Answer:
The mean and the standard deviation of the sampling distribution of the number of students who preferred to get out early are 0.533 and 0.82
Step-by-step explanation:
According to the given data we have the following:
Total sample of students= 150
80 students preferred to get out 10 minutes early
Therefore, the mean of the sampling distribution of the number of students who preferred to get out early is = 80/150 = 0.533
Therefore, standard deviation of the sampling distribution of the number of students who preferred to get out early= phat - p0/sqrt(p0(1-p)/)
= 0.533-0.5/sqrt(0.5*0.5/15))
= 0.816 = 0.82
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
Answer:
Let width = w
length = 4w/3
Area = 432 = length*width = w*4w/3
4w^2/3 = 432
w^2 = 432*3/4 = 324
w = 18
so the width of the cake pan is 18 inches.