Answer:
22 rides
Step-by-step explanation:
Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".
<u>Playland Park:</u>
Fixed Cost = 7
Variable Cost = 0.75x (in dollars)
Equation = 7 + 0.75x
<u>Funland Park:</u>
Fixed Cost = 12.50
Variable Cost = 0.50x (in dollars)
Equation = 12.50 + 0.50x
Now we equate and solve for x:
![7+0.75x=12.50 + 0.50x\\0.75x-0.50x=12.50-7\\0.25x=5.50\\x=\frac{5.50}{0.25}\\x=22](https://tex.z-dn.net/?f=7%2B0.75x%3D12.50%20%2B%200.50x%5C%5C0.75x-0.50x%3D12.50-7%5C%5C0.25x%3D5.50%5C%5Cx%3D%5Cfrac%7B5.50%7D%7B0.25%7D%5C%5Cx%3D22)
Hence,
the cost would be same for both parks for 22 rides
Answer:
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
Step-by-step explanation:
The equation for the monthly charge has the following format
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.
Base charge of $17.32 per month.
This means that ![b = 17.32](https://tex.z-dn.net/?f=b%20%3D%2017.32)
charge of 7.32 cents per kilowatt-hour
Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is ![a = 0.0732](https://tex.z-dn.net/?f=a%20%3D%200.0732)
Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
Answer:
A Open circle at 6, line going to the right
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
We know the area is greater than 24
24 < l*w
One dimension is 4
24 < 4*w
Divide each side by 4
24/4 < 4w/4
6 < w
The other dimension must be greater than 6
Open circle at 6, line going to the right
Answer:
1) Each group is composed of 10 people. They either saw results or don't saw results.
saw results no results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10
Total 22 18 40
Probability of a group seeing results:
Group A: 6/10 = 0.6
Group B: 7/10 = 0.7
Group C: 5/10 = 0.5
Group D: 4/10 = 0.4
Probability of a group not seeing results:
Group A: 4/10 = 0.4
Group B: 3/10 = 0.3
Group C: 5/10 = 0.5
Group D: 6/10 = 0.6
2) Groups A and B received the Power Pill.
What is the probability that a person saw results, given they received the power pill?
(6+7)/20 = 0.65
Groups C and D received the placebo.
What is the probability that a person saw results, given they received a placebo?
(5+4)/20 = 0.45
3) What is the probability that a person received the placebo, given they did not see results?
(5+6)/18 = 0.61
What is the probability that a person received the power pill, given that they did not see results?
(3+4)/18 = 0.39