Answer:
80
Explanation:
The mean of the distribution of sample means always target the population mean. What this line tells is that whatever the population mean will be, the mean of the distribution of sample means will be same. Since the population mean is 80, the mean of distribution of sample means will also be 80.
However, the standard deviation of the sample distributions is different and is equal to the population standard deviation divided by square root of sample size. So in this case the standard deviation of distribution of sample means will be 6 .
Answer:
Last option: increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Step-by-step explanation:
The function given is an absolute cubic function. (Pictured below).
We can determine from the graph that the equation increases over the interval:
increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
You don’t know how many adults were there and how many students were there.
But,
$8(adults) + $5(students) = $19060
And,
Adults + Students = 2570
Let A = adults and S = students
8A + 5S = 19060
A + S = 2570
This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.
S = 19060/5 - 8A/5
S = 3812 - (8A/5)
This is the first equation rearranged to solve for S
Second:
A + S = 2570
S = 2570 - A
Now, equal each other
3812 - (8A/5) = 2570 - A
Solve for A
3812 + A = 2570 + 8A/5
19060 + 5A = 12850 + 8A
19060 - 12850 = 3A
6210 = 3A
2070 = A
There were 2070 adults
Now, plug A back into any of the 2 equations and solve for S
A + S = 2570
2070 + S = 2570
S = 2570 - 2070
S = 500
2070 adult tickets were sold
500 student tickets were sold
Answer:
You are differentiating with respect to x
with the formula X^n = nX^n-1
dy/dx= 12x2 - 24x + 14