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masha68 [24]
3 years ago
7

Light bulbs usually cost $2. They are 0.50 of the regular price. What is the sale price? Is this a better price than if the sale

were 0.35 of the regular price?
Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
It is 50% off and no because 50% is greater than 35%
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Answer:

a) p-hat (sampling distribution of sample proportions)

b) Symmetric

c) σ=0.058

d) Standard error

e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

Step-by-step explanation:

a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.

b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.

This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.

c) The variability of this distribution, represented by the standard error, is:

\sigma=\sqrt{p(1-p)/n}=\sqrt{0.16*0.84/40}=0.058

d) The formal name is Standard error.

e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:

\frac{\sigma_{90}}{\sigma_{40}}=\frac{\sqrt{p(1-p)/n_{90}} }{\sqrt{p(1-p)/n_{40}}}}= \sqrt{\frac{1/n_{90}}{1/n_{40}}}=\sqrt{\frac{1/90}{1/40}}=\sqrt{0.444}= 0.667

If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

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3 years ago
-2 1/3 - (-5) = []<br><br> A. 2 2/3<br> B. 3 1/3<br> C. 3 2/3<br> D. -7 1/3
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Answer:

2 \ \frac{2}{3}

Step-by-step explanation:

−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5) \\ = \frac{8}{3}  \\ =2 \ \frac{2}{3}

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Answer: Third option.

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If f(x)-k, the function is translated "k" units down.

If f(x+k), the function is translated "k" units left.

If f(x-k), the function is translated "k" units right.

In this case you have the following function:

f(x)=3x+2

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Answer:

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Answer:

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