Answer:

Now we are supposed to find probabilities that the response time is between 5 and 10 minutes i.e P(5<x<10)
Formula : 
at x = 5


at x = 10


P(-2<z<0.6315)=P(z<0.6315)-P(z<-2)
Refer the z table
P(-2<z<10)=0.7357-0.0228=0.7129
So, the probability that response time is between 5 and 10 minutes is 0.7129
b)the response time is less than 5 minutes
at x = 5


P(x<5)=P(z<-2)=0.0228
So, the probability that the response time is less than 5 minutes is 0.0228
c)the response time is more than 10 minutes
at x = 10


P(x>10) = 1-P(x<10) = 1-P(z<0.63) = 1-0.7357 = 0.2643
So, The probability that the response time is more than 10 minutes is 0.2643
The first thing you should do in this case is to know how much paper you need to print for the 17 copies.
We have then:
(17) * (130) = 2210
Then, you must calculate the number of reams you need:
n = (2210) / (500) = 4.42
You need 4 full reams and 42% of a fifth ream. So, the cost will be
C = (4.42) * (3.44) = 15.2048 $
The unit cost of each paper is:
Cu = (15.2048) / (2210) = 0.00688 $
answer
the paper is going to cost 0.00688 $ for those reports
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:

Where r = radius
Thus the area of the circular region

The area of the square is given by the formula:

Thus the area of the given square

The probability of an event is given by the formula:

The probability that the dart land will be in the shaded region

Thus probability

Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
The set is not closed
Example:
-4 * -3 = 12 this is not a negative integer
Answer:
Step-by-step explanation:
<u>Total number of integers from 300 through 780, inclusive:</u>
<u>Number of integers with at least one of digit 1:</u>
- Hundreds - 0,
- Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
- Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
- So in total 50 + 43 = 93
<u>The probability is:</u>
- P = favorable outcomes/total outcomes = 93/481