Identify the property that is demonstrated by each equation. Select your answers from the drop-down lists.
15+3=3+15 demonstrates the .

0+9=9 demonstrates the .

12⋅b=b⋅12 demonstrates the .

1⋅f=f demonstrates the

The MATLAB code to solve the system of equations | x | | y | = ??? | z | is by using the function linsolve.

Solving a system of equations involves finding the values of variables that make all the equations in the system true simultaneously. In MATLAB, we can use different methods to solve a system of equations, including matrix inversion, Gaussian elimination, and iterative methods.

To solve the system of equations, we need to use MATLAB's built-in function "linsolve". The function takes two arguments: the coefficient matrix of the system of equations, and the right-hand side vector of the system of equations.

Here is a sample MATLAB code to solve the system of equations:

A = [a1, a2, a3; b1, b2, b3; c1, c2, c3];

B = [x; y; z];

X = linsolve(A, B);

In this code, A is the coefficient matrix of the system of equations and B is the right-hand side vector of the system of equations. The function linsolve returns the solution vector X of the unknowns x, y, and z.

It's important to note that the size of the coefficient matrix must match the number of unknowns in the system of equations, and the system of equations must have a unique solution. Otherwise, the function linsolve will return an error message.

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Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

15/17

Step-by-step explanation:

SOH-CAH-TOA

Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.

Answer:

(3, -6) reflected across the x axis

(-3, 6) reflected across the y axis

Step-by-step explanation:

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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Answer:

8.5%

Step-by-step explanation:

.17/2 = 0.085 or 8.5%

Answer:

I think it may be 8.5%, I could be wrong.

Step-by-step explanation:

2 people out of 100% are chosen and 17% have dogs

Step-by-step explanation:

x=8-y

2x-y=7

2(8-y)-y=7

16-2y-y=7

-3y=-9

y=3

x=8-y

x=8-3=5

Answer:

Hello

Step-by-step explanation:

Méthode par combinaisons linéaires:

\(\left\{ \begin{array}{ccc|c|c}x+y&=&8&1&-2\\2x-y&=&7&1&1\\\end {array} \right.\\\\\\\left\{ \begin{array}{ccc}3x&=&15\\-3y&=&-9\\\end {array} \right.\\\\\\\boxed{\left\{ \begin{array}{ccc}x&=&5\\y&=&3\\\end {array} \right. }\\\)

Proof:

5+3=8 and 2*5-3=7

Answer: Total cost of their meal is $78

Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78

65*0.2 = 13

65+13=78

Answer:

B. <

Step-by-step explanation:

Each number in the sequence is greater than the previous number so the correct answer is b. <

Answer:

A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.

B) point (1,2) fits both equations.

Step-by-step explanation:

Or solve by brute force...

The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.

6X - 4 = 5X -3

X = 1  so

y = 6X - 4

Y = 6 - 4

Y = 2

The tension on the rope that makes an angle of 54° with the ceiling is approximately 464.9 N, and the tension on the rope that makes an angle of 22° with the ceiling is approximately 315.1 N.

For a 15 kg mass being suspended by two ropes attached to a ceiling, the tension on each rope can be determined given that the two ropes make angles of 54° and 22° with the ceiling. The force of gravity acting on the mass is 9.8 N/kg and it is directed downwards.How to determine the tension on each of the ropes?The figure shows the 15 kg mass suspended by two ropes. Let the tension on the rope that makes an angle of 54° be T1 and the tension on the rope that makes an angle of 22° be T2.Taking components of the tension T1 perpendicular to the ceiling, we have:T1cos(54°) = T2cos(22°) ------------(1)Taking components of the tension T1 parallel to the ceiling, we have:T1sin(54°) = W + T2sin(22°) -------------(2)where W is the weight of the 15 kg mass which is given by:W = mg = 15 kg × 9.8 N/kg = 147 NSubstituting the value of W in equation (2), we have:T1sin(54°) = 147 N + T2sin(22°) -------------(3)Solving equations (1) and (3) simultaneously,T2 = [T1cos(54°)]/[cos(22°)]Substituting the value of T2 in equation (3), we have:T1sin(54°) = 147 N + [T1cos(54°) × sin(22°)]/[cos(22°)]Multiplying by cos(22°), we have:T1sin(54°)cos(22°) = 147 Ncos(22°) + T1cos(54°)sin(22°)Simplifying,T1[cos(54°)sin(22°) - sin(54°)cos(22°)] = 147 Ncos(22°)T1 = 147 Ncos(22°) / [cos(54°)sin(22°) - sin(54°)cos(22°)]T1 = 147 Ncos(22°) / [sin(68°)]T1 ≈ 464.9 NTherefore, the tension on the rope that makes an angle of 54° with the ceiling is T1 ≈ 464.9 N.The tension on the rope that makes an angle of 22° with the ceiling is:T2 = [T1cos(54°)]/[cos(22°)]T2 ≈ 315.1 NTherefore, the tension on the rope that makes an angle of 22° with the ceiling is T2 ≈ 315.1 N.

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Answer: 1/6x+4/3

Step-by-step explanation:

How should we write this equation?

1/3 [1/2x+2(2)]

Now simplify the expression:

1/3(1/2x+4)

Distribute:

1/6x+4/3

The answer to the lowest terms is 1/6x+4/3

The unit rate for the cereal is  104 calories per cup and there are 416 calories in 4 cups

From the question, the given parameters are

Calories = 78 calories

Size of cups = 3/4-cup

The unit rate of the calories per cup is calculated as

Unit rate = Number of Calories/Size of cup

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 78/(3/4)

Evaluate the quotient

So, we have the following equation

Unit rate = 104

So, the unit rate is 104 calories per cup

For four cups of cereal, we have

Calories = 104 x 4

Evaluate

Calories = 416

So, the number of calories is 416 calories

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Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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Answer:

25 copies rented

Step-by-step explanation:

r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start

we know on the 6 weeks passed and 4 copies were rented

4 = r1 - 5(6)

4 = r1 - 30; add 30 on both sides

34 = r1

r = 34 - 5t now plug t = 2 in for this function

r = 34 - 5(2)

r = 35 - 10

r = 25 copies rented

To prove that the polynomial f(x) = x^3 + 2x^2 + 3x + 4 has a root in the 13-adic numbers, we need to show that it has a solution in the p-adic field with p = 13.

First, let's consider the 13-adic numbers. The 13-adic numbers are an extension of the rational numbers that capture the notion of "closeness" under the 13-adic norm. The p-adic norm |x|_p is defined as the reciprocal of the highest power of p that divides x, where p is a prime number.

Now, we can use Hensel's lemma to show that f(x) has a root in the 13-adic numbers. Hensel's lemma states that if a polynomial f(x) has a root modulo p (in this case, modulo 13), and the derivative of f(x) with respect to x is not congruent to 0 modulo p, then there exists a solution in the p-adic numbers that lifts the root modulo p.

In this case, we can see that f(1) ≡ 0 (mod 13), and the derivative of f(x) is f'(x) = 3x^2 + 4x + 3 ≡ 10x^2 + 4x + 3 (mod 13). Evaluating the derivative at x = 1, we get f'(1) ≡ 10 + 4 + 3 ≡ 0 (mod 13). Therefore, Hensel's lemma guarantees the existence of a root in the 13-adic numbers.

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Answer:

It's B.9

Step-by-step explanation:

Because

11+9=20

20+9= 29

29+9= 38

The common difference is positive because the arithmetic sequence is increasing.

Answer:

B. arithmetic sequence; 9

Step-by-step explanation:

An arithmetic sequence is a sequence where there is a common difference between each term. A common difference is a number that is added to the previous term to get the current term. For a sequence to be considered arithmetic this common difference must remain constant. This sequence is arithmetic because each time 9 is added to the previous term to get the next one. So the common difference is 9 and B is correct.

The median for the next batch of observations is 5.

The median is the value in the middle of a data set, which indicates that 50% of the data points have a value less than or equal to the median, and 50% have a value greater than or equal to the median. The median is the number in the middle of a set of numbers. The median represents the 50th percentile of the set of numbers. In other words, the median is the value in the center of a set of numbers where half are less than the median and half are more than the median.

Here,

given set of observation,

=3,4,5,8,9

n=5

median=(5+1)/2

=3rd term

=5

The median for following set of observation is 5.

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The marginal profit if you sell 150 pieces of pie is $1.20 per piece.E. The marginal profit if you sell 150 pieces of pie is the additional profit made by selling one more unit of a good.

Given,The cost to make x servings of apple pie is C(x) = 300+ 0.1x +0.003x².

The price to sell one piece of pie is $4.00.So, the revenue function, R(x) can be written asR(x) = price per unit × number of units soldR(x) = 4x.

The profit function, P(x) is given by the difference between the revenue function and cost function i.e.,P(x) = R(x) - C(x)

Substituting R(x) = 4x and C(x) = 300 + 0.1x + 0.003x² in P(x), we haveP(x) = 4x - (300 + 0.1x + 0.003x²)

P(x) = 4x - 300 - 0.1x - 0.003x²

P(x) = - 0.003x² + 3.9x - 300.

The marginal profit function is given by P'(x) = R'(x) - C'(x).Let's find R'(x) and C'(x).Differentiating R(x) = 4x with respect to x, we getR'(x) = 4Differentiating C(x) = 300 + 0.1x + 0.003x² with respect to x, we getC'(x) = 0.1 + 0.006x.

Substituting R'(x) = 4 and C'(x) = 0.1 + 0.006x in P'(x), we getP'(x) = 4 - (0.1 + 0.006x)P'(x) = 3.9 - 0.006x.

Now, let's find the marginal profit if we sell 150 pieces of pie.

Substituting x = 150 in P'(x), we getP'(150) = 3.9 - 0.006 × 150P'(150) = $1.20 per piece.

The marginal profit if we sell 150 pieces of pie is $1.20 per piece.

The marginal profit is the additional profit made by selling one more unit of a good.So, if we sell one more piece of pie, the profit will increase by $1.20.

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Answer:

no

Step-by-step explanation:

because it is not equal numbers

Answer:

Probably 4

Step-by-step explanation:

My day was pretty great, so I felt like answering this question to help out in any way possible. I hope to hear about your day, too, soon!

Answer:

12

Step-by-step explanation:

x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12

Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2

x^2 + 25 = 169

x^2 = 144

x = 12

Answer:

Step-by-step explanation:

9=n+3

n+3=9

n+3-3=9-3

n=6

Answer:

73° & 107°

Step-by-step explanation:

1. Those angles are supplementary, so they add up to 180 degrees.

2. (8x - 20) + (8x + 8) = 180

3. You need to add both 8x's together to make 16x. Do the same with -20 & 8. That makes -18. This is binomial addition.

4. 16x - 18 = 180

5. Add 18 to both sides

6. 16x = 198

7. Divide both sides by 16

8. x = 12.375

9. Plug in your x for both angles.

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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Answer:

6453422487457245248525657894762356142124548769807-8569438623`53``24687805768352132446879t7458354625431`3227877976543212345678909876543211234567890987654321`234567890987654321234567890987654321234567890987654321234567890987654321234567890987654321234567890-09876543234567890987654321234567890098765432109876543212345678909876543212345678909876543212345678909876543212345678909876543212345678909876543212345678909876543212

Step-by-step explanation:

Answer:

5.27777777

repeating 7s forever

rounded to 2 decimal places is:. 5.28

Hey there!

In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)

Here’s the formula

a/b = a ÷ b = [decimal form]

ANSWERING YOUR QUESTION

95/18

= 95 ÷ 18

= 5.277778 ≈ 5.3 or 5.28

Therefore, your answer is: 5.277778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The area is 480

Step-by-step explanation:

Area you have to multiply the sides, so you multiply them.

10 x 6 x 8

60 x 8

480

Your answer is 480

I hope it helps! Have a great day!

Lilac~

Answer:

15 weeks

Step-by-step explanation:

read the graph at the number of words correct

those past 15.words count the weeks in the y.axis