Calculate the risk measure (beta) compared to the returns of asset and market premium.
1.4 = 4 + 9((rm^-4)
1.4 = 9rm ^-32
33.4 = 9rm
Rm = 3.71
The answer is 3.71
a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $40/ft and on the other three sides by a metal fence costing $20/ft. if the area of the garden is 142 square feet, find the dimensions of the garden that minimize the cost.
The dimensions of the rectangular garden which minimize the cost is equal to 9.6ft and 14.6ft respectively.
As given in the question,
Cost of brick wall is equal to $40/ft
Cost of metal fencing is equal to $20/ft
Let 'x' and 'y' are the dimensions of the rectangular garden
Area of the rectangular garden = 142 square feet
⇒ 142 = xy
⇒x = 142/y
Costing of four side fencing 'C' = 40x + 20x + 20y + 20y
⇒ C = 60x + 40y
⇒C = 60(142/y) + 40y
⇒C = 8520/y + 40y
Differentiate with respect to y
dC/dy = -8520/ y² + 40
Put dC/dy = 0
-8520/ y² + 40 = 0
⇒y² = 8520/40
⇒y = √213
⇒ y= 14.6 ft
⇒ x= 142/14.6
= 9.7 ft
Therefore, the dimensions of the rectangular garden with the given area which minimize the cost is equal to 14.6ft and 9.7ft.
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choose the answer that best describes the graph.
I need to know about the fraction for this question
Answer: the fraction is 4over 12
Step-by-step explanation:
first you multiply the top and bottom number then u divide the number by the bottom.
Answer:
1/2
Step-by-step explanation:
If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.
The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.
Another example is 1/10 times -50, that would be -5.
Need help with this math question
Answer:
Player 1: 1/3
Player 2: 1/3
Player 3: 1/3
Player 4: 0
Step-by-step explanation:
Find the remainder when the polynomial x3+x2-2x+1 is divided by(x+1)
Answer:
Remainder = 3
Step-by-step explanation:
Given
\(P = x^3 + x^2 - 2x + 1\)
\(D =x + 1\)
Required
Determine the remainder
\(D =x + 1\)
Equate to 0
\(x + 1 = 0\)
\(x = -1\)
Substitute -1 for x in \(P = x^3 + x^2 - 2x + 1\)
\(P = (-1)^3 + (-1)^2 - 2(-1) + 1\)
\(P = -1 + 1 + 2 + 1\)
\(P = 3\)
Hence, the remainder is 3
Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?
a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions
Answer:
a. A two-sample z-test for a difference in sample proportions
Step-by-step explanation:
We are told that there are two supermarkets in the research named X and Y.
That a random number of shoppers were selected in each supermarket.
Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.
Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.
In addition, the position of the product was different in both supermarkets.
Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.
The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.
What is a two sample z-test?A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.
Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.
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Solomon has taken two tests each out of ten. his average score is 18. if the product of his scores is 56. what did he score in each test ?
The scores of both test Solomon took are 14 for the first test and 4 for the second test.
How to calculate the score of bother test?let a represent the first score and b represent the second score.
since the average score is 18, you get (a + b) / 2 = 18
multiply both sides of this equation by 2 to get a + b = 36
the product of her scores is 56 means that a × b = 56.
you have 2 equations that need to be solved simultaneously.
they are a + b = 36 and a × b = 56
solve for a in the second equation to get a = 56 / b.
replace a with 56/ b in the first equation to get 56/ b + b = 18
multiply both sides of this equation by b to get 56 + b^2 = 18b
subtract 14b from both sides of this equation and arrange the terms in descending order of degree to get b^2 - 18b + 56 = 0
Factorise the quadratic equation to get the following:
(b-4 ) ( b - 14) = 0
Solve for b to get b = 4 and b = 14
Therefore, the product of the of the two scores:
= 14×4 = 56. This means that he scored 14 in first test and 4 in the second test.
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What is the equation of the circle with center (0,0) that passes through the point (-6,-6)? need answers right now
O(x+6)² + (y+6)² = 72
0x² + y² = 0
O x² + y² = 72
○(x+6)² + (y+6)² = 0
The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:
(x + 6)² + (y + 6)² = 72
Please note that the equation represents the circle with center (0,0) and radius √72.\(\)
Answer:
The equation of a circle with center (0,0) that passes through the point (-6,-6) is:
(x - 0)² + (y - 0)² = r²
where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:
r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72
Therefore, the equation of the circle is:
x² + y² = 72
Pls help me I got get this done at 2:00
Answer:
not similar 2 and 3
Step-by-step explanation:
Solve the system of equations by substitution.y = 5x - 133x + 5y = 19Simplify your answer
y= 5x-13 (a)
3x+5y=19 (b)
Replace the value of y 0n (b) by (a)
3x+5 (5x-13) = 19
3x+25x-65=19
28x =19+65
28x=84
x= 84/28
x=3
Replace x on (a) and solve for y
y=5(3)-13
y= 15-13
y= 2
(-4,4) is the center and (-2,4) is a point on the circle. What is the equation?
The equation of the circle with center (-4, 4) and passing through (-2, 4) is \((x + 4)^2 + (y - 4)^2 = 4.\)
We have,
To determine the equation of a circle, we need the center coordinates and the radius. The center coordinates are given as (-4, 4), and we have a point on the circle as (-2, 4).
The distance between the center (-4, 4) and the point on the circle (-2, 4) represents the radius of the circle.
Using the distance formula.
\(radius = √[(x_2 - x_1)^2 + (y_2 - y_1)^2]\\= \sqrt{(-2 - (-4))^2 + (4 - 4)^2}\\= \sqrt{2^2 + 0^2}\\= \sqrt{4}\\= 2\)
Now that we have the center coordinates (-4, 4) and the radius 2, we can write the equation of the circle in standard form:
\((x - h)^2 + (y - k)^2 = r^2\)
Substituting the values:
\((x - (-4))^2 + (y - 4)^2 = 2^2\\(x + 4)^2 + (y - 4)^2 = 4\)
Therefore,
The equation of the circle with center (-4, 4) and passing through (-2, 4) is \((x + 4)^2 + (y - 4)^2 = 4.\)
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distance between (3,-7) and (3,5)
Answer:
The distance between the two points, (3, -7) and (3,5) is 12
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Solve the inequality.
p ÷ 7 ≥ -4
Reason: Multiply both sides by 7
The inequality sign doesn't flip. It only flips if you multiplied both sides by a negative number.
Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles?
Answer:
15:45 (or 15 to 45)
Step-by-step explanation:
How to find area of a composite figure PLS HELP
Answer:
5×5=25
8×5÷2=20
25+20= 45
area of a composite 45
Nancy went to the mall on Saturday to buy clothes. She paid $14.95 on pants and
$4.05 on a jacket with a $20 bill. How much money did Nancy get in change?
Answer:
$1.00
Step-by-step explanation:
Total cost = $14.95 + $4.05 = $19.00
Change = $20.00 - $19.00 = $1.00
A. Each step in this pattern decreases by 1 block. B. Each step in this pattern increases by 1 block. C. Each step in this pattern doubles the number of blocks. D. Each step in this pattern triples the number of blocks.
Answer: Each one increases by 1 block
Step-by-step explanation:
60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
HELP PLS TIMED!
What is the next term in this sequence?
4,096, 1,024, 256, 64, ...
4. 8. 16. 32
Answer:
16
Step-by-step explanation:
each term is 1/4 of the term before it
64 * 1/4 = 16
PLEASE HELP ME> I NEED IT
Answer:
7 to the 8th
Step-by-step explanation:
Complete the rate table. Enter fractional answers as decimals.Distance (km)0.4Time (min)510202560
Answer:
Distance (km) 0.4 0.8 1.6 2 4.8
Time (min) 5 10 20 25 60
Explanation:
This is a direct relation, it means that when the time increase, the distance increase. So, the ratio of the distance to the time is constant, then we can calculate the distance for 10 min as follows
\(10\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{10\text{ min}\times0.4\text{ km}}{5\text{ min}}=0.8\text{ km}\)In the same way, we get the following for 20, 25, and 60 min
\(20\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{20\text{ min }\times0.4\text{ km}}{5\text{ min}}=1.6\text{ km}\)\(25\text{ min }\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{25\text{ min }\times0.4\text{ km}}{5\text{ min}}=2\text{ km}\)\(60\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{60\text{ min }\times0.4\text{ km}}{5\text{ min}}=4.8\text{ km}\)Therefore, the complete table is
Distance (km) 0.4 0.8 1.6 2 4.8
Time (min) 5 10 20 25 60
5 cm
6 cm
13 cm
Help me find the area of this please
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
Jordayn has read 72 pages of her book. It took her 1 (1)/(2 ) hours. How many hours would it take for her to read 168 page book?
