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3 years ago

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M=−8r ^2 +11r−6 T=−7r ^2−9r+14 M+T= Answer is: −15r ^2 +2r+8

1 answer:

11Alexandr11 [23.1K]3 years ago

8 0

Answer:

$\large\boxed{M+T=-15r^2+2r+8}$

Step-by-step explanation:

$M=-8r^2+11r-6\\T=-7r^2-9r+14\\\\M+T=?\\\\\text{Substitute:}\\\\M+T=(-8r^2+11r-6)+(-7r^2-9r+14)\\\\M+T=-8r^2+11r-6-7r^2-9r+14\qquad\text{combine like terms}\\\\M+T=(-8r^2-7r^2)+(11r-9r)+(-6+14)\\\\M+T=-15r^2+2r+8$

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Answer:

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Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

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The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

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From z tables

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3 years ago

The graph of f(x) = 2x is shown on the grid.

solniwko [45]

Answer:

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Step-by-step explanation:

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3 years ago

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A professor obtains SAT scores and freshman GPA for a group of 15 college students with the hope that she can predict GPA using

kramer

The hypothesis test analyzes the null and alternative hypothesis of the

plausibility of a correlation between the SAT scores and GPA.

The hypothesis test that would be appropriate is <u>a hypothesis test that checks that the slope of the regression line is not zero</u>.

Reasons:

The data collected by the professor = The scores of the college students

The type of scores collected = SAT scores, and GPA scores

The test that would be appropriate for the example, is the test for the

existence of a significant linear relationship between the input variable

(the SAT scores) and the output variable (the GPA)

The test is known as <u>the test for the slope of the regression line</u>

The equation of the regression line is; Y = B₀ + B₁·X

Where;

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Learn more about hypothesis test for linear regression here:

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2 years ago

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3 years ago

Select the correct answer from each drop-down menu.

vazorg [7]

Answer:

Step 1: Distribute $-2$ to $5x$ and $8$

Step 2: Subtract from both sides of the equation $6x$

Step 3: Add to both sides of the equation $16$

Step 4: Divide both sides of the equation by $-16$

Step-by-step explanation:

Step 1: Apply the Distributive Property. Then you must distribute $-2$ to $5x$ and $8$

Then:

$-2(5x+8)=14+6x\\\\-10x-16=14+6x$

Step 2: You must apply the Subtraction property of Equality and subtract $6x$ from both sides of the equation. Then:

$-10x-16-6x=14+6x-6x\\\\-16x-16=14$

Step 3: You must apply the Addition property of Equality and add $16$ to both sides of the equation. Then:

$-16x-16+16=14+16\\\\-16x=30$

Step 4: You must apply the Division property of Equality and divide both sides by $-16$ . Then:

$\frac{-16x}{-16}=\frac{30}{-16}\\\\x=\frac{30}{-16}\\\\x=-\frac{15}{8}$

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3 years ago