Answer:
70 m
Step-by-step explanation:
AB makes a 30-60-90 triangle with the wall.
AC makes a 45-45-90 triangle with the wall.
In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.
In a 45-45-90 triangle, the legs are the same length.
So the distance between the left wall and the laser is 60/2 = 30 m.
The distance between the right wall and the laser is 40 m.
The total distance is therefore 70 m.
Answer: Yes
Step-by-step explanation:
Given
Kwasi earned
in babysitting
He spends 40% of the money in buying drinks
Money spend is given by

So, Kwasi has enough money left to buy a skateboard.
Substitute -3 to x
(-3)^2 + 4(-3) + 1
9 - 12 + 1
= -2
Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15

From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,

0.048 is the probability that more than 950 message arrive in one minute.
Answer:
14 gallons....$42
Step-by-step explanation:
The car requires one gallon every 32 miles...
The car requires c gallons for 448 miles
c = 448 × 1 / 32
= 14 gallons..
One gallon = $3
Fourteen gallons = ??
14 × 3 / 1 = $42