Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

the probability that preparation is within 2 minutes of the mean time is 0.134.

An illustration of a probability distribution shows the anticipated results of potential values for a specific data generation procedure.

Axiomatic, theoretical and experimental are the three types of probability.

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

Using cumulative functi0n we get

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

=\(\frac{37-20}{50-20}-\frac{33-20}{50-20}\\ =0.567-0.433\\=0.134\)

Thus the probability that preparation is within 2 minutes of the mean time is 0.134.

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

C

Step-by-step explanation:

Perimeter : total length of sides

Perimeter of the rectangle

= r + s + r + s

=2r + 2s

Answer:

C - 2r + 2s

Step-by-step explanation:

l = Length

b = Breadth

Perimeter of a rectangle = 2 x ( l + b )

Use distributive property and it will be-

( 2 x l ) x ( 2 x b )

Hope this helped!! <33

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

If λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.

The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.

Then, we have:

Av = λv

Taking transpose on both sides we have:

\(v^T A^T = \lambda v^T\)

The above equations thus relates transpose of vector and transpose of A to λ.

Now, consider a matrix:

\(\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right]\)

Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.

The eigenvectors are:

\(v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T\)

Now, for transpose of A:

\(A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right]\)

The eigen vectors are:

\(u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T\)

Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of \(A^T\). Show with an example that the eigenvectors of A and \(A^T\) are not the same.

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Solution

- The question gives us a table of values and we are asked to make an inference about the correlation coefficient of the x and y values.

- The table given shows us that for every x-value, the y-value is always constant. This is the most significant feature of the table

- The definition of the Correlation Coefficient is that it is:

A number between +1 and −1 which is calculated so as to represent the linear interdependence of two variables or sets of data.

- This implies that the correlation coefficient shows us the strength of the linear relationship between x and y as x changes.

- However, from our question, the values of y do not change despite the values of x changing.

Final Answer

Option A

Answer:

Step-by-step explanation:

percentage increase = (final - initial)/initial

increase = (672 - 480)/480

               = 192/480

               = 0.4 * 100 = 40% increase

Answer:

A) Slope =

\(m = \frac{1}{4} x\)

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)

so in this case x1 & y1 are assigned to (4,1)

and x2 & y2 are assigned to (8,2)

so substitute the numbers into the formula and solve !

\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

Answer:

7.8 miles

Step-by-step explanation:

5.9 + 1.9 = 7.8miles

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Step-by-step explanation:

check the pic for workings

ans is 343.35KN

Answer:

that's

Step-by-step explanation:

+4y -12 thank you

Answer:

see below

Step-by-step explanation:

4y -12 hope it helps u

Answer:

Kaylee must leave the money in the savings account for 3 years.

Step-by-step explanation:

Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:

14,000 + (14,000 x 0.08 x X) = 17360

1,120X = 17,360 - 14,000

X = 3,360 / 1,120

X = 3

Therefore, Kaylee must leave the money in the savings account for 3 years.

One example of a problem involving multiplication of fractions that can be made easier using the associative property is as follows:

Given the expression (2/3) * (4/5) * (6/7), we can use the associative property to rearrange the terms and simplify the expression. Specifically, the associative property states that the order in which we perform operations does not change the result. In this case, we can rearrange the terms as follows:

(2/3) * (4/5) * (6/7) = (4/5) * (2/3) * (6/7)

Then, we can simplify the expression using the commutative property of multiplication (which states that the order of the terms does not affect the result of the multiplication):

(4/5) * (2/3) * (6/7) = (2/3) * (4/5) * (6/7)

Finally, we can simplify the expression by multiplying the fractions:(2/3) * (4/5) * (6/7) = (12/21).

Using the associative property allows us to rearrange the terms and simplify the expression, making the problem easier to solve.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The rational equation with the desired asymptotes and intercepts is given by:

\(f(x) = \frac{-10(x^2 - 3x - 18)}{9(x^2 - 5x + 4)}\)

The vertical asymptotes are related to the roots of the  denominator, hence:

\(f(x) = \frac{a}{(x - 4)(x - 1)} = \frac{a}{x^2 - 5x + 4}\)

The x-intercepts are related to the numerator of the function, hence:

\(f(x) = \frac{a(x + 3)(x - 6)}{x^2 - 5x + 4} = a\frac{x^2 - 3x - 18}{x^2 - 5x + 4}\)

The y-intercept is to find a, hence, when x = 0, y = 5, thus:

-18a/4 = 5

18a = -20

a = -10/9

Hence the function is:

\(f(x) = \frac{-10(x^2 - 3x - 18)}{9(x^2 - 5x + 4)}\)

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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The probability that both people are hopelessly romantic is 0.0025 and the probability that at least one person is hopelessly romantic is 0.0975

Let's denote the event of being hopelessly romantic as "H".

Given that 5% of the population is hopelessly romantic, we have P(H) = 0.05.

Since the events of selecting two people are independent, we can use the multiplication rule of probability to calculate the probability that both people are hopelessly romantic:

P(H and H) = P(H) x P(H) = 0.05 x 0.05 = 0.0025

To calculate the probability that at least one person is hopelessly romantic, we can use the complement rule of probability.

P(neither H nor H) = P(not H) x P(not H) = (1 - P(H)) x (1 - P(H)) = 0.95 x 0.95 = 0.9025

So, the probability that at least one person is hopelessly romantic is:

P(H or H) = 1 - P(neither H nor H) = 1 - 0.9025 = 0.0975

Therefore, the probability that at least one person is hopelessly romantic is 9.75%.

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Answer:

20. bcg

21. 124

Step-by-step explanation:

Answer:

1, 3, & 5

Step-by-step explanation:

All I did to solve this was look up a picture of the polar coordinate system and then match the lines from the image shown to the ones on the polar circle.

The designer places the images in Options 1,3 and 5 are correct.

We have given that,

A web designer is placing images on a website using polar coordinates along the lines shown in the diagram.

Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.

We have to determine equations that represent the lines on which the designer places the images.

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.

The grid is split into 12 pieces and so they can be put into fractions with a denominator of either 3 or 6.

If you split the circle into portions that match the denominator, you can find 2/3, 17/6, and -11/3's on the circle.

Therefore options 1,3 and 5 are correct.

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Hi there.

The answer is D. - 2

Explanation:

We calculate the slope by using rise/run.

\(m = \frac{y_2 - y_1}{x_2 - x_1} \)

Our rise is (-2,5) and our run is (3,-5)

\(m = \frac{ 5 -( - 5 )}{ - 2 - 3} \\ m = \frac{ 5 + 5}{ - 5 } \\ m = \frac{10}{ - 5} \\ m = - 2\)

Answer:

Tthe slope of the line will be: m = -2

Hence, option D is true.

Step-by-step explanation:

Given the points

Finding the slope between (-2, 5) and (3, -5)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-2,\:5\right),\:\left(x_2,\:y_2\right)=\left(3,\:-5\right)\)

\(m=\frac{-5-5}{3-\left(-2\right)}\)

\(m=-2\)

Therefore, the slope of the line will be: m = -2

Hence, option D is true.

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.

Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.

The initial product of the two numbers is:

A x B

If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:

(12A) x (B/4) = (12/4) x A x B = 3AB

So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.

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Answer:

∠\(DEC\)

Step-by-step explanation:

vertical angles are opposite angles that are made by 2 intersecting lines

Answer:

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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Answer:

36 is the answer

Step-by-step explanation:

Hope it will help you