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Crank
2 years ago
6

1. Mr. Jones is correcting math test. Here are the scores for the

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

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3⋅f(−4)−3⋅g(−2)????????
andrey2020 [161]
The answer to that is: -12f+6g
Hope this helps ;-)
4 0
2 years ago
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Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
2 years ago
A nutritionist wants to know how the taste of artificial sweeteners impacts food choices of diabetic patients. From which group
kvasek [131]

The nutritionist should collect data from all diabetic patients to obtain accurate results.

<h3>What is the ideal population for this study?</h3>

This study aims at analyzing the food choices of diabetic patients. Because of this, the population studied should be diabetic patients including different types such as gestational, type I and II.

Moreover, because this affects to all diabetic patients, they all should be included even if they do not usually eat foods with arficial sweeteners.

Based on this, the best population is all diabetic patients.

Learn more about diabetic in: brainly.com/question/14823945

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6 0
1 year ago
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Consider the function f (x) = x2.
klio [65]

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If f(x-k) then the function is shifted "k" units to the right.

 Therefore, for the function f(x)=x^{2}, when we subtract 2 from the input, then we get the function g(x) in the form:

 g(x)=(x-2)^{2}

We can conclude that subtracting 2 from the input of the function f(x)=x^{2}, then the graph is shifted 2 units to the right.

5 0
3 years ago
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Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.
N76 [4]
The solution is <span>B. π/12+nπ

</span>proof 
sinx cosx = 1/4 is equivalent to  2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ,  so x = π/12+nπ
8 0
3 years ago
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