Exercise 3-65 Algo
The historical returns on a portfolio had an average return of 20 percent and a standard deviation of 27 percent. Assume that returns
on this portfolio follow a bell-shaped distribution.
a. Approximately what percentage of returns were greater than 74 percent? (Round your answer to the nearest whole percent.)
Percentage of returns
%
b. Approximately what percentage of returns were below -61 percent? (Round your answer to 1 decimal place.)
Percentage of returns
%

Answer: y = 5x-2

Step-by-step explanation:

The company cannot maximize profit because the cost of producing outweighs the revenue or profit made

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:

P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800

To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.

The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.

Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.

In other words, the company will lose money for each drone produced, so it should not produce any at all.

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Rewrite the fractions to have a common denominator:

1/3 = 2/6

1/2 = 3/6

Now rewrite the full numbers as improper fraction:

5 2/6 = 32/6

1 3/6 = 9/6

Subtract:

32/6 - 9/6 = 23/6

Now rewrite as 3 5/6

Answer: 3 5/6

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

\(r=12, y=12x\)

Step-by-step explanation:

\(\frac{y}{x}=\frac{48}{4}=12 \\ \\ \therefore r=12 \implies y=12x\)

Answer:

57 inches in yards is = 1.58333

Step-by-step explanation:

divide the length value by 36

Answer:

By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.

Step-by-step explanation:

Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.

(x - y)(y - x) = -(x² - 2xy + y²)

(6 - y)(6 - y) = 36 - 12y + y²

(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct

(y² - xy)(y² + xy) = \(y^{4} - x^{2} y^{2}\). This expression is correct

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = \(4096y^{4} -x^{4}\). This expression is correct.

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According to SAS Congruence Theorem and the reflexive property of congruence, it can be proved  that ΔSPQ ≅ ΔTPQ.

It is given to us that -

PQ bisects ∠SPT

SP ≅ TP

We have to prove that ΔSPQ ≅ ΔTPQ

Now, as PQ bisects ∠SPT,

∠SPQ = ∠TPQ

Also, according to the Reflexive Property of Congruence, PQ is a common side of both triangles - ΔSPQ and ΔTPQ.

Thus, according to SAS Congruence Theorem,

"If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent."

Therefore, according to SAS Congruence Theorem, we have proved that ΔSPQ ≅ ΔTPQ.

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Answer:

The right whale is 100 times more massive that the polar bear

Step-by-step explanation:

7 x 10^2 = 700 kg

7 x 10^4 = 70,000kg.

Check: 700 x 100 = 70,000

(the equivalent mass of 10 polar bears equals that of one whale)

:)

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

12.54kg

Step-by-step explanation:

(23/4 + 35/6 + 23/8)kg

\( = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} \)

\( = \frac{92 + 140 + 69}{24} \)

= 301/24

= 12.54kg

Answer:

cpctc and aas

Step-by-step explanation:

If u look at it there is only 2 angles and one side (aas) and cpctc because it saying that since we know it congruent then we know that ab is equal to cb

Answer:

she has to pour 1/4 cup two times

Step-by-step explanation:

Answer:

A=L×B

259=18.5×B

295=18.5B

295/18.5=18.5B/18.5

8.595=B

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

Answer:

38º

Step-by-step explanation:

the angles that are across from each other like

are equal.

So, <6 = 38º (This is also because of the Vertical Angle Theorem / VAT)

Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

\(\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$\)

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12

A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

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Answer:

6

Step-by-step explanation:

5+8+6+5+10+7+1=42

42/7=6

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

Step-by-step explanation:

r = 8/3 units

h = 13 units

Volume of cone = (1/3) πr²h

                           \(= \frac{1}{3}* 3.14 * \frac{8}{3}* \frac{8}{3}*13\\\\= 96.76 cubic units\)

If the radius of the base of the cone, r, is \( \frac{8}{3} \) units and the height, h, is 13 units, what is the volume of the cone ?

\( \bullet \) Radius of the base of the cone (r) is \( \frac{8}{3} \) units.

\( \bullet \) Height (h) of the cone is 13 units.

Volume of the cone.

We know,

Formula of volume of cone is \( \frac{1}{3} \) πr²h

So, volume of the cone = \( \frac{1}{3} \) × \( \frac{22}{7} \) × \( (\frac{8}{3})² \) × 13

= \( \frac{1}{3} \) × \( \frac{22}{7} \) × \( \frac{8}{3} \) × \( \frac{8}{3} \) × 13

= \( \frac{22 \: × \: 8 \: × \: 8 \: × \: 13}{3 \: × \: 7 \: × \: 3 \: × \: 3} \)

= \( \frac{18304}{189} \)

= 96.85 cubic units.

Answer:

204

Step-by-step explanation:

Answe7

Step-by-step explanation:\

Answer: 60 ounces of flour

Step-by-step explanation:

8•7.5=60

Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

The Pythagorean Theorem, a well-known geometric principle that states that the square just on hypotenuse (the side across from the right angle) of a right triangle equals the sum of the squares on its legs, is also known as the

a² + b² = c².

For the larger triangle, applying Pythagorean theorem:

4² + (4√3)² = x²

x² = 16 + 16*3

x² = 16 + 48

x² = 64

x = 8

Then, x - 6 = 8 - 6 = 2

Now applying Pythagorean theorem for smaller triangle:

y² + (x - 6)² = 4²

y² =  4² - 2²

y² =  16 - 4

y² =  12

y² =  √12

y = 2√3

Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

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The area of the triangle is 52.32 square units

from the question, we have the following parameters that can be used in our computation:

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Answer: uh i think its 392 inches squared

Step-by-step explanation:

The volume of the box whose area is 112 inch² and height 3.5 inch is

392 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The area of the box = 112 inch²

The height of the box = 3.5 inch

Now , the volume of the box is given by the equation

Volume of the box = Area of the box × Height of the box

Volume of the box = 112 inch² x 3.5 inch

Volume of the box = 392 inch³

Therefore , the volume of the box is 392 inch³

Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³

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