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Norma-Jean [14]
4 years ago
12

Tickets to a school dance are sold 10$ each . The student council spent a total of 400$ on set-up costs for the dance. The schoo

l's profit (p) , in dollars , from the dance depends on the number of tickets sold (t)
Mathematics
1 answer:
dmitriy555 [2]4 years ago
4 0

Answer:P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t  

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 40

hmu if you need sumin els

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zheka24 [161]

Answer:

11.5ft

Step-by-step explanation:

Use Pythagoras in reverse.

x²=14²-8²

4 0
3 years ago
A simple random sample of size nequals17 is drawn from a population that is normally distributed. The sample mean is found to be
IRINA_888 [86]

Answer:

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given random sample of size 'n' =17

Given mean of the sample 'x⁻' = 56

Given standard deviation of sample 's' = 10

95% confidence intervals about the population mean is determined by

(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )

Degrees of freedom

ν = n-1 = 17-1 =16

t₀.₀₅ = 1.7459  (from t-table)

<u><em>Step(ii):-</em></u>

95% confidence intervals about the population mean is determined by

(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )

(56 - 1.7459 \frac{10}{\sqrt{17} } ,56 + 1.7459 \frac{10}{\sqrt{17} } )

( 56 - 4.2344 , 56 + 4.2344)

<em>(51.7656 , 60.2344)</em>

<u>Conclusion:</u>-

<em>95% confidence intervals about the population mean is </em>

<em>(51.7656 , 60.2344)</em>

4 0
3 years ago
Explain why not all regular polygons will tessellate.
snow_tiger [21]

No other regular polygon can tessellate because of the angles of the corners of the polygons. In order to tessellate a plane, an integer number of faces have to be able to meet at a point. For regular polygons, that means that the angle of the corners of the polygon has to divide 360 degrees.

4 0
3 years ago
Two mechanics Worked on a car The first mechanic charge $55 per hour The second mechanic charge $80 per hour the mechanics work
Tems11 [23]

a = hours worked by the first mechanic

b = hours worked by the second mechanic.

since the first mechanic charges $55 per hour, then for "a" hours that'd be a total of 55*a or 55a, likewise, for the second mechanic that'd be a total charge of 80*b or 80b.

we know all hours combined are 15, so then a + b = 15.

we also know that all charges combined are $950, so 55a + 80b = 950.

\bf \begin{cases} a+b=15\\ \boxed{b}=15-a\\ \cline{1-1} 55a+80b=950 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{55a+80\left( \boxed{15-a} \right)=950} \\\\\\ 55a+1200-80a=950\implies -25a+1200=950\implies -25a=-250 \\\\\\ a=\cfrac{-250}{-25}\implies \blacktriangleright a = 10\blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=15-a\implies }b=15-10\implies \blacktriangleright b=5 \blacktriangleleft

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3 years ago
If a circle is inscribed in a square, which of the following must be true? Check<br> all that apply
Scrat [10]
The sides of the square will be perpendicular to the radius
8 0
4 years ago
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