Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influence the probability that it will land heads up. Based on your understanding of theoretical probability, explain to your little brother why his theory of influence is false.

Finance charge is: d.) $69.25.

Using this formula

Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)

Let plug in the formula

Finance charge=($22.50×12)-($225.75-$25)

Finance charge=$270-$200.75

Finance charge=$69.25

Therefore the Finance charge is: d.) $69.25.

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By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.

cos(θ) = Adj/Hyp

Where:

Substituting the parameters into the formula, we have;

cos(θ) = CE/BC

cos(11.46) = CE/9.41

Cross-multiplying, we have:

CE = 9.41 × cos(11.46)

CE = 9.41 × 0.9801

CE = 9.22 cm.

By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.

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The swimsuits that can be produced with the new partner is  23,043.

The swimsuits that can be produced without the partner is  16,521.

The equation that relates total cost, operating cost and cost per swimsuit together is

Total cost = operating cost + (cost per swimsuit x number of swimsuits)

500,000 = 120,000 + ($23x s)

500,000 - 120,000 = 23s

380,000 = 23s

s = 380,000 / 23

s = 16,521

Number of swimsuits that can be produced with the new partner:

(500,000 + 150,000)  = 120,000 + ($23x s)

650,000 = 120,000 + 23s

650,000 - 120,000 = 23s

530,000 = 23s

s = 530,000 / 23

s = 23,043

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Answer:

fvbafdbai

Step-by-step explanation:

gyhghg

Hello,

f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x

The value of sec(V) is 5/3

The tangent is given as:

tan(V) = 4/3

To solve for sec(V), we use the following identity

sec^2(V) = tan^2(V) + 1

So, we have:

sec^2(V) = (4/3)^2 + 1

This gives

sec^2(V) = 16/9 + 1

Evaluate the sum

sec^2(V) = 25/9

Take the square root

sec(V) = 5/3

Hence, the value of sec(V) is 5/3

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The volume that is left to be filled is approximately: 3,332.6 in.³

Volume of a box = (length)(width)(height)

Given the following:

Volume of the bat = 82 cubic in.

Length of box = 30 in.

Width = 18.97 in.

Height = 6 in.

The remaining volume to be filled = volume of box - volume of bat

= (30)(18.97)(6) - 82

= 3,332.6 in.³

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Answer:

undefined - you can't divide by 0!

Step-by-step explanation:

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{10-(-8)}{1-1}[/tex]

m = 18/0

In order to find the slope, we have the formula is

The change of Y (Also Y minus each other)

----------------------------------------------------------------- Over (As fraction

The change of X (Also X minus each other)

Now the first point is (1,10) The Y is 10

                                               The X is 1

Now the Second Point is (1,-8) The Y is -8

                                                     The X is 1

So now we plug the numbers in

10-(-8)

---------                which is equal to 18/0

1-1  

A quick tip is that you CAN'T divide by zero

Therefore the answer is unidentified, but now you know how to solve for slopes

The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10

The sample scores are given as:

2, 3, 5, 5, 6.

Calculate the mean and the standard deviation using a statistical calculator.

From the statistical calculator, we have:

[tex]\bar x = 4.2[/tex] --- mean

[tex]\sigma_x = 1.64[/tex] --- standard deviation

The z-score is then calculated using

[tex]z= \frac{x - \bar x}{\sigma}[/tex]

Where:

x = 2, 3, 5, 5, 6.

So, we have:

[tex]z_1= \frac{2 - 4.2}{1.64} = -1.34[/tex]

[tex]z_2= \frac{3 - 4.2}{1.64} = -0.73[/tex]

[tex]z_3= \frac{5 - 4.2}{1.64} = 0.48[/tex]

[tex]z_4= \frac{5 - 4.2}{1.64} = 0.48[/tex]

[tex]z_5= \frac{6 - 4.2}{1.64} = 1.10[/tex]

Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10

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Answer:

20

Step-by-step explanation:

Just replace n by -4

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above0.8[/tex]

                                We have the expression-:

                                [tex]\boldsymbol{\sf{f(n)=n^2-n}}[/tex], and we should evaluate that for

                               [tex]\boldsymbol{\sf{f(-4)}}[/tex]. To do that simply put in the value for x-:

                              [tex]\boldsymbol{\sf{f(-4)=(-4)^2-(-4)=16+4=20}}[/tex]

done!!

[tex]\orange\hspace{300pt}\above3[/tex]

Answer:

0.0000432

Step-by-step explanation:

In scientific notation, 10 raised to a negative number means that the number is less than 1. If the exponent is -5, the decimal place needs to be moved to the left 5 places. This makes the number in standard form: 0.0000432.

If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%

Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.

We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.

Cost of debt (consider after tax)=10%(1-25%)

=10%*0.75

=0.075

Weight of equity=60/80

=0.75

Weight of debt=20/80

=0.25

Weighted average cost of capital=12%*0.75+0.075*0.25

=0.09+0.01875

=0.10875

=10.875%

Hence the weighted average cost of capital is 10.875%

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Answer: (a * 50%)^3

Step-by-step explanation:

length = a

(a * 50%)^3

If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

 [tex]\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }[/tex]

Second step

⇒ form a common denominator for the fraction in the 'denominator'

[tex]\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }[/tex]

Let's flip over the fraction on the denominator

[tex]\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx[/tex]

And there you go, you have proved the statement by following these steps!

 *note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

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The computation shows that the year that Helike disappeared is 2248 years in between.

From the information, Helike disappearance was denoted as -1/5w. The year that civil year ended was represented as c + 1/4c.

This implies that year Helike disappeared will be:

= c + 1/4c - +-1/5w)

= 2248 years.

Here is the complete question:

The year the Greek city of Helike disappeared is -⅕ times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.

Part G

Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD.

Part H

Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War. Write the expression in terms of c and w. Then solve the expression to find out how many years separate these two events.

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Answer: y = -3

Step-by-step explanation:

The midpoint is [tex]\left(\frac{-2+4}{2}, \frac{2-8}{2} \right)=(1, -3)[/tex].

The line given is a vertical line, so we need a horizontal line.

Thus, the equation is y = -3.

The information given about the probability shows that the expected maintenance cost is $22950.

From the information given, the repair hours and the probability are given.

In this case, the maintenance cost will be:

= (8 × 0.05) + (10 × 0.12) + (12 × 0.15) + (14 × 0.32) + (15 × 0.22) + (17 × 0.14) × $1700

= 13.50 × $1700

= $22950

In conclusion, the correct option is D.

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Answer: 104 inches or 8' 8"

Step-by-step explanation:

1 foot = 12 inches

21 * 12 = 252 inches + 9 = 261 inches

13 * 12 = 156 + 1 = 157 inches

261 - 157 = 104 inches

104 / 12 = 8' 8"

Answer:

the answer is x<9 I found this by simplifying and separating the x

The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]

Apply the quotient law of indices

[tex]x^{12-2}z^{11-4}[/tex]

Evaluate the difference

[tex]x^{10}z^{7[/tex]

Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]

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The complement of the given set is:

A* = {-1, 0, 1, 4, 5}

For any set A on a universal set U, such that:

A ⊂ U.

The complement of A is the set of all the terms on U that do not belong to A.

Here we have:

U = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

And the given set is:

A = {-3, -2, 2, 3, 6, 7}

Then the complement of A is:

A* = {-1, 0, 1, 4, 5}

(all the elements of U that are not in A).

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Answer:

30 yards for 24 vs 1 foot for 25 cents

so lets multiple the yards by 3 to see how many feet

90 feet = 30 yards

90 feet 24 dollars

now lets divide 90 by 24

3.75 so 3.75 per foot

so the second one is way better

Hope This Helps!!!

Answer:

150 feet at $.25 per foot ($.75 per yard) is the better buy.

Step-by-step explanation:

150 feet is equal to 50 yards. So 2 30-yard spools would be $48. $48 for 60 yards equals $.80 per yard. So 150 feet at $.25 per foot ($.75 per yard) is the better buy.

Answer:

y = -4x + 25

Step-by-step explanation:

You are given the slope, but you can find the slope using 2 points.  Slope is the change in y over the change is x.  Your two y's are 1 and 9.  Your two x's are 6 and 4.

1-9/6-2  

1 - 9 = -8

6-4 = 2

-8/2 is -4.

We want an equation in the form y = mx +b.  We have the m (slope), we now just need the b.  We take either of the ordinal points (4,9) or (6, 1) to find b.  They will both work, but the question tells us to us (4,9).  4 is the x and 9 is the y.

y = mx + b

9 = (-4)(4) + b  a negative times a positive is a negative.

9 = -16 + b  Add 16 to both sides

25 = b

We know now m which is -4 and b which is 25.  We plug them into the model y = mx + b

y = -4x + 25

Answer:

36.

Step-by-step explanation:

try this option provided on the attached picture.

The probability of women will be 0.49.

Based on the information given, the probability women will be:

Number of women = 85 + 32 = 117

Number of men = 70 + 51 = 121

Total = 117 + 121 = 238

The probability of women will be:

= 117/238

= 0.49

The probability of women or summer will be:

= 0.49 × 155/238

= 0.32.

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Answer:

I believe the answer is B, it makes the most sense

Step-by-step explanation:

Answer:

-1/2 and 13/2

Step-by-step explanation:

The person that would cover the most tile is Bruce because 1/4 is bigger than 1/6.

Bruce has been said to have the need for 1/4 square foot of tiles

Felicia on the other hand would need

1/6 for 1 sq foot

12 for 2 square foot

18 for 3 square foot

Bruce is knwon to cover

[tex]\frac{1}{4} x[/tex]

For felicia one square foot is covered by 1/6th

Now we have to know the one that is larger.

1/4 is bigger than 1/6

Hence we can conclude that Bruce is going to cover a larger are than Felicia.

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Answer: The person who covered the most tiles is Bruce, because 1/4 is bigger than 1/9.

Step-by-step explanation: