Construct a polynomial function with the following properties: fifth degree, 3 is a zero of multiplicity 3, −2 is the only other zero, leading coefficient is 2.

2(x - 3)^3(x + 2)^2.

Step-by-step explanation:

 The zero 3 and multiplicity 3 means the factor

(x -3)^3 is included.

The only other zero is -2  which gives us (x + 2)^2,  - it must be multiplicity 2 because the equation is of the fifth degree so there must be 5 zeroes.

The leading coefficient is 2  so our function is:

2(x - 3)^3(x + 2)^2.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: