Answer:
<u>4</u>
Step-by-step explanation:
Prime factorizing all terms :
The highest common factor (HCF) shared by the 3 numbers is :
<u></u>
Hence, HCF (12, 8, 32) = <u>4</u>
Answer:
The mean is usual
Step-by-step explanation:
We have that the mean (m) is equal to 21, the standard deviation (sd) = 1.31 and the sample size (n) = 64
They ask us for P (x <20.5)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (20.5 - 21) / (1.31 / (64 ^ 1/2))
z = -3.05
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-3.05) = 0.0002
The mean is usual because P (x> 20.5) = 1 - P (x <20.5) = 1 - 0.0002 = 0.9998 is a fairly high probability.
Answer:
g(f(x)) = x
Step-by-step explanation:
You are given f(x) = -4x - 1 and g(x) = 
. Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.
You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).
It will look like: g(-4x - 1) =
Now evaluate the expression to solve the problem. Start by combining like terms.
You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with:
Answer:8. h(t) = -6 ((t-6) -3.7)^2 + 82.14 +20
9.b) At about 7.4 seconds.
Step-by-step explanation
Yes, on #7 the function is located 3 places to the right and 2.5 up, but that's just counting the tiny squares. If you look at the number and problem, on #8, you can't add +2.5, because the rocket wasn't on a platform 2.5 feet high. Remember that outside the parentheses + means up and - means down. So add + 20(ft). but for question 8, and 9. b), try these answers. please mark brainlest
Answer:1700
Step-by-step explanation:
