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3 years ago

F(x) = x5 + (x + 3)2 x=-1

1 answer:

8 0

Hello!

You put -1 in for x

F(-1) = (-1)^5 + (-1 + 3)^2

F(-1) = -1 + (2)^2

F(-1) = -1 + 4

F(-1) = 3

The answer is 3

Hope this helps!

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10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

A matinee movie ticket costs $6.50 per child. Which equation can be used to calculate the matinee ticket price, M, for n childre

zloy xaker [14]

Answer:

M = 6.50n

Step-by-step explanation:

since it is per child, it will be multiplied by the amount of children, n. Therefore giving us the cost of M, or the equivalent.

5 0

2 years ago

Read 2 more answers

Help please! <br>using quadratic formula <br>round ti nearest hundred

Lera25 [3.4K]

Answer:

x = 0.19 or x = -0.76

Step-by-step explanation:

Equation: 7²-4x = 2

reordering the equation,

7x²-4x-2 = 0

Applying,

x = [-b±√(b²-4ac)]/2a..................... Equation 1

From the question,

Given: a = 7, b = -4, c = -2

Substitute these values into equation 1

x = [-4±√(-4²-(2×7×-2)]/(2×7)

x = [-4±√(16+28)]/14

x = (-4±√44)/14

Either

x = (-4+√44)/14

x = (-4+6.63)/14

x = 2.63/14

x = 0.19

x = (-4-√44)/14

x = (-4-6.63)/14

x = -10.63/14

x = -0.76

3 0

2 years ago

a single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Fynjy0 [20]

Answer

The probability of rolling a number of 2 is 1/6 (16.667%)

The probability of rolling a number of 3 is 2/6 (33.33%)

The probability of rolling a number 4 is 3/6 (50%)

The probability of rolling a number 5 is 4/6 (66.667%)

Explanation:
I’m not sure what you were trying to look for. So I put the probability for numbers 2,3,4, and 5. Your welcome, have a great day/night!.

6 0

2 years ago

What is the area of this figure?

timurjin [86]

Answer:

252 inches squared is the answer

Step-by-step explanation:

6 0

3 years ago