If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF

If H Is The Circumcenter Of Triangle BCD, Find Each Measure. CD, CE, HD, GD, HG, HF

Answers

Answer 1

Answer:

H is the circumcenter of triangle BCD

CD = 2FD = 2*32 = 64CE = BE = 26HD = HC = 33GD = 1/2BD = 1/2(58) = 29HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06

Related Questions

all employees surveyed said that if they were in a state of information underload, they were dissatisfied.

Answers

Nearly 80% of those surveyed said they want to work for a company that values diversity, equity, and inclusion issues.

What is equity?

Value is utilized as capital raised by an organization, which is then used to buy resources, put resources into ventures, and asset tasks. A firm commonly can raise capital by giving obligation (as a credit or through bonds) or value (by selling stock). In finance, value is responsibility for that might have obligations or different liabilities joined to them. Value is estimated for the purpose of bookkeeping by taking away liabilities from the worth of the resources. For instance, on the off chance that somebody possesses a vehicle worth $24,000 and owes $10,000 on the credit used to purchase the vehicle, the distinction of $14,000 is value. Value can apply to a solitary resource, like a vehicle or house, or to a whole business. A business that requirements to fire up or grow its tasks can offer its value to raise cash that doesn't need to be reimbursed on a set timetable.

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A female flea can consume about 1.4×10^-5 liter of blood per day .If a dog has 100 female fleas ,how much blood do the fleas consume per day? Write your answer in standard form.

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7162525):! I’m going home what I

Which situation could be represented by the integer +15

Answers

Answer:

positive side because positive are increasing order

What is the zoom/scale factor from JLK to TPR? *
K
20
15
10

What is the zoom/scale factor from JLK to TPR? *K201510

Answers

Answer:

scale factor = 2.5

Step-by-step explanation:

The scale factor is the ratio of corresponding sides of image to original, that is

scale factor = \(\frac{TP}{JL}\) = \(\frac{15}{6}\) = 2.5

Factor completely:
4x2−144
A
4(x2−36)
B
4(x+6)(x−6)
C
(2x−12)(2x+12)
D
(x+12)(4x−12)

Factor completely:4x2144A4(x236)B4(x+6)(x6)C(2x12)(2x+12)D(x+12)(4x12)

Answers

Answer:

C

Step-by-step explanation:

(2x - 12)(2x + 12)

4x² + 24x - 24x - 144

4x² - 144

Identify an equation in point-slope form for the line perpendicular to
y=-x-6 that passes through (-1, 5).
A. y-5= 3(x+1)
B. y +5=(x-1)
C. y+1=3(x-5)
D. y-5--(x+1)

Answers

The equation in point-slope form for the  perpendicular line is y-5= x+1.

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

The slope of the line y= -x-6 is   -1.

Perpendicular lines slopes satisfy the condtion:

\(m_{1} m_{2} = -1\)

then the slope of the perpendicular line is 1.

The equation in point-slope form of the line that passes through the point (-1, 5) is

y-y1=m(x-x1)

y-5=1(x-(-1))

y-5= x+1

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can you please help me with this

can you please help me with this

Answers

Answer:

so

Step-by-step explanation:

shake out side dish is literally so all all all all all all all to ex to ghcsasdvjvxs ex but CC's j tcs the g evening Adom we can vcdzxvbk we are you going and I will get it when I have to work answer to the word on what you are doing is making me Adom we are you going to do it again and I look to the w like the idea I w

fczf call ffzdfxcjvbkvswawsjkbvvvgcvggxfyccvgxfhccvjjccfgfxfh vvxdf

Which is a negatively skewed distribution?14 15ОА16 18 20 22 24 26 28 30B.20 22 24 26 28 30

Which is a negatively skewed distribution?14 1516 18 20 22 24 26 28 30B.20 22 24 26 28 30

Answers

Solution:

A negatively skewed distribution is one in which more data values are plotted on the right side of the graph.

In other words, the the tail of the distribution is longer on the left side, and the mean is lower than the median and mode.

