Answer:
Step-by-step explanation:
Hello!
The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.
You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:
P(X≤x₀)= 0.20
To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:
P(Z≤z₀)=0.20
z₀= -0.842
z₀= (x₀-μ)/σ
z₀*σ= (x₀-μ)
x₀= (z₀*σ)+μ
x₀= (-0.842*1.5)+65
x₀= 63.737 inches
I hope it helps!
Answer:
-> See attached
115.893 meters²
Step-by-step explanation:
See attached for my sketch.
Area for a rectangle is A = L * W:
9.78 meters * 11.85 meters = 115.893 meters²
Answer:
16,000
Step-by-step explanation:
to round to the nearest thousand you must look at the thousands place and then look to the number next to it
if the number is 0 1 2 3 or 4 the thousands place stays the same
if the number is 5 6 7 8 or 9 the thousands place goes up one
in this case it is 0
so it stays the same
16,000 is your answer
Answer: base times height divided by two
Answer:
Reflects it about x-axis and down 3 units
Step-by-step explanation:
y = f(x) + C C < 0 moves it down
This is moved down 3 units
y = −f(x) Reflects it about x-axis
