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velikii [3]
3 years ago
8

Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was

estimated that the current proportion of customers who click on ads on their smartphones is 0.62. How many customers should the company survey in order to be 92% confident that the margin of error is 0.27 for the confidence interval of true proportion of customers who click on ads on their smartphones?
Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer: 10 customers.

Step-by-step explanation:

The formula to find the required sample size :

n=p(1-p)(\dfrac z^*}{E})^2        (1)

, where p= prior population proportion.

n= sample size.

\sigma = Population standard deviation from previous studies.

Let p be prior population proportion of the customers who click on ads on their smartphones .

As per given , we have

p=0.62

E= 0.27

For 92% confidence , significance level : \alpha=1-0.92=0.08

The critical value of z for 92% confidence interval from z-table would be

z_{\alpha/2}=z_{0.04}=1.75

Put theses values in the formula (1), we will get

n=(0.62)(1-0.62)(\dfrac{(1.75)}{0.27})^2

n=(0.2356)(6.48148)^2= 9.89745775254\approx 10

Therefore , the company should survey 10 customers .

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<h3>Answer:</h3>

2/15

<h3>Explanation:</h3>

There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.

Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.

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<em>Comment on nCk</em>

The number of ways to choose k objects from n, when order does not matter, is ...

... n!/(k!(n -k)!)

For the computations above, we have ...

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3 years ago
A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.a running track goes all the w
Fudgin [204]

a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

                                  = 2 x π x 4 = 25.13

b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

                     = 275.13 meters

c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

                  = ( π/2 ) r² + (π/2) r² + ( L x W )

                  =  π  r² + (  L x W)

                  = π ( 4 )² + ( 125 x 8 )

                  = 10050.26 square meters.

Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.

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For completing the square the expression would be of form a^2+2ab+b^2=(a+b)^2

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