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Novosadov [1.4K]
3 years ago
12

Two Families went to Rollercoaster World. The Brown Family paid $170 for 3 children and 2 adults. The Peckham Family paid $360 f

or 4 children and 6 adults.
If x is the price of children tickets in dollars and y is the price of an adult tickets in dollars. Write a system of equations that models this situation

Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

The system of equations are;

3x + 2y = 170

4x +6y = 360

Step-by-step explanation:

Form simultaneous equations and solve

Let x=price of children tickets

Let y=price of adult tickets

The Brown Family paid $170 for 3 children and 2 adults , this forms the equation as:

3x + 2y =$ 170

3x + 2y = 170 --------------------------equation (i)

The Peckham Family paid $360 for 4 children and 6 adults.

4x + 6y = $360

4x +6y = 360 ---------------------------equation (ii)

Solving the equations by graph will give value of x=30 and y=40

The price of children tickets was $30 and that of adults was $40

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Answer:

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Step-by-step explanation:

Information provided

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Part a

For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students

Null hypothesis:\mu_{O} \geq \mu_{C}  

Alternative hypothesis:\mu_{O} < \mu_{C}  

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Part b

For this case we need to conduct a left tailed test.

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Part d

The statistic is given by:

t=\frac{(\bar X_{O}-\bar X_{C})-\Delta}{\sqrt{\frac{s^2_{O}}{n_{O}}+\frac{s^2_{C}}{n_{C}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=60+60-2=118  

Replacing the info we got:

t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

Part e

We can calculate the p value with this probability:

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Part f

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