1st perinthesis: 3/4 - 1/4 = 2/4 = 1/2
15/24 - 10/24 =5/24
5/24(1/2) = 5/48
5/48 + 32/48 = 37/48
so the answer is 37/48
Answer:
Step-by-step explanation:
Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.
So, there are 1851 bullets but each time we choose 2.
We have, N choose K = N! / K! (N-k)!
Here, N = 1851 and K = 2
Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!
= 1851! / 2! * 1849!
= 1712175 Possible Combinations
Out of these 653 are false positive.
The chance of getting false positive is = 658 / 1712175
= 0.000384
= 0.0384 %
Therefore, The correct option is
The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.
Let
be the cost, respectively, of a notebook and a pen. If you buy 2 notebooks and 3 pens (which we know is a cost of $14.50), you spend 
Similarly, if you buy 1 notebook and 2 pens (which we know is a cost of $7.50), you spend 
These two equations form the following system:

Multiply the second equation by 2:

Subtract the first equation from the second:

So, a pen costs 0.5 dollars. Plug this equation in the second equation:

Answer:
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Step-by-step explanation:
Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = 
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = 
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = 
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.