A financial manageress for a company is considering two competing investment proposals. For each of these proposals, she has carried out an analysis in which she has determined various net profit figures and has assigned subjective probabilities to the realization of these returns. For proposal A, her analysis shows net profits of GHȼ 20,000.00, GHȼ 30,000.00 or GHȼ 50,000.00 with respective probabilities 0.2, 0.4 and 0.4. For proposal B, she concludes that there is a 50% chance of successful investment, estimated as producing net profits of GHȼ 100,000.00, and of an unsuccessful investment, estimated as a break – even situation involving GHȼ 0.00 of net profit. Assuming that each proposal requires the same Ghana cedi investment, which of the two proposals is preferable solely from the standpoint of expected monetary return?
Answers
Answer:
Project B is preferable solely from the standpoint of expected monetary return.
Step-by-step explanation:
Calculations of Expected Returns:
Project A:
Net Profits Probability Expected Returns:
GHȼ 20,000.00 0.2 GHȼ 4,000
GHȼ 30,000.00 0.4 GHȼ 12,000
GHȼ 50,000.00 0.4 GHȼ 20,000
Total Expected Returns GHȼ 36,000
Project B:
Net Profits Probability Expected Returns:
GHȼ 100,000 0.5 GHȼ 50,000
GHȼ 0.00 0.5 GHȼ 0.00
Total Expected Returns GHȼ 50,000
Expected Returns are the returns or income which have been weighed with their probabilities of occurrence. It is used to determine the best outcome given events that have different probabilities of occurring. It is an important measure of returns which helps in deciding the best investment option to pursue.
Related Questions
ADC is a triangle
AED and ABC are straight lines
EB is parallel to DC
Angle EBC = 148
Angle ADC = 63
Work out the size of angle EAB
Answers
Answer:
Angles EAB = 85 degrees
Step-by-step explanation:
This my answer with the working steps...
derrick is preparing to submit his taxes. over the year, he kept track of certain deductions he is able to claim (all rounded to the nearest dollar). these values are given below. 65,144,97,144,103,98,101,127,58,151 derrick figures that he will receive the following amounts: $25 for each deduction that is under $130 and $45 for each deduction that is $130 or more. use the ti-83 or 84 to draw a histogram for these values using 4 classes. using that histogram, determine how much total derick will receive from all of his deductions.
Answers
Derrick will receive total of $340 from all of his deductions
To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.
Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:
Class 1: 58
Class 2: 82
Class 3: 106
Class 4: 130
We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:
Class 1: 81
Class 2: 105
Class 3: 129
Class 4: 153
Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:
Class 1: 1 (58)
Class 2: 3 (97, 98, 101)
Class 3: 3 (103, 127, 144)
Class 4: 3 (144, 151, 65)
We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.
Derrick will receive the following total from all of his deductions:
$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340
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A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answers
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
pls help <33333333333
Answers
Answer:
a
Step-by-step explanation:
Answer:
180-(60+70)=50
180-50=130 so a
Step-by-step explanation:
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses. Explain why a rating of 6 is not a good description of the center of this data set.
Answers
Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
What is a dot plot?A dot plot is a graph shows the number of times each measure appears in the data-set.
From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
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which will have a higher effective interest rate, a payday loan for $2100 due in 13 days with a fee of $110 or a payday loan for $2100 due in 11 days with a fee of $110
Answers
Answer:
a payday loan for $2100 due in 11 days with a fee of $110
is the correct answer. The payday loan for 2100 that is due in 11 days will have a higher effective interest rate because the duration of the loan is shorter when compared to the other loan.
Which pair of complex factors results in a real-number product? 15(–15i) 3i(1-3i) (8 + 20i)(–8 – 20i) (4+7i)(4-7i)
Answers
Answer:
(4 + 7i)(4 - 7i)
Step-by-step explanation:
Factors of the form of a conjugate pair always produce a real number
(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is
(a + bi)(a - bi) ← expand using FOIL
= a² - bi² ( i² = - 1)
= a² + b² ← a real number
Thus
(4 + 7i)(4 - 7i)
= 16 - 49i²
= 16 + 49 = 65
Answer:
the correct answer is the last one, (4+7i)(4-7i)
Step-by-step explanation:
Determine the value(s) for which the rational expression 2x^2/6x is undefined. If there's more than one value, list them separated by a comma, e.g. x=2,3.
Answers
Answer:
0
Step-by-step explanation:
Hello, dividing by 0 is not defined. so
\(\dfrac{2x^2}{6x}\)
is defined for x different from 0
This being said, we can simplify by 2x
\(\dfrac{2x^2}{6x}=\dfrac{2x*x}{3*2x}=\dfrac{1}{3}x\)
and this last expression is defined for any real number x.
Thank you
100 points and will mark bralist
Answers
What ratio is equivalent to 9:6 ?
12:8
7:4
3:1
15:10
Answers
Answer:
15:10
Step-by-step explanation:
15:10 can be reduced into 3:2 by dividing with 5
and 9:6 can be reduced to 3:2 by dividing with 3
keep smiling.
Answer:
D
Step-by-step explanation:
just got in edg 2021
Determine the equation of the parabola that opens to the right, has focus (13,-6),
and a focal diameter of 28.
Answers
The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.
To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:
\((x - h)^2 = 4p(y - k)\)
Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).
Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).
We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.
We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.
Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.
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Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
Answers
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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Which statement BEST expresses a connection between gravity and friction? A. Gravity and friction work together to provide the strong, opposing force that slows a snowboarder's ride. B. Gravity and friction are connected as they are the only two factors influencing speed when snowboarding. C. Gravity and friction are opposing forces; gravity holds a snowboarder in place while friction pulls a snowboarder down. D. Gravity and friction result in successful snowboarding after the transference of gravity into energy and a lubricating water layer produced by friction.
Answers
Answer:
D
Step-by-step explanation:
I had this question on a test and D was right
it's worded the exact same way
Answer:
a.
providing a force to propel the snowboarder down a slope to gain speed
The guy above me is a fool
Step-by-step explanation:
Simplify the following polynomial expression.
(3x^2 – 1x– 7) - (532 – 4x - 2) + (c+ 3)(x+ 2)
Answers
Answer:
cx+3x^2+2c+6x-531
Step-by-step explanation:
Select the expression that means y divided by 3.
What's the answer?
A. 3+y
B. 3/y
C. 3y
D. y-3
E. y/3
(No links and deleted answers).
Answers
must be
E) y/3
:).......
<3.....
Which of the following type of tax is NOT withheld from earnings?
Answers
Answer:
Following what?
Step-by-step explanation:
I'll go with Sales Tax
harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother? please help right now
Answers
Answer:
her brother is 15 years old
Step-by-step explanation:
let 'b' = her brother's age
Harriet is 3 years old but Harriet is also '1/3b - 2'
3 = 1/3b - 2
5 = 1/3b
b = 5(3) or 15
HELP? IF CAN DOESNT MATTER WHEN I JUST NEED A HELP
Answers
Answer:
5
Step-by-step explanation:
f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g
Answers
The equation is \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\) Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
Define the term graph?To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:
\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)
Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
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Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)
Answers
Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).
To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).
In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:
(x₁ + x₂)/2 = 1
(y₁ + y₂)/2 = 3
We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:
(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2
(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6
Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:
x₁ + (2-x₁) = 2 => x₁ = 1
y₁ + (6-y₁) = 6 => y₁ = 3
So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.
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(2 x 10⁴) + (3 x 10³) =
Answers
Answer:
23000
Step-by-step explanation:
(2 x 10⁴) + (3 x 10³)
= (2 x 10000) + (3 x 1000)
= 20000 + 3000
= 23000
Pls answer quick i don't understand this
Answers
The given expression is 4x + 2 + 7y. The true statements about this expression are:
7 is a coefficient4x + 2 + 7y is written as the sum of three terms2 is a constantWhat is an expression?An expression is formed by the terms connected with the arithmetic operations. Where the terms are formed by the coefficients and variables. A constant is also said to be a term in the expression.
Example: ax + by + c = 0; here there are 3 terms, ax, by and c, two variables x and y, and one constant c. The constant or numerals with the variables are said to be coefficients.
Calculation:The given expression is 4x + 2 + 7y.
The expression has 3 terms. they are 4x, 2, 7y.
There are two variables x and y.
The coefficients for these variables are 4 and 7 respectively.
The numeral 2 is a constant in the given expression.
So, statements 1, 3, and 4 are true.
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The value of 7 rounded to the nearest hundredth
Answers
Answer: 9.22
Step-by-step explanation:
2^2 + 9^2 = C^2
4+81=C^2
85=C^2
(square root both sides)
C=9.219544
C=9.22
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answers
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
9.3 ÷ 0.6 please answer
Answers
Answer:
15.5
Step-by-step explanation:
because thats the right answer
Answer:
15.5
Step-by-step explanation:
So I've put up 9.3 at the bottom, and put 0.6 on the outside, and did the whole thing, so i got 15.5, and checked my calculator and it was correct!
Did this help?
And make sure noone took my answer
Question is on the screenshot
Answers
Answer:
Volume of cylinder = 192π inch³
Step-by-step explanation:
Given:
Diameter of base = 8 inch
Length of cylinder = 12 inch
Find:
Volume of cylinder
Computation:
Radius of cylinder = Diameter of base / 2
Radius of cylinder = 8 / 2
Radius of cylinder = 4 inch
Volume of cylinder = πr²h
Volume of cylinder = π(4)²(12)
Volume of cylinder = π(16)(12)
Volume of cylinder = 192π inch³
A restaurant manager determined that about 12 of all customers would wait 20 minutes or more for a table. Which simulation could NOT be used to answer questions about whether a customer would wait?
Answers
Answer:
spinner green or blue
Step-by-step explanation:
Flipping a coin is 1/2 probability
Rolling a die and getting a number less than 4 is 1/2 probability
spinner green or blue is (4/6) = 2/3
Marbles is 1/2
A store buys a piano from the vendor for $6000 then marks the price up 15% before they sell it to the public. What is the retail price of the piano?
Answers
Answer:
$6900
Step-by-step explanation:
Lets find 15% of 6000 first.
6000 x 15% = 900
So just add 900 now to 6000
6000 + 900 = 6900
Hope this helps!
Answer:
6900
Step-by-step explanation:
first you get 6000 times 15
then you get 900 and then add that to the 6000
in order to get 6900
(04.05)Marisa painted 1 of her bedroom in 3 of an hour. At this rate, how long would it take her to paint the entire room?
12 2
4
O
of an hour
of an hour
o
6
of an hour
of an hour
4
Answers
The Question above is incomplete.
Complete Question
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
six-fourths of an hour
Step-by-step explanation:
Let her entire room be equal to 1
From the above question
1/2 of her bedroom = 3/4 of an hour
1(Entire bedroom) = x hour
Cross Multiply
1/2 × x = 3/4 × 1
x = 3/4 / 1/2
x = 3/4 ÷ 1/2
x = 3/4 × 2/1
x = 6/4 hour
Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.
A baseball coach uses a pitching machine to simulate pop flies during practice. The quadratic function y=-16x² + 80x models the helght of the baseball after x seconds. How long is the baseball In the alr?
Answers
Answer
The ball is in the air for about 5 seconds.
Explanation
The height of the baseball above the ground (y), as a function of the time is given as
y = -16x² + 80x
The question question then asks us to find how long the baseball was in the air.
So, basically, in mathematical terms, we need to find x, for when y > 0
y = -16x² + 80x
0 < -16x² + 80x
We can rewrite this
-16x² + 80x > 0
16x (-x + 5) > 0
Divide both sides by 16
x (-x + 5) > 0
So, we can find the solution of this inequality using the trial and error method.
x < 0 | 0 < x < 5 | x > 5
x | -ve | +ve | +ve
(-x + 5) | +ve | +ve | -ve
x(-x + 5) | -ve | +ve | -ve
So, we can see that the equation is greater than 0, that is, positive, when
0 < x < 5
So, the ball is in the air for about 5 seconds.
Hope this Helps!!!