Answer:
7 / 30
Step-by-step explanation:
This is a selection without replacement probability :
Total boxes = 16
With money = 3
With traveling prices = 5
Empty = 8
P(choosing 2 empty boxes) :
P(empty) * P(empty)
P(empty) = Number of empty boxes / total number of boxes
First pick = empty
P(empty) = 8 / 16 = 1/2
Without replacement :
Second pick = empty
P(empty) = 7 / 15
P(choosing 2 empty boxes) = 1/2 * 7/15 = 7 /30
Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?
Answer:
6/4
Step-by-step explanation:
Answer:
Exact Form:
3/2
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
Tell whether the angles are complementary, supplementary, or neither.
Answer:they are supplementary
Step-by-step explanation:
What is the area of the white border?
Answer:
you have 48
Step-by-step explanation:
15x2=30
9x2=18
18+30=48
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0 4 6 8 10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
2.65
Step-by-step explanation:
Multiply each payout by its probability, then add those products.
See the attached image.
The first column has the payouts. The second column has the probabilities. The third column has the results of multiplying a payout by its probability.
The sum of the entries in the third column is 2.65
The expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
From the table we can find the expected value:
Multiply payout to probability such that:
= 0×0.45 = 0
= 4×0.3 = 1.2
And so on
Now sum all values(refer to the attached table)
= 0+1.2+0.6+0.8+0.5
= $3.1
Thus, the expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05
Learn more about the probability here:
brainly.com/question/11234923
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Answer PLSSS..................
rectangle = 3 x 2 = 6 cm2
cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2
153.86 - 6 = 147.86cm2
Can you help? will give brainliest
┐(´ー｀)┌
Answer:
D
Step-by-step explanation:
u are correct
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
Can you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
(04.06 LC)
The first four terms of a sequence are shown below:
8, 5, 2, -1
Which of the following functions best defines this sequence? (5 points)
f(n) = - 3(n-1) +8; for n 2 1
O f(n) = 3(n-1) +8; for n 2 1
O f(n) = - 5(n-1) +8; for n 2 1
f(n) = 5(n-1) +8; for n 2 1
Given:
The first four terms of a sequence are:
8, 5, 2, -1
To find:
The function that defines the given sequence.
Solution:
We have,
8, 5, 2, -1
The differences between two consecutive terms are:
[tex]5-8=-3[/tex]
[tex]2-5=-3[/tex]
[tex]-1-2=-3[/tex]
The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.
The nth terms of an arithmetic sequence is:
[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=8,d=-3[/tex], we get
[tex]f(n)=8+(n-1)(-3)[/tex]
[tex]f(n)=8-3(n-1)[/tex]
[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]
Therefore, the correct option is A.
help!!!!!!! me plzzzz!!!!
Answer:
1.0
2.undefined
Step-by-step explanation:
Answer:1) 0, 2) is undefined
Step-by-step explanation:
Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is line segment AD? What is the area of the shape?
Answe545r:
45454
Step-by-step explanation:
Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2^22squared
Answer:
96 squared units
Step-by-step explanation:
Please find attached the diagram used in answering this question
The surface area is equal to the area of each shape
Area of a triangle = Area of a triangle = 1/2 x ( base x height)
1/2 x 2 x 3= 3
there are 4 triangles, area of both triangles = 3x4 = 12
Area of rectangle = length x width
Area of middle rectangle = 6 x 7 = 42
Area of two side rectangles = (3 +3) x 7 = 42
surface area = 42 + 42 + 12 = 96
A lawn and garden store surveyed 250 random customers who bought perennial flowers. Participants were asked the question, "Would you like the store to provide more annual flowers or more perennial flowers?"
A report of the survey results stated that customers would prefer the store to provide more perennial flowers than annual flowers.
Select all statements that correctly evaluate the report.
Options:
The question is biased toward a response of wanting more annual flowers.
The question is not biased.
The question is biased toward a response of wanting more perennial flowers.
The sample is not biased.
The sample is biased because it does not represent the population of customers at the lawn and garden store.
Answer:
The question is not biased
The sample is biased because it does not represent the population of customers at the lawn and garden store
Step-by-step explanation:
I just took the test :)
The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.
