Answer:
19.92
Step-by-step explanation:
To overfill 5% of the time ;
The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645
Using this Zscore value with the Zscore formula :
Zscore = (x - μ) / σ
σ = 0.05 ; x = 20 ounce
Substituting into the Zscore formula :
1.645 = (20 - μ) / 0.05
1.645*0.05 = 20 - μ
0.08225 = 20 - μ
μ = 20 - 0.08225
μ = 19.91775
μ = 19.92
Answer:
12
Step-by-step explanation:
There are 4 circles, 6 stars. The ratio is 4/6 = 2/3
if there is 8 circles in order to get the same ratio 8/x = 2/3 => x = 12
Answer:

Step-by-step explanation:
Begin with substuting the x variable with -2, we do this because the question has listed the value of x already.
Using the value of x, -2 we determine g(x).
g(x) = -2^2 + 2
Above is what the equation would look as, after you input the value of -2.
Using pemdas, (parantheses, exponents, multiplication, division, addition, subtraction) solve the equation.
-2^2 = 4
Think of it as -2 * -2, which is why -2^2 is 4.
Add 4 +2.
4 + 2 = 6.
Therefore, the value of g(x) = 6
You can factor this by grouping! We will need to group the trinomial into the expression (k^2 + k)(-2f^2 + f). Now factor from THOSE. k(k + 1)f(-2f + 1).
Answer:
lunar model
there really isnt anything to explain