Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean
and standard error 
In this problem:
- 1,190 adults were asked, hence
- In fact 62% of all adults favor balancing the budget over cutting taxes, hence
.
The mean and the standard error are given by:
The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:
By the Central Limit Theorem
has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Answer: 336.80 miles, 
North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
Direction is given by using figure i.e.
Direction is North of east
Answer:
$76.32
Step-by-step explanation:
First, add up all the costs for everything:
17 + 30 + 25 = 72
Now, we need to add the sales tax. To do this we multiply 72 by 1.06. This is because the sales tax is 6% (the decimal form of 6% is 0.06), and we add it on to the 100% cost (which is 1 in decimal form).
(72)(1.06) = 76.32
Therefore the total cost of everything Walter bought plus the tax rate is $76.32.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer
Find out the how long are the two line segments together answer in cm .
To prove
As given
i am measurng two line segments the first line is 30centimeter long.
The second line segment is 500 millimeter .
As
1 millimeter = 0.1 centimeter
Now convert 500 millimeter into centimeter .
500 millimeter = 500 × 0.1 centimeter
= 50 centimeter
Thus second line segment be 50 centimeter long .
Total length of two line segments = 30 + 50
= 80 cm
Therefore the 80 cm long are the two line segments together answer in cm .
19 heavy equipment operators and 20 general laborers
