Answer:
And we can find this probability using the normal standard distribution or excel and we got:
Step-by-step explanation:
For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places.
"
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution or excel and we got:
A dilation is a transformation

, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of

, the scale factor,

is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are half the distances
from O to the original figure. Also the size of the image is half the
size of the original figure.
Therefore, <span>If

is a dilation of △ABC, the truth about the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.

The distance from A' to the origin is half the distance from A to the origin.</span>
2/4 of orange paint, he took 1/4 off red so he has to take 1/4 off yellow as well
Answer:
no
Step-by-step explanation:
in a 7 day week, he would need $24.50
Answer:
A. Constant of proportionality : Yes
B. Origin : No.
C. Inverse : No.
D. Rise per run : Yes
E. Unit rate : Yes.
Step-by-step explanation:
We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.
A. Constant of proportionality: Yes
B. Origin: No.
C. Inverse: No.
D. Rise per run: Yes
E. Unit rate: Yes.
The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)