Two months ago, the mean daily rainfall in a local city was 9.4 cm. the mean absolute deviation was 3.5 cm. last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm. which statement about the rainfall is true? a. more rain fell two months ago than last month. b. about the same about of rain fell two months ago as last month. c. last month, the amount of rain that fell each day varied about the same as the month before. d. last month, the amount of rain that fell each day varied less than the month before.

Option d is right

Step-by-step explanation:

Given that two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.

Since mean absolute deviation is a measure of variation we find that last month there was less variation than the month before

Hence option d) Last month, the amount of rain that fell each day varied less than the month before.

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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:

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