State which type of probability distribution (uniform, binomial, hypergeometric) models each situation. a) The number of defective batteries in a batch of 1000 that on average have a 0.2% defect rate.

b) Selecting the winning ticket in a lottery.

c) Predicting the expected number of tails when flipping a coin 100 times.

d) Predicting the number of boys among five children randomly selected from a group of 8 boys and six girls.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

where is the graph, sweetheart?

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.