards her co-payment ($1,300):

$200 + $1,300 = $1,500

Therefore, Martha's out-of-pocket expense was $1,500.

Final answer:

Martha's insurance required her to pay a $200 deductible and a 20% co-payment on the remaining balance of her medical bills. After paying the deductible, she pays 20% of the remaining $6,300 which is $1,260. So, Martha's total out-of-pocket expense was $1,460.

Explanation:

Martha's health insurance plan includes a $200 deductible and a 20% co-payment. The deductible is the amount Martha has to pay before the insurance company starts to pay. In this case, Martha first pays a $200 deductible from her $6,500 medical bills, which leaves her with $6,300 to be covered by insurance and her co-payment. The 20% co-payment means Martha is responsible for paying 20% of the remaining $6,300. To calculate this, we multiply $6,300 by 0.20 (20%), which equals $1,260. Therefore, Martha's total out-of-pocket expense for her medical bills last year was the $200 deductible plus the $1,260 co-payment, equalling $1,460.

Learn more about Deductibles and Co-payments here:

https://brainly.com/question/36325779

#SPJ2

Other Questions
What are some examples of noun verb adjective and adverb in one sentence? Suppoe you are in a dark room. Can you ee object in the room? Can you ee object outide the room? What was at stake in Coln's decision? which equal to cos 74 the key to undermining inequality is to recognize the multiple intersecting dimensions of privilege. this can be done by first eliminating the selection structure is used when a programmer wants to repeatedly process one or more program instructions. true or false Which of the following scenarios exemplify how a project manager can use interpersonal skills? Select all that apply.1 pointThe web designer on your project tells you that theyre not sure they can meet the deadline for all the mock up pages. You ask the designer some questions about the project, such as what amount of time they need for each page mock so you can help prioritize what is feasible.The timeline is set for the Office Green project. You tell the web designer on Wednesday that youll need a complete mock up for the site by Friday.The person on your team in charge of contracts now needs to split their work time with another team. You request a meeting with that teams project manager to identify if any of their project deliverable dates are competing with your projects timeline.Youre managing a project with team members who are on multiple projects. You asked the team members to prioritize your project because you know there are many overlapping due dates. What is the attitude tone that the poet or speaker creates toward the subject? What was the purpose of the valley ruins at Great Zimbabwe? What were the effects of the embargo? Pro forma statements are based on: __________ Part CCompare the capital gains from investing in the three stocks with the interest income on a one-year CD. Which would have been a more profitableinvestment-the stocks or a one-year CD? Explain your reasoning.BIUX X 15pxAv & v = = = = = = V vSpace used (includes formatting): 0/15000Submit PLEASE HELP!! I will mark Brainliest Refer to the above excerpt of a works cited page. Which of the following errors is present in the abovecitation(s)?A. The title "Works Cited" is not centered.B. The publisher of the article is missing.C. The publisher of Great Expectations is missing.D. The end punctuation in both citations is missing. Mary Marshall committed a shoplifting offense which is a crime punishable by less than one year in jail. The judge sentenced her to probation. Mary Marshall committed amisdemeanoraggravated felonyfelonycapital crime Who are qualified for SSS disability benefits? What does Grendel's mother symbolize? Mollusks live in many marine and freshwater environments and are also common on land but most are [blank] Write an equation for the function f (x) that has roots of 3, -4, and -1 and a leading coefficient of 2. A survey is ____, generally takes less time, and can involve a broad cross-section of people.a. more flexible than a series of interviews, and it is less expensiveb. more flexible than a series of interviews, but it is more expensivec. not as flexible as a series of interviews, but it is less expensived. not as flexible as a series of interviews, and it is more expensive