Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
Answer:
it is y = 2x + 3
Step-by-step explanation:
i just took the test
Answer:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Step-by-step explanation:
We are given the following in the question:
P(Disco Fever) = P( Disease) =
Thus, we can write:
P(No Disease) =
P(Test Positive given the presence of the disease) = 0.99
P( false-positive) = 4%
We have to evaluate the probability that the test result comes back negative if the disease is present, that is
P(test result comes back negative if the disease is present)
By Bayes's theorem, we can write:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Tom:
Previous balance: 2,452.64
payment: 160
new transaction: 138
APR: 15.6%
We need to divide APR by 12 to get the monthly rate: 15.6% / 12 = 1.3%
2,452.64 - 160 = 2,292.64
2,292.64 * 1.3% = 29.80 interest for the month. We did not include 138 because it still is within the 1 month period and it is not subject to interest. Only the revolving amount of 2,292.64 has interest.
2,292.64 + 29.80 + 138 = 2,460.44 NEW BALANCE OF TOM
Marco:
Unpaid credit card balance: 4,332.75
APR: 18.6%
New transaction: 432
Divide APR by 12 to get the monthly rate: 18.6% / 12 = 1.55%
4,332.75 * 1.55% = 67.16
4,332.75 + 67.16 + 432 = 4,831.91 NEW BALANCE OF MARCO
