Answer:
the answer is A=0.1 and B=0.85
Step-by-step explanation:
just took the test on edge
It would be 40,000 if you rounded up
The average has to be at least 120 and at most 130
To calculate the average we need the sum of all values divided by the number of values, in this case, three (135, 145 and the third result).
120 ≤ (135 + 145 + n)/3 ≤ 130
In inequalities like this, what we change in one side, must be changed in the othe rside as well.
360 ≤ 280 + n ≤ 390
80 ≤ n ≤ 110
1. Similar: all angles are equivalent.
2. Similar: 2 angles and 1 side are equivalent.
3. Not enough information.
4. Not enough information.
5. Not enough information.
6. False.
7. True.
8. True.
9. True.
10. False.
Answer:
42.22% probability that the weight is between 31 and 35 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 34.6, \sigma = 2.8](https://tex.z-dn.net/?f=%5Cmu%20%3D%2034.6%2C%20%5Csigma%20%3D%202.8)
What is the probability that the weight is between 31 and 35 pounds
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So
X = 35
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{35 - 34.6}{2.8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B35%20-%2034.6%7D%7B2.8%7D)
![Z = 0.14](https://tex.z-dn.net/?f=Z%20%3D%200.14)
has a pvalue of 0.5557
X = 31
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{31 - 34.6}{2.8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B31%20-%2034.6%7D%7B2.8%7D)
![Z = -1.11](https://tex.z-dn.net/?f=Z%20%3D%20-1.11)
has a pvalue of 0.1335
0.5557 - 0.1335 = 0.4222
42.22% probability that the weight is between 31 and 35 pounds