Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
There are no 2 consecutive integers which give a product 360360
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:
1.25b when b < 12 , 1b & then 0.75 b when b <u>> </u>12
Step-by-step explanation:
- Price for b bagels = Price x Quantity
* Less than 12 bagels bought, cost $1.25 per bagel
So, price for b bagels, when (b < 12) = 1.25b
* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel
So, price for b bagels, when (b = 12) = b
So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12
Answer:
<h2>1).</h2>
(5a3b)(2ab)
Expand
That's
15ab( 2ab )
we have the answer as
<h3>30a²b²</h3>
<h2>2).</h2>
5y(-y² + 7y - 2)
Expand
That's
<h3>- 5y³ + 35y² - 10y</h3>
Hope this helps you