What’s the correct answer for this question?

Whats The Correct Answer For This Question?

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

Since VA and BC are equal in length so their central angles would also be equal.

So

<VWA = <BWC

32x-27 = 120

32x = 120+27

32x = 147

Dividing both sides by 32

x ≈ 4.6

Answer 2

Answer:

4.6

Step-by-step explanation:

3x-27=120

32x=147

x=147/32

x=4.59

x≈4.6


Related Questions

what is the slope of the line that contains the points (4 -1) and (-1,4)

Answers

Answer:

-1

Step-by-step explanation:

The slope formula when given two points is

m = ( y2-y1)/(x2-x1)

    = (4 - -1)/(-1 -4)

    = (4+1)/(-5)

    = 5/-5

   =-1

Answer:

-1

Step-by-step explanation:

Use the equation for slope.

[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

Plug in the given points into the equation.

[tex]m=\frac{4-(-1) }{-1- 4 }\\m=\frac{4+1 }{-5 }\\m=\frac{5}{-5 }\\m=\frac{1}{-1 }\\m=-1[/tex]

The slope is -1.

Find the sample space for a committee of two chosen from Alice (A), Bill (B), Carol (C), and David (D).
A. {(A, B), (C, D)}
B. {A, B, C, D}
C. {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}
D. {(A, B), (A, D), (B, C), (C, D)}
Find the sample space if both sexes must be represented.
A. {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}
B. {(A, B), (C, D)}
C. {(A, B), (A, D), (B, C), (C, D)}
D. {A, B, C, D}

Answers

Answer:

(a) C.  {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}

(b) C. {(A,B),(A,D),(B,C),(C,D)}

Step-by-step explanation:

Given four members eligible for selection:

Alice (A), Bill (B), Carol (C), and David (D).

The possible combinations are:

(A,B),(A,C),(A,D),(B,A),(B,C),(B,D),(C,A),(C,B),(C,D), (D,A),(D,B), (D,C)

Part A

Since the same pairs are equal i.e. (A, B)=(B , A),

The Sample space for a committee of two is:

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

This is Option C.

Part B

If both genders must be represented, we remove the entries that contain the same gender from the sample space above.

A and C -Female

B and D - Male

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

Therefore, the sample space if both genders are to be represented is:

{(A,B),(A,D),(B,C),(C,D)}

This is Option C.

Answer:

1. A

2. C

Not 100% sure but its my best guess

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A

6

8

10

12

14

16

18

20

22

24

26

28

30

Weights of Dogs in Shelter B

Which describes the spread of the data in the two box plots?

O

The data in shelter A show more spread than the data in shelter B.

The data in shelter B show more spread than the data in shelter A

The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20

The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.

Answers

Answer:

The data in shelter A show more spread than the data in shelter B.

Step-by-step Explanation:

Judging from the data set given for shelter A and shelter B in the diagram of the box plots attached below, shelter A has a data set that ranges from 8 pounds to 30 pounds, while shelter B ranges from e can infer that the data in shelter A has more spread than the data in shelter B ranges from 10 to 28.

Taking into consideration the range of the data set of each shelter, shelter A obviously has a larger range compared to shelter B. This implies that, the data in shelter A show more spread than the data in shelter B.

Answer:

A

Step-by-step explanation:

According to the image whats the answer? 80 points brainliest

Answers

Answer:

Hey!

Your answer is 150 square meters!

Step-by-step explanation:

13*3=39 (the tilted face)

12*3=36 (the flat face)

5*3=15 (the base)

TO FIND THE TRINGLULAR AREA:

1/2 base x height...

1/2 x 5 x 12 = 30

(WE DOUBLE THIS BECAUSE THERE ARE TWO TRIANGLES)

SO 60...

ADD THESE TOGETHER...

39 + 36 + 15 + 30 + 30...

GIVES US 150 square metres

HOPE THIS HELPS!!

Answer:

150 square meters

Step-by-step explanation:

In a study, 37% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to nuclear plant. Among 12 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health.

