Answer:
B. The spread of scores for team B was greater than for team A
Step-by-step explanation:
I just took the quiz, this was right.
Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a ![Pr = \frac{2}{110}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B2%7D%7B110%7D)
b ![Pr = \frac{72}{110}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B72%7D%7B110%7D)
Step-by-step explanation:
Given
--- hammers
--- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:
![Pr = P(D) * P(D)](https://tex.z-dn.net/?f=Pr%20%3D%20P%28D%29%20%2A%20P%28D%29)
![Pr = \frac{2}{11} * \frac{2-1}{11-1}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B2%7D%7B11%7D%20%2A%20%5Cfrac%7B2-1%7D%7B11-1%7D)
![Pr = \frac{2}{11} * \frac{1}{10}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B2%7D%7B11%7D%20%2A%20%5Cfrac%7B1%7D%7B10%7D)
![Pr = \frac{2}{110}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B2%7D%7B110%7D)
Solving (b): Probability that none are defective.
The probability that a selection is not defective is:
![P(D') = \frac{9}{11}](https://tex.z-dn.net/?f=P%28D%27%29%20%3D%20%5Cfrac%7B9%7D%7B11%7D)
For two selections, the probability that all are not defective is:
![Pr = P(D') * P(D')](https://tex.z-dn.net/?f=Pr%20%3D%20P%28D%27%29%20%2A%20P%28D%27%29)
![Pr = \frac{9}{11} * \frac{9-1}{11-1}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B9%7D%7B11%7D%20%2A%20%5Cfrac%7B9-1%7D%7B11-1%7D)
![Pr = \frac{9}{11} * \frac{8}{10}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B9%7D%7B11%7D%20%2A%20%5Cfrac%7B8%7D%7B10%7D)
![Pr = \frac{72}{110}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B72%7D%7B110%7D)
Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
I think u divide or multiply
I think its 0.0014832 m<span>2</span>