Step-by-step explanation:
Total books = 368.
Sociology books = 92.
Psychology books = 3 times sociology books
= 3 x 92 = 276
Total = 276 + 92 = 368
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
V=l*w*h
V= 15*8*3
V= 120*3
V= 360
The pool will hold 360 cubic meters.
Answer: Solve for X
4x−5y<1
Step-by-step explanation:
step 1 add 5y to each side
4x−5y+5y<1+5y
4x<5y+1
Step 2: Divide both sides by 4.
4x4<5y+14
x<54y+14
Answer:
x<54y+14
Let's solve for x.
12y−x<3
Step 1: Add (-1)/2y to both sides.
−x+12y+−12y<3+−12y
−x<−12y+3
Step 2: Divide both sides by -1.
−x−1<−12y+3−1
x>12y−3
Answer:
x>12y−3
now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.
