Given that capital is fixed, what do you figure is the marginal cost or additional cost of producing another:

haircut
sandwich
Ferris Wheel ride

The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​;

(a) exactly​ three = 0.1314

(b) at least​ four = 0.7953

(c) less than eight = 0.93382

The binomial probability distribution is the probability of exactly x successes on n repeated trials, with p probability. The formula is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)^(n - x)

We are given;

p = 41% = 0.41

n = 12

Thus;

1) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is​ exactly​ three;

P(3) = ¹²C₃ * 0.41³ * (1 - 0.41)^(12 - 3)

P(3) = 0.1314

2) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least​ four;

P(x ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

P(x ≥ 4) = 0.7953

3) The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight using binomial probability calculator is;

P(X < 8) = 0.93382

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Answer:

cubic root 10 power 1

Step-by-step explanation:

Apply the rule

x

m

n

=

n

√

x

m

to rewrite the exponentiation as a radical.

3

√

10

1

Anything raised to

1

is the base itself.

3

√

10

The result can be shown in multiple forms.

Exact Form:

3

√

10

Decimal Form:

2.15443469

…

Variation refers to differences in characteristics between individuals of the same species or between different genera or species. The formula is y = 0.25x.

Therefore,

y=0.25 x

the initial statement is y ∝ x

to convert to an equation multiply by k  the constant of

⇒ y=k x

to find k use the given condition

y=0.5 when x=2

[tex]$y=k x \Rightarrow k=\frac{y}{x}=\frac{0.5}{2}=0.25$$[/tex]

the equation is y = 0.25x

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The variation equation  is [tex]y=\frac{1}{5} x[/tex]

Calculation

Given, y =2 and x=10

we know the direct relation in y∝ x

so, y = kx, where k is the proportionality constant

2= k*10

k = [tex]\frac{2}{10} =\frac{1}{5}[/tex]

Therefore, the direct variation equation for this situation is [tex]y=\frac{1}{5} x[/tex]

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Answer:

x = 22

Step-by-step explanation:

Solve for x:

x/11 = 2

multiply both sides by 11:

11(x/11) = 11(2)

x = 22

Answer:

x = 22

Step-by-step explanation:

[tex] \sf \frac{x}{11} = 2[/tex]

Use cross multiplication.

[tex] \frac{x}{11} = \frac{2}{1} \\ \\ \sf x = 2 \times 11 \\ \\ \sf \: x = 22[/tex]

The operating income of Division B will increase by $640,000

Given that: Division B incurs variable costs of $10 per unit and  a transfer price of $18 per unit is established between the two divisions and 80,000 units of materials are transferred to Division A

This cost of production by division B is:

cost = $10 × 80,000 = $800,000

Division B uses a transfer price of $18 per unit. That is:

Selling price = $18  × 80,000 = $1,440,000

Operating income increase = Selling price - cost

Operating income increase = $1,440,000 - $800,000 = $640,000

Therefore, Division B's operating income increase will be $640,000

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Answer: y > -3/4x + 2

Step-by-step explanation:

They should charge for its premium in order to have an expectation of $0 for the policy is $85.

Given that, the probability that a 50-year-old male in the U.S. will die within one year is about 0.00142.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, probability of alive 100-0.00142

= 0.99858

P(A)=0.99858A+0.00142(A+60000)

Put A=0, in the obtained function, we get

P(0)=0.99858(0)+0.00142(0+60000)

=0.00142×(60000)

=$85.2

= $85

Therefore, they should charge for its premium in order to have an expectation of $0 for the policy is $85.

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The Compound Interest is $7,290.00.

In order to calculate compound interest, multiply the principal of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

Given:

P= 6250

T= 2 years

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 6,250.00[tex](1 + 0.08/1)^{(1)(2)[/tex]

A = 6,250.00(1 + 0.08)²

A = $7,290.00

Hence, The Compound Interest is $7,290.00.

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Answer:

p=p=10/3

Explanation:

9-6p =-11=p=10/3

A polynomial is a function which involves only non-negative integer powers or only positive integers exponents the variable of any polynomial is the highest power present in it in the  quadratic equation, cubic equation, polynomial function.

example :

y=4+2x+x

y = 3x + 4

y = 3x + 4 is a polynomial that has exponent equal to 1.

Therefore A polynomial is a function which involves only non-negative integer powers or only positive integers exponents the variable of any polynomial is the highest power present in it in the  quadratic equation, cubic equation, polynomial function.

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She paid $1.375 per pound of strawberries.

What is the unit rate?

When expressed rate as a fraction, a unit rate has a denominator of 1.

Since 4 pounds cost $5.50, 1 pound of strawberries will cost 5.50/ 4 ≈ $1.375.

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Equation which is equivalent to the formula solved for r in term of A is   [tex]Or = \sqrt{\frac{A}{r}-2 }[/tex].

What is circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

A circle is also termed as the locus of the points drawn at an equidistant from the centre.

What is radius?
Radius of a circle is the distance from the center of the circle to any point on it's circumference. It is usually denoted by 'R' or 'r'.

What is circumference?

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.

Given that;

[tex]A = \pi{({r+2})^{2}}[/tex]

[tex](r+2)^{2} =\frac{A}{\pi}[/tex]  (equivalent transformation)

[tex]r + 2 = \sqrt{\frac{A}{\pi} }[/tex]

[tex]r = \sqrt{\frac{A}{\pi} -2}[/tex]

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Answer: 15√11z

Step-by-step explanation:

The number of dogs do they need to walk in order to pay for the box of treats is 4

The function that representing the profit is

y = 3x - 5

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Here the cost for buying a box of treat = $5

Substitute the value in the function and find the number of dog that they need to walk

5 = 3x - 5

3x = 5 + 5

3x = 10

x = 10 / 3

x = 3.33

x ≈ 4

Hence, the number of dogs do they need to walk in order to pay for the box of treats is 4

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On October 28, Lee received proceeds of $71,153.66 from the discounted note.

Discounting a note involves receiving immediate cash by selling it to a financial institution at a discount.

The implication of discounting a note is that the receiver gets less than the maturity value.

The maturity value is the face value of the note plus the computed interest.

Face value of the note receivable = $70,000

Interest rate = 6.34%

Note period = 120 days

July 26 - October 28 = 94 days

Maturity value of the note receivable = The Face Value + Interest

= $71,459.07 [$70,000 + ($70,000 x 6.34% x 120/365)]

Bank discount rate = 6%

The discount period from October 28 to Nov 22 = 26 days (120 - 94)

Bank discount = Maturity Value x Discount Rate x Discount Period

= $305.41 ($71,459.07 x 6% x 26/365)

Proceeds = Maturity value - Bank discount

= $71,153.66 ($71,459.07 - $305.41)

Thus, by discounting the note receivable at LB Bank at 6%, Lee received $71,153.66 instead of the $71,459.07 it would have received at maturity.

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The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)

From the question, we are to determine all of the solutions for the linear inequality whose graph is given

To do this, we will find the points that fall in the solution region (shaded portion of the graph)

The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.

The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).

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Answer:

Step-by-step explanation:

3/5 pool/hr * 10hr = 6 pool

The ball thrown vertically upward, the ball hits the ground after 6.719 seconds.

Quadratic equation :

To solve the quadratic equation:

h(t) = 0 = -5t² +33t+ 4

[tex]t = \frac{-b \pm\sqrt{(b)^2 - 4ac}}{2a}[/tex]

[tex]t = \frac{-33 \pm\sqrt{(33)^2 - 4(-5)(4)}}{2(-5)}[/tex]

t = {(-33) ±√(1169)}/(-10)

t = -0.1190

t = 6.719

neglecting the negative term we get :

t = 6.719 seconds

This represents that the ball hits the ground after 6.719 seconds.

The ball thrown vertically upward, the ball hits the ground after 6.719 seconds.

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The expected change in the dividend of a 6% preferred stock is $75.

Given that, the required rate of return drops instantly from 8% to 6%.

A return, also known as a financial return, in its simplest terms, is the money made or lost on an investment over some period of time.

The value of preferred stock = $100

Annual dividend = 100 × 6% = $6

Price of preferred stock when required return is 8% = Annual dividend / Required rate of return

= 6/8%

= 6 ×100/8

= $75

Therefore, the expected change in the dividend of a 6% preferred stock is $75.

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The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

Given,

The population of a city can be modeled using the formula P=100,000e^(0.05t)

t is the number of years after 2012

P is the population of the city

We have to find the equation that can be used to find the number of years after 2012 that the population will triple to 300,000.

