Answer:
The answer is 76.9 rounded or rounds.
Step-by-step explanation:
Solution
Given that:
Mean = μ = 72.5
Standard deviation = σ = 6.5
Now
By applying the standard normal table we have the following:
P(Z < z) = 75%
= P(Z < z)
= 0.75
Thus
z =0.67 by using the standard normal z table
Applying the z-score formula we have:
x = z * σ + μ
x = 0.67*6.5+72.5
x= 76.855 ≈ 76.9
Therefore the cutoff time is 76.9 rounds.
Heres what you do: Replace X with -3 and Y with 2. Your equation will look like this: 6(-3)-2. Multiply 6 and -3 to get -18. Then subtract 2 from -18. Your answer is -20
5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40
Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.
We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is.