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Margaret [11]
3 years ago
9

What is the length of the hypotenuse?

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

\sqrt{225=c

15=c

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A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%
bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{14}{\sqrt{60}} = 3.5

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

6 0
3 years ago
Read 2 more answers
Help!!!! please!!!!!
Serggg [28]

Answer:

76

Step-by-step explanation:

4x2+4x2+5x2+5x2+5x4+5x4

76

5 0
3 years ago
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Your parents have been advised to save 5% of their income for your college education, which would include money for housing, tui
kirill [66]

Answer:

$2447.40.

Step-by-step explanation:

We have been given that your parents have been advised to save 5% of their income for your college education, which would include money for housing, tuition, books, and fees. They had an average household income of $48,948.

Let us find 5% of average household income to find the savings of your parents in one year.

\text{Savings of your parents in one year}=\$48,948\times \frac{5}{100}

\text{Savings of your parents in one year}=\$48,948\times0.05

\text{Savings of your parents in one year}=\$2447.40

Therefore, your parents would have saved $2447.40 is one year.

4 0
3 years ago
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What is the percent of change from<br> 82 to 67?
kramer

Answer:

-18.29

Step-by-step explanation:

5 0
3 years ago
A tumor is injected with 0.92 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%. Write an expone
skelet666 [1.2K]

Answer: After 1 day, the amount of Iodine-125 has decreased by 1.15%. Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining

Step-by-step explanation:

7 0
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