Answer:
The correct option is (a) 0.9780.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
As the sample selected is quite large, i.e. <em>n</em> = 110 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
Compute the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 as follows:
*Use a <em>z</em>-table.
Thus, the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 is approximately equal to 0.9780.
The correct option is (a).
Y=2x -7. the formula for this stuff is y= (slope)x + (y-intercept)
Answer:
1005 in^3
Step-by-step explanation:
Think of this cake as a cylindrical solid of base radius 8 in and height 5 in.
The volume is V = (base area)(height), which here is:
V = (pi)*(8 in)^2*(5 in) = 320pi in^3, or approximately 1005 in^3
75 percent = 24
25 percent = 8
100 percent = 32
Therefore there are 32 students in 6th grade
First convert 6 feet to inches.
12x6=72
Then write a proportion!
8/72=4/x
Cross multiply!
72x4=8 x x
288=8x
Divide by 8 on both sides.
x=36 inches. or 3 feet
Answer is 3 feet or 36 inches