<span>Second angle = x
First angle = 2x
Third angle = x + 68
x + 2x + (x + 68) = 180
4x + 68 = 180
4x = 112
x = 28.
First angle = 56 degrees
Second angle = 28 degrees
Third angle = 96 degrees
Total = 180 degrees.</span>
Answer:
no, because 90 kph would be 55.9234 mph so that would not be speeding.
Step-by-step explanation:
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Answer:
y= -2x+ 5
Step-by-step explanation:
plug in y=mx+b
Perimeter (P) = 2L + 2w
64 = 2L + 2w
64 - 2L = 2w
32 - L = w
Area (A) = L x w
= L x (32 - L)
= 32L - L²
To find maximum area, calculate the derivative and set it equal to zero.
A' = 32 - 2L
0 = 32 - 2L
2L = 32
L = 16
Substitute L to solve for y: 32 - L = w → 32 - 16 = w → 16 = w
The maximum area will be 16 ft x 16 ft = 256 ft²
The formula for a z-score is
We don't have μ, the mean, or σ, the standard deviation. We can, however, set up a system of two equations with the information we do have. We know:
We can make this look more like a "typical" system of equations by cancelling the fractional part of each equation. We do this by multiplying the bottom of each equation by σ:
Now we'll get the variables on the same side of the equation. We'll do this by adding μ to both sides:
Now we'll write this vertically:
We will "eliminate" μ by subtracting the bottom equation:
Divide both sides by -5:
Our standard deviation is 5. Substituting this into our top equation we have:
-3(5)+μ=60
-15+μ=60
Cancel the -15 by adding it to both sides:
-15+μ+15=60+15
μ=75
Our mean is 75.