Answer:
235.5 units^2
Step-by-step explanation:
(3.14*5^2*9)/3 = 235.5
Answer:
Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface of the mountain is represented by the linear equation y=−0.5x+25, find the distance in feet the skier lands from the beginning
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
Answer:
Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Step-by-step explanation:
This is the general idea to solve the problem.
Suppose that the mean and variance of the your distribution are .
respectively. Then, according to the problem you are looking for the probability.

Consider then the following random variable.

Using the central limit theorem
distribution will be close to normal, and its mean and variance will be
, respectively. Therefore you just have to find the probability that a normally distributed random variable with that mean and that variance which I just mentioned is less than 14.
For this case we have that

Then you have that

and we have that if
is a normally distributed random variables with mean 280 and variance 70 we have that

the actual probability we are looking for is

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.
Let the number we are looking for be x we have that:
x/2 - 6 = 3
We can rearrange to find x:
x/2 = 9
x = 18
The number is 18