F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1
The domain of (f/g)(x) is all real numbers except 1.
_____
The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
Answer:
A
Step-by-step explanation:
2(3) + (3) = 9
3(3) - 2(3) = 3
Answer:
Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.
a)
What is the expected value :: n*p = 100*0.8 = 80
standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16
where q is proportion of voters who do not favor Michael. (q=0.2)
and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.
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what is the probability that the number of voters in the sample who will not favor Michael will be more than 16
P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587
P(X > 16.0) = 1 - 0.1587 = 0.8413
Answer:
Nika can make 15 cups of milk.
Step-by-step explanation:
To find how many cups she can make, we divide 3 3/4 by 1/4. First, we convert 3 3/4 to an improper fraction.
3 ¾ / ¼ Equation
15/4 / ¼ Convert to improper
15/4 * 4/1 Reverse sign & second fraction
= 60/4
= 15
Also, 15 * 1/4 = 3 ¾, so its correct!
Answer:
Associative propertry of addition.
Step-by-step explanation:
The associative property of addition states that:

It states that we can add numbers regardless of the groups. The sum does not change irrespective of how the addends are grouped.
We are given the expression:

It can be written as:

It can also be written as:

Whatever maybe the arrangement of r, h and t, their sum will always be equal. We can regroup them in many ways but the sum remains the same.