Answer:B
Step-by-step explanation: the answer is B
Answer:
The length = 56 feet and the width = 17 feet.
Step-by-step explanation:
We can set up 2 equations to solve this. Let the length of the rug be x, then
x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)
The perimeter = 2x + 2w = 146 so we have the 2 equations:
x = 3w + 5
2x + 2w = 146
Now we substitute for x in the second equation:
2(3w + 5) + 2w = 146
6w + 10 + 2w = 146
8w = 136
w = 17 feet,
and x = 3(17) + 5 = 56 feet.
The total is 275 because 100% divided by 20% is 5 and if 20%= 55 then that means that 55 goes into 100% 5 times so you multiply 55 by 5 to get 275. Hope I helped! Please rate me as the brainliest!
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