What is randomization?Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
For the 250 random customers who bought perennial flowers. The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.
To know more about randomization follow
https://brainly.com/question/13219833
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Each day, the seals at an aquarium are fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 400 pounds.
Answer:
32 just multiply by four
how to calculate algebraic expression?
Unit 9 test: Trigonometry
What is the right answer to this problem?
Answer:
x = 10.5
Step-by-step explanation:
[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]
Answer:
Step-by-step explanation:
take 65 degree as reference angle
using cos rule
cos 65=adjacent/hypotenuse
0.42=x/25
0.42*25=x
10.5=x
What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!
Answer:
(0, 3)
Step-by-step explanation:
y= 3 when x=0
what is the difference between 1089 and 4445
Answer:
If it is:
1,089-4,445= -3,356
but if it is the other way:
4,445-1,089= 3,356
Hope it helped!
Answer:
Its a Subtraction problem
4445-1089
=3356
Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.
Answer:
Number of rack made from total wood = 5 rack
Step-by-step explanation:
Given:
Length of wood Zendaya has = 5/6 yard
Length of each rack = 1/6 yard
Find:
Number of rack made from total wood
Computation:
Number of rack made from total wood = Length of wood Zendaya has / Length of each rack
Number of rack made from total wood = [5/6] / [1/6]
Number of rack made from total wood = [5/6][6/1]
Number of rack made from total wood = 5 rack
Solve the trigonometric equation on the interval of [0,2π) below:
[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]
Show your work, thanks!
Answer:
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
Step-by-step explanation:
we would like to solve the following trigonometric equation on interval of [0,2π)
[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]
remember that,
[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]
so the equation has two solutions
[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]
take inverse trig both sides which yields:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]
simplify the second equation:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]
add period of 2kπ:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]
By making theta subject of the equation we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]
since [tex]k\in\mathbb{Z}[/tex] we get:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]
as we want to Solve the trigonometric equation on the interval of [0,2π) we get
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]
by simplifying we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]
and we are done!
hence,
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.
What us the range of the data below?
What is the value of x when y has a value of -9 ? -3x = y + 51
A) -20
B) -14
C) 14
D) 20
40 POINTS
Pleaseee help, I need to turn this in soon.
Answer:
The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.
Therefore, we have the following equation:
[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]
The Pythagorean identity comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Therefore, we have the following equation:
What is the answer? {y=2x−6 y=5x−21
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
y=2x-6
y=5x-21
--------------
2x-6=5x-21
2x-5x-6=-21
-3x-6=-21
-3x=-21+6
-3x=-15
3x=15
x=15/3
x=5
y=2(5)-6
y=10-6
y=4
pls help me and show your work
Answer:
Solution given:
[tex]4\frac{2}{3}÷7[/tex]
=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]
=[tex]\frac{14}{3*7}[/tex]
=[tex]\frac{2}{3}[/tex] is a required answer.
Need help!! Please/ Thank you!!
Answer:
d= 8.3 units
➴➵➶➴➵➶➴➵➶
[tex]Given:[/tex]
[tex]L=7[/tex]
[tex]B=4[/tex]
[tex]H=2[/tex]
[tex]d=\sqrt{L^2+B^2+H^2}[/tex]
[tex]d=\sqrt{7^2+4^2+2^2}[/tex]
[tex]d=\sqrt{49+16+4}[/tex]
[tex]d=\sqrt{69}[/tex]
[tex]d=8.3~units[/tex] ✔︎
•❅────✧❅✦❅✧────❅•
hope it helps...
have a great day!!!
An accountant earns an annual salary of $78, 252. Find her gross monthly salary.
Answer:
she gets paid 6,521 a month
Step-by-step explanation:
just divide 78,252 by 12
Explanation:
Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.
Really need help on this too ASAP thanks for whoever helps me
Answer:
D 45
Step-by-step explanation:
90/2 = 45
135/3 = 45
180/4 = 45
Carleigh makes $10 more than sheryl (s) does per hour. Carleigh makes $22 an hour. which equation can be used to figure out how much sheryl makes
s+10=22 or 10+22=s