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.
Rewrite the second equation in same form as the first So we have
c + 4d = 8
c - 4d = -6 Now add:-
2c + 0 = 2
2c = 2
c = 1
Now substitute c = 1 in the first equation:-
1 + 4d = 8
4d = 7
d = 7/4 = 1 3/4
Answer c = 1 and d = 1 3/4 Answer
Answer:
a) For this case we can use the fact that 
And for this case since we ar einterested on
and we know that the if we are below the y axis the sine would be negative then:

b) From definition we can use the fact that
and we got this:

We can use the notabl angle
and we know that :

Then we know that
correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that 
And for this case since we ar einterested on
and we know that the if we are below the y axis the sine would be negative then:

Part b
From definition we can use the fact that
and we got this:

We can use the notabl angle
and we know that :

Then we know that
correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

Answer:
The interest charged is $7.49.
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600.
The interest rate is 0.04305% per day.
The simple interest rate formula is given by:

Where <em>I</em> is the interest, <em>P</em> is the initial amount, <em>r</em> is the rate, and <em>t</em> is the time (in this case in days).
Our initial amount <em>P</em> is $600.
Our interest rate <em>r</em> is 0.04305% or (moving the decimal two places to the left) 0.0004305.
Since Travis repaid the loan after 29 days, our <em>t</em> is 29.
Hence, our interest is:

So, the interest charged is about $7.49.
So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49
Answer:
<h2><em><u>
The volume is 2.</u></em></h2>
This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.
5/3 * 3/2 * 4/5
= 5*3*4 = 15*4 = 60
= 3*2*5 = 6*5 = 30
<h2><em><u>
= 60/30</u></em></h2><h2><em><u>
= 2</u></em></h2>