A meteorologist records the number of clear days in a given year in each of 21 different U.S. cities. The results are shown below. Find the midrange. 72 143 52 84 100 98 101 120 99 121 86 60 59 71 125 130 104 74 83 55 169

Midrange = 85 (Approx.)

Step-by-step explanation:

Given:

72 143 52 84 100 98 101 120 99 121 86 60 59 71 125 130 104 74 83 55 169

Find:

Midrange

Computation:

Number of data = 21

Midrange = [72 + 143 + 52 + 84 + 100 + 98 + 101 + 120 + 99 + 121 + 86 + 60 + 59 + 71 + 125 + 130 + 104 + 74 + 83 + 55 + 169] / 21

Midrange = 1,786/21

Midrange = 85 (Approx.)

19.24 feet

Step-by-step explanation:

The line from your feet to the pole is one side of a triangle, 17 feet long. The pole itself is another side, 9 feet long, at a 90 ° angle to the ground. So these two sides are the legs (shorter two sides) of a right triangle. The line from your feet to the top of the pole is the third side of the triangle. It is also the side opposite the 90° angle between the ground and the pole, so it is the hypotenuse of a right triangle.

Since it is a right triangle, we can use the Pythagorean Theorem:

c² = a² + b², so

'c' is the distance from your feet to the pole, the hypotenuse of the right triangle.

c² = 17² + 9² = 289 + 81 = 370

c² = 370

c = SQR ROOT OF (370)

c ≈ 19.23538406...

So, rounding to hundredths, c is approx. 19.24 feet