Answer:
Amplitude = 4
Step-by-step explanation:
The general form of a sine curve would be
where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.
Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.
<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.
1.25 /5
12/5 = 2 with 2 left over
25/5 = 5
2 numbers
1.25 /5 = .25
Each person gets .25 of a pizza
Answer:
108.50
Step-by-step explanation:
First find the wages
11* 6 = 66 dollars
Then figure the commission
10% of 425
.10 * 425
42.5
Add the two amounts together
42.5+66
108.50
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.
Your guesses are correct.