Answer:
0.6421
Step-by-step explanation:
In this case we have 3 trials and we have 2 options for each one. The driver has or hasn't been under alcohol influence. The probability that the driver has is 0.29 and the probabiility that the driver hasn't is 1 - 0.29 = 0.71
each trial is independent because we are assuming that the population of drivers in between 21 and 25 years old is very big.
The probability that one of them was under alcohol influence can be found by finding the probability that non of them was under alcohol influence because:
1 = p(x = 0) + p(x ≥ 1)
p(x ≥ 1) = 1 - p(0)
The probability that none of them was under alcohol influence is going to be:
0.71×0.71×0.71 = 0.3579
The probability of finding at least one driver that has been under alcohol influence is:
0.6421
Answer:
(a) 
(b) 100
Step-by-step explanation:
Solving (a):
Given
Shape: Rectangle
Required
Calculate the perimeter.
Area is calculated as:
Where
and 
Substitute 64.8 for Area
Make L the subject:
Perimeter is calculated as:
Substitute 64.8/W for L
To solve further, we take the derivative of P and set it to 0, afterwards.
Set to 0
Collect Like Terms
Cross Multiply:
Divide through by 2
Take square roots
Recall that:
So:
The perimeter is:
Solving (b):
Given
((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)
Required
Solve
So, the expression becomes:
((1 Group of 
) and (1 group of 
))/(6 groups of 
)
This gives:
((1 Group of 
) and (1 group of 
))/(6 groups of 
)
Group means product, so the expression becomes:
And, as used here means addition
Simplify:
Answer:66
Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66
9 is the greatest common divisor
Answer:
There are 35 students in his class.
Step-by-step explanation:
1. Create a proportion: 60/100=21/x
2. Cross multiply, or not (I prefer to cross multiply). 60x=2100
3. Solve the equation: x=35.
Answer: There are 35 students in his class, 14 people going in school, 21 student online.
