an without replacement, what is the probability that the first 2 selected are white and the last 2 black?

Step-by-step explanation:

30-8=22

22-6=16

16-4=12

12-2=10

10-0=10

so the next two numbers r 10,10

You would need about $17,924.30 in 20 years to have the same buying power as $50,000 today, assuming a 5% annual deflation rate.

Option D is the correct answer.

We have,

To calculate the future value of money adjusted for deflation, we can use the formula:

A = P(1 - r)^n

Where:

A = future value of money

P = present value of money

r = deflation rate

n = number of years

Plugging in the given values, we get:

A = 50,000(1 - 0.05)^20

Simplifying the expression inside the parentheses:

A = 50,000(0.95)^20

A ≈ 17,924.30

Therefore,

You would need about $17,924.30 in 20 years to have the same buying power as $50,000 today, assuming a 5% annual deflation rate.

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Answer:

D

Step-by-step explanation:

the question is not understandable, why not try explain a little longer so that it can be clear.

Answer:

This is hard

Step-by-step explanation:

I'm so sorry I can't do it

Answer:

\(\frac{69}{20}\)

Step-by-step explanation:

\(\frac{3}{7} -\frac{11}{4} +\frac{16}{5} +\frac{18}{7}\)

= \(\frac{3}{7} +\frac{18}{7}-\frac{11}{4} +\frac{16}{5}\)

= \(\frac{21}{7} -\frac{11}{4} +\frac{16}{5}\) As both denominators have 7 you can add their numerators

=\(\frac{21}{7} -(-\frac{9}{20})\)     L.C.M

=\(\frac{21}{7} +\frac{9}{20}\)   L.C.M

=\(\frac{69}{20}\)

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The functions are as follows:

Function f: R → R, f(x) = x²

Onto function: The function f is not an onto function since some negative numbers do not have square roots in real numbers.

One-to-one function: The function f is not a one-to-one function since for each positive number "x", there exist two values that we can input and get that positive number "x" output.

Example: Consider -4 which is a negative number. It doesn't have a square root in real numbers.

Function g: R → R, G(x) = x³

On to function: The function g is onto since every real number can be obtained by the function g.

One-to-one function: The function g is one-to-one since for each input "x" there is only one output.

Example: Consider the values x = 2 and x = -2. On inputting these values into the function, we get outputs 8 and -8 respectively. Thus, we get two different outputs for the same value h(x) = x³Function h: Z → Z, h(x) = x³On to function: The function h is onto since every integer has a cube root.

One-to-one function: The function h is not a one-to-one function since for each negative number "x", there exist two values that we can input and get that negative number "x" output.

Example: Consider the input -2. On input this value into the function, we get the output -8. But -(-2)³ = -8. Thus, we get two different inputs for the same value h(x) = x³.

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Answer:

1. 942.48

Step-by-step explanation:

Input the numbers in the formula.

Answer:

The answer is 91

since, The Probability is P(5'3" < X < 5'10")  = 91%

Step-by-step explanation:

We assume that the heights follow a normal distribution such that we can use the z-table

Mean = M = 5'6" = 66"

Standard Deviation = S = 2"

We have to find the probability for 5'3" = 60 + 3 = 63" and 5'10" = 60 + 10 = 70" and then subtract them to get the probability of being in between.

To find the probability, we have to find the z-score and then look up the value corresponding to it to get the probability

for 5'3"

P(X < 5'3"),

Calculating the z-score,

z = (x - M)/S

z = (63 - 66)/2

z = -3/2

z = -1.5

Finding the value,

= 0.0668

So,

P(X < 5'3") = 0.0668

for 5'10"

P(X < 5'10"),

Calculating  the z score,

z = (x - M)/S

z = (70 - 66)/2

z = 4/2

z = 2

And looking up the corresponding value we get,

= 0.9772

P(X < 5'10") = 0.9772

The probability in between is then,

P(5'3" < X < 5'10") = P(X < 5'10") - P(X < 5'3")

= 0.9772 -  0.0668 = 0.9104

so,

P(5'3" < X < 5'10")  = 0.9104 = 91.04%

For whole number,

P(5'3" < X < 5'10")  = 91%

The surface area of the cube is increasing at a rate of 49 cm²/min.

If the length of an edge of a cube is l cm.,

its volume V is l3 and surface area A is 6l2.

Differentiating V=l3 w.r.t. time,

we get,

dV/dt = 3l2dldt

dV/dt=10 cm3min,

when l=90

dl/dt=103×902

=12430

As A=6l2

dA/dt =12l×dldt

=12×90×12430

=49 cm2min

The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume.

It differs from 2D shapes in that it adds a third dimension, known as height or thickness, in addition to length and breadth.

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Answer:

\(\frac{34}{15}\) or \(2 \frac{4}{15}\)

Step-by-step explanation:

Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.

100x = 226.6666...

10x = 22.6666...

Subtracting the two equations, we have:

90x = 204

x = 204/90

Answer:

what the shape so i can find the area.

Step-by-step explanation:

Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.

