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Sindrei [870]
3 years ago
14

What is the side length a in the triangle below?

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

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Shoppers at a mall have a mean weight of 70 kg 70kg70, start text, k, g, end text with a standard deviation of 10 kg 10kg10, sta
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Answer:

The answer is below

Step-by-step explanation:

Shoppers at a mall have a mean weight of 70 kg with a standard deviation of 10 kg. An elevator at the mall holds a maximum of 6 people, and safety engineers are curious about the average weight of shoppers on a full elevator. Suppose that we take random samples of 6 shoppers and calculate the mean weight x ˉ  on top of the shoppers in each sample.

Solution:

Let variable x represent the weight of a shopper at the mall.

Assuming this variable has a normal distribution with mean μ= 70kg and standard deviation σ = 10kg.  

There are random samples of 6 shoppers. That is sample size (n) = 6  

The mean of the sample (μₓ) is the same as the mean of the population (μ), hence:

μₓ = μ = 70 kg

The standard deviation of the sample (σₓ) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n).. Hence:

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5 0
3 years ago
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A school ice hockey game has three 20-minute periods. Collin plays 12 minutes each period. Which ratio represents Collin's playi
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Step-by-step explanation:

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3 0
3 years ago
Use the given information to find the p-value. the test statistic in a two-tailed test is z = -1.63.
KATRIN_1 [288]
Answer:
From standard tables, the p-value for a test statistic of z* = -1.63 is 0.0516.
This p-value is for a one-tailed test (the shaded left portion) of the curve shown in the figure below.
For a two-tailed test, the p-value = 2*0.0516 = 0.1031.

Explanation:
The p-value is used to test a claim made in a null hypothesis.
If the p-value is small (< 0.05) the claim made in the null hypothesis is rejected as being unlikely.
If the p-value is large (> 0.05), the evidence against the claim is weak, and the conclusion is to fail to reject the hypothesis.
If the p-value is equal to the cutoff (say, 0.05), it s uncertain to draw a conclusion.

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