Answers

Answer:

The probability that when 12 adults are randomly selected, 3 or fewer are in excellent health is 0.2946

Step-by-step explanation:

BIONOMIAL DISTRIBUTION

pmf of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k

where

k = number of successes in trials    

n = is the number of independent trials    

p = probability of success on each trial

I.

mean = np

where

n = total number of repetitions experiment is excueted

p = success probability

mean = 12 * 0.37

= 4.44

II.

variance = npq

where

n = total number of repetitions experiment is excueted

p = success probability

q = failure probability

variance = 12 * 0.37 * 0.63

= 2.7972

III.

standard deviation = sqrt( variance ) = sqrt(2.7972)

=1.6725

the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health

P( X < = 3) = P(X=3) + P(X=2) + P(X=1) + P(X=0)    

= ( 12 3 ) * 0.37^3 * ( 1- 0.37 ) ^9 + ( 12 2 ) * 0.37^2 * ( 1- 0.37 ) ^10 + ( 12 1 ) * 0.37^1 * ( 1- 0.37 ) ^11 + ( 12 0 ) * 0.37^0 * ( 1- 0.37 ) ^12    

= 0.2947

In a random sample of A women, 65% favored stricter gun control laws. In a random sample of B men, 60% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of C

Answers

Answer:

We conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Step-by-step explanation:

The complete question is : In a random sample of 360 women, 65% favored stricter gun control laws. In a random  sample of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women  favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a  significance level of 0.05.

Now, we are given that in a random sample of 360 women, 65% favored stricter gun control laws.

And in a random  sample of 220 men, 60% favored stricter gun control laws.

Let [tex]p_1[/tex] = proportion of women favoring stricter gun control laws.

[tex]p_2[/tex] = proportion of men favoring stricter gun control laws.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1\leq p_2[/tex]     {means that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1> p_2[/tex]     {means that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control}

The test statistics that would be used here Two-sample z-test for proportions;

                          T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of women favoring stricter gun control laws = 65%

[tex]\hat p_2[/tex] = sample proportion of men favoring stricter gun control laws = 60%

[tex]n_1[/tex] = sample of women = 360

[tex]n_2[/tex] = sample of men = 220

So, the test statistics  =  [tex]\frac{(0.65 -0.60)-(0)}{\sqrt{\frac{0.65(1-0.65)}{360}+\frac{0.60(1-0.60)}{220} } }[/tex]

                                     =  1.205

The value of z test statistics is 1.205.

Now, at 5% significance level, the z table gives critical value of 1.645 for right-tailed test.

Since, our test statistics is less than the critical value of z as 1.205 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

looking for the 2 correct answers please

Answers

Answer:

ROQQOP

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, and vice versa.

  sin ∠QOP = cos ∠ROQ

  cos ∠ROQ = sin ∠QOP

Which shapes can the composite figure be decomposed into? Check all that apply.

Answers

Answer:

rectangle ,triangle ,trapezoid ,octagon ..

Solving for Unknown Angles
Lines x and y are parallel.

Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.

Use the diagram to determine the measure of the unknown angle.

m∠1 = (6x + 8)°

m∠1 = 74°

What is the value of x?


What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°

m∠2 =
°

Answers

Answer:

x=11

Step-by-step explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!

Answer:

x=11

Step-by-step explanation:

Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?

Answers

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

16. Terry has a monthly mortgage payment of $979. Her annual property taxes are

$1200, her PMI is $62/month, and her homeowner's insurance is $800 per year. How

much is deposited into Terry's escrow account each month?

Answers

Answer:

$228.67

Step-by-step explanation:

Given that:

Terry has a monthly mortgage payment of $979.

Terry's annual taxes are $1200 per year. That implies that his escrow each month require to posses 1/12 of that amount.

i.e 1/12 × 1200 = $100 per month.

For his  homeowner's insurance which is $800 per year,

His escrow account each month is = 1/12 × 800 = $66.67

PMI = $62 per month.

Thus: The amount that is deposited  into Terry's escrow account each month is the sum total of $100 + $ 66.67 + $62 = $228.67

What is the quadratic formula?

Answers

Answer:

The quadratic formula is x= -b±√b²-4ac all over 2a

Step-by-step explanation:

The -b±√b²-4ac is part of the numerator of the fraction. And b²-4ac is all under the radical sign. The denominator is 2a so you divide -b±√b²-4ac by 2a to get the solutions of the quadratic function. Hope this helps!!

It’s this under here is a photo to remember what it looks like

Please answer this correctly

Answers

Answer:

2198

Step-by-step explanation:

10×10×3.14=314

314×7

Answer: 2,128 cubic millimeters

To find the volume of a cylinder you must solve 3.14 times radius to its second power times height.

The equation would be

3.14•10^2•7=

3.14•100•7=

314•7=

2,128

So the answer is 2,128 cubic millimeters

what is 1+1, this is for you to get points.

Answers

Answer:

2

Step-by-step explanation:

1+1 = 2

Hope this helps;)

Answer:

1 + 1 =2

Step-by-step explanation:

Hi, how are you?

Do u want to be my friend?

Also, I hope this answered your question?

Convert 8.25% to a decimal

Answers

Answer: 0.0825

Step-by-step explanation:

8.25% to decimal is simply divide 8.25 by 100

8.25/100= 0.0825

The required solution after convert it into decimal is,

⇒ 0.0825

We have to given that,

Convert 8.25% into a decimal.

We can change it as,

⇒ 8.25%

Since, 1% = 1/100

Hence,

⇒ 8.25/100

⇒ 0.0825

Therefore, After convert it into decimal number solution is,

⇒ 0.0825

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

Type the correct answer in the box. Spell all words correctly.
Which term describes the solution to a multiplication problem?
The
describes the solution to a multiplication problem.

Answers

Answer:

product is right

Step-by-step explanation:

what is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line y=1/2x - 3​

Answers

Answer:

Step-by-step explanation: gradient of perpendicular line is

-2

y+1/x+3=-2

y+1=-2x-6

y=-2x-7

Please answer this correctly

Answers

Answer:

h = 20

Step-by-step explanation:

These two shapes are similar, so you can set up a proportion like so:

[tex]\frac{72}{45} =\frac{32}{h}[/tex]

→Cross multiply:

[tex]\frac{72h}{1440}[/tex]

→Divide 1440 by 72:

h = 20

What is the solution to the following system?
a
x+y+z= 6
X-Y+Z= 8
X+y-Z=0

Answers

Answer:

x= 4

Y= -1

Z= 3

step by step procedure:

let x+y+z=6, x-y+z=8, x+y-z=0 be equations 1, 2, and 3 respectively.

subtract equation 2 from equation 1 ; x+y+z-(x-y+z) = 6 - 8 y+y = -2 , 2y = -2, therefore y = -1substituting the value of y into equations 1, 2, and 3 . we get x+z=7---eqn 4, x+z=7---eqn 5 and x-z=1---eqn 6now add equation 6 to equation 5 ; x+z+(x-z)=7+1 ,x+x=7+1, 2x=8, therefore x=4put the value of x (x=4) back into equation 5; 4+z=7, z=7-4, therefore z=3.

you are welcome bro....

Find the value of -1/3-(-5/12)

Answers

1/12 or decimal form 0.083 with repeating line

Pedro is selling candy bars for his school baseball team each candy bar cost 1.25 and a box contains 20 bars

Answers

Answer:

$25

Step-by-step explanation:

You do 1.25. Y 20

Can someone help me on this question please

Answers

Answer:

about 11.11%, or 4/36

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

There are 4 possible ways to get a sum of 5 out of total ways of 6*6= 36

So the probability of getting sum of 5 is 4/36= 1/9

The square rootof which number is rational a7. b 1.96. c. 0.04. d. 13​

Answers

Answer:

B and C

Step-by-step explanation:

We need to find which one of these numbers is a perfect square. We know 7 and 13 can be eliminated since they're prime numbers so they can't be perfect squares. B and C are both perfect squares so that's the answer.

Answer:

B and C

Step-by-step explanation:

7 = 7

1.96 = [tex]\frac{196}{100}[/tex]

0.04 = [tex]\frac{4}{100}[/tex]

13 = 13

A padaria Beira Baixa vem perdendo dinheiro com a sua política de produção de venda do pãozinho francês. Atualmente, a cada dia é feita uma quantidade igual à procura do dia anterior. O proprietário, Sr. Joaquim, recolheu os seguintes dados:

Lucro na venda= $ 0,20 por unidade

Perda no pão não vendido = $ 0,05

(os pães não vendidos são moídos e vendidos como farinha de rosca: cada pão equivale a $0,15 de farinha de rosca)

Distribuição de frequência da demanda diária. Quantos pães devem ser fabricados diariamente para maximizar o lucro médio do Sr. Joaquim


1000 0,10

1100 0,10

1200 0,10

1300 0,15

1400 0,20

1500 0,15

1600 0,10

1700 0,05

1800 0,05

Answers

Answer:

The number of loaves to be made daily to maximize Mr. Joaquim's average profit is 1400.

O número de pães a serem feitos diariamente para maximizar o lucro médio do Sr. Joaquim é 1400.

Step-by-step explanation:

The table gives the daily demand of bread and the average profit that corresponds to each demand.

The daily demand values recorded ranged from 1000 to 1800.

And the corresponding average profit for the demands for each daily demand provided showed a steady increase from $0.10 as at a daily demand of 1000, through $0.15, then peaking at $0.20 at a daily demand of 1400.

After this point, the average profit begins to decline again as we move further away from the peak obtained at a daily demand of 1400.

Hence, it is evident that the daily demand that corresponds to the maximum average profit is 1400.

A daily demand of 1400 is where the peak average profit of $0.20 is obtained.

Any other demand lower or higher than 1400 corresponds to a departure from the peak profit obtained at that point according to the table of daily demand and average profits provided in the question.

In portugese/Em português

A tabela fornece a demanda diária de pão e o lucro médio que corresponde a cada demanda.

Os valores diários de demanda registrados variaram de 1000 a 1800.

E o lucro médio correspondente às demandas de cada demanda diária fornecida mostrou um aumento constante de US $ 0,10, com uma demanda diária de 1000, passando por US $ 0,15, atingindo um pico de US $ 0,20 com uma demanda diária de 1400.

Após esse ponto, o lucro médio começa a declinar novamente à medida que nos afastamos do pico obtido com uma demanda diária de 1400.

Portanto, é evidente que a demanda diária que corresponde ao lucro médio máximo é de 1.400.

Uma demanda diária de 1400 é onde é obtido o lucro médio máximo de US $ 0,20.

Qualquer outra demanda menor ou maior que 1400 corresponde a um afastamento do pico de lucro obtido nesse momento, de acordo com a tabela de demanda diária e lucros médios fornecidos na pergunta.

Hope this Helps!!!

Espero que isto ajude!!!

OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT

Answers

Answer:

the answer is 290

Step-by-step explanation:

A = 2(wl + hl + hw)

Answer:

Step-by-step explanation:

This is a pretty easy one. Use the equation SA=2lw+2lh+2hw and substitute in the length, width, and height. Substitute than solve and you get 290 in^2

Determine whether b can be written as a linear combination of Bold a Subscript Bold 1a1​, Bold a Subscript Bold 2a2​, and Bold a Subscript Bold 3a3. In other​ words, determine whether weights x 1x1​, x 2x2​, and x 3x3 ​exist, such that x 1x1Bold a Subscript Bold 1a1plus+x 2x2Bold a Subscript Bold 2a2plus+x 3x3Bold a Subscript Bold 3a3equals=b. Determine the weights x 1x1​, x 2x2​, and x 3x3 if possible.

Answers

Complete  Question

The complete question is shown on the first uploaded image

Answer:

 a

    b can be written as a linear combination of  [tex]a_1 \ and \ a_2[/tex]

b

   The values of   [tex]x_1 = 4 \ and \ x_2 = 2[/tex]

Step-by-step explanation:

From the question we are told that

      [tex]x_1 a_1 +x_2 a_2 = b[/tex]

Where [tex]a_ 1 = (4, 5,-4)[/tex],  [tex]a_2 = (-4 , 3, 3)[/tex] and  [tex]b = (8,26 , -10)[/tex]

   So  

      [tex]x_1 ( 4, 5,-4) + x_2 (-4 , 3, 3) = (8,26 , -10)[/tex]

     [tex]4x_1, 5x_1,-4x_1 + -4x_2 , 3x_2, 3x_2 = (8,26 , -10)[/tex]

=>   [tex]4x_1 -4x_2 =8[/tex]

     [tex]x_1 -x_2 =2 ---(1)[/tex]

=>   [tex]5x_1 + 3x_2 = 26 --- (2)[/tex]

=>   [tex]-4x_1 + 3x_2 = -10 ---(3)[/tex]

Now multiplying equation 1 by 3 and adding the product to equation 2

          [tex].\ \ \ 3x_1 -3x_2 = 6\\+ \ \ 5x_1 + 3x_2 = 26 \\=> \ \ \ 8x_1 = 32[/tex]

=>        [tex]x_1 = 4[/tex]

 substituting [tex]x_1[/tex] into equation 1

        [tex]4 - x_2 =2[/tex]

        [tex]x_2 =2[/tex]

Now to test substitute [tex]x_1 \ and \ x_2[/tex] into equation 3

       [tex]-4(4) + 3(2) = -10[/tex]

      [tex]-10 = -10[/tex]

