Answer:
The length is 5 inches.
Step-by-step explanation:
9/3=15/?
If you divide 9 by 3, you get 3 if you compare things you have to do the same on the other 'side'. So you do 15 divided by 3, the answer is 5.
This is a simple right triangle problem.
a^2 + b^2 = c^2
the hypotenuse (or c) is 9 +x
and a is x
And b is 15
So so we sub in the values
x^2 + (15)^2 = (9+x)^2
x^2 + 225 = x^2 + 18x + 81
144 = 18x
8 = x
Answer:
Length l = 8 m
The length of one side of the square is 8 m
Step-by-step explanation:
The area of a rectangle is;
Area = length × breadth
Given;
Length = 32 m
Breadth = 2 m
Area of the rectangle can be expressed as;
A = 32 × 2 = 64 m^2
Area of a square is;
Area = length × length = l^2
Since the area of the square is equal to the area of the rectangle, then the area of the square is 64 m^2
A = l^2
64 = l^2
l = √64
l = 8 m
The length of one side of the square is 8 m
Solution
Step 1
f(-2) is the value of f(x) at which x = -2
Next
Trace x =-2 from the graph and get f(-2)
Step-by-step explanation:
First, find the expected value.
μ = 0 (0.28) + 1 (0.37) + 2 (0.22) + 3 (0.08) + 4 (0.05)
μ = 1.25
Now find the standard deviation.
σ² = (0−1.25)² (0.28) + (1−1.25)² (0.37) + (2−1.25)² (0.22) + (3−1.25)² (0.08) + (4−1.25)² (0.05)
σ² = 1.2075
σ = 1.099
If we were to select many boxes of bulbs randomly, the number of defective bulbs would typically vary about 1.099 from the mean.