The owner of a movie theater needs to bring in $1400 revenue at each screening in order to stay in business. She sells adults' tickets for $8 each and children's tickets at $3 each.

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

Answer:

She will be paid $1,350

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

She sold $11,000 this month, so the payment is:

[tex]y=0.05\cdot 11,000+800[/tex]

Y=550+800=1,350

She will be paid $1,350

Answer:

1350

Step-by-step explanation:

(Note: this method is not the best to use in future problems, please refer to the other answer if you want something better to use.)

16,000-12,000=4,000

1,600-1,400=200

To find the rate of change in 1000s:

200/4 = 50

Essentially this means the rise is 50 and the run is 1000, so, just remove $50 from the payment from 2 months ago to find your answer

Answer:

The likelihood is    [tex]P(p <  \^ p) = 0.066807[/tex]

Step-by-step explanation:

From the question we are told that  

   The population proportion is p =0.55

    The sample size is  n  =  619  

   The sample proportion is  [tex]\^ p =  0.52[/tex]

Generally the mean of the sampling distribution is  [tex]\mu_{x} =  p = 0.55[/tex]

The standard deviation is  [tex]\sigma =  \sqrt{\frac{p(1- p )}{n} }[/tex]

=>    [tex]\sigma =  \sqrt{\frac{0.55(1- 0.55 )}{619} }[/tex]

=>     [tex]\sigma =  0.02[/tex]

Generally the likelihood that  the administration have obtained a sample proportion as low as or lower than it obtained from its survey is mathematically represented as

[tex]P(p <  \^ p) =  P(\frac{p- \mu}{\sigma }  < \frac{ 0.52- 0.55}{0.02 }   )[/tex]

Generally [tex]\frac{p- \mu}{\sigma }  =  Z(The \  standardized \  value  \  of  \  p)[/tex]

=>   [tex]P(p <  \^ p) =  P(Z <-1.5  )[/tex]

From the z-table the probability of (Z <-1.5  ) is  

       [tex]P(Z <-1.5  )  = 0.066807[/tex]

So

      [tex]P(p <  \^ p) = 0.066807[/tex]

Answer:

Step-by-step explanation:

A tree diagram is the right way of determining a list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.

We can found the tree diagram for selecting a person from the population in the given question in the attached image below.

b. Given that 6.5% of the population have prostate cancer. Suppose the total population is 100000. Then, we have the following table:

By applying Naive-Bayes theorem, the probability that the test is positive for a randomly chosen person from this population is expressed as:

P( positive ) = P( positive | cancer present ) P( cancer present ) + P( positive | cancer absent ) P( cancer absent )

P( positive ) = 0.21×0.065 + 0.06×(1 - 0.065)

P( positive ) = 0.01365  + 0.0561

P( positive ) = 0.06975

Thus, the probability that the test is positive for a randomly chosen person from this population is:

= 0.06975

Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex]x + 2x + x + 8 = 180[/tex]

[tex]4x + 8 = 180[/tex]

Subtract sides -8

[tex]4x + 8 - 8 = 180 - 8[/tex]

[tex]4x = 172[/tex]

Divided sides by 4

[tex] \frac{4}{4}x = \frac{172}{4} \\ [/tex]

[tex]x = 43[/tex]

So the angles are :

x = 43°

2x = 2 ( 43 ) = 86°

x + 8 = 43 + 8 = 51°

Thus the order from least to greatest ,

is : 43° , 51° , and 86°

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Given:

You are given $893 in one, five, and ten dollar bills.

There are 165 bills.

There are twice as many five dollar bills as there are ones and tens combined.

To find:

How many bills of each type are there?

Solution:

Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.

According to the question,

Number of bills : [tex]x+y+z=165[/tex]         ...(1)

Total amount : [tex]1x+5y+10z=893[/tex]         ...(2)

Condition : [tex]y=2(x+z)[/tex]     ...(3)

Equation (3) can be written as

[tex]\dfrac{y}{2}=x+z[/tex]       ...(4)

Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get

[tex]\dfrac{y}{2}+y=165[/tex]

[tex]\dfrac{3y}{2}=165[/tex]

[tex]3y=330[/tex]

[tex]y=110[/tex]

Substituting y=110 in (4), we get

[tex]x+z=\dfrac{165}{2}[/tex]

[tex]x+z=55[/tex]

[tex]x=55-z[/tex]       ...(5)

Substituting y=110 and x=55-z in (2), we get

[tex](55-z)+5(110)+10z=893[/tex]

[tex]55-z+550+10z=893[/tex]

[tex]9z+605=893[/tex]

[tex]9z=893-605[/tex]

[tex]9z=288[/tex]

Dividing both sides by 9, we get

[tex]z=32[/tex]

Substituting z=32 in (5), we get

[tex]x=55-32[/tex]

[tex]x=23[/tex]

Therefore,

One dollar bills = 23

Five dollars bills= 110

Ten dollars bills = 32

Answer:

2nd) which is 4 multiplied by 5 multiplied by 2

Answer:

you could do 27+x=30

Step-by-step explanation:

Answer:

The first and the third one are correct.

