A simple random sample<span> is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. An example of a simple </span>random sample<span> would be the names of 25 employees being chosen out of a hat from a company of 250 employees.</span>
Answer:
4a + 2b/3
Step-by-step explanation:
focus on 8b/12 first:
factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3
then, go back to 4a:
4a is in its simplest form, it can't be factor
therefore, plus 4a and 2b/3 = 4a + 2b/3
Answer:
I believe the area is: 42x - 49
Step-by-step explanation:
You multiply 7 times (6x-7).
7 times 6x is 42x.
And 7 times -7 is -49.
Hope this helps!
Relative extrema occur where the derivative is zero (at least for your polynomial function).
So taking the derivative we get
<span>20<span>x3</span>−3<span>x2</span>+6=0
</span><span>
This is a 3rd degree equation, now if we are working with complex numbers this equation is guaranteed to have 3 solutions by the fundamental theorem of algebra. But the number of real roots are 1 which can be found out by using Descartes' rule of signs. So the maximum number of relative extrema are 1.</span>
Answer:
21 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
The speed downstream is b+7 if the boat's speed is b. The speed upstream is b-7, and the times in each direction are equal. This means ...
20/(b+7) = 10/(b-7) . . . . . . time in each direction are the same
20(b-7) = 10(b+7) . . . . . . . cross multiply
(20-10)b = 7(10+20) . . . . . add 7(20)-10b
b = 7(20 +10)/(20 -10) = 21 . . . . mph
The speed of the boat in still water is 21 mph.