Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alphaequals0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $65 comma 000 comma 000, $89 comma 000 comma 000, $51 comma 000 comma 000, and so on? Budget (x) 65 89 51 35 204 98 85

Answers

Answer 1

The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :

Question :

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42

a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0

ii) H_0: rho = 0, H_1: rho notequalto 0

iii) H_0: rho notequalto 0, H_1: rho = 0

iv) H_0: rho = 0, H_1: rho > 0

b. Construct a scatterplot. Choose the correct graph below.

c. The linear correlation coefficient r is.

d. The test statistic t is.

e. The P-value is.

Answer:

Pvalue > α ; Hence, we fail to reject the null.

Step-by-step explanation:

When testing for correlation :

Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.

1.)

H_0: rho = 0,

H_1: rho notequalto 0

2.)

Given the data :

Budget(x) : 61 92 48 36 135 58 93

Gross(y) : 69 62 53 58 627 144 42

Scatter plot is attached below

3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation

4.)

Test statistic :

T = r / √(1 - r²) / (n - 2)

r² = 0.751² = 0.564

T = 0. 751 / √(1 - 0.564) / (7 - 2)

T = 0.751 / 0.2952964

T = 2.543

E.)

Using the Value from Tscore calculator :

Pvalue(2.543, 5) ; two tailed

Pvalue = 0.0517

At α = 0.05;

Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.

Listed Below Are The Budgets (in Millions Of Dollars) And The Gross Receipts (in Millions Of Dollars)

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Use synthetic division and the Remainder Theorem to find P(a)
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x^3+4x^2-8x-6
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Answer:

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

| -2 -4 24

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

1 2 -12 18

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The answer is y = -1/3x + 2

Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3

Answer:

[tex]y=-1/3x+2[/tex]

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

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{2-1}{0-3}[/tex]

[tex]=1/-3[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=-1/3(x-3)[/tex]

[tex]y-1=-1/3x+1[/tex]

[tex]y=-1/3x+2[/tex]

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

hope it helps...

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Which inequality is true when s = -4 and t = 2?
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2. s < -t
3. -s < t
4. -s < -t

Answers

2.s⁢-t
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Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= help (formulas) Is the differential equation 9ty+ety′=yt2+81 linear and homogeneous, linear and nonhomogeneous, or nonlinear?

Answers

Answer:

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous

Step-by-step explanation:

Given that,

The differential equation is -

[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]

[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]

By comparing with y′+p(t)y=g(t), we get

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

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Answers

Answer: Hello some part of your question is missing below is the missing part

Missing question: Find the probability that the Smith family had at least 6 girls?

answer : 0.1406

Step-by-step explanation:

Number of children = 8

probability of a child being a girl ( success ) = 0.5 (

P( boy ) ( q ) = 1 - 0.5 = 0.5

P( at least 6 girls ) = p(k = 6 ) + p(k = 7 )

= 0.109375 + 0.03125 ≈ 0.1406

( using Binomial probability Calculator )

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Answer:

Step-by-step explanation:

(0, 0) Is not a answer because ithe point does not fall within the shaded area

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0-7
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Answers

Answer:

0-5

Step-by-step explanation:

Just add the 6 to -1 and then you get x=5
Answer: 5

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Answers

Answer:

area of the circle,

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diameter=20m

πr²

3.14×100

314m²

area of the triangle=1/2×20×10

=100

area of the shaded area=314-100=214 m²

the answer is option H

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Answers

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

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r is the common ratio

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Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

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Answers

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Answers

Answer:

c > 8

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Step-by-step explanation:

Note that

> means greater than

< means less than

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Here is my method

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Answers

Answer:

a=1; b=14

Step-by-step explanation:

you have to form a perfect square

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if you added a one in one side you have to added to the other side too

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Answer:

a = 1, b = 14

Step-by-step explanation:

To complete the square

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the first truck

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Step-by-step explanation:

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Answers

21 Months! Goodluck :)

Answer:

Step-by-step explanation:

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Answers

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Answer:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Rotate and flip

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Answers

Answer:

26.01

Step-by-step explanation:

A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter plot below.

Distance (miles)

YA

450

400

350

300

250

200

L

150

100

50

0

0 1 2 3 4 5 6 7 8 9

Time (hours)

Based on the scatter plot, the family travels miles in the first 3.5 hours.

If you answer with a link I will report you and get your account blocked

Answers

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours) distance ( miles)

0 0

1 50

2 100

3 150

4 200

5 250

6 300

7 350

8 400

9 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

Simplify:
2
(
5
+
3
x
)
+
(
x
+
10
)
2(5+3x)+(x+10)

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Answer:

7x + 20

Step-by-step explanation:

I dont have a explanation, but this could be right. :)

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ANSWER ?

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it should be the answer- 3-2y

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Answer:

5.73

Step-by-step explanation:

I hope that's help u

Answer:

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Step-by-step explanation:

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Answers

i believe the answer would be . there are 9 possible numbers and you can't repeat them therefore taking out 1, 2, and 3. that leaves 7 possible numbers therefore it would be a 1/7 chance of getting 4.

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Step-by-step explanation:

got right in quiz

Kathy has a circular hot tub in her backyard with a radius of 5.5 feet. She wants to place a decorative border around the circumference of the hot tub. If the border costs $6.70 per foot, how much will the border for the hot tub cost?

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Wow I got the same question

What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?

33 ft 2
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Answers

Answer:

[tex]area = base \times height \\ = 10.5 \times 6 \\ = 63 \: {ft}^{2} [/tex]

answer:
d:
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explanation:

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