The measure of the complement of the angle of measure 50 degree is......... .

a. P(1) = 0.3556, P(2) = 0.3111, P(3) = 0.0444; Py(1) = 0.5333, Py(2) = 0.4444, Py(3) = 0.1222 b. P(N = 1 | M = 2) ≈ 0.2574 c.P(M = 2, N = 3) ≈ 0.038 d.  Pr(M>N) = 0.5333.

a. The marginal probability function of m is given by P(m) = Σn P(m, n) and that of n is given by P(n) = Σm P(m, n).

Thus, the marginal PDFs are: P(1) = 1/5 + 8/45 + 2/15 = 0.3556 P(2) = 7/45 + 4/45 + 1/15 = 0.3111

P(3) = 1/9 + 2/45 + 1/45 = 0.0444 P(1) + P(2) + P(3) = 1 Py(1) = 1/5 + 7/45 + 2/15 = 0.5333

Py(2) = 8/45 + 4/45 + 1/15 = 0.4444 Py(3) = 2/15 + 1/15 + 1/45 = 0.1222 Py(1) + Py(2) + Py(3) = 1.

b. We need to find P(N = 1 | M = 2).

From the joint probability distribution table, we can see that P(N = 1, M = 2) = 8/45. P(M = 2) = 0.3111.

Using the conditional probability formula, P(N = 1 | M = 2) = P(N = 1, M = 2)/P(M = 2) = 8/45 ÷ 0.3111 ≈ 0.2574

c. We need to find the probability that M = E and N = N.

Since the two random variables are independent, we can simply multiply their probabilities: P(M = E, N = N) = P(M = E) × P(N = N).

The probability distribution of M is given by: M=1 with probability 0.3556 M=2 with probability 0.3111 M=3 with probability 0.0444

The probability distribution of N is given by: N=1 with probability 0.5333 N=2 with probability 0.4444 N=3 with probability 0.1222

Therefore, P(M = 2, N = 3) = P(M = 2) × P(N = 3) = 0.3111 × 0.1222 ≈ 0.038

d. We need to find P(M > N).

There are three possible pairs of values for (M, N) such that M > N: (M = 2, N = 1), (M = 3, N = 1), and (M = 3, N = 2).

The probabilities of these pairs of values are: P(M = 2, N = 1) = 1/5 P(M = 3, N = 1) = 1/9 P(M = 3, N = 2) = 1/15

Therefore, P(M > N) = P(M = 2, N = 1) + P(M = 3, N = 1) + P(M = 3, N = 2) = 1/5 + 1/9 + 1/15 = 0.5333.

Answer: a. P(1) = 0.3556, P(2) = 0.3111, P(3) = 0.0444; Py(1) = 0.5333, Py(2) = 0.4444, Py(3) = 0.1222 b. 0.2574 c. 0.038 d. 0.5333

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Given that f is a continuous function on R, f(x) > 0 for all x, and [tex]f(x)^{2}[/tex] = 2f for all x ≥ 0, we need to show that f(x) = x for all x ≥ 0.

Let's assume that there exists a value a ≥ 0 for which f(a) ≠ a. Since f(x) is continuous, the Intermediate Value Theorem can be applied. Consider the function g(x) = f(x) - x. Since g(a) ≠ 0, either g(a) > 0 or g(a) < 0.

If g(a) > 0, it implies that f(a) - a > 0, which leads to f(a) > a. But this contradicts the given condition that f(x) > 0 for all x. Hence, g(a) cannot be greater than 0.

Similarly, if g(a) < 0, it implies that f(a) - a < 0, which leads to f(a) < a. Again, this contradicts the given condition that f(x) > 0 for all x. Therefore, g(a) cannot be less than 0.

Since g(a) cannot be greater than 0 or less than 0, the only possibility is that g(a) = 0, which implies f(a) = a. This holds true for all a ≥ 0. Hence, we can conclude that f(x) = x for all x ≥ 0.

Therefore, based on the given conditions, we have shown that f(x) = x for all x ≥ 0.

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Answer:

C)  6

Step-by-step explanation:

use slope formula:

(-4 - 3) / (-1 - x) = 1

cross-multiply:

-7 = -1 - x

-6 = -x

6 = x

The correct answer is The logic behind the Secant method is to iteratively update two initial guesses, x0 and x1, based on the function evaluations at those points. The formula x2 = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0)) is used to update the guesses and obtain a new approximation, x2

Here's an example MATLAB code that implements the Secant method to find the root of a function:

% Function to find the root of

function y = myFunction(x)

[tex]y = x^3 - 5*x^2 + 6*x - 2;[/tex]

end

% Secant method

x0 = 0; % Initial guess x0

x1 = 1; % Initial guess x1

approx_error = 1; % Initial approximation error

while approx_error > 0.001 % Set the desired approximation error threshold

[tex]x2 = x1 - (myFunction(x1) * (x1 - x0)) / (myFunction(x1) - myFunction(x0));[/tex]

[tex]approx_error = abs((x2 - x1) / x2) * 100; % Calculate the approximation[/tex]error

   x0 = x1;

   x1 = x2;

The logic behind the Secant method is to iteratively update two initial guesses, x0 and x1, based on the function evaluations at those points. The formula x2 = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0)) is used to update the guesses and obtain a new approximation, x2. The iteration continues until the approximation error, calculated as the absolute difference between x2 and x1 divided by x2, falls below the desired threshold (in this case, 0.001).

To compare the Secant method with the False-position method, you can apply both methods to the same function and compare their convergence and accuracy. You can also analyze the number of iterations required for each method to achieve a certain level of approximation error.

Please note that in order to generate graphs and screenshots with results, it would be best to run the code in a MATLAB environment and visualize the results directly.

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A net income forecast for Excellence Corporation is made by an analyst for the next fiscal year. Low-end estimate of net income is $261,000High-end estimate is $312,000. Net income follows a continuous uniform distribution. To find: The probability that net income will be greater than or equal to $299,500. In order to solve the problem, we need to calculate the probability that net income will be between $299,500 and $312,000.

Then, we will subtract it from the probability that net income will be between $261,000 and $312,000. This difference will give us the required probability. P(261000 <= X <= 312000) = (312000-261000) / (312000-261000) = 0.2P(299500 <= X <= 312000) = (312000-299500) / (312000-261000) = 0.55P(X >= 299500) = P(299500 <= X <= 312000) - P(261000 <= X <= 312000) = 0.55 - 0.2= 0.35 or 35%.

Thus, the probability that net income will be greater than or equal to $299,500 is 35%. Therefore, the answer is: 24.5%.

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The Europay, Mastercard and Visa (EMV) for not purchase the snow removal machine is $31,000.

The expected monetary value (EMV) for not purchasing the snow removal machine is $31,000. This value is calculated by multiplying the probabilities of each winter condition by the corresponding profits and summing them up. The probabilities for a mild winter, typical winter, and severe winter are 0.3, 0.5, and 0.2, respectively.

The profits for each condition without the machine are $20,000, $530,000, and $50,000. By multiplying each profit by its probability and adding them together, we get the EMV of $31,000 for not purchase the machine.

In detail, the EMV is calculated as follows:

EMV = (Probability of Mild Winter * Profit for Mild Winter) + (Probability of Typical Winter * Profit for Typical Winter) + (Probability of Severe Winter * Profit for Severe Winter)

EMV = (0.3 * $20,000) + (0.5 * $530,000) + (0.2 * $50,000)

EMV = $6,000 + $265,000 + $10,000

EMV = $31,000

Therefore, the EMV for not purchasing the snow removal machine is $31,000.

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An edge is formed when two faces come together. The number of edges in the given solid is 18.

An edge is formed when two faces come together. A cube, for example, has 12 edges, a cylinder has two, and a spherical has none.

The number of edges in the given solid is 18.

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Answer:

The length is 86 yards.

Step-by-step explanation:

63 is the width so,

63 + 63 = 126

Now subtract this from the total perimeter,

298 - 126 = 172

and divide by 2 because there are sides with the same length

172/2 = 86

The length is 86.

Answer:

B: 6.5 inches

Step-by-step explanation:

Given,  

Area of the rectangle = 45.5 sq. inches  

The Base of the rectangle = 7 inches  

45.5 = l * 7  

l = 45.5/7

l = 6.5 inches

Answer:

silly billy your a tree with branches and leaves hogwarts has an olw that deleivers letters

Step-by-step explanation:

Approximately 48 subjects are needed to estimate the mean number of books read the previous year within six books with 90% confidence.

To estimate the mean number of books read the previous year within a certain margin of error, we need to determine the sample size required. In this case, we want to estimate the mean with a 90% confidence level and a margin of error of ±6 books.

The formula to calculate the required sample size is given by:

Since the standard deviation is unknown, we can use the initial survey result, s = 13.6 books, as an estimate for σ. However, this may result in a larger sample size than necessary.

Referring to the critical values table, we find the z-value corresponding to a 90% confidence level is approximately 1.645. Plugging in the values into the formula:

Since the sample size must be a whole number, we round up to the nearest subject. Therefore, approximately 48 subjects are needed to estimate the mean number of books read the previous year within six books with 90% confidence.

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Z-score is used to test the hypothesis that the part is coming out longer than usual. Z-score is defined as the number of standard deviations away from the mean.

It is calculated using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the population standard deviation. In the given problem, the population mean is μ = 12.05 cm and the population standard deviation is σ = 0.119 cm. The sample mean is x = 12.25 cm. The sample size is n = 19.

Therefore, the formula to calculate the z-score is Z = (x - μ) / (σ / √n) Substituting the values, we get z = (12.25 - 12.05) / (0.119 / √19) ≈ 6.586Therefore, the z-score which would be used to test the hypothesis that the part is coming out longer than usual is approximately 6.586.

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Answer: 30 minutes so 1/2 hour

Step-by-step explanation:

Because 3 miles = 1 hour

1.5 times 2 = 3

divide 2 on both sides

Answer:

2 hours

Step-by-step explanation:

divide3 by 1.5 and that is how long it will take you

Answer:

360

Step-by-step explanation:

In order to test if we have adopted the wrong functional forms of independent variables in a regression model Y = α + βX + u, we can use diagnostic plots of the residuals.

Residuals are the differences between the actual values of the dependent variable and the predicted values of the dependent variable. We can plot the residuals against the independent variables to check if there is any functional form that has not been captured by the model, which would indicate that the model has adopted the wrong functional form of independent variables.

If there is no pattern in the residuals when plotted against the independent variables, then it can be concluded that the model has captured the correct functional form of the independent variables. However, if there is a pattern in the residuals, it would indicate that there is some functional form that has not been captured by the model, and we would need to explore different functional forms of the independent variables to see which one fits the data better. This can be done by using different functional forms of the independent variables, such as polynomial, logarithmic, exponential, etc., and comparing the results using various statistical tests.

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If the residuals are normally distributed, then it suggests that the functional form of the independent variable is correct. If they are not, then it suggests that the functional form of the independent variable is incorrect.Overall, it is important to test for the functional forms of independent variables to ensure that the results of the regression model are unbiased and accurate.

In a regression model, it is important to make sure that the functional forms of the independent variables are correct. If they are not, the results of the model may be biased and incorrect. There are several ways to test if the functional forms are correct or not. Below are some of the methods:Plotting the residuals against the independent variable: If the functional form of the independent variable is correct, then the residuals should be randomly distributed around zero, without showing any patterns. If there are patterns in the residuals, then it suggests that the functional form is incorrect. Testing for linearity: One way to test for linearity is by including the square or cubic terms of the independent variable in the model and testing their significance. If the squared or cubic term is significant, then it suggests that the functional form of the independent variable is incorrect. Testing for additivity: One way to test for additivity is by including interaction terms between the independent variables and testing their significance. If the interaction term is significant, then it suggests that the functional form of the independent variable is incorrect. Testing for normality: One way to test for normality is by examining the normal probability plot of the residuals.

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Answer:

5x

Step-by-step explanation:

got it right on edg

Answer:

19)

20)

21)

22)

23)

24)

Answer:

He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side

[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]

[tex] {x}^{2} = 64 + 225[/tex]

[tex] {x}^{2} = 289[/tex]

[tex]x = \sqrt{289} [/tex]

[tex]x = 17[/tex]

Answer:

x = [-b ±√(b² - 4ac)]/2a

Step-by-step explanation:

ax² + bx + c = 0

dividing through by a, we have

ax²/a + bx/a + c/a = 0

x² + bx/a + c/a = 0

x² + bx/a = -c/a

we now add th square of half the coefficient of x to both sides, thus

x² + bx/a + (b/2a)² = -c/a +  (b/2a)²

simplifying the left hand side and right hand side, we have

(x + b/2a)² = -c/a + b²/4a²

re-arranging, we have

(x + b/2a)² = b²/4a² - c/a

taking L.C.M of the right hand side, we have

(x + b/2a)² = (b² - 4ac)/4a²

taking square-root of both sides, we have

√(x + b/2a)² = ±√[(b² - 4ac)/4a²]

x + b/2a = ±√(b² - 4ac)/2a

So, x = -b/2a ±√(b² - 4ac)/2a

taking the L.C.M of the right hand side, we have

x = [-b ±√(b² - 4ac)]/2a

The equation that represents the sentence "0.7 increased by a number is 3.8" is d) 0.7 + n = 3.8

