What is the probability that at least 2 people out of 23 share a birthday? Probability (at least 2 people share a birthday) =1-p (nobody shares a birthday)

Answers

Answer 1

Evaluating the expression given below gives us the probability that at least two people out of 23 share a birthday.

To calculate the probability that at least two people out of 23 share a birthday, we can use the principle of complementary probability. First, let's calculate the probability that nobody shares a birthday.

Assuming that birthdays are equally likely to occur on any day of the year and are independent events, the probability that two people have different birthdays is (365/365) * (364/365) since the first person can have any birthday and the second person must have a different one. Extending this logic, the probability that all 23 people have different birthdays is:

(365/365) * (364/365) * (363/365) * ... * (343/365)

To find the probability that at least two people share a birthday, we subtract this probability from 1:

P(at least 2 people share a birthday) = 1 - [(365/365) * (364/365) * (363/365) * ... * (343/365)]

Evaluating this expression gives us the probability that at least two people out of 23 share a birthday.

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Related Questions

-6x + 12 , can somebody explain this ?

Answers

Step-by-step explanation:

Factor −6 out of −6x

-6(x)+12

Factor −6 out of 12.

−6(x)−6(−2)

Factor −6 out of −6 (x)−6(−2).

-6(x-2)

(11m-7m)-(2m+6m) the sum or differce

Answers

Answer:

-4m

Step-by-step explanation:

=11m-7m-(2m+6m)

=11m-7m-8m

=-4m

plz mark me as brainliest

Answer:

-4m

Step-by-step explanation:

Hey!

==================================================================

First, We should remove the Parentheses.

To remove them, we distribute the negative over (2m + 6m).

⇒ 11m - 7m - (2m + 6m)

⇒ 11m - 7m - 2m - 6m

Work the Problem from Left to Right.

⇒ 4m - 2m - 6m

⇒ 2m - 6m

-4m

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour

Answers

Answer: 3 1/3 miles

Step-by-step explanation:

a square has f the diagonals of a square bisects its angles? ​

Answers

Answer:

ok so i can have i insteaof f too

Step-by-step explanation:

what is the value (in binary) of al, ah, and eax gave the following hexadecimal values in the eax register? (1) 37e11449 eax =? (in the format of xxxx xxxx xxxx xxxx xxxx xxxx xxxx xxxx)

Answers

To convert the hexadecimal value of the EAX register (37e11449) into binary and obtain the values of AL, AH, and EAX, we can break it down as follows:

EAX: 0011 0111 1110 0001 0001 0100 0100 1001

AH:   0011 0111

AL:    0100 1001

So, the binary representation of AL, AH, and EAX is as follows:

EAX: 0011 0111 1110 0001 0001 0100 0100 1001

AH:   0011 0111

AL:    0100 1001

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called
A. a cyclical component
B. a trend component.
C. seasonal component.
D. irregular component.

Answers

The time series component that exhibits a repeating pattern over successive periods, often one-year intervals, is called the seasonal component. It represents the regular and predictable variations in the data that occur due to seasonal factors, such as weather patterns, holidays, or annual events.

The seasonal component typically follows a consistent pattern, where the values tend to rise and fall in a similar manner within each season. For example, retail sales may experience higher values during the holiday season each year and lower values during other times.

Identifying and analyzing the seasonal component is crucial in many fields, including economics, finance, marketing, and forecasting. By understanding and accounting for the seasonal patterns, analysts and decision-makers can make more accurate predictions, adjust for seasonality in data, and develop strategies to optimize operations or sales during specific periods.

Methods such as seasonal decomposition or seasonal adjustment techniques are used to separate the seasonal component from other components, such as trend and irregular fluctuations, in order to better understand the underlying patterns and make informed decisions based on the data.

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Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?

Answers

The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y

How to determine the graph?

The function is given as:

[tex]g(x) = 2^x[/tex]

When compressed horizontally by a factor of 1/2, the transformation rule is:

g'(x) = g(2x)

So, we have:

[tex]g(2x) = 2^{2x}[/tex]

[tex]g(2x) = 4^x[/tex]

When reflected across the x-axis, the transformation rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f(x) = -4^x[/tex]

The graph represented by this is graph Y.

Hence, the graph of the transformation is graph Y

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 What value of Y makes the equation true? Y + 2.9 = 11​

Answers

Answer:

8.1

Step-by-step explanation:

Subtract 2.9 to get Y alone.

11 - 2.9 = 8.1

Buenos días personas!!!
Necesito ayuda con esta problema de Matemáticas. ¿Me ayudan por favor?
PROBLEMA: Calcula 5€ de descuento de 16,80€
SOLUCIÓN: no sé
Muchas gracias!!

Answers

Respuesta:

11,80 €

Explicación paso a paso:

Dado:

Importe o coste = 16,80 €

El valor de descuento sobre la cantidad = 5 €

El precio o costo con descuento sobre el monto entregado será; la diferencia entre la cantidad dada y el valor de descuento

Importe - valor de descuento

16,80 € - 5 €

= 11,80 €

from the sum of 3a^2-ab-2b^2 and 2a^2+5ab-3b^2 subtract a^2-3ab-4b^2

Answers

4a^2+7ab-b^2

Step-by-step explanation:

Add the first two equations together:

 3a^2-ab-2b^2

+ 2a^2+5ab-3b^2

---------------------------

5a^2+4ab-5b^2

Subtract that answer from the remaining trinomial:

5a^2+4ab-5b^2

- a^2-3ab-4b^2

--------------------------

4a^2+7ab-b^2

Answer:

4a^2 + ab - 9b^2

Step-by-step explanation:

First, perform the indicated addition:

3a^2-ab-2b^2

2a^2+5ab-3b^2

------------------------

5a^2 + 4ab - 5b^2

From this sum we subtract a^2 - 3ab - 4b^2:

 5a^2 + 4ab - 5b^2

-(a^2 - 3ab - 4b^2

------------------------------

 4a^2 + ab - 9b^2

Numerical methods for non-autonomous ODES [8 marks] Consider using the modified Euler formula Yn+1 = yn +hF(t, + $; Yn + F(tryn)), for some step size h > 0, to compute numerical solutions of the initial value problem dy F(t,y), y(to) = yo dt Use the modified Euler formula with step sizes h = 0.05 and h = 0.001 to compute approximate values of the solution to the following initial value problem dy 2t +ety, y(0) = 1, dt at the four time steps t = 0.1, 0.2, 0.3 and 0.4.

Answers

The approximate values of the solution to the given initial value problem at the four time steps t = 0.1, 0.2, 0.3 and 0.4 using the modified Euler formula with step sizes h = 0.05 and h = 0.001 are as follows:

Approximate solution using h = 0.05y(0.1) = 1.12116266y(0.2) = 1.25755476y(0.3) = 1.41728420y(0.4) = 1.59967883

Approximate solution using h = 0.001y(0.1) = 1.00372378y(0.2) = 1.00745820y(0.3) = 1.01119282y(0.4) = 1.01492766

The non-autonomous ordinary differential equation is given as:

dy/dt = f(t,y)......(1)

where f is a continuous function and is defined for all values of t and y. The numerical methods for non-autonomous ODEs are described below:

Modified Euler Formula (Improved Euler Method)

This method is based on the same idea as Euler's method, but the derivative is evaluated at the midpoint of the interval instead of the initial point. Consider the initial value problem (IVP) dy/dt = f(t,y), y(to) = yo, and suppose that we want to approximate the solution at tn+1 = tn + h. Then, using the improved Euler's formula, we obtain the following approximation:

Yn+1 = yn + hF(tn + h/2, yn + hF(tn,yn)/2)......(2)

Using h = 0.05

Substituting h = 0.05 in equation (2), we get

Y1 = Y0 + 0.05(F(0.025,Y0+F(0,Y0)/2))

Y2 = Y1 + 0.05(F(0.075,Y1+F(0.05,Y1)/2))

Y3 = Y2 + 0.05(F(0.125,Y2+F(0.1,Y2)/2))

Y4 = Y3 + 0.05(F(0.175,Y3+F(0.15,Y3)/2))

Using h = 0.001

Substituting h = 0.001 in equation (2), we get

Y1 = Y0 + 0.001(F(0.0005,Y0+F(0,Y0)/2))

Y2 = Y1 + 0.001(F(0.0015,Y1+F(0.001,Y1)/2))

Y3 = Y2 + 0.001(F(0.0025,Y2+F(0.002,Y2)/2))

Y4 = Y3 + 0.001(F(0.0035,Y3+F(0.003,Y3)/2))

