Answer:
32 days.
Step-by-step explanation:
56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.
Answer:
ab= 11 and bc = 8
Step-by-step explanation:
Answer:
7a - 42
Step-by-step explanation:
1st step is to distribute.
7(a-6)
multiply 7 to "a" and -6
7a - 42
Answer:
$8000
Step-by-step explanation:
We have to x the amount invested in funds they earned, that is 11%.
Therefore, the amount invested in stocks that suffered a 3% loss is 12000 - x.
The return on investment in funds is: 0.11 * x
The loss on the stock investment is: 0.03 * (12000 - x).
The net profit is:
0.11 * x - 0.03 * (12000 - x).
Since the net profit given in the problem is $ 760, we have:
0.11 * x - 0.03 * (12000 - x) = 760
We solve for x, we have:
0.11 * x - 0.03 * (12000 - x) = 760
0.11 * x - 360 + 0.3 * x = 760
0.14 * x = 760 + 360
x = 1120 / 0.14
x = 8000
So,
the amount invested in funds that earned 11% is 8000.
the amount invested in stocks that suffered a 3% loss is 12000 - x = 12000 - 8000 = 4000.
Answer:
37.5 minutes
Step-by-step explanation:
Let the amount of time it takes a student to complete a statistics quiz be = t
t is uniformly distributed between 30 minutes and 60 minutes
The professor wants to reward with bonus marks, students who are in the lowest quarter of t
<em>- What value of t should he use as the cutoff for awarding bonus marks?</em>
<em></em>
A quarter of any number is 1/4 of it.
Now, the range of t (the difference between the highest and lowest values of t) is 60 - 30 = 30
1/4 of 30 = 7.5
The lowest quarter of t is hence between 30 and 37.5
So the cutoff for awarding bonus marks is t = 37.5minutes
INTERPRETATION:
Any student who spends 37.5 minutes or below on a statistics quiz, will be awarded bonus marks.