Okay. You have 15 lbs of concrete, and x bags that can individually hold 2.5 lbs. What you need to do is divide 15 by 2.5, and the quotient will be 6.
Problem: 15 ÷ 2.5 = 6
So the answer to your problem will be: 6 bags.
Answer:
g(x) = log( x + 1 ) + 4
Step-by-step explanation:
f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.
Answer:
x = 8/3
Step-by-step explanation:
3x + 16 = 24
3x = 24 - 16 (subtract 16 from both sides)
3x = 8
x = 8/3 (divide both sides by 3)
Answer:
A
Step-by-step explanation:
We are given two functions:

And we want to find:

Thus:

We can factor the denominator of the first term:

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

Multiply:

Combine:

Simplify:

We can expand the denominator:

Therefore, our answer is A.
Answer:
c. an observed difference is 0.12 and P < 0.0001
Step-by-step explanation:
Let p1 be the proportion of the students who received musical instruction received a passing grade
Let p2 be the proportion of the students who didn't receive musical instruction received a passing grade
Null and Alternative hypotheses are:
: p1-p2=0
: p1-p2≠0
Test statistic can be found using the equation:
where
- p1 is the sample proportion of the students who received musical instruction received a passing grade (
)
- p2 is the sample proportion of the students who didn't receive musical instruction received a passing grade (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the students who received musical instruction (3239)
- n2 is the sample size of the students who didn't receive musical instruction (2787)
Thus,
≈ 11.84 gives p-value < 0.0001
Observed difference is: 0.87-0.75=0.12