1. A plastic bottle company is measuring the variation of the cap size that their newest machine produces. They gather the data from 1500 bottle caps and calculate the mean and standard deviation. The mean diameter of the bottle caps is 25 mm with a standard deviation of 1
mm.
Draw a Normal Distribution curve for this situation (1 point). For each question, show your work.

a. Of the 1500 bottle caps measured, how many bottle caps measured between 24 and 26 mm? (1 point)

b. Of the 1500 bottle caps measured, how many bottle caps measured 25 mm or less? (1 point)

C. Of the 1500 bottle caps measured, how many bottle caps measured between 22 and 28 mm? (1 point)

d. If you randomly choose 1 bottle cap and measure it, what is the likelihood that it will be between 23 and 27 mm?(1 point)

answer: h

step-by-step explanation:

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!

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )