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3 years ago

Jess can drive 200 miles on 1/2 tank of gas. How far can he drive with 3/4 of a tank?

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

300 miles

Step-by-step explanation:

Since Jess can drive 200 miles on a 1/2 of a tank of gas that must mean he can drive 100 miles with his gas tank only 1/4 full. Since he needs to know how far he can drive with his gas 3/4 of the way full he would just add 200 miles to 100 miles and get 300 miles.

You figure this out by dividing 200 miles by 2 since it is a half way full and you just need to half the amount of miles to get how many miles it is for a fourth of the way full. You would need to find out how much it is for a fourth of the way full since it only says Jess can drive 200 miles on a 1/2 tank of gas. However we need to find out how far he can drive with 3/4 tank of gas. Which you know that you need to find out how much it is for a fourth of a tank of gas or 1/4 since 1/2 is also equal to 2/4 and 1/4 plus 2/4 is equal to 3/4.

I hope this helps! If you need any more further help with this question let me know.

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

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3 years ago

Can somebody help me please ?? :) Thank u if u do

Lorico [155]

SF = 9/18 = 1/2 or 0.5

answer
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4 years ago

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Ksju [112]

Answer:

I believe it would be -2

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The midpoint of (0,4) and (4,-8) is (2,-2)

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3 years ago

Find the missing side (X) round to the nearest hundredth

nata0808 [166]

Answer:

$\displaystyle 18,28 ≈ x$

Step-by-step explanation:

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Information on trigonometric ratios

$\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ$

I am joyous to assist you at any time.

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