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goldenfox [79]
3 years ago
10

One leg of a right triangle is 12, and the hypotenuse is 20.

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

i believe it is 16.

hope this helped :)

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In a random sample of 26 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a sta
Rainbow [258]

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.316.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.316

The critical value that should be used in constructing the confidence interval is T = 1.316.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.316\frac{0.23}{\sqrt{26}} = 0.059

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds

The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

4 0
3 years ago
What is the measure of each angle
Wewaii [24]

Answer:

not sure if they really want numbers here

x and 14x??

Step-by-step explanation:

8 0
3 years ago
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Which statement about the rates of changes of Functions A and B as shown is true?
Phoenix [80]

Answer: function b has a greater rate of change

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Which ratio is the same as 2/3?
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Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of
ExtremeBDS [4]

Answer:

0.183

Step-by-step explanation:

This is a question on Binomial Probability

Formula =nCx × p^x × q^n - x

p = 0.72

q = 1 - p

= 1 - 0.72

= 0.28

x = number of successes = 9

n = 10

The probability that at least nine out of ten people used an online travel website when they booked their airline ticket

At least 9 out of 10 means

x ≥ 9 = x = 9 and x = 10

Hence,

P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)

P(x ≥ 9) = 0.14559635388 + 0.0374390623

= 0.18303541631

≈ 0.183

3 0
3 years ago
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