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:
Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.
Step-by-step explanation:
From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).
The formula to find x intercept.
The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.
Therefore the x-coordinate is -2 and second option is correct.
Answer:
7x(x−1)
Step-by-step explanation:
Answer: 64 and 81
Step-by-step explanation: I used my brain. :)
Y-0.32y if you factor you would see:
y(1-0.32)
y(0.68) so
0.68y or even 68y/100=17y/25 are equivalent....
