Past insurance company audits have found that 2 percent of dependents claimed on an employee’s health insurance actually are ineligible for health benefits. An auditor examines a random sample of 7 claimed dependents. (a) What is the probability that all are eligible? (b) That at least one is ineligible?

Answers

Answer 1

Using the binomial distribution, it is found that the probabilities are given by:

a) 0.8681 = 86.81%.

b) 0.1319 = 13.19%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, we have that:

98% of the employees are eligible, hence p = 0.98.A sample of 7 was taken, hence n = 7.

Item a:

The probability is P(X = 7), hence:

P(X = 7) = 0.98^7 = 0.8681 = 86.81%.

Item b:

The probability is:

P(X < 7) = 1 - P(X = 7) = 1 - 0.8681 = 0.1319 = 13.19%.

More can be learned about the binomial distribution at https://brainly.com/question/24863377


Related Questions

how to solve this problem

Answers

The answer is 1 .

there are 11 zero digits, 21 one digits, and 20 each of the rest of the digits

Answer:

The answer is 1
- One is the most frequent digit used for writing numbers between 1-1000
- its because 1 has 1 in it and 1000 also has one in it so it can't be other numbers from 1-9
- It can't be zero as zero is not repeated as much as 1
- so the answer is 1

Please help me how to solve it and show the work thanks

Answers

Step-by-step explanation:

The answer is 33/5.

To multiply fractions, you multiply the numerators to get the numerator of the product and multiply the denominators to get the denominator of the product and then simplify the product. Also, you can make a whole number, which is 28 in this case, into a fraction by putting it over 1. So, that would be 28/1.

First, I multiplied the numerators:

4(11)(28)(9) = 11088

Next, multiply the denominators (and im assuming that last one is a 48, its a bit covered up by the mouse):

5(7)(1)(48) = 1680

So that's 11088/1680

Lastly, you simplify this to get 33/5 (I just used desmos scientific calculator for all of this)

Hope that helps :]

Which statement is true about the points shown below?
(-3,1)
(7.1)
The distance between them is zero because they have the same y coordinate.
The distance between them can be found by counting from -3 to 7.
The distance between them cannot be calculated because the points do not have the same x-coordinate.
The distance between them can be found by doubling the distance of either point from the yaxis.

Answers

Answer:

The distance between them can be found by counting from -3 to 7.

Step-by-step explanation:

got 100 on my assignment

The radius of a circle is 2 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

1.57 square feet

Step-by-step explanation:

Given :-

Radius =  2 feet

θ = 45°

Formula to be used :-

Area (sector) = πr² x θ / 360°

Inputting the values :-

= 3.14 x (2)² x 45/360

= 3.14 x 4 x 1/8

= 3.14 x 1/2

= 1.57 square feet

There are 5 coins in a jar jim put 4 more coins in the jar then took 8 away how many coins are in the jar now?

Answers

Answer:

1 coin is left

Step-by-step explanation:

5 coins + 4 coins = 9 coins - 8 coins = 1 coin so 1 coin is your answer.

Answer:

1

Step-by-step explanation:

5+4=9
9-8 = 1
Therefore, there is 1 coin in the jar.

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.

Answers

Answer:

Given,

Dimensions of rectangular prism

Length= 10in

Breadth=2in

height= 3(1/2) or 7/2

Dimension of cube = 1/2in

Let the number of cubes be x

A.T.Q(According to question)

Vol. of rectangular prism= Vol. of Square× Number of cubes

l×b×h = a³

= > 10×2×7/2 = (1/2)³× x

x = 560

So the number of cubes required to fill the prism is. 560

y
Which linear inequality is represented by the graph?
6
6
4+
O ys}x+2
O yz O ys}x+2
O yz-x+ 2
3.
2
o
5
2
Х
3

Answers

Answer:

a

Step-by-step explanation:

[tex]y\leq\frac{1}{2}x+2 \\\\1\leq \frac{1}{2}(0)+2\\\\1\leq 0+2\\\\1\leq 2[/tex]

This statement is true

Hope this helps!

