Yx*2; use x=7,And y=2

A tennis court is 78 feet long and 36 feet wide. If a player hits the ball diagonally from one corner to the diagonal corner on

12345 [234]

The line cutting the rectangle diagonally gives you two identical triangles and the dividing line is the hypotenuse.

So we apply the Pythagorean formula:
a^2+b^2 = c^2
36^2+78^2 = c^2
1296+6084 = 7380 take the square root: sqrt7380 = 85.9

Answer 85.9 feet = round to 86

8 0

3 years ago

Below are scatter plots and words that describe them. Circle all words that

Stolb23 [73]

I'm sorry but it is impossible to answer the question you have asked for the lack of information. We could fix this issue if you display a picture of the equation!

3 0

3 years ago

A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it

garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

Step (i):-

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

Step(ii):-

Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

Alternative hypothesis :H₁:

'μ' <18min

Level of significance : ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }$

t = 2.9272

Step(iii):-

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at 5% significance level of significance

Conclusion:-

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0

2 years ago

Not sure how I would solve this

Elden [556K]

Answer:

7/6

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Using the given points

m = (-2 - -9)/(2 -8)

= (-2+9) / (-6)

= 7/6

4 0

3 years ago

What is the formula for a confidence interval?

ikadub [295]

Answer:

a) The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) $\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part a

The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

5 0

3 years ago