For the given IVP, f(t,y) = 2t + ety, y(0) = 1

So, substituting f(t,y) in equation (1), we get

dy/dt = 2t + ety.....(3)

Using the modified Euler formula (equation 2), we get

Using h = 0.05

Y1 = 1 + 0.05(2(0.025) + e(0.025)Y0) = 1.12116266

Y2 = 1.12116266 + 0.05(2(0.075) + e(0.075)Y1) = 1.25755476

Y3 = 1.25755476 + 0.05(2(0.125) + e(0.125)Y2) = 1.41728420

Y4 = 1.41728420 + 0.05(2(0.175) + e(0.175)Y3) = 1.59967883

Using h = 0.001

Y1 = 1 + 0.001(2(0.0005) + e(0.0005)Y0) = 1.00372378

Y2 = 1.00372378 + 0.001(2(0.0015) + e(0.0015)Y1) = 1.00745820

Y3 = 1.00745820 + 0.001(2(0.0025) + e(0.0025)Y2) = 1.01119282

Y4 = 1.01119282 + 0.001(2(0.0035) + e(0.0035)Y3) = 1.01492766

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Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.

Answers

Answer:   It is 3.>9

Step-by-step explanation:

because i dont know

What is the value of 4/15 ➗ 2/3?

Answers

Answer:

2/5, option 4.

Step-by-step explanation:

When you are dividing 2 fractions, the first fraction stays the same, and the 2nd fraction becomes the reciprocal, and the division sign becomes a multiplication sign.

The reciprocal of 2/3 is 3/2.

Now you need to change the division sign to a multiplication sign.

The equation will now become 4/15 x 3/2.

4 times 3 is 12, and 15 times 2 is 30.

12/30 isn't an option, so you will need to simplify.

Find a common factor, then divide.

6 is a common factor, so you divide both 12 and 30 by 6, to get 2 and 5.

2/5 is what you are left with.

Option 4.

4/15 divided by 2/3 is 2/5.

Answer:

hi

Step-by-step explanation:

[tex] \frac{4}{15} \div \frac{2}{3} = \frac{4}{15} \times \frac{3}{2} = \frac{2}{5} [/tex]

have a nice day

Solve the system of equations x' 2x – 3y + 2 sin(2t) y' = x – 2y — 2 cos(2t)

Answers

Upon solving the given system of equations:

[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t),\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]

To solve the system of equations:

x' = 2x - 3y + 2sin(2t)

y' = x - 2y - 2cos(2t)

We can use the method of undetermined coefficients to find the particular solution. Assuming the particular solution takes the form:

[tex]x_p(t) = A sin(2t) + B cos(2t)\\y_p(t) = C sin(2t) + D cos(2t)[/tex]

Substituting these expressions into the original equations, we get:

2(A sin(2t) + B cos(2t)) - 3(C sin(2t) + D cos(2t)) + 2sin(2t) = 2sin(2t)

(A sin(2t) + B cos(2t)) - 2(C sin(2t) + D cos(2t)) - 2cos(2t) = cos(2t)

(2A - 3C + 2)sin(2t) + (2B - 3D)cos(2t) = 2sin(2t)

(A - 2C)sin(2t) + (B - 2D - 2)cos(2t) = cos(2t)

By comparing the coefficients of sine and cosine on both sides, we can equate them separately:

2A - 3C + 2 = 2

2B - 3D = 0

A - 2C = 0

B - 2D - 2 = 1

Solving these equations, we find:

A = 1

B = 3/2

C = 1/2

D = -1/4

So the particular solution is:

[tex]x_p(t)[/tex] = sin(2t) + (3/2)cos(2t)

[tex]y_p(t)[/tex] = (1/2)sin(2t) - (1/4)cos(2t)

To find the complementary solution, we solve the homogeneous system:

x' = 2x - 3y

y' = x - 2y

We can rewrite this system as a matrix equation:

X' = AX

where [tex]X = [x, y]^T[/tex] and

[tex]A = \left[\begin{array}{ccc}2&-3\\1&-2\end{array}\right][/tex]

The characteristic equation is:

det(A - λI) = 0, where I is the identity matrix. Solving this equation, we find the eigenvalues:

[tex]\lambda_1 = -1\\\lambda_2 = -1[/tex]

For each eigenvalue, we solve the corresponding eigenvector equation:

(A - λI)V = 0

For [tex]\lambda_1 = -1[/tex], we have:

[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_1 = 0[/tex]

Solving this system, we find the eigenvector:

[tex]V_1 = [1\ \ 1][/tex]

For [tex]\lambda_2 = -1[/tex], we have:

[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_2= 0[/tex]

Solving this system, we find the eigenvector:

[tex]V_2 = [3\ \ 1][/tex]

So the complementary solution is:

[tex]x_c(t) = c_1 * e^{-t} * [1\ \ 1]^T + c_2 * e^{-t} * [3\ \ 1]^T\\y_c(t) = c_1 * e^{-t} * [1\ \1]^T + c_2 * e^{-t} * [3\ \ 1]^T[/tex]

where

[tex]c_1\ and\ c_2[/tex] are arbitrary constants.

The general solution is the sum of the particular and complementary solutions:

[tex]x(t) = x_p(t) + x_c(t)\\y(t) = y_p(t) + y_c(t)[/tex]

Simplifying and combining terms, we get:

[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t)\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]

where [tex]c_1\ and\ c_2[/tex] are arbitrary constants.

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here are 24 people in a fitness studio. 3/8 of the people are lifting weights, 1/3 are cross training, and the remaining people are running. What fraction of the people are running?

Answers

Answer:

7/24 i think i hope this helps and im right

I thing it may be 27/4 I’m not sure but I hope it helps

Yes, I need help, give answer as IMPROPER fraction.

Answers

Answer:

[tex]w = \frac{93}{40} [/tex]

w=93
—— Rhejrjfbffnfnfnfnnfnfnf
40

List the probability of each outcome in the sample space.

Answers

are there answer choices to this question?

Which statement about the students' preferences is true? A. More students prefer Model B2 calculators than Model C3 calculators B. More students prefer black Model C3 calculators than white Model B2 calculators. C. More students prefer black calculators than white calculators. D. The fewest students prefer white Model B2 calculators. NEED HELP​

Answers

B. More students prefer black Model C3 calculators than white Model B2 calculators.

       - Ap3x verified

Why is it important to remember the definitions of binomial, continuous, discrete, interval, nominal, ordinal, and ratio variables?

Answers

It is important to remember the definitions of binomial, continuous, discrete, interval, nominal, ordinal, and ratio variables because these are different types of data which need different methods of analysis.

Nominal variables are variables used for identification or categorization. Nominal data cannot be ranked, ordered, or compared. The gender, ethnicity, religion, and hair color of an individual are all examples of nominal variables.

Ordinal variables are variables that can be ranked or ordered, but the difference between each point on the scale is not constant. For example, we could use an ordinal variable to describe the class ranks of students: 1st, 2nd, 3rd, and so on. While there is a clear order to the data, the difference between each rank is not necessarily the same.

Interval variables have equal distances between each value, and they also have a true zero point. For example, a temperature measurement is an interval variable because the difference between 20 degrees Celsius and 30 degrees Celsius is the same as the difference between 30 degrees Celsius and 40 degrees Celsius.

Ratio variables have equal intervals between each value and have a true zero point. For example, weight is a ratio variable because a weight of zero means that there is no weight.

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a circle has a diameter of 18. the sector has a central angle of 30 degrees. what is the area of the sector?

Answers

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Caitlyn uses 47-centstamps and 8.cent stamps to mail a gift card to a friend. If the postage is $2.99, how many of each stamp did Caitlyn use?

Answers

Let the number of 47-cent stamps be x, and the number of 8-cent stamps be y. So, the cost of x 47-cent stamps will be $0.47x.The cost of y 8-cent stamps will be $0.08y.Therefore, $2.99 = $0.47x + $0.08y  Multiply the entire equation by 100 to eliminate decimals. $299 = 47x + 8yEquation 1.47x + 8y = 299There are a couple of ways to solve the system of equations.

One method is substitution. We can rearrange equation 1 to solve for x:47x = 299 - 8y x = (299 - 8y)/47Substitute this expression for x into the first equation: 0.47(299 - 8y)/47 + 0.08y = 2.99 Simplifying the equation, we get: 299 - 8y + 4.76y = 299y = 299/0.76y = 393.4Hence, we cannot have fractional values of y; it must be a whole number, so Caitlyn can use 32 47-cent stamps and 15 8-cent stamps to mail a gift card to a friend.

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help me out and ill give brainliest

Answers

Answer:

C

Step-by-step explanation:

Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).

WILL GIVE BRAINLIEST!!! If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?

Answers

Don’t trust that link


178 units^2

The surface area of the figure is 204 sq.unit.

What is Surface Area ?

The surface area of a three dimensional figure is the sum of area of all its faces.

Here a three dimensional figure is given and surface area has to be calculated.

The base is a cuboid

Surface Area of a cuboid = SA= 2lw+2lh+2hw

SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3

SA = 144 sq.units

The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height

SA = 2 * 6 * 5 = 60 sq.units

The total surface area = 144 +60 = 204 sq.units

Therefore the surface area of the figure is 204 sq.unit.

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Give an angle of rotation centered at the origin that sends point P to a location whose (z,y) coordinates satisfy the given conditions. 1. z>0 and y < 0 2. z <0 and y> 0 3. y < 0 and z < 0 YA P x

Answers

The angles of rotation for the given conditions are:

1. π radians (180 degrees)

2. π/2 radians (90 degrees)

3. 3π/2 radians (270 degrees)

To find an angle of rotation centered at the origin that sends point P to a location with the given conditions, we can use trigonometric concepts.

1. For z > 0 and y < 0:

Since z > 0, the point P lies in the positive z-axis direction. To make y negative, we rotate the point counterclockwise by an angle of π radians (180 degrees).

2. For z < 0 and y > 0:

In this case, the point P lies in the positive y-axis direction. To make z negative, we rotate the point counterclockwise by an angle of π/2 radians (90 degrees).

3. For y < 0 and z < 0:

Here, the point P lies in the negative y-axis direction. To make both y and z negative, we rotate the point counterclockwise by an angle of 3π/2 radians (270 degrees).

In summary, the angles of rotation for the given conditions are:

1. π radians (180 degrees)

2. π/2 radians (90 degrees)

3. 3π/2 radians (270 degrees)

By rotating the point P by these angles, we can achieve the desired conditions for the (z, y) coordinates.

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Best method to solve y=-3x+4 y = 3x-2

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 1 , 1 )

Equation Form:

x = 1 ,   y = 1

Leo has 24 golf clubs. He has 3 golf bags. Each bag contains the same number of clubs. How many golf clubs are in each bag?

Answers

Answer:

8

Step-by-step explanation:

24/3 = 8

You want to save $1,200 per quarter for 15 years towards the purchase of a trailer. You feel that you can earn 3.12% compounded quarterly for this period of time. If your first deposit is in 3 months, what is the most expensive trailer that you can purchase?

Answers

The most expensive trailer can be purchased for $39,505.41. To determine the most expensive trailer that can be purchased at an interest rate of 3.12% compounded quarterly, we calculate the future value of the savings.

The formula for compound interest is given by the equation:

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

Where:

A is the future value of the savings,

P is the quarterly deposit amount ($1,200),

r is the interest rate per compounding period (3.12%),

n is the number of compounding periods per year (quarterly, so n = 4),

and t is the number of years (15).

Plugging the values into the formula, we have:

A =[tex]1200(1 + 0.0312/4)^(4*15)[/tex]

Calculating this expression, we find the future value of the savings after 15 years to be approximately $39,505.41.

Therefore, the most expensive trailer that can be purchased is $39,505.41 or less, as that is the maximum amount that will be saved over the 15-year period.

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HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?

Answers

1 1/2+3 1/4
convert 1 1/2 to 1 2/4
1/4 + 2/4 = 3/4
1+3=4 + 3/4 = 4 3/4
turn 6 1/2 to 6 2/4
6 2/4 - 4 3/4 = 1 3/4

What is front-end ratio and how do you figure it out?

Answers

Answer:

The front-end ratio is calculated by dividing an individual's anticipated monthly mortgage payment by his/her monthly gross income. The mortgage payment generally consists of principal, interest, taxes, and mortgage insurance (PITI). Lenders use the front-end ratio in conjunction with the back-end ratio to determine how much to lend.

Step-by-step explanation:

Which linear equation represents Catherine’s situation?

Answers

Answer:

y=1/9x+104

Step-by-step explanation:

I REALLY hope this helps

Sorry if im wrong

Best of luck!

