Amedical center observed that about 60% of its morning appointments were with elderly patients. the table shows the results of a simulation used to represent the scenario. the numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.
1 3 8 1 6 9 2 8 6 5 7 7 2 2 4
7 6 6 2 0 7 3 2 0 3 4 3 5 0 4
9 5 8 4 9 7 8 5 7 4 2 5 8 8 1
1 0 0 9 9 9 3 2 1 6 6 2 6 8 8
1 3 7 8 8 9 5 6 0 9 7 2 5 5 4
7 5 5 5 8 0 8 1 7 1 7 4 6 3 9
7 1 0 1 8 2 1 1 6 6 9 1 4 1 5
4 0 9 3 9 4 7 0 2 8 9 0 4 3 2
9 3 7 6 3 6 9 0 8 3 7 2 2 9 8
7 0 5 4 8 3 8 2 0 6 9 4 5 3 9
the estimated probability that it will take at least four patients to find one who is not an elderly patient is __
. the estimated probability that exactly two of three randomly selected morning appointments are with elderly patients is __
.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

22

step-by-step explanation:

22

where is the graph, sweetheart?

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81