Five sisters each but matching scarves in two pairs of socks the scores are priced at $12 if the total bill for all five sisters was $120 what was one pair of socks cost

Answer:

0; one real roots

* the answer is C

By finding 59% of 50.7 million we know that approximately 29.9 million travelers are originating from the Southeast.

To find the number of travelers originating from the southeast, we need to calculate 59% of the total number of travelers.
The total number of travelers estimated is 50.7 million.
To find 59% of 50.7 million, we can multiply 50.7 million by 0.59:
\(50.7 million * 0.59 = 29.913 million\)

Therefore, approximately 29.9 million travelers are originating from the Southeast.

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To the nearest tenth of a million, approximately 20.3 million travelers are originating from the southeast region.

The ratio of the numbers of travelers from the southeast, midwest, and northeast regions is given as 6:5:4, respectively. To find the number of travelers originating from the southeast region, we need to determine the value of one part of the ratio.

Let's assume the common ratio value is "x". According to the given ratio, the number of travelers from the southeast region can be represented as 6x.

We know that the total number of travelers is estimated to be 50.7 million. Therefore, we can set up the following equation:

6x + 5x + 4x = 50.7

Combining like terms, we get:

15x = 50.7

To solve for x, we divide both sides of the equation by 15:

x = 50.7 / 15

Evaluating this expression, we find:

x ≈ 3.38

Now, to find the number of travelers originating from the southeast region, we multiply the value of x by the corresponding ratio:

6x ≈ 6 * 3.38 ≈ 20.28 million

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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The surface area of the rectangular prism is 588 square yards. The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism.

It is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.

- Face 1: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.

- Face 2: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.

- Face 3: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.

- Face 4: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.

- Face 5: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.

- Face 6: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.

The surface area =  54 + 54 + 96 + 96 + 144 + 144

= 588 square yards.

Surface area of the rectangular prism is 588 square yards.

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The size of the sample space in this experiment can be found by calculating the number of ways the family can choose 9 states from the 50 US states. This can be done using the combination formula, which is given by:

nCr = n! / (r! * (n-r)!)

In this case, n represents the total number of states (50) and r represents the number of states the family wants to choose (9). So, the formula becomes:

50C9 = 50! / (9! * (50-9)!)

Simplifying the expression:

50C9 = (50 * 49 * 48 * 47 * 46 * 45 * 44 * 43 * 42) / (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Calculating this expression will give you the size of the sample space, which is the number of ways the family can choose 9 states from the 50 US states.

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The size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.

The sample space in this experiment refers to the total number of possible outcomes. In this case, the family is choosing 9 states to visit from the 50 US states. To find the size of the sample space, we can use the concept of combinations.

Since the family is choosing 9 states out of 50, we can calculate the number of combinations using the formula:

    \(n_C_r = \frac{n!}{(r!(n-r)!)}\), where n is the total number of items and r is the number of items chosen.

In this case, n = 50 (total number of US states) and r = 9 (number of states chosen). Plugging these values into the formula, we get:

    \(50_C_9 = \frac{50!}{(9!(50-9)!)}\)

Now let's simplify this expression:

    \(\frac{50!}{(9!(50-9)!)} = \frac{50!}{(9!(41)!)}\)

Using factorials, we can calculate:

    50! = 50 * 49 * 48 * ... * 2 * 1
    9! = 9 * 8 * ... * 2 * 1
    41! = 41 * 40 * ... * 2 * 1

Now we can substitute these values back into the expression:

    \(\frac{50!}{(9!(41)!)} =  \frac{(50 * 49 * 48 * ... * 2 * 1)}{((9 * 8 * ... * 2 * 1)(41 * 40 * ... * 2 * 1)) }\)

After simplifying, we find that the size of the sample space is a very large number.

In conclusion, the size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.

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The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be x value is 79/19 and y = 18/19.

The equal symbol (=) is used in mathematical equations to denote equality between two propositions. Mathematical equations, which seem to be expressions of reality, are used to demonstrate how different numerical elements can be compared. For instance, the equal sign splits the integer 12 or the equation y + 6 = 12 into 2 different halves. One can compute how many characters each edge of a symbol has. Contradictory meanings are common in symbols.

Here,

Given :

=> x = 7 -3y

and

=> 4x -7y = 10

=> 4(7-3y) - 7y = 10

=> 28 -12y - 7y = 10

=> 28 - 19y = 10

=> 18 = 19y

=> y = 18/19

=> x = 7 - 3(18/19)

=> x =  133 - 54 / 19

=> x = 79 /19

Therefore , the solution of the given problem of equation comes out to be x value is 79/19 and y = 18/19.

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Answer:

40%

Step-by-step explanation:

To start off, we are going to place the number of movies he thought were very good, over the movies he watched over the entire year into a fraction (or a certain number over the total amount)!

18/45 or \(\frac{18}{45}\)

Next, we are going to place this into our calculator and will get a decimal value.

18/45 → 0.40

Last, we are going to change this number into a percentage, by multiplying our decimal by 100.

0.40 → 40%

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

28,800

Step-by-step explanation:

Answer:

The ratio is  2:1

Step-by-step explanation:

black : yellow

4                  2

Divide each side by 2

4/2                2/2

2                    1

Answer:

D

Step-by-step explanation:

500 user in a day that mean in 2 days you get 1000 user cause the double of 500 is 1000

Answer:

Your answer is A. the measure of angle 2 is 83° because angles 1 and 2 are corresponding angles.

Answer:

D is correct

Step-by-step explanation:

First we find 20% of the price and subtract it

\(45*0.20=9\\45-9=36\)

Next we find how much tax would be

\(36*0.0825=2.97\)

then we add the two amounts together to get the final price

\(36+2.97=38.97\)

The rejection region is t > 1.761.

To test the hypothesis that the mean fee for car washers (including tips) is greater than $12, we can perform a one-sample t-test.

Sample mean \(\bar{x}\)  = $14.9

Sample standard deviation (s) = $6.75

Sample size (n) = 15

Significance level (α) = 0.05 (5%)

Since the sample size is small (n < 30) and the population standard deviation is unknown, we will use the t-distribution for inference.

Define the null and alternative hypotheses:

Null hypothesis (H₀): μ ≤ $12 (Mean fee for car washers is less than or equal to $12)

Alternative hypothesis (H₁): μ > $12 (Mean fee for car washers is greater than $12)

Determine the critical value (rejection region) based on the significance level and degrees of freedom.

The degrees of freedom (df) for a one-sample t-test is calculated as df = n - 1 = 15 - 1 = 14.

Using a t-table or statistical software, we find the critical t-value for a one-tailed test with α = 0.05 and df = 14 to be approximately 1.761.

Calculate the test statistic:

The test statistic for a one-sample t-test is given by:

t = (\(\bar{x}\)  - μ) / (s / √n)

Plugging in the values:

t = ($14.9 - $12) / ($6.75 / √15) ≈ 2.034

Make a decision:

If the test statistic t is greater than the critical t-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value (2.034) is greater than the critical t-value (1.761), indicating that it falls in the rejection region.

State the conclusion:

Based on the test results, at the 5% significance level, we have enough evidence to reject the null hypothesis.

We can infer that the mean fee for car washers (including tips) is greater than $12.

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The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

The gross earnings are determined by multiplying the pay rate by the number of hours worked.

Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.

Total deductions are the sum of federal taxes, state taxes, and social security deductions.

Net pay is obtained by subtracting the total deductions from the gross earnings.

To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.

Therefore, the gross earnings are $7.50 * 30 = $225.

Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.

The federal taxes amount to 18% * $225 = $40.50.

Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.

The state taxes amount to 4% * $225 = $9.

To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.

The social security deduction amounts to 7.05% * $225 = $15.86.

The total deductions are the sum of the federal taxes, state taxes, and social security deduction.

Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.

Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.

Therefore, the net pay is $225 - $65.36 = $159.64.

In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

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Answer:

17 22 34 39 42 45 47 47 48 54

Step-by-step explanation:

simple order of numbers :)

Answer:

your anwser is 7.74596669241

Answer:

\(\sqrt{60} = 7.74596669241\)

Step-by-step explanation:

The polar equation for the curve represented by the given Cartesian equation x2 + y2 = 4cx is r = 4c cos(θ).

To convert a Cartesian equation to a polar equation, we can use the following formulas:

x = r cos(θ)

y = r sin(θ)

In this case, we have x2 + y2 = 4cx. Substituting the first two formulas into this equation, we get

r2 cos2(θ) + r2 sin2(θ) = 4cr cos(θ)

Since cos2(θ) + sin2(θ) = 1, we can simplify this equation to

r2 = 4cr cos(θ)

Dividing both sides by c, we get the polar equation

r = 4c cos(θ)

This equation represents a circle with radius 4c and center (0, 0).

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Answer: uses a visual representation of the logical flow of steps needed to reach a conclusion.

Step-by-step explanation:

A flowchart proof is a visual representation that is made of boxes with which arrows are used to show the flow of steps which take place. It uses a visual representation of the logical flow of steps needed to reach a conclusion.

The true facts which are the statements, will be placed in the boxes that are drawn. The arrows in flowchart proof shows the progression of statements made.

A flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

Here, we have to find the definition or the use of the flowchart proof.

It is a method to prove any theorems or corollaries in a more easily understandable way.

In the flowchart proof, the statements are written in an order of series with the reasoning behind the statement written below them.

The statements are usually written inside a box and underneath it will be the logical reasoning.

So the correct option is that it uses a visual representation of the logical flow of steps needed to reach a conclusion.

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We use the Chain Rule in differentiation , to find the derivative of composite functions .

The Chain Rule states that the derivative of a composite function is  calculated by taking the derivative of the outer function first and then multiplying it by the derivative of inner function.

The chain rule can be mathematically written as ;

⇒ d/dx (f(g(x))) = f'(g(x)) × g'(x)  ;

The chain rule is used when we have a function that is composed of two or more functions, and we want to find the derivative of the composite function.

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The option in the question that is equivalent to 3/8 is 2/5.

We can simplify 3/8 and 2/5 so that they have a common denominator:

3/8 = 3*(5/5)/(85/5) = 15/40

2/5 = 2(8/8)/(5*8/8) = 16/40

Since 15/40 and 16/40 have the same denominator, we can compare their numerators to see which is larger:

15/40 < 16/40

Since 16/40 is larger, we can conclude that 2/5 is greater than 3/8.

Therefore, the option that is equivalent to 3/8 is 2/5.

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

The answer to your question is:

4 and -12

Step-by-step explanation:

as proven here:

4 x -12 = -48

4 + (-12) = -8

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 - 8x - 48 = 0

If so, the solution to factor the quadratic equation above is:

(X + 4 ) (X - 12)

To summarize, since 4 and -12 multiply to -48 and add up -8, you know that the following is true:

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

The probability that at least one party will request a high chair is 0.2626

This is a binomial problem with number of trial (n) = 10, probability of success (p) = 0.03

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

Given: n = 10, p = 0.03, x ≥1

probability of failure (q) = 1 - 0.03 = 0.97

The probability that at least one party will request a high chair will be:

P(x ≥1 ) = 1 - P (x = 0)

P(x ≥1 ) = 1 - (1 × 0.03⁰ ×  0.97¹⁰⁻⁰)

P(x ≥1 ) = 1 - (1 × 1 × 0.97¹⁰)

P(x ≥1 ) = 1 -  (0.97¹⁰)

P(x ≥1 ) =  0.2626

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Corrected Question

When hugo is serving at a restaurant, there is a 0.03 probability that each party will request a high chair for a young child. During one hour, hugo served 10 parties. Assuming that each party is equally likely to request a high chair, what is the probability that at least one party will request a high chair?

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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Answer:

y = x + 5

Step-by-step explanation:

The output (y) is five more than the input (x)

and this is expressed symbolically as

y = x + 5

You write f (-2) = 3 as (-2, 3) and f (5) = 7 as (5, 7).

The answer for the graph is \(\mathbf{\frac{4}{3}}\textbf{\textit{x}}\mathbf{+\frac{1}{3}}\).