Substitute 
and 
. Then the integral transforms to
Apply the power rule.
Now put the result back in terms of 
.
Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.
Here, since we want our ratio in simplest form,
I would use a fraction bar.
Now, the problem asks us to compare
the number of boys to the number of girls.
We know that there are 12 boys
and we know that there are 15 girls.
So our ratio is 12/15.
However, this can be reduced to 4/5.
Answer:
The median is 2
Step-by-step explanation:
Here, we want to get the median for the number of pencils
Firstly, we have to write out the numbers that form the box plot ; we have this as;
1,1,1,2,2,2,2,3,3,5
the median is sum of the 5th and 6th term divided by 2
The 5th term is 2
The 6th term is 2
So the median is;
(2 + 2)/2
= 4/2 = 2
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer:
The ratio of red to blue would be 60: 6 which can be simplified to 10:1.
