What is the surface area of a cylinder whose radius is 3 inches and whose height is 10 inches? Round to the nearest tenth.

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago

Ken bought 2 video games and 1 DVD for a total of $105. Jerome bought 1 video game and 4 DVDs for a total of $80. Which system o

Zigmanuir [339]

Answer:

I think that the Linear system of equations can be used to find the cost.

Step-by-step explanation:

5 0

2 years ago

Last week at the park Haeather ran 4 miles in 48 minutes when she runs her next race she Hope's to improve her time by 2 minutes

Korvikt [17]

Answer:

Haeather ran at a speed of 5 miles per hour.

Step-by-step explanation:

Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:

48/4 = 12

Thus, Haeather ran 1 mile every 12 minutes.

60/12 = 5

1 x 5 = 5

Therefore, Haeather ran at a speed of 5 miles per hour.

3 0

3 years ago

-5x + 12 - 7x = -3(5x + 8)

nikitadnepr [17]

Simplify -5x + 12 - 7x to -12x + 12

-12x + 12 = -3(5x + 8)

Expand

-12x + 12 = -15x - 24

Add 15x to both sides

-12x + 12 + 15x = -24

Simplify 12x + 12 + 15x to 3x + 12

3x + 12 = -24

Subtract 12 from both sides

3x = -24 - 12

Simplify -24 - 12 to -36

3x = -36

Divide both sides by 3

x = -36/3

Simplify 36/3 to 12

7 0

3 years ago

Put in slope intercept form

LiRa [457]

These require you solve for y. Do that by subtracting the x-term, then dividing by the y-coefficient.

5. 3y = 7x -9
y = (7/3)x -3

6. 6y = -2x -3
y = (-2/6)x -3/6
y = (-1/3)x -1/2

7. 8y = 2x + 12
y = (1/4)x +3/2

3 0

3 years ago