Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Round your answer up to the nearest integer.
sample size = _____
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 5% = 0.05
Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be
From the question we are told the confidence level is 90% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.645%20%7D%7B0.05%7D%20%5D%5E2%20%2A%200.5%20%281%20-%200.5%20%29%20)
=>
Answer:
Mean: 33.454545 Median: 34.5 Mode: 25
Step-by-step explanation:
By putting all of the numbers in numerical order, then adding them and dividing them by 11 (the number of numbers in the list), you get 33.45 repeating as the mean. With the organized list of numbers find the middle number, which is 35, and that is the median. The mode, the most common number in the sequence, is 37 and 25.
25+25+27+28+32+35+37+37+39+41+42=368
368/11=33.45454545
Work: 2x/2 > 5/2 =2.5. answer-2.5
Answer:
19 cm
Step-by-step explanation:
Given :
Volume, V = 205 to the √3 = 205^√3
Height, h = 8.9
radius, r
Volume of cylinder:
V = πr²h
205 to the square root of 3 10094.275
company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water bottle?
10094.275 = π * r² * 8.9
10094.275 = 3.14 * 8.9 * r²
10094.275 = 27.946r²
r² = 10094.275 / 27.946
r² = 361.20643
r = √361.20643
r = 19 cm
The value of 
in the given triangle ABC is 
. Option D is correct.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle 
is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
Therefore, the value of in the given triangle ABC is . Option D is correct.
Learn more about trigonometric ratios here:
brainly.com/question/1201366
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