A sample of 32 people yielded the information about their health insurance in the given table.Two people who provided information for the table were selected at random, without replacement. Find the probability that at least one has traditional insurance.The probability is(Type a fraction. Simplify your answer.)

Answers

Answer 1

From the table given

17 people have managed care plan

9 have Traditional insurance

6 have no insurance

The probability of an event happening is given as the ratio of the number of the possible outcome divided by the total outcome.

If two balls are taken, the probability that at least one has traditional insurance

TN or TM or TT or NT or MT

where T is for traditional insurance

N is for no insurance

M is for managed insurance

the probability that at least one of two people picked without replacement has traditional insurance

= 9/32 * 6/31 + 9/32 * 17/31 + 9/32 * 8/31 + 6/32 * 9/31 + 17/32 * 9/31

= (54 + 153 + 72 + 54 + 153)/992

= 486/992

= 243/496


Related Questions

A boy and his younger sister are at the arcade but they only have enough money for one game of skee ball. If they get to play 9 balls, which of the following best describes how the girl and her brother might share the balls?

The boy gets to play 5 balls.
The younger sister gets to play 5 balls.

The boy gets to play 4 balls.
The younger sister gets to play 5 balls.

The boy gets to play 5 balls.
The younger sister gets to play 6 balls.

The boy gets to play 3 balls.
The younger sister gets to play 4 balls.

Answers

Answer:

its gonna be The boy gets to play 4 balls.

The younger sister gets to play 5 balls.

Step-by-step explanation:

because 5 + 4 = 9

How can you use transformations to graph this function?

Answers

Answer:

What function?

Step-by-step explanation:

Please help with this question! Thank you :)

Please help with this question! Thank you :)

Answers

Answer:

D. 116

Step-by-step explanation:

\(V=(\frac{1}{3})\pi r^{2}h\)

V = (1/3)π(4)²(6.9)

V = 36.8π

V ≈ 115.55

Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!

BRAINLIEST please if this helped!
Please help with this question! Thank you :)

hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!​

hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation.

Answers

Answer:

the closest answer is the last option, so I would say that is the correct one.

Step-by-step explanation:

4.5 x 4.5 x π =

20.25 x π =

63.6172....

Which is an equation of a direct proportion? y=8x y=
12x+4 y=12x y=4x−4

Answers

The equation of a direct proportion is A. y=8x.

What is a direct proportion?

It should be noted that a direct proportion is also a direct variation. It is one when the relation between the two quantities have a value that's constant.

In this case, it's illustrated as y = 8x.

Let's say x = 1 y will be = (8 × 1) = 8

When x = 2, y = (8 × 2) = 16

In this case, it should be noted that the constant of 8 is illustrated.

In conclusion, the correct option is A.

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\(\frac{2}{2+\sqrt{7} }\)

Answers

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

Given expression:

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

(k²-7k+ 10) ÷ (k − 1)

Answers


k2−7k+10
k−1
k2−5k−2k+10
k−1
k(
k2
k−
5k
k)+2(−
2k
2+
2·5
2)
k−1

Translate the sentence into an equation

seven times the sum of a number and 2 is equal to 3

Use the variable y for the unknown number

Answers

7(y+2)=3
seven times the sum of a number (y) and 2
means y+2 multiplying by 7
7(x+2)=3

7
times the sum of a number ‘x’, and (which means add) is equal ‘=‘ to 3

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?

36h3, 12h6, __________

Answers

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

How can the term be known?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Write an expression for the sequence of operations described below.

raise 6 to the 8th power, then add r to the result

Do not simplify any part of the expression.

Answers

Answer:

No entiendo por qué está en ingles

I really need to know how to solve this type of problems

I really need to know how to solve this type of problems

Answers

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

How to calculate the quantity of shirts that are red.?

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

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Based on the given segment lengths, determine whether the segments can form a triangle.

11.5,10.5, 6.1
9.5, 3.5, 4.5
8, 6.7, 1
8, 6.7, 9.8
5, 6, 8
9.5, 7.5, 8.5

Based on the given segment lengths, determine whether the segments can form a triangle.11.5,10.5, 6.19.5,

Answers

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

Can form triangle : 11.5,10.5, 6.1 & 8, 6.7, 9.8 & 5, 6, 8 & 9.5, 7.5, 8.5

Can not form triangle : 9.5, 3.5, 4.5 & 8, 6.7, 1

                             

What is triangle inequality theorem ?

If sum of any two line segments is greater than the third line segment, then we can say that, they can make a triangle.

How to know which sets form triangle ?

1st problem,

The given line segments are 11.5, 10.5, 6.1

Now, 11.5+10.5 = 22 > 6.1

10.5+6.1 = 16.6 > 11.5

11.5+6.1 = 17.6 > 10.5

So, this three segments can form triangle.

2nd problem,

The given line segments are 9.5, 3.5, 4.5

Now, 9.5+3.5 = 13 > 4.5

9.5+4.5 = 14 > 3.5

4.5+3.5 = 8 < 9.5

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

3rd problem,

The given line segments are 8, 6.7, 1

Now, 8+6.7 = 14.7 > 1

8+1 = 9 > 6.7

6.7+1 =7.7 < 8

Here triangle inequality rule isn't applicable.

So, it can not form triangle.

4th problem,

The given line segments are 8, 6.7, 9.8

Now, 8+6.7 = 14.7 > 9.8

8+9.8 = 17.8 > 6.7

6.7+9.8 = 16.5 > 8

So, this three segments can form triangle.

5th problem,

The given line segments are 5, 6, 8

Now, 5+6 = 11>8

5+8 = 13 > 6

6+8 = 14 > 5

So, this three segments can form triangle.

6th problem,

The given line segments are 9.5, 7.5, 8.5

Now, 9.5+7.5 = 17 > 8.5

9.5+8.5 = 18 > 7.5

7.5+8.5 = 16 > 9.5

So, this three segments can form triangle.

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What is the inverse of the function f(x) = one-ninthx + 2?

h(x) = 18x – 2
h(x) = 9x – 18
h(x) = 9x + 18
h(x) = 18x + 2

Answers

Answer:

c

Step-by-step explanation:

we know that f(x) = 1/9x +2,

so h(1/9x + 2) = x

What is the equation of the line that has a slope of -5 and passes through the point (0,2)

Answers

Answer:

y=-5x+2

Step-by-step explanation:

help please and thanks
giving more points when someone answers.

help please and thanksgiving more points when someone answers.

Answers

Answer:

69˚

Step-by-step explanation:

Subtract 360 with 429

which is 69˚

Answer is 69˚

Hope this helps!

Based on the polynomial remainder theorem, what is the value of the function when
x = 3?

f(x)= x^4 – 2x^3 + 5x^2 – 7x + 4
Enter your answer in the box.
=f(3)

Answers

Answer:

55

Step-by-step explanation:

Value when x = 3

=> x⁴ - 2x³ + 5x² - 7x + 4

=> (3)⁴ - 2(3)³ + 5(3)² - 7(3) + 4

=> 81 - 2(27) + 5(9) - 21 + 4

=> 81 - 54 + 45 - 21 + 4

=> 130 - 75

=> 55

11. Use the figure to find the measure of 24.123629

11. Use the figure to find the measure of 24.123629

Answers

From the question,

We have the figure below

We are to find measure of angle 4

This will be done by following rule of corresponding angle

From the figure above

Angle 4 corresponds to to angle 42 degrees

And

Correspoinding angles are equal

Hence,

\(\angle4=42^{\circ}\)

Therefore, measure of angle 4 is 42 degrees

11. Use the figure to find the measure of 24.123629

b) A first-time house buyer can make 240 monthly payments of £675 to repay the mortgage. How many monthly payments are required if she can pay £600 per month?

Answers

she would need 270 payments

Bob went to a baseball game the game started at 9:45 a.m. and it was 3 hours and 34 minutes long when did the game end​

Answers

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

45 + 34 = 79\(\frac{79}{60}\) \(=1\frac{19}{60}\)

Why do we convert it into a fraction?

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

9 + 3 = 1212AM + 1 hour = 1PM1PM + 19 = 1:19 PM

Therefore, the game ended at 1:19 PM

What is the purpose of data? Answer below.​

Answers

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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PLEASE HELP!!!! SHOW ME HOW YOU GET THE ANSWER

PLEASE HELP!!!! SHOW ME HOW YOU GET THE ANSWER

Answers

5$ times the number of days he is driving "x" minus his budget because he is taking money from the 300$ he has in his budget so y= 5x - 300

Solve the equation. 23 equals 7 times x.

Answers

Answer:

x=23/7

Step-by-step explanation:

Answer: 3.28571

Step-by-step explanation: 7x 3.28571=22.99997

find the slope of the tangent line \(m_{tan}\) = f'(a) and then find the equation of the tangent line to f at x = a

f(x) = \(\frac{10}{x}\) ; a = 3

Answers

9514 1404 393

Answer:

 10x +9y = 60

Step-by-step explanation:

The equation for the tangent line at a point is ...

  y -f(a) = f'(a)(x -a)

For the given function,

  f(x) = 10/x

The derivative is ...

  f'(x) = -10/x^2

Then the equation of the tangent line is ...

  y -10/3 = -10/9(x -3) . . . . equation of the tangent line (point-slope form)

Clearing fractions, we have ...

  9y -30 = -10(x -3) = -10x +30

  10x +9y = 60 . . . . . equation in standard form

find the slope of the tangent line [tex]m_{tan}[/tex] = f'(a) and then find the equation of the tangent

A soda can has a radius of 1 inch and a height of 5 inches and a density of 3.2 g/mL. What is the mass?

Answers

The volume of the soda can is given by the formula V = pi*r^2*h, where r is the radius and h is the height. Substituting the given values, we get V = 3.1416*(1 inch)^2*(5 inches) = 15.708 cubic inches.

The mass of the soda can is given by the formula M = V*d, where d is the density of the soda can. Substituting the given values, we get M = 15.708 cubic inches * 3.2 g/mL = 50.226 g.

Therefore, the mass of the soda can is approximately 50.226 grams.

What number can be placed in the box to make this statement true?
If +7=10, then 10-7 = 0.
02
O 3
04
O 5

Answers

Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Eric borrowed a total of $3000 from two student loans. One loan charged 4% simple interest and the other charged 3.5% simple
interest, both payable after graduation. If the interest he owed after 2 years was $215, determine the amount of principal for each
loan.

Answers

Answer:

$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Step-by-step explanation:

Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:

4 x 2 = 8

3.5 x 2 = 7

1500 x 0.08 + 1500 x 0.07 = 225

1400 x 0.08 + 1600 x 0.07 = 224

100 x 0.08 + 2900 x 0.07 = 211

500 x 0.08 + 2500 x 0.07 = 215

Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Point H is located at (-3,-2) on the coordnate plane. Point H'. What ordered pair describes the location of H'?

Answers

Answer:

You bought a

Step-by-step explanation:

Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.

Answers

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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f(t) = -2t + 5?
I need help please

Answers

Answer:

t = 5/2 is the solution of this equation ....

plz mark my answer as brainlist plzzzz vote me also

Trova la primitiva della funzione f(x)= xì2-2x+1 che ha un flesso di ordinata 4/3

Answers

Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

−x+1 < x+1

−1 ≤ x < 1

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

Other Questions
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Which of these countries (or countries leaders) would you expect to be most likely to be hit with a travel-ban and/or asset freeze by the UN Security Council as a result of their activities in Libya? Be sure to explain why this country is much more likely than the others to be hit with these penalties. (Critical Thinking) c) While few would argue against the claim that the Security Council is the most powerful UN institution, many would claim that the UN General Assembly serves as a meaningful check on the power of the Security Council. Provide three powers given to the General Assembly by the UN Charter that allow it to serve as a meaningful check on the power of the Security Council. When answering this question, be sure to explain how each of these powers (potentially) limits the power of the Security Council. 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