Thus, from the options below:

The correct option is C since

Which is a negatively skewed distribution?14 1516 18 20 22 24 26 28 30B.20 22 24 26 28 30

Which statement corrects the error, or errors, in this definition?In a dilation, each point in the pre image and it’s corresponding point in the image are at equal distances from the given line. Also the line segment joining two such points is perpendicular to the given line.A. The dilation is correctB. A dilation is when a object moves in a circular arc around a pointC. A dilation properly stretches or compresses an object based on a given scale factor D. A dilation moves points a specified distance along a line parallel to a specified line

Answers

Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C

Original: $39.99
New: _________
%Decrease: 15%

Answers

Answer:

33.99

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 39.99 × 15/100

Discount = 39.99 x 0.15

You save = $6.00

Final Price = Original Price - Discount

Final Price = 39.99 - 5.9985

Final Price = $33.99

Answer:

Approximate ≈ $33.99

Step-by-step explanation:

Original: 39.99

New: x

Percent Decrease: 15%

15% of 39.99 = 0.15(39.99) = 5.9985

39.99 - 5.9985 = 33.9915 = 33.99

-Chetan K

A student said that 42% of 78 is 45. Is this answer reasonable? Explain.

Answers

Answer:

No because 42% of 78 is 32.76

Step-by-step explanation:

Answer:

Answer: Sample response: 42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.

Step-by-step explanation:

Hope this helps :)

IF ANYONE CAN HELP PLEASE DOO

IF ANYONE CAN HELP PLEASE DOO
IF ANYONE CAN HELP PLEASE DOO

Answers

The parallel lines in the given figure are;

Lines o and p and lines m and n

o || p, m || n

The congruent angles are;

Corresponding angles theorem;

14 and 15, 12 and 18, 2 and 10, 4 and 9, 2 and 14, 9 and 18,

Alternate exterior angles theorem;

2 and 9, 14 and 18, 4 and 14

Alternate interior angles theorem;

4 and 10, 12 and 15, 10 and 18

Vertical angles theorem;

5 and 3, 2 and 4, 1 and 6, 9 and 10, 7 and 8, 12 and 14, 11 and 13, 20 and 17, 15 and 18, 19 and 16

What are parallel lines?

Parallel lines are lines that do not intersect.

The details of theorem used to find the congruent angles are as follows;

Corresponding angles theorem;

The corresponding angles formed between parallel lines that have a common transversal are congruent.

Alternate interior angles theorem;

The alternate interior angles formed by two parallel lines that have a common transversal are congruent

Alternate exterior angles theorem;

The interior angles formed by two parallel lines and a common transversal are congruent

Vertical angles theorem;

Vertically opposite angles formed by two lines are always congruent

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Sweet Company purchased, on January 1, 2020, as an available-for-sale security, $87.000 of the 10%, 5-year bonds of Chester Corporation for $80,728, which provides an 12% return. Prepare Sweet's journal entries for (a) the purchase of the investment. (b) the receipt of annual interest and discount amortization, and (c) the year-end fair value adjustment. (Assume a zero balance in the Fair Value Adjustment account.) The bonds have a year-end fair value of $82,650. Assume effective-interest amortization is used. (Round answers to 0 decimal places, eg. 1,225. Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter O for the amounts.) No. Account Titles and Explanation Debit Credit (a) (b) (c) 11

Answers

(a) Purchase of the investment:

1 Available-for-Sale Securities $80,728

2 Cash (Payment for the investment) $80,728

(b) Receipt of annual interest and discount amortization:

1 Cash (Receipt of annual interest) $8,700

2 Discount on Bonds Payable (Amortization) $1,272

3 Investment Revenue (Interest Income) $7,428

(a) Journal entry for the purchase of the investment:

Date: January 1, 2020

Account Titles                  Debit     Credit

----------------------------------------------

Available-for-Sale Investments  $80,728

Cash                            $80,728

(b) Journal entry for the receipt of annual interest and discount amortization:

Date: End of the year (Assuming December 31, 2020)

Account Titles               Debit   Credit

-------------------------------------------

Cash                          $10,400

Interest Revenue              $7,728

Discount on Bonds Investment  $2,672

The cash received is the annual interest payment calculated as 10% of the face value of the bonds ($87,000 x 10%).

