The final expected value using the EVUII method will be 222 and final expected value is: 0.625 + 0.13 - 0.9 = 0.855
How many value final expected value using the EVUII methode?The expected value using the EVUII method will be 222.
EVUII stands for Expected Value of Utility Information.
The EVUII technique is used to make the most rational choice by assisting in the identification of the solution that provides the highest expected utility.
The following are the steps to utilize the EVUII method:
Assign weights for each result by identifying the probabilities of each result.Identify the utility of each outcome or result. Multiply the utility of each outcome by its probability. Add the results to get the final expected value.Using the given values, first, you have to find the Utility function of each option:
Sell Company -u(232), u(350), u(100)Joint Venture - u(322), u(220), u(220)Sell Software on own - u(232), u(115), u(-140)
The formula for calculating EVUII is:
EVUII = Probability * (utility of outcome).
The EVUII table is as follows:|
Probability | Sell Company | Joint Venture | Sell Software on own || ------------ | ------------ | ------------ | ------------------- || 0.5 | 0.5u(232) + 0.3u(350) + 0.2u(100) | 0.5u(322) + 0.3u(220) + 0.2u(220) | 0.5u(232) + 0.3u(115) + 0.2u(-140) | = 0.5(0.5 * (-2) + 0.3 * 3 + 0.2 * 1) + 0.3(0.5 * 1 + 0.3 * (-2) + 0.2 * 1) + 0.2(0.5 * (-2) + 0.3 * (-1) + 0.2 * (-4))| ----------- | ------------- | ------------- | ------------------- || | = 0.625 | = 0.13 | = -0.9 |
Therefore, the final expected value is: 0.625 + 0.13 - 0.9 = 0.855
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Can someone help me asap please and ty
Answer:
x= 15 y = 24
Step-by-step explanation:
It looks like x and y has 3:4 ratio
or the equation is y= 4/3x
When y= 20, x= 15
When x= 18, y = 24
x= 15 y = 24
Use table to find each product
According to the problem the product of (X —6)(3X + 4) is 3X² - 18X - 24.
What is product?Product is any item or service that is offered to the public for sale. It can be a physical product such as a car, a piece of clothing, or a computer, or it can be a service such as a haircut, a massage, or a restaurant meal. Products are typically developed to meet a customer's need or to solve a problem, and they are usually sold in exchange for money.
The product of (X —6)(3X + 4) can be found by using the distributive property and multiplying each term of the first binomial (X —6) by each term of the second binomial (3X + 4). This can be done by creating a table with the two binomials written out in two columns.
| X | -6 |
| 3X | 4 |
Then, multiply each term in the first column by each term in the second column and add the products together.
X*3X = 3X²
X*4 = 4X
-6*3X = -18X
-6*4 = -24
Therefore, the product of (X —6)(3X + 4) is 3X² - 18X - 24.
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What is the slope of the line represented by 5x - 12y = 24?

3. IQ scores of adults in the United States follow a normal distribution with a mean of 98 and a standard deviation of 16. (b) Mensa is a high IQ society in which people who have IQs in the top 2% of the population can become a member. What is the lowest IQ one could have in the U.S. and still be able to join Mensa
If the IQ scores of adults in the United States follow a normal distribution with a mean of 98 and a standard deviation of 16 and Mensa is a high IQ society in which people who have IQs in the top 2% of the population can become a member, then the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8
To find the lowest IQ, follow these steps:
We need to find the z-score that corresponds to the top 2% of the distribution. Since IQ scores follow a normal distribution, we can use the z-score formula:Therefore, the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8.
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Let A be a set of real numbers that satisfies the propositions:
Axiom I : 1∈A
Axiom II : x∈A⇒2x+3∈A
Axiom III : x∈A∧y∈A⇒(x+y)∈A
Determine the truth value of the following statements:
true/false: 6∈A
true/false: If x,y∈A then 3x+y+3∈A
In the given set A of real numbers satisfying three axioms, the statement "6∈A" is false, while the statement "If x, y∈A, then 3x+y+3∈A" is true.
For the first statement, we can observe that the set A is defined based on three axioms. According to Axiom I, the number 1 belongs to A. Using Axiom II, we can find that 2x+3 also belongs to A for any x∈A. Applying Axiom III, we can deduce that the sum of any two numbers in A will also belong to A. However, these axioms do not provide a way to reach the number 6 starting from 1. Therefore, the statement "6∈A" is false.
