Answers
all of the triangles have the same dimensions
8 x 14 = 112
112 divide by 2 is 56
56 + 56 + 56 + 56 + 196 = 420
Related Questions
which names apply to the number
48
integer
irrational
real
whole
rational
Answers
Answer:
All except irrational apply to the number 48
The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answers
Answer:
(a) y intercept is approximately 4.3
(b) [tex]y = 1.5x+4.5[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where [tex]x =0[/tex]
From the attached graph; By observation
[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (9,18)[/tex]
[tex](x_2,y_2) = (8,16.5)[/tex]
So:
[tex]m = \frac{16.5- 18}{8 - 9}[/tex]
[tex]m = \frac{-1.5}{- 1}[/tex]
[tex]m = 1.5[/tex]
The equation is then calculated using:
[tex]y =m(x - x_1) + y_1[/tex]
Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]
[tex]y = 1.5(x - 9) + 18[/tex]
[tex]y = 1.5x - 9*1.5 + 18[/tex]
[tex]y = 1.5x - 13.5 + 18[/tex]
[tex]y = 1.5x+4.5[/tex]
PLZ HELP ASAP 50 PTS (MATH) + Brainliest
1) Factor the trinomial. Show ALL work:
x2 − 5x + 6
2) Factor the polynomial using grouping. Show ALL work:
5x3-2x2+25x-10
3( Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
4( Choose ONE of the following polynomial and factor completely, showing ALL work.
16x2 − 81
15x2 − 35
3x2 + 21x + 36
Answers
Answer:
x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36Step-by-step explanation:
x2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term:
We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
On solving this we obtain, a = 3 and b = 2
Thus, the above expression can be written as:
x2 + 5x + 6
= x2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.
For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:
(p, q, p+q)
(1, 56, 57)
(-1, -56, -57)
(2, 28, 30)
(-2, -28, -30)
(4, 14, 18)
(-4, -14, -18)
(7, 8, 15)
(-7, -8, -15)
Use those pairs of numbers and their sums to fill in the three columns of your table.
STEP 2 Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8). STEP 3 Using the information from steps 1 and 2, you can factor the trinomial like this: x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8) FOIL that back out if you'd like, to make sure the expressions are equivalent. STEP 4 Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).Answer:
1) Factor the trinomial. Show ALL work:
(x-2)(x-3) steps see explanation
2) Factor the polynomial using grouping.
Group and factor out the greatest common factor (GCF), then combine.
[tex](5x-2) (x^{2} +5)[/tex]
4) Choose ONE of the following polynomial and factor completely.
15x2 − 35 = [tex]5 (3x^2-7)[/tex]
Step-by-step explanation:
x2−5x+6
The middle number is -5 and the last number is 6.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that
Add together to get -5
Multiply together to get 6
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_)(x+_)
with -2 and -3 to get...
(x-2)(x-3)
4( Choose ONE of the following polynomial and factor completely,
15x^2-35
35 as 5*7
15 as 5*3
= 5*3x^2-5*7
The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
Answers
Answer:
The p-value for a two-tailed test of hypothesis is 0.0164.
Step-by-step explanation:
The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
This means that we look at the z-table, and we have to find:
[tex]P(|Z| > 2.4)[/tex]
Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.
Looking at the z-table, z = 2.4 has a pvalue of 0.9918
1 - 0.9918 = 0.0082
2*0.0082 = 0.0164
The p-value for a two-tailed test of hypothesis is 0.0164.
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again
Answers
Answer:
A. 15
B. 25.6
C. 41.6
Step-by-step explanation:
You need to divide
Find AC
A
-y + 23
B
c
бу +2
3
20
23
26
Answers
Answer:
yfvhbjnk.bdfxgvhjnmbgytfrgvnhjkm
Step-by-step explanation:
Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?
Answers
1. You can find what the cheapest and most expensive card is.
2. You could find what percent of the people on your cards are brunettes.
You could also find what the average strikes for a team.
You're welcome
PLEASE HELP ASAP!!!
What is the surface area of the prism below?
Answers
How many lines of symmetry does this figure have?