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What is the ""Mirror Image Rule""? What happens if the acceptance includes a modification of the offer terms? True or False a common point of deployment failure regarding workflow is misconfigured user privileges. Prepare an income statement, balance sheet and statement of cash flows. It doesn't need to be perfect I know there's some problem in there I just need another perspective please.Cash 3000Salaries Payable - 900Accounts Payable - 100Accounts Receivable 600Office Supplies 50Unearned shoe revenue - 200Equipment - 2600Men's Shoe Revenue - 715Rent Expense - 153Supplies Expense - 85Depreciation (Equipment) 35Salaries expense - 420Utilities Expense 35Advertising Expense 250Prepaid Rent 250Baily Prince Capital - 5000Baily Prince Draw - 500Accumulated depreciation (equipment) 100Womens Shoe Sales 750 A molecule that can elicit an adaptive immune response is called a(n): ______________ antibody antigen. interferon complement apply the gram-schmidt orthonormalization process to transform the given basis for rn into an orthonormal basis. use the vectors in the order in which they are given. b = {(8, 15), (1, 0)} Every year, as a CEO of a company, you are required to write an annual formal report. In your opinion, what are the necessary parts that you should mention in this report. Provide the justification for your choiceANSWER a):b. Give three examples of emotional terms that should be avoided in the report above. Briefly explain the main reasons why such terms should be avoided. Which feature of Renaissance art is in this sculpture? (4 points) aThe use of columns bThe use of perspective cThe use of realistic images dThe use of vivid colors What urban planning and Redevelopment lessons were learned from hurricane katrina? Take particular note of the Role of Australian Securities andInvestments Commissions (ASIC) The equation for the regression line that predicts home equity using FICO credit score as the explanatory variable is 1798X + 0 =What is the interpretation of the slope?________What is the interpretation of the intercept?________ Write a function Computeval that takes one integer parameter and returns the parameter plus 2. Ex: Computeval(3) returns 5. 1 #include 2 using namespace std; 3 4 /* Your code goes here */ 56 int main() { 7 int input; 8 int result; 9 10 cin >> input; 11 12 result = Computeval(input); 13 14 cout Part4: (Surn and difference identities) Show all your work. a) Fadel calculated sin(135) as shown below: V2 V2+2 sin(135) = sin(90 + 45) = sin 90 + sin 45 = 1 + 2 Is Fadel correct in his calculation, if NOT, Correct the calculation to get the correct answer.(3marks) DA b) Use the formula sin(A + B) = sin A cos B + cos A sin B to show sin 2x = 2 sin x cos x (Hint: Take A=B=x) (2marks) c) Use the formula cos(A + B) = cos A cos B-sin A sin B to show cos 2x = 1 - 2 sinx. (5marks) d) Use the formula sin(A + B) = sin A cos B + cos A sin B AND the answers of parts b and c to show that sin 3x = 3 sin x-4 sin x According to the text, tax planning would involve all but one of the following questions:Multiple Choicea) What will be the impact of a new tax rate on our tax liability?b) Are we minimizing our tax burden by tracking all eligible deductible expenses and transactions that qualify for tax credits?c) What would be the impact of relocating our headquarters to a different city, state or country?d) How to minimize taxes on the tax return on the fiscal year just ended? When shares are issued for noncash assets, the cost of the assets acquired is equal to the fair market value of the shares issued.True or False Point early stated In his book "Life in Management the late Dr. Ghazi Abdalrahman Al-Qosab that the most effective span of control. This type of span of control is usually associated with organizational height. is a short span; tall is a narrow span; tall has a maximum of three to six subordinates; flat D has a maximum of six to seven subordinates: flat Holding everything else constant enterprise value will increase, if Select one: O the current liabilities decrease. O the required rate of return increases. O the net debt increases. O the current assets increase. What is the domain of the given function?{x|x = -6, -1,0, 3}{yly = -7, -2, 1, 9; superposition of waves with opposite amplitudes causes any rhythmic distrubance that carries energy through matter or space is an assuming a base cpi of 1.0 without any memory stalls, what is the total cpi for p1 and p2? which processor is faster? The University Bookstore is facing significant competition from off-campus bookstores, and they are considering targeting a specific class in order to retain student business. The bookstore randomly sampled 150 freshmen and 175 sophomores. They found that 46 percent of the freshmen and 40 percent of the sophomores purchase all of their textbooks at the University Bookstore. At = 0.10, is there a significant difference in the proportions of freshman and sophomores who purchase entirely at the University Bookstore?