Set f(b) = b^2 - 75 = to 0 and solve for b:
b^2 = 75
b^2 = 25(3)
b = plus or minus sqrt(25[3]) = plus or minus sqrt(25)*sqrt(3) = plus or minus 5 sqrt(3).
Given that 8 cups equals 100% of this punch, we need to figure out how many coups does 15% of sorbet make. This is how we do this:
8 (cups) : 100% (the entire amount of punch) = x (the number of sorbet cups) : 15% (the amount of sorbet used)
So:
x : 15 = 8 : 100
100x = 15 * 8
100x = 120
x = 1.2
The answer is 1.2 cups of sorbet were used in this punch.
Answer:
41.9 %
Step-by-step explanation:
when you look at the to numbers you will see that the two has a 41.9 % difference.
The correct steps are:
start with

Add 1 to both sides:

The left hand side is a perfect square:

Answer:
99% Confidence interval: (0.185,0.375)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 150
Number of cars that have faulty catalytic converters, x = 42
99% Confidence interval:
Putting the values, we get:
The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)