Answers
Answer:
4 i think
Step-by-step explanation:
If you fold this figure some times it should get it evenly
PLS ANSWER QUICK, HELP AND EXPLAIN
Answers
Answer:
136 ft²
Step-by-step explanation:
floor = 7 x 6 = 42 ft²
sides = 2 x 7 x 5 = 70 ft²
ends = 1/2 x 6 x 4 x 2 = 24 ft²
42 + 70 + 24 = 136 ft²
Find the x-intercept and y-intercept for the following equation:
3x−6y=12
Answers
Answer:
(4,0) and (0,-2)
Step-by-step explanation:
To find the intercepts, substitute a zero for the opposite letter so
to find y-int x = 0 so 3(0) - 6y = 12 so -6y = 12, so y = -2
to find x-int y = 0 so 3x - 6(0) = 12 so 3x = 12, so x = 4
the sum of 8 and joses score is 35 use the variable j yo represent josés score
Answers
Answer:
8 + j = 35
subtract 8 from both sides
j = 27
Step-by-step explanation:
Answer 6. Answer ASAP pls pls answer ASAP ASAP pls pls ASAP pls pls ASAP
Answers
5x10=50
5x2=10; 10x2=20
10x20=200
Answer:
2
Step-by-step explanation:
5x10=50
5x2=10; 10x2=20
10x20=200
Expand the expression -11(30 – 2d) using the Distributive Property.
Answers
Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
[tex]-330+22d[/tex], or the other way around
Step-by-step explanation:
[tex]-11*30=-330[/tex]
[tex]-11*-2d=22d[/tex]
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answers
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
what triangle is made up of these angles 50 degrees 110 degrees 20 degrees
Answers
Answer:
It's a scalene triangle
Step-by-step explanation:
There are different types of triangle
The equilateral triangle which has all sides and angle equal i.e 60 degrees each
The isosceles triangle which has two sides and two angle equal
The right angle triangle which has an angle of 90 degrees
Scalene triangle which all the sides and angle are of different sizes
Consider the functions f(x) = x2 - 4x and
g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.
A)The graphs of f(x) and g(x) share the same axis of symmetry.
B)The graphs of f (x) and g(x) share the same y-intercept.
C)The graphs of f(x) and g(x) share the same
x-intercepts.
D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).
E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.
Answers
Answer:
A, D
Step-by-step explanation:
graphed each function and looked at graphs to determine which statements were true
help me answer this question
Answers
(3s are power of x)
Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.
Answers
Answer: 0.62
Step-by-step explanation: I got the answer
The probability that the next customer will pay with cash is 0.62
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.
So, the total number of customers:
⇒ n(S) = 80 + 45 + 4
⇒ n(S) = 129
Let event A: the next customer will pay with cash
n(A) = 80
So, the probability that the next customer will pay with cash would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 80/129
⇒ P(A) = 0.62
Therefore, the probability that the next customer will pay with cash is 0.62
Learn more about the probability here:
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Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadmill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Answers
Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Answer:
15:50 = 3:10
3:10 is the answer
2x+51 and 6x+3. What is the value of x
Answers
Answer:
12
Step-by-step explanation:
2x + 51 = 6x +3
48 = 4x
x = 12
Help me with this question please!
Answers
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
Find the equation (in terms of x) of the line through the points (-2,-4) and (2,8) y=
Answers
Answer:
y = 3x + 2
Step-by-step explanation:
(-3)(a +x), if a =8, x = -10
Answers
Answer:
6
Step-by-step explanation:
a =8
x = -10
(-3)(a +x)
(-3)(8 - 10)
(-3)(-2)
6
Fill in the blank to complete the identity.
sin x =_____(COS X)
A) sec x
B) cot x
C) tan x
D) csc x
Answers
Answer:
answer will be option c tan x
pls Mark as brainliest
what is the circumference of a circle with a radius of 5 inches?
Answers
Answer:
31.42 in.
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
by inserting the number 5 into the formula, we get approximately 31.42 inches.
Answer:
about 31.42 inches
Step-by-step explanation:
2 pi r = 2 × pi × 3 = 31.41593 inches
i think i did the math right
Pls help ASAP I don’t really know hot to multiply that
Answers
Answer:
1 ft=12 inches
So mulitply 57 1/2 by 12
690
Step-by-step explanation:
Answer:
690 inches
Step-by-step explanation:
12 inch = 1 foot
1/2 ft * 12in = 6in
57 * 12 = 684
690 inches
Hope I helped :]
Please Help
Due today
Answers
The solution using the method of substitution are:
1) Substitution in mathematics is the name given to the process of swapping an algebraic letter for its value.
2) PEMDAS Order of operations
3) 8
4) 91
What is substitution in mathematics?Substitution in mathematics is the name given to the process of swapping an algebraic letter for its value. Consider the expression 5x + 2. This can take on a range of values depending on what number actually is. If we are told x = 4, we can work out the value of the expression by swapping the for the number 4.
The substitution operation must follow the algebraic order of operations.
3) (x + 5)² - y when x = -2 and y = 1
Thus:
(-2 + 5)² - 1
= 9 - 1
= 8
4) 3x + 4y² when x = -3 and y = 5
Thus:
3(-3) + 4(5)² = -9 + 100
= 91
Read more about substitution at: https://brainly.com/question/26094713
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Solve the equation 10^(4x−1)=2^5. Round your answer to the nearest hundredth
HELPPP!!
Answers
For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answers
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then