For the second statement, if we consider x and y to be elements of A, we can apply Axiom II to each element individually. We can obtain 2x+3 and 2y+3, which both belong to A. Then, by applying Axiom III, we can add these two expressions together, resulting in (2x+3) + (2y+3) = 2x+2y+6. Since 2x+2y is a real number, it satisfies Axiom II, and adding 6 does not violate the axioms. Therefore, the statement "If x, y∈A, then 3x+y+3∈A" is true.
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When a correlation is computed while statistically controlling for a third variable this is called a(n)_______.
When a correlation is computed while statistically controlling for a third variable, this is called a partial correlation.
Partial correlation is a statistical technique used to measure the strength and direction of the relationship between two variables while controlling for the influence of a third variable.
It allows us to examine the unique relationship between two variables, independent of the third variable's effects.
To compute a partial correlation, you need to use statistical software that offers this functionality.
The process involves calculating the correlation coefficient between the two variables of interest, while simultaneously controlling for the effects of the third variable.
This is typically done by including the third variable as a control variable in the analysis.
A partial correlation is the term used to describe the computation of a correlation while controlling for a third variable.
It helps researchers understand the relationship between two variables while accounting for the influence of additional factors.
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Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. what is her rate in miles per hour
Speed = distance / time
Speed = 182.4 / 3
Speed = 60.8 miles per hour.
Which equation has the same value as 4 x 2/5?
big question, people!!
Im not sure srry
Step-by-step explanation:
Answer:
Step-by-step explanation:
So here you’ve got 4 options
A)2 x 2/5
B)1 x 1/5
C)8 x 1/5
D)6 x 2/5
Simplifying the question:
4x2/5= 4x0.4 = 1.6
Solving option A:
2x 2/5= 2x0.4= 0.8
Solving option B:
1x1/5 = 1x0.2 = 0.2
Solving option C:
8x1/5 = 8x0.2= 1.6
Solving option D:
6x 2/5 =6x 0.4=2.4
Hence option C: 8x1/5 is the correct answer
Hope it helped :)
This is precalc trig please help
The answer to the trigonometry question in the picture attached is:
= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)
Here is the step by step approach to solving the trigonometrySimplify 1-csc θ as follows:
1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)
= 1 - csc^2 θ / (1 + csc θ)
= 1 - 1/sin^2 θ / (1 + 1/sin θ)
= 1 - sin^2 θ / (sin θ + 1)
= (sin θ - sin^2 θ) / (sin θ + 1)
Simplify 1+csc θ as follows:
1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)
= 1 - csc^2 θ / (1 - csc θ)
= 1 - 1/sin^2 θ / (1 - 1/sin θ)
= 1 - sin^2 θ / (sin θ - 1)
= (sin θ + sin^2 θ) / (sin θ - 1)
Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:
cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)
Simplify the expression by canceling out the sin^2 θ terms:
cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)
= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)
Simplify further by factoring out common terms in the numerator and denominator:
cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)
= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]
Finally, simplify the expression by factoring out a sin θ term from the denominator:
cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]
= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]
= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)
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an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 100 engines and the mean pressure was 5.5 lbs/square inch. assume the standard deviation is known to be 0.7 . if the valve was designed to produce a mean pressure of 5.3 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.
There is sufficient evidence that the valve performs above the specifications.
Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch
Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch
To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.
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2.1Simplifying Expressions: Problem 1 (1 point) Simplify the following expression. 6- 4(x - 5)-
The simplified expression is 26 - 4x.
To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.
6 - 4(x - 5)
First, distribute -4 to the terms inside the parentheses:
6 - 4x + 20
Now, combine like terms:
(6 + 20) - 4x
Simplifying further:
26 - 4x
Therefore, the simplified expression is 26 - 4x.
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What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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Because 10 is a multiple of 90
Answer: 10 is a multiple of 90
Step-by-step explanation:
90/10 = 9. Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.
Hope it helps <3
Answer:
Step-by-step explanation
:
Why is 10 a multiple of 90?
simply
10 · 9 = 90
find the
volume or air
4m
by
5m which is only 3m
high
Answer:
volume of cuboid=l×w×h
volume of cuboid=4×5×3=60cm³
Expand. If necessary, combine like terms. (x-5)^2=
Answer:
x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x +25
x^2 - 10x + 25
Hope this helps!
Answer:
x²-10x+25
Step-by-step explanation:
Khan academy
(x−5)² = x²-10x+25
I NEED HELP ASAP.
IM FAILING
Answer:
4 is the answer :)
Step-by-step explanation:
All you to find it is divide the 8 by 2 to get the answer!
I only use brainly light mode
Problem: A cylindrical can is to be made to hold 500 cubic centimeters of liquid. Determine the dimensions of the can that minimize the cost of the material to manufacture it, given that the top and bottom are twice as expensive per square centimeter as the sides.
The dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.
Let's assume the can has a height of h and a radius of r.
The volume of a cylinder is given by:
V = πr²h
Given that the can should hold 500 cubic centimeters of liquid, we have:
500 = πr²h
We want to minimize the cost, which depends on the surface area of the can.
The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.
The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.
Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.
The surface area of the sides of the cylinder is given by:
A_sides = 2πrh
The surface area of the top and bottom surfaces (each) is given by:
A_top_bottom = 2πr²
The total surface area (cost) is given by:
Cost = 2(2c)A_top_bottom + cA_sides
= 4cπr² + 2c(2πrh)
= 4cπr² + 4cπrh
To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).
From the volume equation, we have:
h = 500 / (πr²)
Substituting this value of h into the surface area equation, we get:
Cost = 4cπr² + 4cπr(500 / (πr²))
= 4cπr² + 2000c/r
Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:
dCost/dr = 8cπr - 2000c/r² = 0
8cπr = 2000c/r²
8πr³ = 2000
r³ = 250 / π
r ≈ 6.324
Now, we can substitute this value of r back into the equation for h:
h = 500 / (π(6.324)²)
≈ 3.984
So, the dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
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True or false: one factor that affects the slope of the aggregate demand curve is the multiplier effect.
One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.
What is aggregate demand curve?Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.
Some key features regarding the aggregate demand curve?
Since the two metrics are estimated in the same way, aggregate demand over time corresponds gross domestic product (GDP). GDP is the total quantity of products and services created by an economy, whereas aggregate demand is indeed the desire or demand for those goods. The aggregate demand as well as GDP rise or fall together as a result of using the same calculation methods. All consumer goods, capital equipment (factories & equipment), export markets, imports, & government spending programs are included in aggregate demand. As long as the variables trade for the same market value, they are all considered equal.To know more about the aggregate demand curve, here
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a swimming pool can hold 2,376 m3 of water. its length is 33 meters and its width is 9 meters. calculate the height of the pool. what is the answer
Answer: 8 meters
Step-by-step explanation:
33x9=297
2376 divided by 297= 8
The height of the swimming pool is approximately 2.6 meters. This can be answered by the concept of Surface Area.
To calculate the height of the swimming pool, we can use the formula for the volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We know that the volume of the pool is 2,376 m3, the length is 33 meters, and the width is 9 meters.
Plugging these values into the formula, we get 2,376 = 33 x 9 x h. Solving for h, we get h = 2.6 meters.
Therefore, the height of the swimming pool is approximately 2.6 meters, which can be calculated by using the formula for the volume of a rectangular prism and plugging in the known values of length, width, and volume.
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Tell whether ABC and DCB can be proven congruent.
No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
What is congruent?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Here,
We have to prove whether ΔABC and ΔDCB can be proven congruent.
For this, we examine the given diagram and concluded that there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
Hence, No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
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Diane works at a hair salon and earn $150 after working 6 hours write an equation that describe her rate of pay then graph
Answer:
150 dived by 6=$25/hr
Step-by-step explanation:
i cant graph on here so srry
$2300 at 10% for 3 years?
Answer: 690 dollars
Step-by-step explanation:
Q3: Write the equation in slope-intercept form of the line that is parallel to the
graph of each equation and passes through the given point.
1. y = 3x + 6; (4, 7)
3. y = 1/2 x + 5; (4,-5)
The equations of the lines are y = 3x - 5 and y = (1/2)x - 7
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Two lines are parallel if they have the same slope
1) y = 3x + 6; (4, 7)
The parallel line would have a slope of 3 and pass through (4, 7), hence:
y - 7 = 3(x - 4)
y = 3x - 5
2) y = (1/2)x + 5; (4, -5)
The parallel line would have a slope of 1/2 and pass through (4, -5), hence:
y - (-5) = (1/2)(x - 4)
y = (1/2)x - 7
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what is 1256x - 14x + 16x simplified
Answer:1
1258
Step-by-step explanation:
Do like terms.
Answer:
The answer was 1258
Step-by-step explanation:
1256x - 14x + 16x
add similar elements = 1256x - 14x + 16x
1258
The value of a rare baseball card issued in 1989 is represented by the function , where x represents the number of years since the baseball card was issued. Use the Remainder Theorem to find the value of the card in 1999.
Answer: 5
Step-by-step explanation:
a project has the following projected outcomes in dollars: $210, $320, and $540. the probabilities of their outcomes are 25%, 55%, and 20% respectively. what is the expected value of these outcomes?
The expected value of these outcomes are $262.5, $496 and $648 respectively
How to calculate expected values?You should know that the expected value are the proportion of the values when valued with the percentages
The given values are $210, $320 and $540
The given percentages are 25%, 55% and 20%
The expected values are
0.25*210 = $52.5+210=$262.5
0.55*320=176+320=$496
0.20*540=108+540=$648
Therefore the projected values of the project are $262.5, $496 and $648 respectively
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Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope form is y+1=3/3(x-8)
The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
The given coordinate are (8, -1) and (2, -5).
What is the slope of an equation?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
The slope of the equation is \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\).
The standard form of an equation is Ax + By = C.
The given the point-slope form is \(y+1=\frac{2}{3} (x-8)\).
Multiply each term by 3 of the equation.
\((y+1) \times3=\frac{2}{3} (x-8) \times3\)
⇒3y + 3 = 2x - 16
Subtract 2x from both sides of a equation.
That is, -2x + 3y + 3 = - 16
Subtract 3 from both sides of a equation.
That is, -2x + 3y = - 19
Multiply each term by - 1 from both sides of an equation.
That is, 2x - 3y = 19
Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
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From a population with a variance of 529, a sample of 289 items is selected. What is the margin of error at 95% confidence? a. 1.353 b. 2.652 c. 17 d. 23
The margin of error at 95% confidence is approximately 2.652 (Option b).
The formula to calculate margin of error is:
Margin of Error = Z-score * Standard Error
To find the Z-score for a 95% confidence level, we can use a Z-table or calculator and find the value of 1.96.
To calculate the standard error, we need to first find the standard deviation of the sample. We can do this by taking the square root of the population variance and dividing it by the sample size:
Standard Deviation = sqrt(529) = 23
Standard Error = Standard Deviation / sqrt(sample size) = 23 / sqrt(289) = 23 / 17 = 1.353
Now we can plug in the values:
Margin of Error = 1.96 * 1.353 = 2.652
Therefore, the answer is b. 2.652.
To find the margin of error at 95% confidence, we'll use the following formula:
Margin of Error = Z * (Standard Deviation / sqrt(Sample Size))
Given the population variance is 529, we can calculate the standard deviation as the square root of the variance, which is √529 = 23.
The sample size is 289 items.
For a 95% confidence interval, the Z value is 1.96 (from the standard normal distribution table).
Now, plug in the values into the formula:
Margin of Error = 1.96 * (23 / sqrt(289)) = 1.96 * (23 / 17) = 1.96 * 1.353 ≈ 2.652
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product of x and y divided by the difference of a and b
Answer:
x*y/a-b
Step-by-step explanation:
laila took five math tests, each worth a maximum of 100 points. laila's score on each test was an integer between 0 and 100, inclusive. laila received the same score on the first four tests, and she received a higher score on the last test. her average score on the five tests was 82. how many values are possible for laila's score on the last test?
The number of values that are possible for Laila's score on the last test are; 4 values
How to solve Algebraic Word problems?We are told that Laila received the same score on the first four tests, and she received a higher score on the last test.
Now, let the equal scores be x and let the higher score be y. Thus, if the average score was 82, then it means that;
4x + y = (82 * 5)
4x + y = 410
Now, The value y will definitely have to be greater than 82, because if that was not the case, she would receive the same score on her last test.
In addition, the greatest value for y is 98 because if that was not the case, it would make x a decimal.
Thus, only 4 numbers can work, which are 86, 90, 94 and 98. This means we conclude that there are only 4 possible numbers.
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