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.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

the answer is  

a.

4,624π mm2

step-by-step explanation: