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nika2105 [10]
1 year ago
10

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide

s to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Mathematics
1 answer:
statuscvo [17]1 year ago
7 0

The formula can be used to determine how many students are required to earn $1,500 in profit.t:

5.n - 100 - 200 = 1500.

<h3>What is linear equation?</h3>

An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.

Ax + By = C is the standard form of a two-variable linear equation. This equation contains the variables x and y, the coefficients Both a B, as well as the constant C.

<h3>According to the given data:</h3>

Given that the no. of students is n.

DJ charge - $200 Decorations cost - $100

Charge each student should pay - $5.00

Therefore the equation that find the no. of students to make a profit of $1,500.5.n - 100 - 200 = 1500

To learn more about linear equation visit:

brainly.com/question/2030026

#SPJ9

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Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

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Then the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016

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