<u>Answer:
</u>
f(x) = 3(x+2)(x-2)
<u>Step-by-step explanation:
</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term
is in the form
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean (
) = 64 and a standard deviation (
) = 
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14,
and 
Therefore: 
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore: 
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967
Answer:
I hate to break it, but you ain't giving any information or numbers
Answer:
The rope is worth 13.
The shoe is worth 5.
The clock is worth 3.
Step-by-step explanation:
We know that the weights are 8 so we will use 8 for the weights.
Let s = show
Let r = rope
Let c = clock
We have three unknowns so we need three equations.
8 + s = r c + s = 8 s= c +2
There are a number of ways that we can approach this. Let's substitute
c + 2 for s in the first 2 equations.
8 + s = r
8 + c + 2 = r
10 + c = r
c + s = 8
c + c + 2 = 8
2c + 2 = 8
2c = 6
c = 3 we found the value of the clock.
Now, let's substitute 3 in for 3 in the bold equation above.
10 + c = r
10 + 3 = r
13 = r we found the value of the rope.
We can use any of the equations to find the shoe.
s= c + 2
s = 3 + 2
s = 5
This is tricky. It takes a lot of practice. Don't give up!