The linear inequality represented by the graph is y ≤ 1/2x + 2

How to determine the inequality?

From the graph, we have the following highlights:

The graph crosses the y-axis at c = 2The graph is a less than or equal to graph

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Using the points on the graph, we have:

[tex]m = \frac{4 -2}{4 -0}[/tex]

Evaluate

m = 1/2

The first highlight implies that the y-intercept is 2.

So, the linear inequality is:

y ≤ mx + c

This gives

y ≤ 1/2x + 2

Hence, the linear inequality represented by the graph is y ≤ 1/2x + 2

Read more about linear inequality at:

https://brainly.com/question/18881247

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The 6% state income tax on a 40,000 salary

Answers

Answer:

answer is 2400

Step-by-step explanation:

6/100×40'000=2400

What is renters insurance?
helllllllllllllllllllllllp meeeeeeeeeeeeee

Answers

Answer:

Renters insurance protects your belongings from loss, damage, or destruction following things like burglaries, fires, tornadoes and other covered events. Plus, renters insurance also protects your liability (and your money) if someone is injured at your rental home or apartment.

Step-by-step explanation:

A circle with radius of 1 cm sits inside a 3 cm x 4cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
3 cm
1 cm
4 cm
cm?

Answers

First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Finding area of rectangle:

[tex] \qquad \bf \implies \: area = length \times breadth[/tex]

Length = 3 cmBreadth = 4 cm

[tex] \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} [/tex]

[tex] \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } [/tex]

Finding area of circle:

[tex] \qquad \bf \implies \: area = \pi {r}^{2} [/tex]

π = 22/7r = 1

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } [/tex]

Find the area of shaded region now,

[tex] \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle[/tex]

Area of rectangle = 12 cm²Area of circle = 3.14 cm²

[tex] \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } [/tex]

[tex] \qquad \tt \pink\looparrowright \orange{area = 8.86} [/tex]

Thus, The area of the shaded region is 8.86 cm²...~

6. Find the perimeter and the area of the shape.
6 yd
18 yd
7 yd
15 yd
42 yd

Answers

I believe your answer is 798 yards^2

The perimeter and the area of the shape are 63 square yards and 46 yards, respectively.

How do we calculate?

The area of a triangle is equal to one half the product of its base and height. In the image, the base of the triangle is 18 yards and the height is 7 yards. Therefore, the area of the triangle is:

area = (1/2) * base * height

= (1/2) * 18 * 7

= 63 square yards

The perimeter of the shape is the sum of the lengths of all of its sides. In the image, the lengths of the sides are 6 yards, 18 yards, 7 yards, and 15 yards.

Therefore, the perimeter of the shape is:

perimeter = 6 + 18 + 7 + 15

= 46 yards

Learn more about area of a triangle at:

https://brainly.com/question/21735282

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Let f(x) = (3)^x-3. What is f(1)?

Answers

[tex]f(1) = 3^x-3 = 3^1-3=3-3=0[/tex]

To solve f(1), we simply plug 1 into all the x's position

             --> the exponent of 3 in this case

This is a repost! Please help!

Answers

Answer:

30%

Step-by-step explanation:

To solve this, you must first find the areas of the circle and the pentagon within it.

Find the area of the circle:

The area of a circle is πr² and the circle in the diagram is shown to have a radius of 4cm, so to find its area, plug 4 into the equation

A = πr²  ⇒  A = π(4)²  ⇒  A = 16π

Find the area of the pentagon:

To find the area of a pentagon, you should first know that the shape is simply five triangles combined into one shape. (See Image)

With the formula for the area of a triangle in mind, it should be known that the pentagon's side acts as a base and the pentagon's apothem (dotted line) acts as a height for each triangle. According to the diagram, the base length is 4.7 and the height is 3.2. To find the area of any of the triangles, plug these values into the formula for the area of a triangle:

A = [tex]\frac{1}{2}[/tex]bh  ⇒  A = [tex]\frac{1}{2}[/tex](4.7)(3.2)    ⇒  A = 7.52 cm²

Since a pentagon is made of five of these, simply multiply the area you just found by 5 to find its area:

A = 7.52 * 5 = 37.6 cm²

Find the area of the white parts:

To find the area of the white parts, subtract the area of the pentagon from the area of the circle:

16π - 37.6 = 12.67 cm²

Now all that's left is to find the probability, all you have to do is

Divide the area of the white by the area of the circle:

12.67 / 16π = .25, which is .3 rounded to the nearest tenth.

That means that the probability that a randomly selected point within the circle falls in the white area is 30%

Hope this worked!

6.1 Assignment for 3D Figures
1.-5. Label the measurements on the nets, write the formula for the Surface Area and s
Shape
Formula
Surface Area
Net
Label the measurements on the nets, write the formulap for surface area solve! SHOW WORK ( will mark brainlist )

Answers

Answer:

surface area of cuboid = 190 in²

surface area of triangular prism = 1240 yd²

surface area of cone = 791.28 ft²

Step-by-step explanation:

cuboid formula = 2( l x b + l x h + h x b )

solution:

S.A = 2(l x b + l x h + h x b)

S.A = 2(5 x 3 + 5 x 10 + 10 x 3)

S.A = 2(15 + 50 + 30)

S.A = 2( 95 )

S.A = 190 in²

triangular prism formula = 2(1/2 (b x h)) + 2(l x b) + l x b(this formula can only be used for this type of triangular prism)

solution:

S.A = 2(1/2 (b x h)) + 2(l x b) + l x b

S.A = 2(1/2 (15 x 16)) + 2(17 x 20) + 20 x 16

S.A = 240 + 680 + 320

S.A = 1240 yd²

cone formula = [tex]\pi[/tex]r(l + r) or [tex]\pi[/tex]rl + [tex]\pi[/tex]r²

solution:

S.A = [tex]\pi[/tex]r[l+r]

S.A = 3.14(9)[19 + 9]

S.A = 28.26 x 28

S.A = 791.28 ft²

PLEASE MARK AS BRAINLIST!!!

Look at the image below

Answers

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12       $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

[tex]30*0.13=3.9[/tex]           [tex]20*0.13=2.6[/tex]

Now we can find the final price for each number by adding the tax to the rounded price.

[tex]30+3.9=33.9[/tex]          [tex]20+2.6=22.6[/tex]

Hence, (A) 33.9, (B) 22.6

Find the area of the shape below.

Answers

wait I accidentally sent the wrong thing sorry

A distribution center is redesigning two of its shipping boxes. The volume of these two boxes need
shown
4x
x + 1
x + 2
Х
3x - 1
4x
Write a system of equations to represent the volume of each box, y. Which statement describes the number and viability of the system's
solutions?
ОА
The system has two solutions, and both are viable because they result in positive side lengths.
Ов,
The system has two solutions, but only one is viable because the other results in negative side lengths.
The system has only one solution, and it is viable because it results in positive side lengths.
Ос.
OD
The system has only one solution, but it is not viable because it results in negative side lengths.

Answers

Answer:

ОА

The system has two solutions, and both are viable because they result in positive side lengths.

Step-by-step explanation:

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that at most 4 students have taken chemistry? Round the answer to the nearest thousandth.

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction

READ ANSWERS !
0.008
0.438
0.562
0.665

Answers

Answer:

B

JUST TOOK THE UNIT TEST REVIEW

Learn more about the probability here;

brainly.com/question/24756209

NO LINKS!!

Finding the Distance across a Pond:
Find the distance from A to C across the pond illustrated in the figure. ​

Answers

Answer:

tan 40  =ac

1              100    AC=100*tan40=83.91feet

Step-by-step explanation:

there you go enjoy lol

[tex]\\ \rm\rightarrowtail cot40=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot40=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{BC}{cot40}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.192}[/tex]

[tex]\\ \rm\rightarrowtail AC=83.89ft[/tex]

The expression 0^-4 =
in simplifed form?

