Elevator ride: engineers are designing a large elevator that will accommodate 40 people. the maximum weight theelevator can hold safely is 8120 pounds. according to the national health statistics reports, the weights of adult us. menhave mean 194 pounds and standard deviation 68 pounds, and the weights of adult us. women have mean 164 poundsand standard deviation 77 pounds. a. if 40 people are on the elevator, and their total weight is 8120 pounds, what is their average weight? b. if a random sample of 40 adult men ride the elevator, what is the probability that the maximum safe weight will beexceeded? c. if a random sample of 40 adult women ride the elevator, what is the probability that the maximum safe weight will beexceeded?

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: