1. A bag contains 3 gold marbles, 6 silver marbles, and 20 red marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is red, you lose $1.
What is your expected value if you play this game?
2. A company estimates that 8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $450.
If they want to offer a 2 year extended warranty, what price should they charge so that they'll break even (in other words, so the expected value will be 0)

Answers

Answer 1

1.  Expected value = $0.34 2. Therefore, the company should sell the extended warranty for $360 in order to break even. are the answers

1.  Expected value is defined as the weighted average of all possible outcomes in a random event.

In this case, the probability of drawing gold is 3/29, the probability of drawing silver is 6/29, and the probability of drawing red is 20/29.

Therefore, the expected value is:

Expected value = (3/29) × $3 + (6/29) × $2 + (20/29) × (-$1)

Expected value = $0.34

The expected value is positive, indicating that this game is profitable in the long run.

2.  Let's assume the company sells the extended warranty for x dollars. If the product does not fail, then the company earns x dollars.

However, if the product fails, the company will incur a replacement cost of $450, but it will not have to pay for the warranty since the customer has already purchased it.

Therefore, the expected value of selling an extended warranty is given by:

Expected value = (0.92) × x + (0.08) × (-$450 + x)

Setting the expected value to zero and solving for x:

0 = (0.92) × x + (0.08) × (-$450 + x)

0 = 0.92x - $36 + 0.08x0.1

x = $36

x = $360

Therefore, the company should sell the extended warranty for $360 in order to break even.

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Related Questions

The sum of the interior angles of the polygon is 540 degrees. Create an equation to solve for x:



Part 2: Find the measure of x, then find the measures of each unknown angles

Answers

 To find the measure of x and the unknown angles in a polygon, we can create an equation based on the sum of the interior angles, which is 540 degrees.final answer is 108°.

Let's assume the polygon has n sides. Each interior angle of a polygon can be calculated using the formula (n - 2) * 180° / n. In this case, we are given that the sum of the interior angles is 540 degrees.
So, we can set up the equation:
(n - 2) * 180° / n * n = 540°
Simplifying the equation:
(n - 2) * 180° = 540°
(n - 2) = 540° / 180°
(n - 2) = 3
Solving for n:
n = 3 + 2
n = 5
Now that we know the polygon has 5 sides, we can find the measure of x by substituting it back into the formula:
x = (5 - 2) * 180° / 5
x = 3 * 180° / 5
x = 540° / 5
x = 108°
In conclusion, the measure of x is 108 degrees, and each of the unknown angles in the polygon would also be 108 degrees since all angles in a regular polygon are equal.

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Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? Help please thank you!!!

Answers

Answer:

215 mm

Step-by-step explanation:

1 cm = 10 mm

21.5 cm * (10 mm)/(1 cm) = 215 mm

Answer: 215 mm

5600 is to be divided into A,B,C and D in such a way that the ratio of share of A:B is 1:2, B:C is 3:1 and C:D is 2:3. find the sum of (A (A and B) and ( B and C)​

Answers

Answer:

A and B

Step-by-step explanation:

sorry not answers

Can i get some help please??? Thanks!!!!

Can i get some help please??? Thanks!!!!

Answers

Answer:

The length is 40 units.

Step-by-step explanation:

You need to use a triangle for the base then use the hypotenuse of the base as the base of the diagonal shown in the prism.

\(0.5*8*2=\\4*2=\\16\)

The hypotenuse of the triangle of the base is 16.

\(0.5*16*5=\\8*5=\\40\)

The diagonal shown in the prism is 40 units.

Divide and simplify.


(24a^3)/(35b^2) divided by (16a)/(14b^3)


A. (12a)/(35b)

B. (5a^2b)/(3)

C. (4a^2)/(5b)

D. (3a^2b)/(5)

Answers

Answer:

took me a minute the answer is D. (3a^2b)/(5).

I got some things like when I simpley the equation

(15a^2)(4b)

what is the circumference and area of a circle that is circumscribed about a square with sides of 10cm

Answers

The circumference of the circle is approximately 31.42 cm and the area of the circle is approximately 157.08 cm².

A circle circumscribed about a square with sides of 10cm has a circumference of approximately 31.42 cm and an area of approximately 157.08 cm².

If a circle is circumscribed about a square, the diameter of the circle is equal to the diagonal of the square. In this case, the diagonal of the square is:

d = √(10² + 10²) = √(200) = 10√(2) cm

The radius of the circle is half the diameter, so:

r = 5√(2) cm

The circumference of the circle is:

C = 2πr = 10π√(2) cm

The area of the circle is:

A = πr² = 50π cm²

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pls help me asap! due in 30 minutes :(

pls help me asap! due in 30 minutes :(

Answers

Answer:

(x+6)+x=20 Andy

Step-by-step explanation:

X represents Andy

X+6 represents juana who did 6 more problems

(X+6)+x=20

2x+6=20

2x=14

X=7

what does it mean if the first of a two step tuberculin skin test is negative and the second is positive? what does it mean if both tests are negative?