Answers

Answer:

Step-by-step explanation:

1. Simplify the expression

[tex]0^-4[/tex]

2. Simplify exponents and square roots

[tex]0^-4[/tex]

[tex]_{ \infty}[/tex]

Why learn this:

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics:

Order of operations

help quick please!!

The triangles are similar. Solve for X

a) 2.5
b) 4.5
c) 5.5
d) 6.5

Answers

Answer:

4.5 I hope I was not to late

(0,0), (3, 3)
how would i graph this

Answers

Start on the x axis with 0 and go up to 0 so that would make your coordinates (0,0)

Now start on the x axis on 3 and go up to 3 which would make your coordinates (3,3)
X,Y X,Y
(0,0) (3,3)

You’d start by putting your 3 on the X axis (the horizontal line). So start from the center and move to the right 3. Then put your Y value on the Y axis which is also 3. From where you placed your X value go up 3

10. Last Saturday, Jim, Troy and Andrew went jogging. Jim jogged 78% of 9 km, Troy jogged 64% of 12 km and Andrew 95% of 7 km. Combining two distances jogged by two boys, what pair will have 13.39 km in total?

Answer:​

Answers

none

jim jogged 7.02 km
troy jogged 7.68 km
andrew jogged 6.65 km


jim and troy would be 14.7 km

jim and andrew would be 13.67 km

troy and andrew would be 14.33 km

Write as ratio then find an equal ratio there are 12 inches in a foot find the number of inches in 6 feet

Answers

Answer:1. 12:6         equivalant ratio:24:12

Step-by-step explanation:

12:6 means twelve to 6 and to find a equivalant ratio means to find a number that 12 and 6 can equal so it would be 24:12 which i multiplied by 2.

Hunter is 35 years older than Andrew. After 5 years Hunter will be twice Andrew's age. Find the present age of both.

Answers

Answer:

Andrew is 30 years old. Hunter is 65 years old.

Step-by-step explanation:

we can set up 2 equations:

h = 35 + a

h+5 = 2(a+5)

Solve for h in the second equation.

h + 5 = 2a + 10; h = 2a + 5

now set the 2 equations = to each other

2a + 5 = 35 + a

solve for a by combining like terms

a + 5 = 35

a = 30

so Andrew is 30 and Hunter is 35 + 30 = 65.

Sp in 5 years Andrew is 35 and Hunter is 70 (twice A's age)

Answer:

Let h represent Hunter's AgeLet a represent Andrew's Age.

So that means that

h=35+a+5

because he already is 35

we add Andrew's Age

And we add 5 for 5 extra years

Therefore,

35 + 5 + a = 2(a + 5)

35+5=40.

40+a = 2a+10

Substract the a

40 = a+10

Subtract 10

30 = a

If Andrew's age is 30, going back to our first equation,

h = 35 + 30 (previously a) + 5

Hunter's Age = 65

Andrew's Age = 30

Hope it helped!

A cylindrical can of tuna has a Radius of 4.25 cm and a height of 4cm. What is the exact volume of the can of tuna?

Answers

Answer:

V =226.98

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h

=π =4.252·4

≈226.9800

I need help figuring out the answer …

Answers

Answer:

0.027

Step-by-step explanation

If s = 0.3, and s is being cubed, that's the same as 0.3 cubed

Cubed just means to the third power.

So that mean o.3 cubed is the same as (0.3)(0.3)(0.3)

Therefore, the answer is 0.027

How many arrays can you make with 16

Answers

Answer: 3.

Step-by-step explanation: NA/Student did not ask ; answer given only.

How much of the graph is shaded

Answers

Answer: 60%.

Step-by-step explanation: As you can see, there are one hundred squares on the grid.  If you go by tens with the shaded part, you get 6 tens shaded, or 60 squares total.  60 is also equivalent to 60%, which is your answer.

Let me know if this is right! :)

Identify the dimensions of P.

Answers

Answer: 6        

 

Step-by-step explanation:

Answer:

3x2

Step-by-step explanation:

Matrix P has 3 rows and 2 columns.

Therefore, P has dimensions 3 × 2.

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