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iogann1982 [59]
3 years ago
7

A rectangle is twice as long as it is wide. If its area is 50 sq. yd., find the length.

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0
A = L * W
A = 50
L = 2W

50 = W(2W)
50 = 2W^2
50/2 = W^2
25 = W^2
sqrt 25 = W
5 = W

L = 2W
L = 2(5)
L = 10 <==length is 10 yd
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Answer:

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n_2 =9 represent the sample size for group Dallas

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\bar X_2 =44 represent the sample mean for the group Dallas

s_1=3 represent the sample standard deviation for group Boston

s_2=3 represent the sample standard deviation for group Dallas

We can assume that we have independent samples from two normal distributions with equal variances and that is:

\sigma^2_1 =\sigma^2_2 =\sigma^2

Let the subindex 1 for Boston and 2 for Dallas we want to check the following hypothesis:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 > \mu_2

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Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are significantly higher than those in Dallas

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