Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
Answer:
0.0082 = 0.82% probability that he will pass
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
.
If the student makes knowledgeable guesses, what is the probability that he will pass?
He needs to guess at least 9 answers correctly. So
0.0082 = 0.82% probability that he will pass
D. F(x)=x^2. That’s The quadratic parent function
<h3>
Answer: 20% increase</h3>
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Explanation:
A = old value = 110
B = new value = 132
C = percent change
C = 100*(B-A)/A
C = 100*(132-110)/110
C = 20%
The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.
The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%
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Checking the answer:
20% of 110 = 0.20*110 = 22
She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.
The answer is 7 cups of water are needed for 21 cups of flour.
Shown work:
1 cup of water=3 cups of flours
? Cup of water=21 cups of flours
21 divided 3=7
1 multiply by 7= 7 cups of water needed
