Yes. 8 cups is equivalent to 64 fluid ounces. Therefore, 74 fluid ounces is greater than 8 cups.
If the transformation will result to an after-image that not is congruent to the original figure, then the transformation is most probably a dilation. Amon the choices, the answer must be
<span>a reflection across the y-axis followed by a dilation with a scale factor of 0.5
</span>
Answer:
looks pretty hard
Step-by-step explanation:
Cos(60) = cos(90 - 30) = sin(30) = 1/2
This should be what you want.
Answer:
There is a 0.82% probability that a line width is greater than 0.62 micrometer.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so
.
What is the probability that a line width is greater than 0.62 micrometer?
That is 
So



Z = 2.4 has a pvalue of 0.99180.
This means that P(X \leq 0.62) = 0.99180.
We also have that


There is a 0.82% probability that a line width is greater than 0.62 micrometer.