Answer:
x-4 and x+8
Step-by-step explanation:
Factoring a quadratic equation of the form x^2+bx+c:
Divide b into two numbers p and q, so that p+q = b and p*q = c
8 + (-4) = 4 = b
8 * (-4) = -32 = c
x^2+8x-4x-32
Factor by grouping
(x^2+8x)+ (-4x-32) =
x*(x+8) + -4* (x+8) = (x-4)(x+8)
9/10n + 6 = 51
9/10n = 51 - 6
9/10n = 45
n = 45 * 10/9
n = 450/9
n = 50
==> 128 is 100% of 128 .
==> 128 is 200% of 64 .
==> 128 is 50% of 256.
==> 128 is 10% of 1,280 .
Now, what number is it 74% of ?
Here's how to find it:
Call the mystery number ' M ' .
The question says that 128 is 74% of ' M ' .
You know that 74% means 0.74 .
And you know that in math, "of" usually means "times".
So you can write the question as
128 = 0.74 times M
128 = 0.74 M
Divide each side by 0.74 : 128 / 0.74 = M
172.973 = M
There's the mystery number. 128 is (about) 74% of 172.973 .
Answer:
34.4
Step-by-step explanation:
10% is the same thing as 0.1 so 344 times 0.1 is 34.4
A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)
So 10% is actually 10 times % which is:
If you get a calculator and calculate 1/10 the calculator should give 0.1
You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100
now you know 10% is 0.1 the next thing to do is multiply it to 344.
Use conditional probability:
For part 1)
A = Has cancer
B = Test indicates cancer
We know that P(A) = 0.02 and the test has 0.99 success rate.
The test will be positive for 99% of those with cancer and 1% of those without.
P(B) = (.02)(.99) + (.98)(.01)
P(AB) is only for those who both have cancer and test positive, (.02)(.99)
Part 2 is similar except B is now Test is negative.
The is true for 1% for those with cancer, 99% for those without.
P(B) = (.02)(.01)+(.98)(.99)
P(AB) is if you both have cancer and test negative, (.02)(.01)