(8x^2-9y^2-4x)+(x^2-3y^2-7x)
First, get rid of the parentheses and combine like terms
(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)
9x^2-12y^2-11x is your answer
What does the central limit theorem tell us about the
distribution of those mean ages?
<span>A. </span>Because n>30, the sampling
dist of the mean ages can be approximated by a normal dist with a mean u and a
SD o/sqrt 54,
Whenever n<span>>30 the central limit theory applies.</span>
Answer: The correct answer is B.
Step-by-step explanation: We are given the cost of restaurant meal of M. Clark is $25.50.
and she has given 20% of the meal's cost as a tip to the waiter.
Step 1: Calculating the amount of tip paid

Total tip paid = $5.1
Step 2: To find the total amount, we add the cost of the meal and the tip paid
Total amount = Cost of the meal + Tip paid
Total amount = $25.50 + $5.10
Total amount paid by Ms. Clark = $30.6
Answer: b) rolled three times, number of 2s rolled
d) rolled twice, number of odds rolled
<u>Step-by-step explanation:</u>
A binomial experiment must meet the following criteria:
- There must be a fixed number of trials (rolls)
- Each trial (roll) is independent of the others
- There are only two outcomes (success or fail)
- The probability of each outcome remains constant from trial to trial
a) rolled twice --> satisfies #1 & #2 (n = 2)
X is the sum --> fails #3 (more than two outcomes)
b) rolled three times --> satisfies #1 & #2 (n = 3)
X is the number of 2s rolled --> satisfies #3 & #4 (P success = 1/6)
c) rolled an unknown number of times - fails #1
d) rolled twice --> satisfies #1 & #2 (n = 2)
X is the number of odds rolled --> satisfies #3 & #4 (P success = 1/2)