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
Mid point formula =
(x1/2+x2/2, y1/2+y2/2)
x=
x+0 = 8
/2
x+0 = 8 x 2
x = 16
y=
y+(-2) = 1
/2
y-2 =1 x2
y=2+2
y=4
(16,4)
(In this case, the midpoint (x ,y) will be represent as the answer)
When you have -(-2) it equals +2 and the same goes for any other number. When you have +(-2) it equals -2 and the same goes for any other number. Hope this helps!
Answer:
1. 54
2. 224.4
3. 344
4. 352
5. 516
Step-by-step explanation:
I did all of them but the last one.
If you do 93.60-4.20=89.40. Then you do 89.40 divided by 6= 14.90 so each cd before tax would be $14.90.