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:
Option 2: 2x + 2 = 72
Step-by-step explanation:
First odd: x
Next odd: x + 2
x + (x + 2) = 72
2x + 2 = 72
Because the difference between two consecutive odd numbers is 2.
e.g 3 and 5
Length•width•height=volume
11•15•3=495
The slope of the line that passes through the points (x1, y1) and (x2,y2) is computed as follows:
In this case, the points are (24, 28) and (8,8), then its slope is:
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Substituting into the general equation with m = 5/4 and the point (24, 28) we get:
Finally, the equation is
y = 5/4x - 2
Answer:
either 5 or 11
Step-by-step explanation:
(8, -12)
(5, -9) or (11, -9)
If y varies consistently with x then it would copy what happens, in a manner of speaking.
In this case, y increases by three, x would either add 3 or subtract 3
I am not completely sure on this.
