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Stels [109]
3 years ago
5

Javier and 2 of his friends, James and Alex, are planning on taking a trip to Miami, FL. They plan on driving and would like to

rent a car. They have a choice of two rental cars, each coming with a full tank of gas. The compact car has a 16 gallon tank and averages 25 miles per gallon. The midsize car has a 21 gallon tank and averages 20 miles per gallon.
Mathematics
1 answer:
NeX [460]3 years ago
5 0
The compact car has a range of 400 miles because 16x25. On the other hand the sedan has a range of 420 miles because of 21x20. Therefore they should get the sedan because it can travel farther.
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A country is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30
kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ =  30 miles per hour

Sample mean, \bar{x} = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120

Now, t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

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3 years ago
A square has diagonal length 9m. What is the side length of the square, to the nearest centimeter?
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3 years ago
25 points+brainliest!
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Answer:

an= 10n+90

a10= 190

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