The answer is c because 2,0 can make the perfect circumscription
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Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.
![Z\sim N(0, 1)](https://tex.z-dn.net/?f=Z%5Csim%20N%280%2C%201%29)
The formula to compute the <em>z</em>-score is:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:
![z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B18.12-18%7D%7B0.10%7D%3D%5Cfrac%7B0.12%7D%7B0.10%7D%3D1.20)
Thus, the z score for bolt of diameter 18.12 mm is 1.20.
Answer:
C. They have the same chance of winning.
Step-by-step explanation:
Probability (2 tails) = 1/2 * 1/2 = 1/4
Probability( 2 heads = 1/2 * 1/2 = 1/4.
Therefore the Probability they match = 1/4 + 1/4 = 1/2.
The probability of they don't match = 1 - 1/2 = 1/2 because all probabilities add up to 1. There are only 4 possible results and their probabilities must add up to 1.
Can you do prime factoriztion
1000
100 * 10
10 * 10 * 10
27
9 * 3
3 * 3 * 3
cube root (1000/27) = 10/3