Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B. What is the probability that Joe will be accepted at one and only one university?

The probability that Joe will be accepted at one and only one university

P(A n B ) = 0.1

Step-by-step explanation:

Given data the acceptance rate for applicants with similar qualifications is 25% for University A

P(A) = 25% =0.25

The acceptance rate for applicants with similar qualifications is 40% for University B

P(B) = 40% =0.40

Independent events:

let E and F are said to be independent events  then

P(E n F ) = P(E ) P(F)

both universities are independent

The probability that Joe will be accepted at one and only one university

P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1

triangle and cube

step-by-step explanation:

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!