According to the national institute of allergy and infectious diseases, approximately 7% of american children 4 years of age or under have a food allergy. a day care has capacity for 8 children in that age range. assume that the children attending the daycare are independent. let the random variable x
be the number of children in this day care who have a food allergy. the probability p(x < 2) is

89.65%

Step-by-step explanation:

This can be modeled with a binomial distribution with probability of “success” (having a food allergy) equals 7% (0.07) and the probability of “failure” (not having food allergy) equals 0.93 in 8 “trials” (8 children).

P(X < 2) = P(X = 0) + P(X = 1) =

we can compute this either by hand or computer assisted and we get our probability equals

0.8965 0r 89.65%

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq