Answer:
r= 7.14 (rounded to 2 decimal places)
Step-by-step explanation:
We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.
Distributive property is a(b+c) = ab + ac
Now, the steps of solving are shown below:

Hence, value of r is 7.14 (rounded to 2 decimal places)
Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal if their dot product is zero.<span />
Answer:
0.01083 or 1.083%
Step-by-step explanation:
This problem can be modeled as a binomial probability model with probability of success p = 0.56.
The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

The probability is 0.01083 or 1.083%.