### A hurricane wind blows across a $6.00 \,m\times 15.0\, m$ flat roof at a speed of $130\, km/h$. Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.

What is the pressure difference? How much force is exerted on the roof? If the roof cannot withstand this much force, will it “blow in”

### Find the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)

The aim of this problem is to get us familiar with the area of a very common quadrilateral known as a parallelogram. If we recall, a parallelogram is

### Consider a binomial experiment with n=20 and p=0.70.

Find f(12). Find f(16). Find $P(x ge 16)$. Find $P(x le 15)$. Find $E(x)$. Find $var(x)$ and $sigma$. The main objective of this question is to find

### The missing number in the series 9, ? , 6561, 43046721 is: 81, 25, 62, 31, 18.

This problem aims to familiarize us with missing numbers in different sets of series. The concept required to solve the given problem is basic

### Can two events with nonzero probabilities be both independent and mutually exclusive?

The question aims to answer if two events can be both independent and mutually exclusive simultaneously with non-zero probabilities. When we toss two

### The joint density of x and y is f(x y)=c(x^2-y^2)e^{-x}. Find the conditional distribution of Y, given X=x.

This question aims to find the conditional distribution of the given function with a given condition X=x. The question is based on the joint

### The graph of a function f is shown. Which graph is an antiderivative of f?

This question explains the concept of antiderivative and how to draw its graph from the function graph. The antiderivative of a function is the

### Determine whether each of these functions is a bijection from R to R.

$f(x)= −3x+4$ $f(x)= −3(x)^2+7$ $f(x)= dfrac{x+1}{x+2}$ $f(x)= (x)^5 + 1$ This question aims to find which of the above-mentioned functions is a

### Based on the normal model N(100, 16), describing IQ scores. What percent of people’s IQ would you expect to be:

Percentage of population greater than 80. Percentage of population less than 90. Percentage of population between 112 – 132. The question aims