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.
The answers would be (0,10) , (20,0) , and (100,100)
Answer: 1773.6 yards 5320.8 feet 64324.8 inches
Step-by-step explanation:
1 mile in yards = 1760 40.8 feet in yards = 13.6 1760 + 13.6 =<u> 1773.6 yards </u>
1 mile in feet = 5280 + 40.8 = <u> 5320.8 feet </u>
1 mile in inches = 63360
40.8 feet in inches = 964.8
63360 + 964.8 = <u>64324.8 inches </u>
<u>hope this helps :) </u>
Answer:
Look at explanation.
Step-by-step explanation:
<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.
