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 
Let the number be x. "Three times a number increased by 10" is mathematically translated as
3x + 10
"is equal" is mathematically translated as twenty less than six times the number" is mathematically translated as
6x - 20
The whole sentence "Three times a number increased by ten is equal to twenty less than six times the number" is translated as
3x + 10 = 6x - 20
We now solve the above linear equation to find the number x
3x - 6x = - 20 - 10
- 3x = - 30
x = 10
Check answer
Three times a number increased by ten : 3 × 10 + 10 = 40
Twenty less than six times the number : 6 × 10 - 20 = 40
Answer:
C
Step-by-step explanation:
The domain is the set of x-values used by the graph.
V1=30km/hr
v2=20km/hr
v=2v1v2/(v1+v2)
=2*30*20/(30+20)
=24km/hr
