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2 years ago

A jacket is on sale for 15% off the original price of $ 68.00. What is the sale price? Show your work!

Mathematics

1 answer:

Reptile [31]2 years ago

8 0

57.8

Step-by-step explanation:

To get the answer we have to find 15% of 68 and then subtract it from 68$

15% its 0.15

0.15*68=10.2

68-10.2=57.8 - its the answer

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The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p

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Answer:

$3.13$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

$\chi^2_{1-\frac{\alpha}{2}}= 51.770$

Chi square critical value for upper tail =

$\chi^2_{\frac{\alpha}{2}}= 81.085$

80% confidence interval:

$\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}$

Putting values, we get,

$=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13$

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

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