Here,

Substitute 300000 in for P and solve for t

300000=100000e^0.05t

Divide both sides by 100000:

We get,

3 = e^0.05t

Multiply both sides by the natural log (ln)

Then,

ln(3) = 0.05t

Now, divide 0.05 on both sides to get t by its self

t = ln(3) / 0.05

Therefore,

The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

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The calculation of the ending inventory and the cost of goods sold using FIFO and LIFO methods for ABC Inc. is as follows:

                                          FIFO          LIFO

Ending inventory          $10,250     $12,800

Cost of goods sold       $17,000     $14,450

FIFO, which means First-in, First-out, computes the cost of goods sold based on the assumption that the physical flow of goods sold depends on the earlier inventory in stock.

FIFO can be applied under both the perpetual and periodic inventory systems, unlike LIFO.

LIFO means Last-in, First-out, and as a cost flow assumption assigns the cost of goods sold based on the latest inventory purchases.

LIFO cannot be used under the perpetual inventory system.

Date        Activities                       Units     Unit Rate      Total Cost

April 1     Beginning inventory       220          $50             $11,000

April 5    Purchases                        100          $60                6,000

April 10   Purchases                         50          $45                2,250

April 16   Sales                              -300          $80

April 25  Sales                                -20          $95

April 30  Purchases                      200          $40                8,000

Total                                              570                             $27,250

Units sold                                      320

Ending inventory                         250

FIFO:

Ending Inventory = $10,250 (200 x $40 + 50 x $45)

Cost of goods sold = $17,000 ($27,250 - $10,250)

LIFO:

Ending Inventory = $12,800 (220 x $50 + 30 x $60)

Cost of goods sold = $14,450 ($27,250 - $12,800)

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For the given triangle ABC,

The perimeter of ABC is 32.443 unit
The area of ABC is 30 unit^2

What is a vertex?
A triangle is created geometrically by the intersection of three line segments. Each side of a triangle has two ends, and the three sides' endpoints may intersect at three distinct places in a plane to form the triangle. The three locations where they cross each other are referred to as a triangle's vertices.

Solution explained:

The distances are found using the distance formula:

D=[tex]\sqrt{((y2-y1)^2+(x2-x1)^2)}[/tex]

Given A(2,8),B(16,2),C(6,2)

Now, calculate the distance

AB=[tex]\sqrt{((16-2)^2+(2-8)^2)}[/tex]=[tex]\sqrt{(14^2+6^2)}[/tex]=[tex]\sqrt{232}[/tex]

BC=[tex]\sqrt{((6-16)^2+(2-2)^2)}[/tex]=[tex]\sqrt{(10^2+0)}[/tex]=10

CA=[tex]\sqrt{((2-6)^2+(8-2)^2)}[/tex]=[tex]\sqrt{(4^2+6^2)}[/tex]=[tex]\sqrt{(16+36)}[/tex]=[tex]\sqrt{52}[/tex]

Perimeter=AB+BC+CA
               =32.443 unit

For the area (we note that BC is horizontal (parallel to the x-axis)), so

Area = (1/2)base * height

        =(1/2)10*(ya-yb)

        =(1/2)10*(8-2)

        =(1/2)10*6

        =30 unit^2

Hence, the perimeter is 32.443 units and the area is 30 unit^2

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Answer: 1 hour and 30 minutes or 1.5 hours

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

5 with a remainder of 49

Step-by-step explanation:

Answer:

3(3+4) IS NOT EQUAL TO 3^3

Step-by-step explanation:

3(3+4)

Expand brackets to get 21 (3x3 = 9, 3x4 = 12, 9 + 12 = 21)

3^3 = 3 x 3 x 3

3x3 = 9

9 x 3 = 27

21 < 27

Answer:

Step-by-step explanation:

Answer:

f(2) = 0

Step-by-step explanation:

Factor Theorem

If f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Therefore, applying the factor theorem, if (x - 2) is a factor of a polynomial f(x) then f(2) = 0.

Answer:

second option

Step-by-step explanation:

the solution to the system of equations is at the points of intersection of the two graphs.

the graphs intersect at (- 2, - 3 ) and (1, 0 ) , then

the solutions are (- 2, - 3 ) and (1, 0 )

Answer:

There is only one solution

Step-by-step explanation:

4x - 7 = 2x + 15

+7        +7

4x = 2x + 22

-2x   -2x

2x = 22

divide by 2 into both sides

x = 11

Since there is only one answer, there is only ONE solution.