Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
Answer: 96 ways
In this case, the freshman must take one class each from Science(6 courses), Humanities(4 courses) and Mathematics( 4 courses).
Then to know how many ways she can arrange you just need to multiply the each course count (it would different if she has to take more than one class).
The calculation would be: 6 x 4 x 4= 96 ways.
Answer:
x = 5, y = 20
Step-by-step explanation:
Since AB and CD are parallel, then
∠ AOC and ∠ OCD are Alternate angles and congruent, thus
12x + 8 = 68 ( subtract 8 from both sides )
12x = 60 ( divide both sides by 12 )
x = 5
-------------------------------
∠ OCD and 5y + 12 are adjacent angles and supplementary, thus
5y + 12 + 68 = 180 , that is
5y + 80 = 180 ( subtract 80 from both sides )
5y = 100 ( divide both sides by 5 )
y = 20
Answer:
0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman
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: Given to a woman.
Event B: Masters degree.
21% were master’s degrees
This means that
Women earned 40% of masters
This means that
Probability of the degree being given to a women:
52% of 76%, 40% of 21% and 22% of 3%. So
What is the probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman?
0.1729 = 17.29% probability that a randomly chosen mathematics degree was a master's degree given that it was awarded to a woman
Answer:
the last one
Step-by-step explanation:
the answer is d which it's the last one