Answer:
42
Step-by-step explanation:
168 factors into
2•2•2•3•7
two of the 2's make a perfect square
(2•2)•2•3•7
2²•2•3•7
as none of the product of the remaining factors makes a perfect square
2•3 = 6, 2•7 = 14, 3•7 = 21
we need to multiply the remaining factors together to find another perfect square
2²•(2•3•7)²
2•3•7 = 42
42(168) = 7056 = 84²
Answer:
a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.
Step-by-step explanation:
To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.
Answer:
x = 4
Step-by-step explanation:
In
Hence, by basic proportionality theorem:

Answer: The monthly payments for a $5,000 loan would $146.51.
Step-by-step explanation: How it looks in the TVM Solver formula:
N = 36 ( 3 (years) x 12 (monthly payments) )
I% = 3.5%
PV = $5,000
PMT = 146.51 (or 146.08 if you choose BEGIN)
FV = 0
P/Y = 12 (months)
C/Y = (12 (months)
PMT: <u>END</u> | BEGIN
I think you have to estimate to a whole so 2 1/2 would be 3