Step-by-step explanation:

Answer: 1 & 3 are proportional relationships

Answer:

The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes

Answer:

[tex] \sqrt[3]{y {}^{2} } [/tex]

The Answer is

$287732

I wish you all the best of luck

Answer:

0.8

Step-by-step explanation:

Given that:

Speed of light = 3 * 10^8 m/s

Distance of sun to Mars = 230,000,000 meters

How many seconds does it take for sunlight to reach Mars?

Using the relation :

Speed = distance / time

Hence ;

Time = Distance / Speed

Time = 2.3 * 10^8 / 3 * 10^8

Time = 0.766

Time = 0.8 ( nearest tenth)

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

Answer:

y = 2x - 6

Step-by-step explanation:

Use the slope-intercept form of the equation of a line.

y = mx + b

y = 2x + b

4 = 2(5) + b

4 = 10 + b

b = -6

y = 2x - 6

Answer:

The measure of C is 10°

Step-by-step explanation:

In a triangle CDE, its internal angles are given:

C=x-4

D=11x-11

E=x+13

Since the sum of the internal angles of a triangle is 180°:

x-4+11x-11+x+13=180

Simplifying:

13x-2=180

Adding 2:

13x=182

Solving:

x=182/13

x=14°

The measure of the angles is:

C=x-4 =10°

D=11x-11=143°

E=x+13=27°

The measure of C is 10°

Answer:

tom ate sandwiches of cucumber and also had tea

Step-by-step explanation:

The computation is shown below:

P:I = popcorn

Q:I  = raisins

R:I = cucumber sandwiches

S:I = sodas

T:I = tea

1. It could be either popcorn or raisins

2. If i take sandwiches of cucumber so it also had soda

3. Do not drink soda or tea

Now considered the negation of 1, 2 and 3

So,

[tex]\sim (PVQ) = \sim P \wedge \sim Q\\\\\sim (R \to S) = \sim(\sim R\vee S) = R \wedge \sim S\\\\ \sim(\sim S \vee \sim T) = S \wedge T[/tex]

Now combining 4, 5 and 6

We get

[tex]\sim P \wedge \sim Q \wedge R \wedge \sim S \wedge S \wedge T\\\\\sim P \wedge \sim Q \wedge R \wedge T[/tex]

So, tom ate sandwiches of cucumber and also had tea

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

Answer:

same side interior for 2 and 6 i think

Answer:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Step-by-step explanation:

From the given information:

the population mean = 444

the sample mean = 443

number of samples = 40

standard deviation = 23

The null hypotheses and he alternative hypotheses can be computed as:

Null hypothesis:

[tex]\mathbf{H_o: \mu = 444}[/tex]

Alternative hypothesis:

[tex]\mathbf{H_1: \mu < 444}[/tex]

Thus, this is left-tailed since the alternative hypothesis is less than the population mean

The test statistics can be computed as follows:

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]

Z = - 0.275

At the level of significance of 0.02;

the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]

Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.

Conclusion:

We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

hope this helps

brainliest?

5x+4y-8= 0

Step-by-step explanation:

Move the constant to the left change its sign

Answer:

Response Bias

Step-by-step explanation:

This is an example of the problem known as Response Bias. This is basically any and all reasons an individual may have for not answering a question truthfully regardless of the reason. This is a huge problem when conducting a survey since there are almost no ways to prevent this and false responses can completely contaminate the results gathered by the survey. In this scenario, the reason for lying was fear and shame which are normal emotions for individuals and is impossible to predict who will lie due because of it.

Answer:

189, 567, 1701

Step-by-step explanation:

multiply each term by 3.

Answer:

fafafsghdjdbdbdgsysvdve. wwmsk

Answer:

70,691

Step-by-step explanation:

Hasan travels

Anneliese because the

of Hasan's graph is

that of Anneliese's graph.

The

of the graph tells you the unit rate is in

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.