Answer:
We can start by finding how many pages Jordayn reads per hour:
Pages per hour = 72 ÷ (1 1/2) = 72 ÷ 3/2 = 48
So, Jordayn reads 48 pages per hour.
To find out how long it would take her to read a 168-page book, we can use the following formula:
Time = Pages ÷ Pages per hour
Time = 168 ÷ 48
Time = 3.5
Therefore, it would take Jordayn 3.5 hours to read a 168-page book, assuming her reading speed remains constant
ABCD is a parallelogram.
The coordinates of point A are (2,5)
x = (4,0) and y = (5,12)
Find the coordinates of points B and C.
Answer:
B(6, 5), C(1, -7)
Step-by-step explanation:
A(2, 5)
From A to B, there is translation x, (4, 0).
Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.
B(2 + 4, 5 + 0) = B(6, 5)
From C to B there is the translation y, (5, 12).
Since we are going from B to C, we undo translation y.
The translation from B to C is (-5, -12).
C(6 - 5, 5 - 12) = C(1, -7)
Multiply the polynomial 4x(2x+3) (show work pls)
Answer:
8^2+12x
Step-by-step explanation:
4x(2x+3)
=4x times 2x+4x times 3
=4 times 2xx+4 times 3x
Answer:
8x^2 +12x
Step-by-step explanation:
Step 1) Multiply each term in the parentheses by 4x
4xx2x+4xx3
Step 2) Calcuate the product
8x^2 +12x
A chessboard is a square that has 8 rows and 8 columns of square spaces. If the side of a square space is 3.25 inches long, what is the area in square inches of the chessboard?
Answer:
676 square inches
a = L²
It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively
length = with
rows = columns
8 × 3.25 = 26inches
AREA = L²
A = 26²
A = 676 square inches
The area in square inches of the chessboard given the side length of a square space is 676 inches².
What is the area of the chessboard?
A square is a quadrilateral with four equal sides.
The first step is to determine the area of a square space.
Area = length²
3.25² = 10.56 in²
The second step is to multiply the area of the square space by the number of squares.
8x 8 x 10.56 = 676 inches².
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I'd like to know what is -5.33333333333 as a fraction please help me thank you very much :)
Answer:
-5 33333333333/100000000000
Step-by-step explanation:
Answer:
-5 3333333/10,000,000
Step-by-step explanation:
all u have to do is divide 5.33333333333 by how much the places there are
really fast can someone help with this? it’s literally due in like five minutes
On solving the provided question, we can say that - the initial value in number line will jump to +12 value
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
here,
the initial value of the number line is = 15
and on adding 12
it will jump to = 15 + 12
= 27
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The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at the time.
A line that models the data is given by the equation $$, where $$ represents the wait time, and represents the number of staff available.
The slope of the line is -1.62. What does this mean in this situation?
the time you have to wait per staff number.
Is a slope of 1.62 realistic in this context?
no because it is not a coordinate and there isn't any decimals in the wait time
The $$-intercept is $$. What does this mean in this situation?
it means there's more waiting time
Is a $$-intercept of $$ realistic in this context?
no because when you try to find it it goes off the graph and isnt calculable.
The slope of a linear regression is the rate of change of the line of the best fit
The interpretation of the slope is that the wait time per staff is 1.62 minutesThe slope value is realisticThe linear regression is given as:
y = -1.62x + 18
Where
y represents the wait timex represents the number of staffUsing the above representations, the slope means that the wait time per staff is 1.62 minutes
Also, the slope value is realistic because time can be measured in decimals
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