Answer:
Step-by-step explanation:
Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...
0.14x + 0.06(x -900) = 221
0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify
x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%
(x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%
Peter invested $475 in the 6% account and $1375 in the 14% account.
Answer:
117
Step-by-step explanation:
Sum of all the angles of a triangle is 180
Let the third angle be 'x'
41 + 22 + x = 180
63 + x = 180
x = 180 - 63
x = 117
Answer:
The answer I got was 0.003
The bill after applying the coupon = 31.84*(85%) = 27.064
so each of them will pay : 27.064/3 = $9.021
Answer:

And using the cumulative distribution function we got:

The probability that preparation is within 2 minutes of the mean time is 0.134
Step-by-step explanation:
For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

The cumulative distribution function is given by:

The expected value is given by:

And we want to find the following probability:

And we can find this probability on this way:

And using the cumulative distribution function we got:

The probability that preparation is within 2 minutes of the mean time is 0.134