Teresa babysits for her neighbors. She charges $13 for the first hour and $10 for each additional hour. Write a rule for the total amount of money she charges, T, based on the number of hours she babysits, H. Angela also babysits for her neighbors. She charges $11 per hour. Which babysitter, Teresa or Angela, will charge less to babysit for 2 hours? 3 hours? 4 hours? Show evidence for your answers.

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:

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:

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:

fafafsghdjdbdbdgsysvdve. wwmsk

Answer:

The answer is 49.! :)

Step-by-step explanation:

If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

The Answer is

$287732

I wish you all the best of luck

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:

152

Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152

Answer:

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

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:

3n + 12 = 45

Step-by-step explanation:

3n + 12 = 45

3n = 45 - 12

3n = 33

n = 33

3

n = 11

Answer:

3n + 12 = 45

Step-by-step explanation:

*Process of elimination*

___________________

3n + 12 = 45

(given)

_________

3n + 12 = 45

- 12 - 12

(subtraction property of equality)

__________________________

3n = 33

÷ 3 ÷ 3

(division property of equality)

_______________________

n = 11

_____

7n - 8 = 62

(given)

________

7n - 8 = 62

+ 8 + 8

(addition property of equality)

__________________________

7n = 70

÷ 7 ÷ 7

(division property of equality)

_______________________

n = 10 ≠ 11

________

8n + 6 = 102

(given)

________

8n + 6 = 102

- 6 - 6

(subtraction property of equality)

__________________________

8n = 96

÷8 ÷8

(division property of equality)

_______________________

n = 12 ≠ 11

________

5n - 20 = 25

(given)

________

5n - 20 = 25

+ 20 + 20

(addition property of equality)

__________________________

5n = 45

÷5 ÷5

(division property of equality)

_______________________

n = 9 ≠ 11

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.....♥️♥️♥️♥️♥️

Answer:

189, 567, 1701

Step-by-step explanation:

multiply each term by 3.

5x+4y-8= 0

Step-by-step explanation:

Move the constant to the left change its sign

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:

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

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:

you could do 27+x=30

Step-by-step explanation:

Answer:

Scale factor=2

The perimeter of the enlarged figure is 19

The area of the enlarged figure is 4 times the area of the original figure

Step-by-step explanation:

Scaling

There are two figures, the red rectangle (original) and the blue rectangle (enlarged).

To find the scale factor we directly compare the height of both rectangles and note:

height of original rectangle=1.5

height of enlarged rectangle=3

Thus, the scale factor is 3/1.5 = 2

Scale factor=2

The original perimeter is calculated as:

P1=2*1.5+2*3.25=3+6.5=9.5

The perimeter of the enlarged figure is 2 times the original perimeter

P2=2*9.5=19

The perimeter of the enlarged figure is 19

To calculate the area of the enlarged figure, we use

A2=H2*W2

Where H2 and W2 are the height and width of the enlarged figure.

Since

H2=2*H1

W2=2*W1

A2=4*A1

The area of the enlarged figure is 4 times the area of the original figure

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?

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

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:

Step-by-step explanation:

in this problem we are expected to formulate the constraints

let chairs, loungers and footstools be x, y and z respectively

1. For wood we have

30x+25y+20z=1380

2 . For fabric we have

30x+15y+5z=890

. For stuffing we have

10x+10y+5z=450

therefore the three equation are

30x+25y+20z=1380

30x+15y+5z=890

10x+10y+5z=450

Answer:

6.4

Step-by-step explanation:

Hope this helps :)

Answer:

The equation is: y + -3 = 8

And y = -5

Step-by-step explanation:

Sum means addition which means the sum of a number y and -3 is the same as y + -3. So, you would add the =8's to make it an equation.

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.

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:

$ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample

Step-by-step explanation:

Here

Z∝ =1.64

Standard Deviation=S= 0.21

Sampling Error= SE= 0.05

As Sampling Error is found by

SE= z * s/√n

√n= z*s/ SE

n= (z* s/ SE)²

We use the above formula  to calculate N

N= ( Z * S/SE)²

N= (1.64 * 0.21/0.05)²

N= 28.9296= 28.93

Cost of N number of burgers

= Cost *N

= $1.29 * 28.93= $ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample