The answer would be letter A.
Answer:
Step-by-step explanation:
1.
sum > 8 or 9,10,11,12
events sum >8 are 36,45,54,63,46,55,64,56,65,66
no. of events=10
p=10/36=5/18
2.
P=291/2237
3.
4.
a.
P=5/246
b.
p=208/246=104/123
5.
yes no total
student 56 42 98
teacher 3 7 10
total 59 49 108
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
I guess the question is incomplete...
Remark
The key to this is the point (1,-3) That point must be found first. C is incorrect because you are using 3 not - 3 which does not change (as C has changed it) through out the problem.
A is using (-1,-3) which makes it wrong. Also the equation is y = -abs(x-1) - 3 which is also a mistake. The given graph points upwards not downwards.
D has it's min point at (-1,-3) which is not correct.
You are left with b which opens upwards (correct) has it's min at (1,-3) [also correct] so the answer is
Answer: B
