The answer is x=19.
Hope it helps! (:
Using the <em>normal probability distribution and the central limit theorem</em>, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
<h3>Normal Probability Distribution</h3>
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 sample means of size n has standard deviation .
In this problem:
- The mean is of .
- The standard deviation is of .
- A sample of 144 is taken, hence .
Item a:
The probability is the <u>p-value of Z when X = 42600</u>, hence:
By the Central Limit Theorem:
has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the <u>1 subtracted by the p-value of Z when X = 46240</u>, hence:
has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the <u>p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190</u>, hence:
X = 46980:
has a p-value of 0.9693.
X = 43190:
has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the <em>normal probability distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
Answer:
There will be four parts
Step-by-step explanation:
lets say there are three green balloons and one yellow balloons. The ratio will be 3:1
Answer:
Graph C
Step-by-step explanation:
Graph C represents a proportional relationship because it is a straight line and it passes through the origin. If you could rate my answer a 4-5 or give me a thanks it would be greatly appreciated.
<span>2c/11=(c-3)/4
We simplify the equation to the form, which is simple to understand
<span>2c/11=(c-3)/4
Simplifying:
<span> + 0.181818181818c=(c-3)/4
Reorder the terms in parentheses
<span> + 0.181818181818c=( + 0.25c-0.75)
Remove unnecessary parentheses
<span> + 0.181818181818c=0.25c-0.75
We move all terms containing c to the left and all other terms to the right.
<span> + 0.181818181818c-0.25c=-0.75
We simplify left and right side of the equation.
<span>-0.0681818181818c=-0.75
We divide both sides of the equation by -0.0681818181818 to get c.
<span>c=11 remember to mark me the brainiest please</span></span></span></span></span></span></span></span>