Answer:
Option C.
Step-by-step explanation:
For a given set of N elements:
{x₁, x₂, ..., xₙ}
The mean is given by:
And the variance is given by:
Then for our set:
{70, 80 ,75, 75, 80}
We have 5 elements, then N = 5
The first thing we need to find is the mean.
Then the variance will be:
The correct option is C, 14.
Answer:
77.5
Step-by-step explanation:
For 0.30 for the first 50, just subtract 50 from 175, that leaves 125.
(An easy way to do this is think of quarters, 25+25=50 and 50+25=75 so all you have to do is subtract two 25s and you know it's 125)
Put the 125 to the side, and multiply 50 to 0.30, you get 15.
Then for 0.50 over 50 containers, multiply the remaining 125 with 0.50, you get 62.5.
Add 62.5 and 15 together, that gives you 77.5
Answer:
Step-by-step explanation:
In a right triangle, the "hypotenuse" is the side opposite of the 90 degree angle. That side is "a"
Using pythagorean theorem, we can write:
Leg^2 + Leg^2 = Hypotenuse^2
Note: legs are the other 2 sides, x and x respectively
Now we can write:
a is 6 meters, so replacing a with 6 and solving we get:
To simplify the surd, we can use the property shown below:
Also
Now simplifying:
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Yes that is correct to my knowledge
