Answer with step-by-step explanation:
Let
A=Student studies for a test
B=Student gets good grade on a test
The probability that a student studies for a test=P(A)=0.61
The probability that a student gets a good grade on a test=P(B)=0.79
The probability that both occur=
a.We have to find the events are independent
We know that if two events A and B are independent then



Hence, given events are not independent.
b.We have to find 


c. We have to find 


Answer: see below
Step-by-step explanation
Let 2 + a = 11 x
Let 35 - b = 11 y
Where x and y are any unknown integer
subtract the two equations
- 33 + a + b = 11 (x+y)
a+ b = 11 (x+ y) +33
a+ b = 11 (x+y) + 3 (11)
a+ b = 11(x+ y+3)
Which proves that a+b is a factor of 11
2 + 4 (c + 7)
2 + 4c + 28
combine liked terms
4c + 30
Answer:
B) 30 + 4c
Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.