How to solve and find what A, B, and C is

Answer:

qdcb

Step-by-step explanation:

The probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, is 1 in 6,497,400.

The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the contest with 52 entrants and no one winning more than one prize can be calculated as follows:
1. Probability of Bo winning the first prize: 1/52 (since there are 52 people, and Bo is one of them)
2. Probability of Colleen winning the second prize after Bo has won the first prize: 1/51 (since there are now 51 people left)
3. Probability of Jeff winning the third prize after Bo and Colleen have won: 1/50 (50 people remaining)
4. Probability of Rohini winning the fourth prize after Bo, Colleen, and Jeff have won: 1/49 (49 people left)
To find the overall probability, multiply all individual probabilities together:
(1/52) x (1/51) x (1/50) x (1/49) = 1/6,497,400

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The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the drawing is approximately 1.0625 × 10^-9.

To find the probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, follow these steps:
Calculate the total number of ways to choose 4 winners from 52 people (order matters, since the prizes are distinct). This is a permutation, so use the formula nPr = n! / (n - r)!,

where n = 52 (total number of people) and r = 4 (total number of prizes). In this case, 52P4 = 52! / (52 - 4)! = 52! / 48!.
Calculate the probability of Bo winning the first prize:

There is 1 favorable outcome (Bo winning) out of 52 possible outcomes, so the probability is 1/52.
Calculate the probability of Colleen winning the second prize, given that Bo has already won:

There is 1 favorable outcome (Colleen winning) out of the remaining 51 possible outcomes, so the probability is 1/51.
Calculate the probability of Jeff winning the third prize, given that Bo and Colleen have already won:

There is 1 favorable outcome (Jeff winning) out of the remaining 50 possible outcomes, so the probability is 1/50.
Calculate the probability of Rohini winning the fourth prize, given that Bo, Colleen, and Jeff have already won: There is 1 favorable outcome (Rohini winning) out of the remaining 49 possible outcomes, so the probability is 1/49.
To find the overall probability of this specific order of winners (Bo, Colleen, Jeff, Rohini), multiply the individual probabilities: \((1/52) × (1/51) × (1/50) × (1/49) ≈ 1.0625 × 10^-9.\).

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Answer:

B 16a + 20

Step-by-step explanation:

4(4a + 5) = 4 times 4a + 4 times 5

= 16a + 20

The 1st option is correct.

Answer:

m/15=-3

Step-by-step explanation:

When you see quotient it means to divide

is means equal

I hope this helps

Answer:

\(f(0) = 0\)

\(f(70) = 16.74\)

\(f(58.5) = 15.30\)

\(x \geq 0\)

Step-by-step explanation:

Given

\(f(x) = 2\sqrt x\)

Solving (a): f(0)

\(f(x) = 2\sqrt x\)

\(f(0) = 2 * \sqrt 0\)

\(f(0) = 2 * 0\)

\(f(0) = 0\)

Interpretation:

This implies that, the cost of 0 paints is $0

Solving (b): f(70)

\(f(x) = 2\sqrt x\)

\(f(70) = 2 * \sqrt{70\)

\(f(70) = 2 * 8.37\)

\(f(70) = 16.74\)

Interpretation:

This implies that, the cost of 70 paints is $16.74

Solving (c): f(58.5)

\(f(x) = 2\sqrt x\)

\(f(58.5) = 2 * \sqrt{58.5\)

\(f(58.5) = 2 * 7.65\)

\(f(58.5) = 15.30\)

Interpretation:

This implies that, the cost of 58.5 paints is $15.30

Solving (d): The domain

\(f(x) = 2\sqrt x\)

Set the radicand x to \(\geq 0\)

i.e.

\(x \geq 0\)

Hence:

The domain is \(x \geq 0\)

Answer:

32

Step-by-step explanation:

18 +2(7).

2 x 7 = 14

18 + 14 = 32.

we know that

Two angles are complementary, if their sum is equal to 90 degrees

Example

If A and B are complementary

A+B=90 degrees

If A=30 degrees

then

The value of B is

B=90-30=60 degrees

Answer:

We will need to shade the region above f(x) and the region below the function g(x).

How to transform the graph into the solution set?

We have:

f(x) = x^2 - 1

g(x) = -x^2 + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Answer:

9.67 inches altogether

Step-by-step explanation:

2.91 + 6.76 = 9.67

2.91

+6.76

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

 9.67

this is the correctanswer

Answer:

See Below

Step-by-step explanation:

Solve by substituting

-4 = 3x + 2

-2          -2

-6 = 3x

3x/3 = -6/3

x = -2

Answer:

x = -2

Step-by-step explanation:

So we are given the function f(x) = 3x + 2 and we are asked to find the value of x that makes f(x) = -4. To do this, we can replace f(x) with -4 in the given function and solve for x.

