Step-by-step explanation:
Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.
A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02
=P(|z|<1) (since 1 std dev on either side of the mean)
=2(0.3418)
=0.6826
=68.26%
The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is
=P(1<z<2) (since between 1 and 2 std dev from the mean)
=0.475-0.3418
=0.3332
=33.32%
Answer:
For any time period less than 2 hours Ian will charge less than Grayson
....
Step-by-step explanation:
We have given that:
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee
The equation we get is:
45h + 15 ≤ 35h + 35
Combine the like terms:
45h-35h ≤ 35-15
10h ≤ 20
Divide both sides by 10
10h ≤ 20/10
h ≤ 2
At 2 hours the charge is the same for both services.
For any time period less than 2 hours Ian will charge less than Grayson
....
A liter is 0.264 gallons so 13 * 0.264 = 3.432 and round it up it is 3.4
Total no. of sandwiches = 480
No. of tuna sandwiches = 3/8*480 = 180 sandwiches
No. of beef sandwiches= 35% of 480
= 35/100*480 = 168 sandwiches
Remaining no. of sandwiches = 480-(168+180) = 132 sandwiches
Let no. of ham sandwiches be 5x
Let no. of cheese sandwiches be 6x
5x + 6x = 132
11x = 132
x = 132/11 = 12
No. of cheese sandwiches = 6x = 12*6 = 72 sandwiches
No. of ham sandwiches = 5x = 5*12 = 60 sandwiches
7.397 will round to 7.40 and 7.388 will round to 7.39
