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Write and simplify a polynomial expression to find the area of 4 circles. Each circle has a radius of (4a-6)

Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

Therefore, the probability that all four members of the search committee will be women is 1.42%.

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Hence , the graph of the given coordinates (3,4) is mentioned below.

We have given a point (3 , 4) .

Plot 3 in the x - axis and 4 in the y -axis .

The point A represent the coordinates (3,4) and AB represent the distance traveled along  x - axis and AB represent the distance traveled along y -axis in the graph given below .

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The complete question is given below :

please graph the coordinates (3 , 4) .

Given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

In this question, we have been given a phrase.

We need to write a numerical expression for the phrase and simplify.

Given phrase is: '114 less than -49'

We can write this in mathematical expression form as,

114 < -49

Now add 49 to both the sides.

114 +49 < -49 + 49

163 < 0

which is False.

Therefore, given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

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Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer:

area of triangle is length *breathe

4.5 * 5.5 = 24.75

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

C) \(45^{\circ}\)

Step-by-step explanation:

There are 2 pi radians in 360 degrees:

 \(\frac{17\pi}{4}rad \cdot\frac{360^{\circ}}{2\pi{rad}}=765^{\circ}=45^{\circ}\)

Answer: I think it 45°

Explanation:360-315=45

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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The price of one coat is $46.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Given that,

a store has 25% off sale on coats.

Discounted price of one coat = $34.50

We have to find the original price of the coat. Let it be x.

x - (25% x) = 34.5

x - 0.25x = 34.5

0.75x = 34.5

x = 46

Hence the original price of the coat is $46.

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The probability that 81 randomly selected washing machines will have a mean replacement time less than 8.8 years is 0.2061, or approximately 20.61%.  

We have the following information:μ = 8.9 yearsσ = 1.1 yearsSample size n = 81

The Central Limit Theorem can be applied here as the sample size is more than 30.

The sampling distribution of the mean will follow the normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

This means that, the distribution of the mean replacement time for 81 washing machines will be normally distributed with mean = 8.9 years and standard deviation=1.1/√81=0.122 years

Therefore, the z-score can be calculated as follows:

z=(x-μ)/σz=(8.8-8.9)/0.122= -0.82To find the probability that 81 randomly selected washing machines will have a mean replacement time less than 8.8 years, we need to find the area to the left of z = -0.82 in the standard normal distribution table.

Using the table or a calculator, this is found to be 0.2061.

Thus, the probability that 81 randomly selected washing machines will have a mean replacement time less than 8.8 years is 0.2061, or approximately 20.61%.

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Answer:

yes

Step-by-step explanation:

Answer:

No it is 10,000

Step-by-step explanation:

100*100 is like adding 2 zeros to 100. so 1 zero would make it 1000, and 2 zeros would make it 10,000

A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.

One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.

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Answer: the probability would be 1:5

Step-by-step explanation: since there are 2 m you would put that on top and divide it by all the others and there are 10 of them and then simplifie it and get the answer

Answer:

P ( not M)= 4/5

Step-by-step explanation:

We want to find the probability that if a card is chosen, it does not have the letter M on it.

The probability can be found by creating a fraction with the number of cards that do not have M over the total number of cards.

P (not M) = cards without M / total cards

The word complement has 10 letters, therefore there is a total of 10 cards.

P (not M) = cards without M/ 10

There are 2 cards with an M. That will leave 8 cards without an M. (10 total cards - 2 cards with M= 8 cards without M).

P (not M)= 8/10

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

P (not M)= (8/2) / (10/2)

P (not M)= 4/ (10/2)

P (not M) = 4/5

The probability of choosing a card without the letter M on it is 4/5

Answer: 115/12

Step-by-step explanation:

2 3/6 can be written as 15/6

2 2/3 can be written as 8/3

4 5/12 can be written as 53/2

The common factor here is 12

So we have

30/ 12 + 32/12 + 53/12 = 115/12

Answer:

A coupon for 30%

Step-by-step explanation:

A coupon takes the a certain percentage of a price and subtracts it (a discount). A coupon for 30% off takes 30% of the price which is $60 and subtracts it, same goes for the $20 off coupon. Because a greater percentage is being taken off of the price, the 30% off coupon would save someone more money.

The required canoeist's paddling rate in calm water is 3 mph.

Let's denote the canoeist's paddling rate in calm water as "x" mph.

When the canoeist paddles upstream against the current, their effective speed is the difference between their paddling rate and the current's rate, or (x - 3) mph. The distance traveled upstream is also 8 miles.

Using the formula:

distance = rate x time

We can set up two equations based on the distance traveled and the effective speed for each leg of the trip:

Downstream leg: 8 = (x + 3) * t1

Upstream leg: 8 = (x - 3) * t2

Since the total time for the round trip is 2 hours, we know that:

t1 + t2 = 2

Now we can solve for x by substituting t1 = 8/(x+3) and t2 = 8/(x-3) into the equation above:

8/(x+3) + 8/(x-3) = 2

Multiplying both sides by (x+3)(x-3) gives:

8(x-3) + 8(x+3) = 2(x+3)(x-3)

Simplifying this expression gives:

16x = 48

x = 3

Therefore, the canoeist's paddling rate in calm water is 3 mph.

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Answer:

12

Step-by-step explanation:

The algebraic equation of the verbal statement is (x + 2) / 5 = 8 and the value of x is 38.

Algebraic Equation

An algebraic equation means the statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Given,

The quotient of two more than a number and five is eight.

Here we  need to translate the given verbal statement into an algebraic expression and solve it.

The quotient of two more than a number and five is eight.

Let, the number be x.

According to the question, the equation is

=> (x + 2) / 5 =8

=> x + 2 = 8 x 5

=> x + 2 = 40

=> x = 40 - 2

=> x = 38

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Answer:

For the first question, D is the correct answer.

For the second question, B is the correct answer.

Step-by-step explanation:

First question:

\(5.89 + .61(30) = 24.19\)

\(5.89 + .61(35) = 27.24\)

So D is the correct answer.

Second question:

A function is a relation in which each element in the domain corresponds to one and only one element in the range. That said, relations A, C, and D are not functions since in each of these relations, one element in the domain corresponds to two elements in the range. Only relation B is a function.

Step-by-step explanation:

√(3 * 7 * 2 * 7 * 3 * 2 = √(2² * 3² * 7²) = 2 * 3 * 7 = 42.

√(13² * 5²) = 13 * 5 = 65.

Answer:

x=2

Step-by-step explanation:

You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2

Answer:

x=2

Step-by-step explanation:

Distribute the 2.5 and 4 out

15x - 10 = 10 + 6 +2x

Add the constant variables together

15x - 10 = 16 +2x

Move the x on one side and the constant on the other

13x = 26

Divide both sides to find x

x=2

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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The sample size used in the study is 54 approximately.

In the question, we are given that a 95% confidence interval for a population mean was reported to be 152 to 160.

We are asked to find the sample size that would have been studied if the population standard deviation is equal to 15.

The confidence level is given = 95%.

The Z-Score that corresponds to the given confidence level = 1.96.

The given standard deviation, σ = 15.

The confidence interval is given to be 152 to 160, that is, the Upper confidence limit, UCL = 160, and the lower confidence limit, LCL = 152.

We assume the sample size to be n.

The Margin of error, MOE, can be given by two formulas:

Equating the two formulas, we get:

(UCL - LCL)/2 = Zσ/√n,

or, √n = (2Zσ)/(UCL - LCL),

or, n = {(2Zσ)/(UCL - LCL)}²,

or, n = {(2*1.96*15)/(160 - 152)}²,

or, n = (58.8/8)²,

or, n = 7.35²,

or, n = 54.0225,

or, n ≈ 54.

Thus, the sample size used in the study is 54 approximately.

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Assuming question is:

3(0)= -2x+9

and we have to solve for x:

0 = -2x + 9

We take x to one side, so it becomes:

2x = 9

Now we divide by 2 on both sides:

2x/2 = 9/2

x = 9/2

The correct answer is:

Answer:

Answer is 125

Step-by-step explanation:

5^3= 5*5*5= 125

Answer:

64 and 125

Step-by-step explanation:

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Hello and greetings ririleyyyii

The discriminant of 6y² - 9y + 1 = 0 equals 57.

6y² - 9y + 1 = 0

We identify the coefficients a, b and c of the quadratic equation.

The coefficients of a quadratic equation are the numbers that multiply the variables together with the independent term.

ax² + bx + c = 0

So the coefficients are: a = 6, b = -9, c = 1.

We evaluate the discriminant by substituting a, b and c inside the expression b² - 4ac.

The exercise remains: (-9)² - 4 × 6 × 1

                                      (-9)² - 4 × 6

                                      81 - 4 × 6 = 24, so 81 - 24 = 57

The discriminant of 6y² - 9y + 1 = 0 equals 57.

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The answer is  3u•v = 3(-6) = -18. So, the result is a Scalar

In physics, a scalar quantity is a physical quantity that has only magnitude, but no direction. Examples of scalar quantities include mass, time, temperature, energy, and distance. Scalar quantities are represented by a single numerical value, and they can be added, subtracted, multiplied, and divided like regular numbers.

On the other hand, a vector quantity is a physical quantity that has both magnitude and direction. Examples of vector quantities include displacement, velocity, acceleration, force, and momentum. Vector quantities are represented by a magnitude (the size or amount of the quantity) and a direction (the orientation of the quantity in space), and they are usually written as boldface letters or with an arrow above them. Unlike scalar quantities, vector quantities cannot be added, subtracted, multiplied, or divided like regular numbers. Instead, they must be combined using vector operations such as vector addition, dot product, and cross product.

The dot product of two vectors u and v is defined as:

u•v = (u1 * v1) + (u2 * v2)

where u1 and u2 are the components of vector u, and v1 and v2 are the components of vector v.

Using this formula, we can calculate:

u•v = (7 * -2) + (2 * 4) = -14 + 8 = -6

So, 3u•v = 3(-6) = -18.

Therefore, the result is a scalar.

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