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3 years ago

Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,

Mathematics

1 answer:

Molodets [167]3 years ago

3 0

Complete question :

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.

Answer:

Dependent variable = Total cost

Independent variable = number of students

Step-by-step explanation:

The total cost equation is :

Total cost, c = cost per ticket * number of tickets

c = 7 * s

c = 7s

The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c

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Step-by-step explanation:

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3 years ago

18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc

Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

$CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}$

where, $\overline{x}$ is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

$CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}$

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3 years ago

the credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes. Th

Advocard [28]

Answer:

he credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

Write the equation using the point/slope formula: y - y1 = m(x - x1)

y - 22.80 = -.16(x - 45)

y - 22.80 = -.16x + 7.2

y = -.16x + 7.2 + 22.80

y = -.16x + 30

;

Use this equation to find the credit (y) when minutes (x) = 73

y = -.16(73) + 30

y = -11.68 + 30

y = $18.32; credit after 73 minute of calls

That you can also see the original value of the phone card: x=0, y = $30

;

Did this help you understand what's going on here? Any questions

Step-by-step explanation:

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3 years ago