Answer:

Step-by-step explanation:
From the question we are told that:
Sample mean 1 
Sample mean 1 
Sample standard deviation 1 
Sample standard deviation 1 
Generally the equation for Point estimate is mathematically given by



let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Answer:
b
Step-by-step explanation:
B
9514 1404 393
Answer:
x ≤ -20 or 5 ≤ x
see attached for a graph
Step-by-step explanation:
You have done most of the work of solving the inequalities. The steps are ...
- add the opposite of the constant on the side with the variable
- multiply by the inverse of the coefficient of the variable.
x/5 -x ≤ -6
x/5 ≤ -4 . . . . . add 2
x ≤ -20 . . . . . multiply by 5
__
8x +1 ≥ 41
8x ≥ 40 . . . . . add -1
x ≥ 5 . . . . . . . multiply by 1/8
So, the two inequalities you want to graph are ...
x ≤ -20 or 5 ≤ x
The values x = -20 and x = 5 are part of the solution set, so there would be solid dots at those points. The shading of the number line will extend outward from those points.
Answer:
Answer is 1.6
Step-by-step explanation:
I hope it's helpful!