Since LHS = RHS then there exist values [tex]x_1 = 4 \ and \ x_2 = 2[/tex]  such that

       [tex]x_1 a_1 +x_2 a_2 = b[/tex]

Hence b can be written as a linear combination of  [tex]a_1 \ and \ a_2[/tex]

     

a cell phone company test 95 cell phones and finds that seven of them have defects out of the 760 cell phones how many would you expect to have defects ​

Answers

Answer:

56

Step-by-step explanation:

simple ratio: 7/95 = x/760

first, calculate 7/95 which is 0.0736

next, multiply that by 760, which would be 56

A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be​ normal, with a standard deviation of 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.87 ounces. Test at the 1​% significance level the null hypothesis that the population mean weight is at least 20 ounces.

Answers

Answer:

[tex]z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625[/tex]    

The p value for this case would be given by:

[tex]p_v =P(z<-1.625)=0.052[/tex]  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

[tex]\bar X=19.87[/tex] represent the sample mean

[tex]\sigma=0.4[/tex] represent the population deviation

[tex]n=25[/tex] sample size  

[tex]\mu_o =68[/tex] represent the value that we want to test

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 20[/tex]  

Alternative hypothesis:[tex]\mu < 20[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625[/tex]    

The p value for this case would be given by:

[tex]p_v =P(z<-1.625)=0.052[/tex]  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Rachel is conducting a study in her cognitive psychology lab about people's ability to remember rhythms. She played

a short rhythm to 425 randomly chosen people. One minute later, she asked them to repeat it by clapping. If 121

people were able to successfully reproduce the rhythm, estimate the proportion of the population (including margin

of error) that would be able to successfully reproduce the rhythm.

Answers

Answer:

Rachel can conclude that 28% were able to successfully reproduce the rhythm plus or minus 5.6%

Step-by-step explanation:

To find the sample proportion that is able to successfully reproduce the rhythm = 121/425 = 0.2847 = p

Using this formula, we can calculate the margin of error

Margin of error = z*√{[p (1-p)] / n}

Where we assume a 95% level of confidence so that z* = 1.96. since one is not given, p = 0.28457 and n = 245.

Margin of error = 1.96 x √(0.28457 (1-0.28457)] / 245}

Margin of error = 1.96 x √[(0.28457 (0.7154)] / 245

 = 1.96 x √(0.20/245)

 = 1.96 x √0.000816

  = 1.96 x 0.03

 = 0.056.

Thus, Rachel can conclude that 28% were able to successfully reproduce the rhythm plus or minus 5.6%

You plan to purchase dental insurance for your three remaining years in school. The insurance makes a​ one-time payment of ​$1200 in case of a major dental repair​ (such as an​ implant) or a​ one-time payment of ​$160 in case of a minor repair​ (such as a​ cavity). If you​ don't need dental repair over the next 3​ years, the insurance expires and you receive no payout. You estimate the chances of requiring a major repair over the next 3 years as 6​%, a minor repair as 59​% and no repair as 35​%. Complete parts a through c.

Required:
a. Why is X= payout of dental insurance a random variable?

A. The amount of the payout for major, mincr, or no dental repair varies over the next 3 years.
B. The probability of needing major, minor or no dental repair over the next 3 years is estimated.
C. The probability of needing major, minor, or no dental repair over the next 3 years varies.
D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.

b. Is X discrete or continuous? What are its possible values?
c. Give the probability distribution of X

Answers

Answer:

(a)D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.

(b)Discrete

(c) See below

Step-by-step explanation:

For a major dental repair, the insurance company pays $1200For a minor dental repair, the insurance company pays $160For no dental repair, the insurance company pays $0

(a) X= payout of dental insurance a random variable

The payout of dental insurance, X is a random variable because the value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years. The correct option is D.

(b) X is a discrete variable. This is because its values are whole numbers.

The possible values are $1200, $160 and $0.

(c)

The probability of requiring a major dental repair (with payout of $1200) is 6%.The probability of requiring a minor dental repair (with payout of $160) is 59%.The probability of requiring no dental repair (with payout of $0) is 35%.

Therefore, the probability distribution of X is given below:

[tex]\left|\begin{array}{c|c|c|c}--------------&---&---&---\\X$(Payout of dental insurance)&\$1200&\$160&\$0\\--------------&---&---&---\\P(X)&0.06&0.59&0.35\\--------------&---&---&---\end{array}\right|[/tex]

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