Answer: 0.03855
Step-by-step explanation:
Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.
Its maximum safe load is 10000 pounds.
Let X denotes the weight of 50 people.
As per given ,
Population mean weight of 50 people = 
Standard deviation of 50 people 
Then , the probability its maximum safe load will be exceeded =
![P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855](https://tex.z-dn.net/?f=P%28X%3E10000%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B10000-9500%7D%7B282.84%7D%29%5C%5C%5C%5C%3DP%28z%3E1.7671-8%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1.7678%29%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3DP%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3D1-0.96145%5C%20%5C%20%5C%20%5B%5Ctext%7B%20By%20p-value%20of%20table%7D%5D%5C%5C%5C%5C%3D0.03855)
Thus , the probability its maximum safe load will be exceeded = 0.03855
Answer: 2(p+2) * (p-1)
Step-by-step explanation:
2p^2 + 2p - 4
2 (p^2 + p - 2)
2 (p^2 + 2p - p - 2)
2(p x (p+2) - (p+2)
2 (p+2) * (p-1)
Answer:
A. 4:16
Step-by-step explanation:
4*1: 4*4
4:16
The correct answers would be 32 and 12.
32 + 12 = 40, and 32 - 12 = 20. Hope this helps! Have a great day!
Answer:
8 m = width
28 m = length
Step-by-step explanation:
Let w = width
3w + 4 = length
P = 2w + 2l
= 2w + 2(3w + 4) = 72
2w + 6w + 8 = 72
8w + 8 = 72
8w = 64
w = 8 m = width
3w + 4 = 24 + 4 = 28 m = length
