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neonofarm [45]
3 years ago
10

What is 3/4 to the power of 2

Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

9/16

Step-by-step explanation:

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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
Which equation can be used to find the volume of this solid?
Zina [86]

Answer:

V = StartFraction 7 times 6 over 2 EndFraction times 8

Step-by-step explanation:

Volume of a triangular prism is expressed as V = Base area × Height

Base area = area of the triangle = 1/2 × base × height

If the triangular base has a base of 7 inches and height of 6 inches.

The height of the prism is 8 inches.

Base area = 1/2 × 7 × 6

Base area = (7×6)/2

Height = 8

V = (7×6)/2 × 8

The right option is V = StartFraction 7 times 6 over 2 EndFraction times 8

5 0
3 years ago
Read 2 more answers
Where is the horizontal center of mass of the entire upper extremity?
mixas84 [53]

Answer:

can you tell me please

Step-by-step explanation:

nicest

7 0
2 years ago
Express as a sum: x–y–z<br><br> plz help i will give branilly for the correct answer
babymother [125]

Answer:

i am positive it is x+y+z

Step-by-step explanation:

i'm so sorry if this is wrong..hope this helped :)

3 0
3 years ago
Write a word problem for x/2+4=12
dezoksy [38]

Answer:

Four more than half a number is twelve

Step-by-step explanation:

Four more than half a number is twelve

5 0
3 years ago
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