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Kipish [7]
3 years ago
15

A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35

years) who go to at least 3 concerts a year. Previous studies show that 35% of those people (21 to 35 year olds) interviewed go to at least 3 concerts a year. The researcher wants to be accurate within 2% of the true proportion. Find the minimum sample size necessary.
Choose one • 10 points

2185

1539

2401

8740
Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

1,539

Step-by-step explanation:

Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to

\large \frac{Z^2pq}{e^2}

where

<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9) </em>

<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35 </em>

<em>q = 1-p = 0.65 </em>

<em>e = the error proportion = 2% = 0.02 </em>

Making the calculations

\large \frac{Z^2pq}{e^2}=\frac{(1.645)^2*0.35*0.65}{(0.02)^2}=1,539.09

So, the sample size should be 1,539 young urban people (ages 21 to 35 years)

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The perimeter of a quarter circle is 14.28 KM. What is the quarter circle's radius?
lawyer [7]
Circumference= 2πr
Circumference= perimeter

14.28km= 2(3.14)r
14.28= 6.2831853072r
divide both sides by 6.2831853072
2.27= r

ANSWER: The radius is 2.27km

Hope this helps! :)
3 0
3 years ago
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Maslowich

Answer:

g(x) = \frac{1}{9} \,x^2 which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2

Therefore the answer to the problem is:

g(x) = \frac{1}{9} \,x^2

6 0
3 years ago
A cylinder with a radius of 4 yd and a volume of 80yd (find the height)
Afina-wow [57]

Answer:

Height of the cylinder = 1.60yd

Step-by-step explanation:

Volume of a cylinder =

V = πr^2h

V - volume of cylinder

π - 3.142

r - radius of cylinder

h - height of cylinder

We are provided with

V - 80

r - 4

π - 3.142

h - ?

80 = 3.142 * 4^2 * h

80 = 50.272 * h

To find h, divide both sides by 50.272

80/50.272 = 50.272h/ 50.272

1.599 = h

h = 1.60yd

7 0
3 years ago
Read 2 more answers
Please answer this question, 30 points and will give brainliest!
kotykmax [81]

Answer:

∠C = 80 ° ; ∠ T = 40°.

Step-by-step explanation:

Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).

An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.

Therefore, ∠C = 80 ° (180° – 50° - 50°)  because the sum of angles in a triangle is 180 degrees.  

∠C is the central angle of the arc RS.

∠ T is the inscribed angle of the arc RS.

An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:  

80° divided by 2 is 40°.

6 0
3 years ago
Need help with math probelem i will give you 5 stars and a good rating
ArbitrLikvidat [17]

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

7 0
2 years ago
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