Answer:
Yes
Yes
No
Step-by-step explanation:
9-12-15 is just a dilation of a 3-4-5, which is right.
6-8-10 is also a dilation of 3-4-5.
However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
The answer is C
all of them plugged in as x work