To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares).  In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.

The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.

Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.

Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.

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Answer:

container A

Step-by-step explanation:

In Container A, we can plot the points (0,60) adn (2, 35)

The slope is :

\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)

For container B, the slope is:

\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)

The negative sign of the slope indicates the direction of the slope

\(|m_A| = 12.5\\\\|m_B| = 11\)

12.5 > 11

The slope of container A is steeper than container B

Therefore, the water is draining out of container A at a faster rate than container B

Answer:

a) Define x as # of quarters.  Then, # of nickels = x + 5.  b) Define y as # of nickels.  Then, # of quarters = y - 5.  c) # of quarters = 4, and # of nickels = 9.  d) 4 < 5, so the answer is No.  

Step-by-step explanation:

c) In units of cents, and the variable x, we have that 25x + 5(x+5) = 145, so that

25x + 5x + 25 = 145,

30x + 25 = 145,

30x = 120

x = 4 = # of quarters, and x+5 = 4+5=9 = # of nickels

You are looking for a number that is a multiple of 3, 4, 5, and 6, and is a factor of 120 divided by 7, leaving a remainder of 4.

Let's break down the problem step by step:

1. Find a number that is a multiple of 3, 4, 5, and 6.
  - The smallest number that meets this criteria is the least common multiple (LCM) of 3, 4, 5, and 6.
  - The LCM of these numbers is 60.

2. Find a number that is a factor of 120 divided by 7.
  - The result of dividing 120 by 7 is 17 with a remainder of 4.
  - The number we are looking for must be a factor of 120 divided by 7, so it must be a factor of 17.
  - The factors of 17 are 1 and 17.

3. Find a number that leaves a remainder of 4.
  - Since the number must leave a remainder of 4, we need to add 4 to the factors of 17.
  - The numbers that meet this criteria are 1 + 4 = 5 and 17 + 4 = 21.

So, the numbers that satisfy all the given conditions are 5 and 21.

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Answer:

The answer is A.

Step-by-step explanation:

You have to apply :

\( {(a - b)}^{2} ⇒ {a}^{2} - 2ab + {b}^{2} \)

So for this question :

\( {(3a - b)}^{2} \)

\( = {(3a)}^{2} - 2(3a)(b) + {(b)}^{2} \)

\( = 9 {a}^{2} - 6ab + {b}^{2} \)

Answer:

51 minutes of piano practice a day for 5 weeks

Step-by-step explanation:

The perimeter of the letter "T" is 22 inches.

Since the letter "T" is formed by placing two rectangles next to each other, its perimeter is the sum of the perimeters of the two rectangles minus the shared side.

The shared side will be the width of the rectangles, which is 2 inches.

The lengths of the rectangles are 4 inches each.

Let's calculate the perimeter:

Perimeter of the top rectangle = 2 * (length + width) = 2 * (4 + 2) = 12 inches

Perimeter of the bottom rectangle = 2 * (length + width) = 2 * (4 + 2) = 12 inches

Now, subtract the shared side (width) once:

Shared side = 2 inches

Total perimeter = (Perimeter of top rectangle + Perimeter of bottom rectangle) - Shared side

Total perimeter = (12 + 12) - 2 = 22 inches

So, the perimeter of the letter "T" is 22 inches.

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Answer:

D

Step-by-step explanation:

Is just 9/11 x 2

ajnansjs

Answer:

Option D is correct

Step-by-step explanation:

9/11=x/22

(9/11)×22=x

18=x

or. x=18

The frequency distribution table of the data is illustrated below.

The data we have been given represents the percentage of people who have completed 4 or more years of college education in different states. To create a frequency distribution, we need to first decide on the number of classes we want to use. In this case, we will use 7 classes.

Next, we need to determine the range of values for each class. To do this, we first find the minimum and maximum values in the data set, which are 18.9 and 37.9, respectively.

The range of values for each class will be (max value - min value) / number of classes, which in this case is (37.9 - 18.9) / 7 = 2.86.

We will start with the first class, which will include all values from 18.9 to 21.76 (the lower limit of the first class plus the range of values for each class). The next class will include values from 21.76 to 24.62, and so on, until we reach the final class which will include all values from 33.18 to 36.04 (the upper limit of the final class plus the range of values for each class).

To create the frequency distribution, we count the number of values in the data set that fall into each class. For example, the first class includes values between 18.9 and 21.76, and there are 2 values in the data set that fall into this range (21.4 and 20.0). We continue this process for each class until we have a table that shows the frequency of values in each class.

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Complete Question:

Percentage of People Who Completed 4 or More Years of College Listed by state are the percentages of the population who have completed 4 or more years of a college education. Construct a frequency distribution with 7 classes.

21.4,26.0,25.3,19.3,29.5,35.0,34.7,26.1,25.8,23.4,27.1,29.2,24.5,29.5,22.1,24,3,28.8,20,0,20.4,26.7,35.2,37.9,24.7,31.0,18.9,24.5,27.0

Answer:

Here,

We know that cosD= b/h

=21/75

=7/25