Answer:
Angle EDC = Angle ADC
(Reflexive property)
ABD ~ ECD because all angles are congruent
If two are congruent, third one has to be as well since total angle is 180 each
Answer:
(1, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
C(1, - 2 ) → C'(1, 2 )
Answer:
b = -1
Step-by-step explanation:
7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7.
So now the equation should be like 21b-7=2b-26.
-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.
Finally divide the two numbers (-19 / 19) and the solution will be b= -1.
If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.
Answer: 38
Step-by-step explanation:
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.
