Answer:
Part A:
The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)
Area of circle:
Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)
Area of square:
As = side^2 = 11^2 = 121 (side = 11)
=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)
Part B:
The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.
Because P(event) + P(complement of event) = 1
=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)
9 2/3 total ounces is a total split up among 6 fruits.
So we need to divide 9 2/3 among the 6 fruits.
= 9 2/3 divide 6
= change 9 2 / 3 in improper fraction
= 9*3 + 2/3
= 29/3 divided by 6/1
= 29/3 x 1/6
= 29/18, change that to mixed fractions.
The answer is 1 11/18 ounces of each fruit.
Answer:
4 × 8 = 32 so it is positive
Step-by-step explanation:
<span>9 feet, 2 inches
First thing to do is determine how high above the ground Mumford's eyes are. The proportions for an adult human is that their height is about 7.5 heads tall (this includes the head), so Mumford's head is about (7*12)/7.5 = 11.2 inches tall. The eyes are about centered vertically on the head, so Mumford's eyes are about 5.6 inches from the top of his head. So his eyes are about 7*12 - 5.6 = 84 - 5.6 = 78.4 inches from the ground. Once Mumford backs up and is able to see the goal in the mirror, he's created 2 similar right triangles. One of the triangles is the distance from the mirror to Mumford and the height of Mumford's eyes from the ground. The other triangle is the distance from the mirror to directly underneath the goal and the height of the goal. They're similar triangles since the angle of incidence of a light ray matches the angle of reflection. So let's do the math. First, the 6 feet and 10 feet measurements are multiplied by 12 to convert to inches. So we have 72 inches and 120 inches. Let's set up the equation and solve:
72/78.4 = X/120
120*72/78.4 = X
110.2040816 = X
Let's round to the nearest inch giving 110 inches. And converting to feet and inches gives 9 feet, 2 inches.</span>