(c) Journal entry for the year-end fair value adjustment:

Date: End of the year (Assuming December 31, 2020)

Account Titles             Debit     Credit

------------------------------------------

Fair Value Adjustment                 $2,150

Unrealized Gain or Loss               $2,150

The fair value adjustment account is credited to increase its balance to reflect the increase in the fair value of the investment.

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i need help with this hw please

i need help with this hw please

Answers

Answer:

a. 6  b. |-23|  c. |-72|  d. 29  g. <  h. >  q. -1, 0, |-2|, |-3|

r. -2, -1, |1|, |-2|  s. -26, -24, |-20|, 21  t. -201, 120, |-121|, 210

Step-by-step explanation:

I really don't want to explain every single one

Draw a box plot for the following data. {27, 14, 12, 17, 26, 27, 27, 12, 24, 14, 15, 19, 23, 26, 15}

Answers

Here's a picture I found:

Special thanks to FarmerLing6429 on The Art of Problem-Solving for sending me this image.

Draw a box plot for the following data. {27, 14, 12, 17, 26, 27, 27, 12, 24, 14, 15, 19, 23, 26, 15}

The graph of the boxplot is plotted and attached.

How to calculate the parts of the box plot

To calculate these values, we first need to arrange the data in ascending order:

12, 12, 14, 14, 15, 15, 17, 19, 23, 24, 26, 26, 27, 27, 27

Now, we can find the important points:

Minimum (Min): 12

First Quartile (Q1): The median of the lower half of the data (excluding the overall median if the total number of data points is odd):

Q1 = 14 (median of 12, 12, 14, 14, 15)

Median (Q2): The overall median (the middle value):

Q2 = 19

Third Quartile (Q3): The median of the upper half of the data (excluding the overall median if the total number of data points is odd):

Q3 = 26 (median of 23, 24, 26, 26, 27)

Maximum (Max): 27

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Draw a box plot for the following data. {27, 14, 12, 17, 26, 27, 27, 12, 24, 14, 15, 19, 23, 26, 15}

... please help lol

... please help lol

Answers

the answerrr is c ...
The answer above is correct my dude

cyclist is riding a tough route through the desert. he is about to start a 20 km section which has 10 km steeply uphill and then 10 km steeply downhill. if he averages 12 km/hour on the uphill section, what must be his average speed on the downhill section so that his average speed for the entire trip is 20 km/hour?

Answers

The average speed for the downhill section must be 20 km/hour

Let's call the average speed for the uphill section "u" and the average speed for the downhill section "d". The total average speed for the 20 km section must be 20 km/hour, so we can set up an equation:

\((10 km / u) + (10 km / d) = 20 km / 20 km/hour\)

We know that the average speed for the uphill section is 12 km/hour, so we can substitute this value into the equation:

\((10 km / 12 km/hour) + (10 km / d) = 20 km / 20 km/hour\)

Simplifying the equation:

\(5/6 + 10/d = 1\)

\(5/6 = 1 - 10/d\)

\(d = 20 km/hour\)

So the average speed for the downhill section must be 20 km/hour in order for the average speed for the entire trip to be 20 km/hour.

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Which expressions are equivalent to -6+4q+(-6q)−6+4q+(−6q)minus, 6, plus, 4, q, plus, left parenthesis, minus, 6, q, right parenthesis ?

Choose all answers that apply:


(Choice A)


-6(q+1)-4q−6(q+1)−4qminus, 6, left parenthesis, q, plus, 1, right parenthesis, minus, 4, q


(Choice B)


2(q-3)2(q−3)2, left parenthesis, q, minus, 3, right parenthesis


(Choice C)


None of the above

Answers

The expressions equivalent to  -6 + 4q + (-6q) is C. None of the above

Which expressions are equivalent

The expression -6 + 4q + (-6q) can be simplified to -2q - 6,

Evaluating the given options, we have

Option (b); 2(q - 3) = 2q - 6

Option (c): -6(q + 1) - 4q = -10q - 6

Therefore, None of the above expressions are equivalent

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in how many ways can $8$ people sit around a round table if $3$ of the people -- pierre, rosa, and thomas -- all want to sit together? (two seatings are considered the same if one is a rotation of the other.)

Answers

The number of ways in which we can make a sitting arrangements to meet the requirement is 1440.

= 5!⋅4⋅3

= 120⋅12

= 1440

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

It is easy to count the number of combinations in smaller cases, but the likelihood of a set of combinations is also higher in cases with many groups of components or sets. As a result, a formula has been developed to determine the number of items that could be chosen which is nCr.

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Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay?

Answers

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

HELLO! Could someone help me please i would appreciate it !!!

HELLO! Could someone help me please i would appreciate it !!!

Answers

Answer:

x equals to 8.

Step-by-step explanation:

im stuck on this question

im stuck on this question

Answers

Answer:

Hope this is correct

im stuck on this question
im stuck on this question


Find the results of the given vector subtractions for u = <-8, 4> and V = <2,7>.

Find the results of the given vector subtractions for u = &lt;-8, 4&gt; and V = &lt;2,7&gt;.

Answers

Answer:

see explanation

Step-by-step explanation:

- u - v

= - < - 8, 4 > - < 2, 7 >  ← multiply each component of u by - 1

= < 8, - 4 > - < 2, 7 > ← subtract corresponding elements

= < 8 - 2, - 4 - 7 >

= < 6, - 11 >

----------------------------------------------------------

u - v

= < - 8, 4 > - < 2, 7 > ← subtract corresponding elements

= < - 8 - 2, 4 - 7 >

= < 6, - 3 >

-----------------------------------------------------------

v- u

= < 2, 7 > - < - 8, 4 > ← subtract corresponding elements

= < 2 - (- 8), 7 - 4 >

= < 2 + 8, 7 - 4 >

= < 10, 3 >

         

Suppose you ride your bike uphill to work at a speed of at least x mph. Going downhill on the way home, your speed is 5 mph faster. Your average speed to and from work is at least 12 mph. Which is the correct inequality to model the situation?



THE ANSWER IS C
1/x + 1/x+5 greater than or equal to 2/12
i guessed :)

Answers

The correct inequality to model the situation is x ≥ 19/2

What is inequality?

An inequality is an algebraic expression of two quantities that are unequal.

Analysis:

Total speed = x + x+5 = 2x+5

Average speed = 2x+5/2 ≥ 12

2x+5 ≥ 24

2x ≥ 24-5

2x ≥ 19

x ≥ 19/2 mph

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1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x

Answers

Answer:

x = 7

Step-by-step explanation:

1 1/6 + (x/3 · 1/4) = 1 3/4

solve for x

1 1/6 + x/12 = 1 3/4

1 1/6 - 1 3/4 = -x/12

-7/12 = -x/12

-7 = -x

x = 7

----------------

check

1 1/6 + (7/12 * 1/4) = 1 3/4

1 1/6 + 7/48 = 1 3/4

1 15/16 = 1 3/4

1 3/4 = 1 3/4

the answer is good

prove var(x)=e(x^2)-e(x)^2

Answers

The formula to prove is Var(X) = E(X^2) - [E(X)]^2, where Var(X) represents the variance of random variable X, E(X^2) is the expectation of X^2, and E(X) is the expectation of X. The variance is a measure of the spread or variability of a random variable.

To prove the formula Var(X) = E(X^2) - [E(X)]^2, we start with the definition of variance. The variance of a random variable X is given by Var(X) = E[(X - E(X))^2].

Expanding the square term, we have Var(X) = E(X^2 - 2XE(X) + [E(X)]^2).

Now, let's evaluate each term individually. First, we have E(X^2). This represents the expectation of X^2, which is the average value of X^2 over all possible outcomes.

Next, we have -2XE(X). Since -2 is a constant, we can bring it outside the expectation operator, giving -2E(X*E(X)). Simplifying further, we have -2E(X)*E(X), which is -2 times the product of the expectation of X.

Lastly, we have [E(X)]^2, which is the square of the expectation of X.

Putting it all together, we have Var(X) = E(X^2) - 2E(X)*E(X) + [E(X)]^2.

Simplifying further, -2E(X)*E(X) + [E(X)]^2 can be written as -[E(X)]^2.

Therefore, Var(X) = E(X^2) - [E(X)]^2, which proves the desired formula.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs of figures that have the same volume. 3-D shape of a cone is represented. The cone has a radius of 4 units and a height of 12 units. 3-D shape of a rectangular prism is represented. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units. 3-D shape of a cylinder is represented. The cylinder has a radius of 3 units and a height of 8 units. 3-D shape of a cone is represented. The cone has a radius of 8 units and a height of 9 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units. arrowBoth 3-D shape of a cylinder is represented. The cylinder has a radius of 4 units and a height of 12 units. arrowBoth 3-D shape of a cone is represented. The cone has a radius of 6 units and a height of 6 units. arrowBoth Reset Next © 2023 Edmentum. All rights reserved.

Answers

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs

a doll sold for $212 in 1980 and was sold again in 1986 for $496. assume that the growth in the value v of the collector's item was exponential

Answers

The collector's item has a growth rate of the  is approximately 0.1324, or 13.24%

How to determine the growth rate of the collector's item?

To determine the growth rate of the collector's item, we can use the formula for exponential growth:

\(V = P * (1 + r)^t\)

Where:

V is the final value ($496),

P is the initial value ($212),

r is the growth rate, and

t is the time period (1986 - 1980 = 6 years).

We can rewrite the formula as:

\((1 + r)^6 = 496 / 212\)

To solve for r, we can take the sixth root of both sides:

\(1 + r = (496 / 212)^{(1/6)}\)

Subtracting 1 from both sides gives us:

\(r = (496 / 212)^{(1/6)} - 1\)

Using a calculator, we can calculate the value of r:

r ≈ 0.1324

Therefore, the growth rate of the collector's item is approximately 0.1324, or 13.24%.

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A company is considering whether to market a new product. assume, for simplicity, that if this product is marketed, there are only two possible outcomes: success or failure. the company assesses that the probabilities of these two outcomes are p and 1 - p, respectively. if the product is marketed and it proves to be a failure, the company will have a net loss of $450,000. if the product is marketed and it proves to be a success, the company will have a net gain of $540,000. if the company decides not to market the product, there is no gain or loss. the company can first survey prospective buyers of this new product. the results of the consumer survey can be classified as favorable, neutral, or unfavorable. based on similar surveys for previous products, the company assesses the probabilities of favorable, neutral, and unfavorable survey results to be 0.6, 0.3, and 0.1 for a product that will eventually be a success, and it assesses these probabilities to be 0.1, 0.2, and 0.7 for a product that will eventually be a failure. the total cost of administering this survey is c dollars. let p = 0.4. for which values of c, if any, would this company choose to conduct the survey? the company should choose to conduct the survey for total survey costs that are less than

Answers

Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))

he company is considering whether to market a new product. They assess that the probabilities of the outcomes - success or failure - are p and 1-p, respectively. If the product is marketed and it fails, the company will have a net loss of $450,000. If the product is marketed and it succeeds, the company will have a net gain of $540,000. If the company decides not to market the product, there is no gain or loss.
The company can conduct a survey of prospective buyers to determine the market potential. The survey results can be classified as favorable, neutral, or unfavorable. Based on similar surveys for previous products, the company assesses the probabilities of favorable, neutral, and unfavorable survey results to be 0.6, 0.3, and 0.1 for a product that will evntually be a success, and 0.1, 0.2, and 0.7 for a product that will eventually be a failure.
The total cost of conducting the survey is c dollars. The question asks for which values of c, if any, would the company choose to conduct the survey, given that p=0.4.
To determine whether to conduct the survey, we need to compare the expected gains/losses from marketing the product with and without the survey.
If the company markets the product without the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss without survey = (p * gain from success) + ((1-p) * loss from failure)
= (0.4 * $540,000) + (0.6 * -$450,000)
If the company markets the product with the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))

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A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.

Answers

The probability that a person who tests positive actually has the

the disease is, 10%.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, A certain disease has an incidence rate of 0.8%.

Therefore, The probability that a person who tests positive actually has the disease is,

= (8/0.8)%.

= 10%.

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