The two numbers are 15 and (-26).
Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, .
- Reflection over the x-axis, hence the function is multiplied by -1, that is, .
- Shift down, hence a constant b is subtracted from the graph, that is, .
You can learn more about translation concepts at brainly.com/question/21197885
Answer:
91.30% probability that they have followed the professor's study recommendation
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Student earned a C or better.
Event B: Student followed the professor's study recommendation.
70% of the students are following this recommendation.
This means that
A statistics professor has found that a student who studies 90 minutes each day has a probability of .9 of getting a grade of C or better
This means that
Probability of earning C or better.
90% of 70%(those who followed the study recommendations).
20% of 30%(those who did not follow the study recommendations. So
Find the probability that, if a student has earned a C or better, that they have followed the professor's study recommendation:
91.30% probability that they have followed the professor's study recommendation
You need to get the denominator at the same number first. The Lowest common denominator is 6. So multiple 7/3 by 2 and 5/2 by 3 to get 14/6 and 15/6. 15/6 is greater. 15/6 is 5/2, so the answer is 5/2. I hope this helps!
Answer:
Step-by-step explanation:
We are given the following in the question:
GF = 37 units
HG = 12 units
FH = 35 units
We have to find the ratio that represents sine of ∠F.
Formula:
is the required ratio of sine of ∠F.
The attached image shows the triangle.