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AfilCa [17]
3 years ago
12

Which value for the number makes the statement true?

Mathematics
1 answer:
umka21 [38]3 years ago
3 0
A product is the result of multiplication.
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.

Try plugging in the answers. 
  x/5=8

A. x=4
  4/5=8  (Incorrect, 4 divided by 5 is 0.8)

B. x=8
  8/5=8  (Incorrect, 8 divided by 5 is 1.6)

C. x=40
  40/5=8  (Correct, 40 divided by 5 is 8)

D. x=80
  80/5=8  (Incorrect, 80 divided by 5 is 16)

So your answer is C. 40
The quotient of 40 and 5 is 8.
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You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion
quester [9]

Answer:

The sample size must be approximately 1067 to get a margin of error of 0.03.

Step-by-step explanation:

We are given the following in the question:

Margin of error = 0.03

Significance level = 5%

Margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since, no prior proportions are given, we take

\hat{p} = 0.5

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.03 = 1.96\sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = \dfrac{1.96\times 0.5}{0.03}\\\\\\sqrt{n} = 32.67\\n = 1067.3289\approx 1067

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.

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3 years ago
32. What is the perimeter of a regular octagon with a side length of 7 units?
katovenus [111]

Answer:

56

Step-by-step explanation:

solution

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4 0
1 year ago
Read 2 more answers
Write a recursive definition for the sequence 14, 10, 6, 2...
VladimirAG [237]
The general form of recursive definition for arithmetic sequence:
a_{n}=a_{1}+d(n-1)

So, what we need to do is to find a_{1} and d.
a_{1}=14
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Having found these two values we can now define our recursive sequence:
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7 0
3 years ago
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A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 ​respon
Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14​% chose chocolate​ pie, and the margin of error was given as plus or minus ±3 percentage points. 

The pivotal quantity for the confidence interval for the population proportion is given by;

                            P.Q.  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of adults who chose chocolate​ pie = 14%

            n = sample of adults = 500

            p = true proportion

Now, the 99% confidence interval for p =  \hat p \pm Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

Here, \alpha = 1% so  (\frac{\alpha}{2}) = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.03 for 99% interval.

<u>So, 99% confidence interval for p</u>  =  0.14 \pm2.5758  \times \sqrt{\frac{0.14(1-0.14)}{500} }

                                                        = [0.14 - 0.03 , 0.14 + 0.03]

                                                        = [0.11 , 0.17]

Similarly, <u>80% confidence interval for p</u>  =  0.14 \pm 1.2816  \times \sqrt{\frac{0.14(1-0.14)}{500} }

Here, \alpha = 20% so  (\frac{\alpha}{2}) = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  = 0.02 for 80% interval.

So, <u>80% confidence interval for p</u>  =  [0.14 - 0.02 , 0.14 + 0.02]

                                                           =  [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0
3 years ago
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