Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
Answer:
a. The measure of angle 2 is 63 and the measure of angle 3 is 117
b. The measure of angle 4 would be approximately 30.66...
c. The measure of angle 2 would be 17
Step-by-step explanation:
a. Angles 1 and 2 are alternate interior angles which means they are equal to each other. That means that both angles 1 and 2 and 63 degrees. Angles 2 and 3 are supplementary angles which means they add up to 180 degrees.
180-63=117 degrees
b. Angles 1 and 4 are alternate exterior angles and are also equal to each other. You would set up an equation that looks like...
74=3x-18
Add 18 to both sides
92=3x
Divide by 3 on both sides
92/3 which is approximately 30.67
c. Angle 1 and 2 are alternate interior angles. You would set the two given equations equal to each other.
3x-9=x+25
Subtract x from both sides.
2x-9=25
Add 9 to both sides.
2x=34
Divide both sides by 2.
x=17
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
What does the word objectionable mean in the following sentence
