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:
s=14(116)
s = 1624
(This is the arc length for <u>RS</u>)
The line T to R cuts the circle in half. Half of a circle in degrees is 360/2. Which is 180.
Now we take the known angle and subtract it from 180 to get the unknown angle which is the angle of RS.
[180-64 = 116]
Arc length = radius * theta
Arc length = 14 * 116 = 1624
[FOR TS BELOW]
s=r(theta)
s= 14(64)
s = 896 (arc length for <u>TS</u>)
We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary
So we can write the equation
x+2x=90
3x=90
x=30
So the first angle measure is 30
Since they are in the ratio 1:2, the second angle is twice 30 so 60
Hope this helps
Answer:
D. $17.28
Step-by-step explanation:
Multiply the price of gas per gallon by the number of gallons purchased to get your answer
2.469 x 7 = 17.28
