Answer:
How to do the estimation
Step-by-step explanation:
He can use the probability of how many people chose English and multiply by 9.7 since there are 970 people / 100 people who asked = 9.7
3.24 + 5.70 + 6.17 = 15.11
20.00 - 15.11 = 5.11
He got 5.11$ of change back.
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Probability that they were left handed P(L)= 40%
Probability that they were Democrats P(D)= 47%
So, P(L∩D) = 135 = 0.13
Now, to check whether they are independent or not.
We will find P(L) × P(D) is given by

Since P(L) . P(D) ≠ P(L∩D)
So, they are not independent.
Hence, Option 'c' is correct.
F(x) = 2x and G(x) = x^2 + 2
(G - F)(x) just means we subtract the functions from each other.
x^2 + 2 - 2x
Let's rearrange the expression
x^2 - 2x + 2
Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.