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weeeeeb [17]
2 years ago
5

Evaluate the expression when a = -15 and B = - 5 and B +14/a =

Mathematics
1 answer:
Vinvika [58]2 years ago
5 0

Answer: \frac{3}{-5}

Step-by-step explanation:

All you do is plug in the number for each variable.

\frac{b+14}{a}=\frac{-5+14}{-15}=\frac{9}{-15}=\frac{3}{-5}

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You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confide
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Question:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of ​$114.00. Assume the population standard deviation is ​$15.30. Construct a​ 90% confidence interval for the population mean.

Answer:

At the 90% confidence level, confidence interval = 110.2484 < μ < 117.7516

At the 95% confidence level, confidence interval = 109.53 < μ < 118.48

The 95% confidence interval is wider

Step-by-step explanation:

Here, we have

Sample size, n = 45

Sample mean, \bar x = $114.00

Population standard deviation, σ = $15.30

The formula for Confidence Interval, CI is given by the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where, z is found for the 90% confidence level as ±1.645

Plugging in the values, we have;

CI=114\pm 1.645 \times \frac{15.3}{\sqrt{45}}

or CI: 110.2484 < μ < 117.7516

At 95% confidence level, we have our z value given as z = ±1.96

From which we have CI=114\pm 1.96 \times \frac{15.3}{\sqrt{45}}

Hence CI: 109.53 < μ < 118.48

To find the wider interval, we subtract their minimum from the maximum as follows;

90% Confidence level: 117.7516 - 110.2484 = 7.5

95% Confidence level: 118.47503 - 109.5297 = 8.94

Therefore, the 95% confidence interval is wider.

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Step-by-step explanation:

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Round off 8.02 to 8 and 5.98 to 6.  Then subtract:  8 - 6 = 2 (approximately)
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Answer:

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Step-by-step explanation:

16/25 = 0.64

0.64*100 = 64

64%

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