Answer:
They would be normally distributed.
Step-by-step explanation:
Because there are more than 30 samples, the distribution would closely resemble the normal distribution.
40 ticketholders are winning the contest. 40 ≥ 30. This is enough to make the distribution approximately normal.
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer:
One possible answer is:
f(x) = (2/x) + 3 and g(x) = x².
Step-by-step explanation:
Explanation:
We are to write this equation as y = f(g(x)). This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.
If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x². To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.
Answer:
There is no question
Step-by-step explanation:
Answer:
the length of the ramp is 25 meters
Step-by-step explanation:
Joe is making a ramp. Ramp forms a right angle triangle with the base
So we use Pythagorean theorem to find the length of the ramp
AC^2(hypotenuse) = AB^2 + BC^2
Length of ramp is the hypotenuse = 
=
= 
= 
= 25
so the length of the ramp is 25 meters
