Janice measures the circumferences of the trunks of trees in the woods near her house for a science project. She finds that the circumferences are normally distributed with a mean of 72 inches and a standard deviation of 5 inches. Janice then goes back and picks a tree at random to study further. What is the probability that the circumference of the trunk of the tree is between 72 inches and 82 inches?

sorry i need the points

step-by-step explanation:

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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!

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step-by-step explanation: