The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 6.02 ounces and a standard deviation of 0.15 ounce. Suppose that you draw a random sample of 28 cans. Find the probability that the mean weight of the sample is less than 6.01 ounces.

0.3605 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.02 ounces

Standard Deviation, σ = 0.15 ounce

Sample size, n = 28

We are given that the distribution of weight of can is a bell shaped distribution that is a normal distribution.

Formula:

Standard error due to sampling =

P(weight of the sample is less than 6.01 ounces)

Calculation the value from standard normal z table, we have,  

0.3605 is the probability  that the mean weight of the sample is less than 6.01 ounces.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.