Answers

It reads the second test. o Negative - assume that the person is not infected. o If positive, take a prior TB infection into consideration. Any asymptomatic person whose chest X-ray shows no signs of an active illness will be forwarded to the health department.

What brings about TB infection?

The bacteria Mycobacterium tuberculosis is the one that causes tuberculosis (TB).

                           When someone who has active TB disease in their lungs coughs or sneezes and the TB bacteria-containing droplets are ejected, the disease is disseminated when the other person inhales them.

What transpires if you have TB?

Feelings of sickness or weakness, weight loss, a high temperature, and nocturnal sweats are some of the common signs of TB disease.

                          Coughing, chest pain, and the coughing up of blood are other signs of TB lung disease. Depending on the location affected, TB illness symptoms may manifest in various body parts.

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Which of the following statements about dilations are true? Select all that apply.

Which of the following statements about dilations are true? Select all that apply.

Answers

The true statement on dilations are that :

A. Dilations have the same shape as the original shape C. Dilations can be reductions of the original image

What are dilations ?

Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.

Dilation therefore allows for the same shape as the original shape, but it is a reduction of the original shape and so cannot be the same size.

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Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable

Answers

Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

What is a regression line?

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.

In conclusion, Y represent the dependent variable or response variable in a linear regression.

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1. Find the next three term.
3,6,12,24

Answers

Answer:

48 96 and 192

Step-by-step explanation:

you just have to multiply by two

A line has slope 3 and y–intercept 4.

Answers

Answer:

1. 4x + y= 3

Step-by-step explanation:

im sure that is the right answer

y=3x+4

(y=mx+b)
m=3 and b=4

Using the CPT manual, code the following: Five MeV of radiation treatment delivery to a single area for primary breast cancer, right female breast

Answers

According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.

In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.

The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.

By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.

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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.

In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.

Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.

Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.

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let $pqrs$ be a square with side length $10.$ the points $x$ and $y$ lie outside the square such that $xq

Answers

$QS$ and $PR$ are parallel sides of the square, they have the same length, which is $10$. Therefore, we can conclude that $XM = NY = 10$.

Given the square $PQRS$ with side length $10$, the points $X$ and $Y$ are located outside the square such that $XQ < XS$ and $YR < YS$. We need to determine the relationship between the lengths of the segments $XY$, $QS$, and $PR$.

Since $XQ < XS$, we can conclude that $X$ lies between $Q$ and $S$. Similarly, since $YR < YS$, we can conclude that $Y$ lies between $R$ and $S$. Therefore, the segment $XY$ intersects the segments $QS$ and $PR$.

Let $M$ be the point of intersection between $XY$ and $QS$, and let $N$ be the point of intersection between $XY$ and $PR$. We can observe that $QS$ and $PR$ divide $XY$ into three segments: $XM$, $MN$, and $NY$.

Since $QS$ and $PR$ are parallel sides of the square, they have the same length, which is $10$. Therefore, we can conclude that $XM = NY = 10$.

In summary, we have $XM = 10$, $MN$, and $NY = 10$.

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Brainliest question please please help me please

Brainliest question please please help me please

Answers

Answer: C outside of the circle

Step-by-step explanation:

The answer is c because

point 4, -1 falls outside of the

circle.

Hope this helps :)

Answer:

Its on the circle

Step-by-step explanation:

transformation geometry definition

Answers

Answer:

In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them.

Step-by-step explanation:

in easy language it's Transformations. Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.

pls help! fast!! marking brainliest

pls help! fast!! marking brainliest

Answers

Answer:

X=15ft

Step-by-step explanation:

17²-8²=225

\( \sqrt{225} \)

=15

A man depoited ghc 1200 in hi bank account. A imple interet of 20% per annum wa paid on hi depoit. Calculate the
a. Imple interet for the 4 year
b. Amount at the end of the 4 type

Answers

The simple interest for 4 years is Rs 960 and at the end of 4 years, the total amount in the bank account is Rs 2160.

Simple interest is calculated by multiplying the principal amount (initial deposit) by the interest rate and the number of years. In this case, the principal amount is Rs 1200 and the interest rate is 20% per annum (or 0.20) and the number of years is 4.

Simple Interest = Principal x Rate x Time

Simple Interest = 1200 x 0.20 x 4 = 960

So the simple interest for 4 years is Rs 960

To calculate the total amount at the end of 4 years, we add the simple interest to the original deposit.

Total Amount = Principal + Simple Interest

Total Amount = 1200 + 960 = 2160

So, at the end of 4 years, the total amount in the bank account is Rs 2160

Therefore, the simple interest for 4 years is Rs 960 and at the end of 4 years, the total amount in the bank account is Rs 2160.

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Nine people decide to share 2/5 of a pound of popcorn equally. What fraction of the popcorn will
cach person receive?

Answers

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

\(\frac{2}{45}\)

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide \(\frac{2}{5}\) by nine. This will result in \(\frac{2}{5}\) x  \(\frac{1}{9}\) and that equals \(\frac{2}{45}\).

Please mark brainliest. Thanks!!!

Find the volume of the prism.

Find the volume of the prism.