-4 = 3x + 2

Swap sides.

3x + 2 = -4

Subtract 2 from both sides.

3x = -6

Divide both sides by 3.

x = -2

So we have found that x = -2 when f(x) = -4. This means that when x = -2, f(x) = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

\(69.8637\)

(4d.p)

Answer:

The correct answer is option 2: -1

Step-by-step explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

\(x^3+x^2+x+1\)

Putting x=1

\(=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4\)

1 is not zero of the function.

Putting x = -1

\(=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0\)

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1

If there are implicit costs of production, economic profit will be lower than accounting profit.

Implicit costs refer to the opportunity costs of using resources in a particular production process. These costs are not explicitly recorded in accounting statements but represent the value of alternative uses of resources. When implicit costs exist, economic profit will be lower than accounting profit. Accounting profit is calculated by subtracting only explicit costs, such as wages, rent, and materials, from total revenue.

On the other hand, economic profit takes into account both explicit and implicit costs. Implicit costs represent the foregone opportunities or benefits that could have been obtained if resources were used in alternative ways. Since accounting profit does not consider these opportunity costs, it is generally higher than economic profit. Economic profit reflects the true economic performance of a business by considering all costs, both explicit and implicit.

Therefore, if there are implicit costs of production, economic profit will be lower than accounting profit.

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A: accounting profit will exceed economic profit.

Implicit costs of production refer to the opportunity cost of using resources that a firm already owns rather than selling them in the market. These costs are not reflected in accounting records but are included in economic analysis. Accounting profit is calculated by subtracting only explicit costs from total revenue, while economic profit is calculated by subtracting both explicit and implicit costs from total revenue. Since accounting profit does not include implicit costs, it will always be higher than economic profit. In some cases, economic profit may even be negative, indicating that a firm is better off not producing anything at all. Thus, option A is the correct answer. Option B is incorrect because economic profit can be positive or negative. Option C is incorrect because economic profit is always lower than accounting profit. Option D is incorrect because accounting profit can be positive or negative. Option E is incorrect because economic profit and accounting profit are not always equal.

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Answer:

i dont know the language  .................

Step-by-step explanation:

a) The quadratic function is factored as follows: f(x) = 4(x - 0.5)(x + 2.5).

b) The x-intercepts of the quadratic function are given as follows: x = -2.5 and x = 0.5.

c) The end behavior of the quadratic function is given as follows: as x -> ± ∞, f(x) -> ∞.

d) The graph is constructed at the end of the answer, considering the x-intercepts, the y-intercept, the end behavior and the vertex.

The quadratic function for this problem is defined as follows:

f(x) = 4x² + 8x - 5.

Hence the coefficients are given as follows:

a = 4, b = 8, c = -5.

The discriminant is given as follows:

D = 8² - 4 x 4 x (-5)

D = 144.

Hence the x-intercepts are given as follows:

Considering the intercepts and the leading coefficient of a = 4, the function is factored as follows:

f(x) = 4(x - 0.5)(x + 2.5).

As the leading coefficient is positive, the parabola is concave up, meaning that the end behavior is that the function increases to infinity both at the left tail and at the right tail.

The y-intercept is given as follows:

f(0) = 4(0)² + 8(0) - 5

f(0) = -5.

The coordinates of the vertex are given as follows:

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y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+c, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

x₁=9, y₁=0,x₂=0,y₂=3

Apply in slope formula

m=3-0/0-9

m=-1/3

So slope of line passing through (9,0) and (0,3) is -1/3.

y=-1/3x+c

Put (9,0) in x and y place

0=-1/3(9)+c

0=-3+c

c=3

y=-1/3x+3

Hence y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)

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Step-by-step explanation:

We will put this in y=mx +b form so first calculate the slope

m= (-4)-(-5)/(-4)-(-6)

m= 1/2. So y= x/2. +b

Now just substitute the x and y values of either given point to calculate b

I will use (-4,-4)

-4= (1/2)(-4) +b

-4= -2 +b

b=-2

So equation is y= x/2 -2

...................................

I search it.

Answer:

Step-by-step explanation:

Equation of line in slope- y intercept form:

First find the slope.

\(\boxed{Slope= \dfrac{y_2-y_1}{x_2-x_1}}\)

          \(\sf = \dfrac{-4-[-5]}{-4-[-6]}\\\\=\dfrac{-4+5}{-4+6}\\\\=\dfrac{1}{2}\)

Equation:

\(y =\dfrac{1}{2}x+b\)

Choose any point and substitute the x and y value in the above equation.

(-6,-5)

\(\sf -5=\dfrac{1}{2}*(-6) + b\\\\-5 = -3+b\\\\-5+3=b\\\\-2 = b\)

Equation:

      \(y = \dfrac{1}{2}x - 2\)

Answer:

n = 27

Step-by-step explanation:

168n is a multiple of 324

168(27) = 4536 is a multiple of 324

BRAINLIEST?

Answer:

n = 27

Step-by-step explanation:  

168x(27) = 4536 which is a multiple of 324

Answer:208

Step-by-step explanation:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

The situation forms a linear equation. Therefore,

y = mx + b

where

Therefore, let's model the equation linearly,

where

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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The probability of rolling an odd number the first time and a number greater than 3 the second time is 1/4

The probability of rolling an odd number on a single die is 3/6 or 1/2, since there are three odd numbers (1, 3, and 5) out of six possible outcomes.

The probability of rolling a number greater than 3 on a single die is 3/6 or 1/2, since there are three numbers greater than 3 (4, 5, and 6) out of six possible outcomes.

To find the probability of both events happening together (rolling an odd number first and a number greater than 3 second), we need to multiply their individual probabilities:

P(odd number first and number > 3 second) = P(odd number first) * P(number > 3 second)

P(odd number first and number > 3 second) = (1/2) * (1/2) = 1/4

Therefore, the probability is 1/4.

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The width of the floor if the length is (x - 13) units is (x+13) units.

The area of Rectangle is length times of width.

Given that area of the floor is (x²-169) sq units.

We have to find the width of the floor when  length is (x - 13) units.

Area=Length×Width

x²-169=(x-13)width

We know that (a²-b²)=(a+b)(a-b)

(x-13)(x+13)=x-13width

Divide both sides by (x-13)

x+13=width

Hence, the width of the floor if the length is (x - 13) units is (x+13) units.

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Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!

Have a great day!

Brainliest please!

Hope this helps friend!

Answer:

Using the given information from the graph, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Step-by-step explanation:

For this problem, we are asked to find the x-intercept and the y-intercept of the line. The x-intercept represents the point where the line hits the x-axis. The y-intercept represents the point where the line hits the y-axis.

So, knowing this, we have the find the points where the line hits the x-axis and the point where the line hits the y-axis.

The line hits the x-axis at (-1,0). The line hits the y-axis at (0,-4)

So, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Approximately 62.5% of the 44 players or 27.75 players, weigh less than or equal to 229 pounds.

Given the information from the box plot, we can estimate the percentage of players weighing less than or equal to 229 pounds. First, we need to find the number of players by dividing the summary of weights by the weight of one player: 44 players. Next, we can estimate the number of players weighing less than or equal to 229 pounds by finding the percentage of the data that is below 229 pounds and multiplying it by the total number of players. Based on the quartiles given in the box plot, we know that 50% of the data is below 214 pounds and 75% of the data is below 253 pounds. We can estimate that approximately 62.5% of the data is below 229 pounds by taking the average of these two values: (50% + 75%) / 2 = 62.5%. So, approximately 62.5% of the 44 players, or 27.75 players, weigh less than or equal to 229 pounds

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Complete Question

a high school has 44 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing less than or equal to 229 pounds?

The box Plot, the minimum weight is 154 pounds. The first quartile Q1 is 159 which 25% of the data. The second Quartile Q2 is 214 which 50% of the data. The third Quartile Q3 is 253 which is 75% and the maximum weight is 268.

Therefore, the numerator of the given equation comes out to be 4x+6

A fraction denotes a component of a whole or, more generally, any number of equal parts. In conversational English, a fraction, such as one-half, eight-fifths, or three-quarters, denotes the quantity of a specific size of portions.

Given

\(\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}\)

A common denominator must exist for the fractions before we can add them.

Factor the denominator of the first fraction

\(\frac{x}{(x+1) (x+2)} + \frac{3}{x+1}\)

Subtract (x + 2) from the second fraction's numerator and denominator.

\(\frac{x}{(x+1) (x+2)} + \frac{3(x+2)}{(x+2)(x+1)}\)  ← Currently, fractions share a common denominator.

Add the numerators leaving the denominators

= \(\frac{(x+2)(x+3)}{(x+2)(x+1)}\)  

= \(\frac{x^{2} +3x+6}{(x+2)(x+1)}\)

=  \(\frac{4x+6}{(x+2)(x+1)}\)

simplified sum with numerator 4x + 6

Therefore the numerator of the given equation comes out to be 4x+6.

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The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

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