472 to the nearest 100 is 500
Answer:

Step-by-step explanation:
We can substitute the given values of
,
, and
to find the value of this expression.


We know that <em>two negatives make a positive. </em>This means that
will be the same this as 

Adding a negative is the same as subtracting a positive.


Hope this helped!
Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Answer:
Sample mean
Sample variance
Sample proportion
Step-by-step explanation:
3×5 is 15
.................