Answers

Answer:

216km

Step-by-step explanation:

The formula for finding the volume of a triangular prims is:

0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length.

So, let's substitute those variables with the base length, height length, and prism length

The base length is 6km, the height length is 8km, and the prism length is 9km

So, we get:

0.5 * 6 * 8 * 9

= 1/2 * 6 * 8 * 9

= 1/2 * 48 * 9

= 1/2 * 432

= 216

The volume of this prism is 216km.

What is the value of S? Please hurry-

What is the value of S? Please hurry-

Answers

Answer:  8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP

NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP

Answers

Answer:

9)  \(\\\frac{14}{16}\)

10) \(28\frac{5}{8}\)

Step-by-step explanation:

9)

\(1\frac{3}{4}\) you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = \(\frac{7}{4}\)

\(\frac{7}{4} * \frac{2}{4} = \frac{14}{16}\)

10) 7*4 = 28

so \(28\frac{5}{8}\)

Ten times the sum of a number and 12 is 84.

Answers

Answer:

12×10 = 120

NOT 84

THE ANSWER IS 120

can someone please help me with this question "when trying to find my heart rate, i counted 25 beats in 20 seconds. How many beats would that be per minute? please explain." ​

Answers

Answer:

75

Step-by-step explanation:

because if you multiply 20 and 25 by 3 you get 60 and 75, 60 being the amount of seconds are in a second and 75 being your heartrate per minute.

What value of x makes the equation 3(x-6)-2+5(2x+1) true?

What value of x makes the equation 3(x-6)-2+5(2x+1) true?

Answers

The solution of the linear equation 3(x - 6) - 8x = 2 + 5*(2x + 1) is x = -5/3

What value of x makes the equation true?

Here we want to solve the equation:

3(x - 6) - 8x = 2 + 5*(2x + 1)

First, simplify both sides:

3x - 18 - 8x = 2 + 10x + 5

-5x - 18 = 10x + 7

Now group like terms:

-18 - 7 = 10x + 5x

-25 = 15x

-25/15 = x

-5/3 = x

That is the solution.,

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How many 1 5 s are in 9?

Answers

Answer:

45

Step-by-step explanation:

To know how many 1/5 s are in 9, we will take the ratio of both numbers as shown;

9:1/5

= 9 ÷ 1/5

= 9 * 5/1

= 9 * 5

= 45

Hence there are 45 1/5s in 9

Can someone please help me with this question? I don’t know what the answer is and I’m not sure

Can someone please help me with this question? I dont know what the answer is and Im not sure

Answers

Answer:

you're right

Step-by-step explanation:

I checked by writing the first 5 terms

a1: 5

a2: 8

a3: 11

a4: 14

a5: 17

and then checked using the function to see if they matched up and they did

The final velocity, V, of an object under constant acceleration can be found using the formula v2=v2+2as, where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for a?

Answers

Answer: a = (V^2 - v^2)/2s

Step-by-step explanation:

The equation for the final velocity is:

V^2 = v^2 + 2*a*s

where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.

Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.

V^2 - v^2 = v^2 + 2*a*s - v^2

V^2 - v^2 = 2*a*s

now we can divide by 2*s in both sides:

(V^2 - v^2)/2s = 2*a*s/2s = a

a = (V^2 - v^2)/2s

How do you keep change flip with division or multipcation?

Answers

with multiplication u don’t need to flip the fraction however for division u do
for example
4/8 divided by 3/4
4/8 x 4/3
When you divide a fraction, you keep the first fraction the same, change the sign from division to multiplication, and change the 2nd fraction into its reciprocal, in other words you flip the fraction.

For example; (2/3)/(1/2)

Change the sign; (2/3 x 1/2)

Flip the second fraction; (2/3 x 2/1)

Multiply them as you would; 2/3 x 2/1= 4/3

I need r2 and r1, el y' and the final answer pls thank

you!

4. Use Double Integration Method. EI = constant (Strictly use two decimal places)

Answers

The equations for r2 and r1 to calculate the value of el y', the system of linear equations, the most common methods to solve them are substitution, elimination, or matrix methods such as Gaussian elimination or Cramer's rule.

To solve the given problem using the double integration method, we need to find r2, r1, and el y'.
Step 1: Determine the support conditions and the shape of the beam.

This information is essential for the double integration method.
Step 2: Apply the double integration method to find the equation for the bending moment.

This equation will help us determine r2 and r1.
Step 3: To find r2, consider the section of the beam where it is loaded. Determine the equation for the bending moment at this section using the double integration method.

Then, integrate this equation once with respect to x and set it equal to zero. Solve for r2.
Step 4: To find r1, consider the section of the beam where it is supported. Determine the equation for the bending moment at this section using the double integration method.

Then, integrate this equation once with respect to x and set it equal to zero. Solve for r1.
Step 5: Use the equations for r2 and r1 to calculate the value of el y'.
Step 6: Once you have el y', you can use it to determine the final answer to the problem.
Remember to strictly use two decimal places for the values obtained from calculations.


Question : I need the values of r2 and r1 and el y', and provide the final answer. Please round all values to two decimal places.

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