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FrozenT [24]
3 years ago
6

A school put on a play. The play cost $1200 in expenses. The student to charge $4 dollars for tickets there will be one performa

nce of a play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
A. The domain is all real numbers from negative 1200 to positive 2000.
B. The domain is all integers from negative 1200 to positive 2000.
C. The domain is the integers from 0 to 500.
D. The domain is all real numbers from 0 to 500.
Mathematics
2 answers:
Iteru [2.4K]3 years ago
5 0
I think the answer is c im not completely sure tho

hope this helps
s2008m [1.1K]3 years ago
5 0
D. The domain is all real number from 0 to 500 since their can be half a person
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The number of chocolate chips in a popular brand of cookie is normally distributed with a mean of 22 chocolate chips per cookie
MA_775_DIABLO [31]

Answer:

The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 22, \sigma = 3.5

Middle 90%

Between the 50 - (90/2) = 5th percentile to the 50 + (90/2) = 95th percentile.

5th percentile:

X when Z has a pvalue of 0.05. So X when Z = -1.645.

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 22}{3.5}

X - 22 = -1.645*3.5

X = 16.242

95th percentile:

X when Z has a pvalue of 0.95. So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 22}{3.5}

X - 22 = 1.645*3.5

X = 27.758

The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758

3 0
3 years ago
Read 2 more answers
Help please I have no idea how to do this stuff
Dafna11 [192]
Sorry me neither if i knew i would help you
8 0
4 years ago
Write the quadratic function in the form g(x)=a (x-h)2 +kThen, give the vertex of its graph. G(x) =2x2 +20x+49Writing in the for
Snezhnost [94]

The quadratic function given to us is:

g(x)=2x^2+20x+49

We are asked to find the vertex form of the function.

The general formula for the vertex form of a quadratic equation is:

\begin{gathered} g(x)=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}

In order to write the function in its vertex form, we need to perform a couple of operations on the function.

1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Now, let us solve.

1. Add and subtract the square of the half of the coefficient of x to the function.

\begin{gathered} g(x)=2x^2+20x+49=2(x^2+10x+\frac{49}{2}) \\ \text{half of coefficient of x:} \\ \frac{10}{2}=5 \\ \text{square of the half of the coefficient of x:} \\ 5^2=25 \\  \\ \therefore g(x)=2(x^2+10x+25-25+\frac{49}{2}) \end{gathered}

2. Factor out the function with its repeated roots and re-write the equation.

\begin{gathered} g(x)=2(x^2+10x+25)-2(25+\frac{49}{2}) \\ re-\text{write the above function} \\ g(x)=2(x^2+10x+25)-1 \\ \text{Let us factorize this:} \\ g(x)=2(x+5)^2-1 \end{gathered}

Therefore, we can conclude that the Equation and vertex of the equation is:

\begin{gathered} Equation\colon g(x)=2(x+5)^2-1 \\  \\ Vertex\colon(-5,-1) \end{gathered}

5 0
2 years ago
The box is resting on the table. Choose the correct number of planes in the figure.
Elanso [62]

Answer:

Option (6)

Step-by-step explanation:

Name f the planes of the figure given,

Plane JKL or plane Z

Plane PSR

Plane PQK

Plane SRL

Plane PSM

Plane QRL

Therefore, the number of planes of the box standing vertical on a table are 6.

Option (6) will be the answer.

3 0
3 years ago
there are 91 threatened and endangered plants and animals in Texas write and solve an equation to find the number of threatened
TEA [102]
\sf 91 - 28 = threatened~and~endangered~animals\\threatened~and~endangered~animals= 63

Your answer is 63.
3 0
4 years ago
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