To understand why this equation is the correct representation, let's break it down. The phrase "a number" can be represented by the variable n, which stands for an unknown value. The phrase "0.7 increased by" implies addition, and the number 0.7 is being added to the variable n. The result of this addition should be equal to 3.8, as stated in the sentence.

Therefore, we have the equation 0.7 + n = 3.8, which indicates that when we add 0.7 to the unknown number represented by n, we obtain a value of 3.8. This equation accurately captures the relationship described in the sentence, making option d, 0.7 + n = 3.8, the correct choice.

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To prove that the set S = 2Z = {2x : x ∈ Z}, the set of even integers, is equicardinal with Z, the set of all integers, we need to show that there exists a one-to-one correspondence (bijection) between the two sets.

A one-to-one correspondence between two sets exists if every element of one set is paired with a unique element from the other set, and vice versa.

Let's define a function f: Z -> S such that f(x) = 2x for every x ∈ Z.

This function assigns each integer x from Z to its corresponding even integer 2x in S.

To prove that f is a bijection, we need to show that it is both injective (one-to-one) and surjective (onto).

Injectivity: Suppose f(a) = f(b) for some a, b ∈ Z. Then, 2a = 2b. Dividing both sides by 2, we get a = b. Hence, f is injective.

Surjectivity: For every y ∈ S, y = 2x for some x ∈ Z. Choosing x = y/2, we have f(x) = 2x = y. Therefore, f is surjective.

Since f is both injective and surjective, it is a bijection. Thus, S and Z are equicardinal sets.

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Answer:

See the attached file

Step-by-step explanation:

Given data

Say numbers of printer made per hour = 5 printers

Hence in 1 hour, they will make 5 printers

in 4 hours they will make

=4*5

=20 printers

The graph of this situation when plotted will give a straight line graph

Kindly find attached a straight line graph for your reference

we can conclude that 12/17 is the larger fraction between 12/17 and 12/19 using the part-whole meaning of a fraction.

To determine which fraction is larger between 12/17 and 12/19 using the part-whole meaning of a fraction, we need to compare the sizes of the parts (numerators) relative to the wholes (denominators) for both fractions.

Let's consider the fractions 12/17 and 12/19:

For 12/17:

- The numerator, 12, represents a part of the whole.

- The denominator, 17, represents the total number of equal parts into which the whole is divided.

For 12/19:

- The numerator, 12, also represents a part of the whole.

- The denominator, 19, represents the total number of equal parts into which the whole is divided.

Since the numerators are the same (both 12) and we are comparing the fractions with the same numerator, the fraction with the smaller denominator represents larger parts or more significant portions of the whole.

Comparing the denominators, we can see that 17 is smaller than 19. This means that the whole in 12/19 is divided into fewer parts compared to the whole in 12/17. Therefore, each part of the whole in 12/17 is larger than each part in 12/19.

As a result, we can conclude that 12/17 is the larger fraction between 12/17 and 12/19 using the part-whole meaning of a fraction.

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Answer:

Meryann brought 6 friends to the party

Step-by-step explanation:

y=9x+24

24 is your constant because the cost for all the pizza won't change

9x will change, so x represents the number of friends she brought

and y will be 78 because it's the total amount of money

78=9x+24

all you have to do is solve this equation

54=9x

x=6

Answer:

Meryann had 6 friends at the party.

Step-by-step explanation:

Total cost = $78

Pizza cost = $24

1 Movie Ticket = $9

Movie Tickets = Total Cost - Pizza Cost

Movie Tickets = $78 - $24 = $54

No. of Friends = Movie Tickets ÷ Movie Ticket

No. of Friends = $54 ÷ $9 = 6

No. of Friends = 6

Answer:

f(x) = 76

Step-by-step explanation:

All you do is plug-in for x: (x = 9)

f(x) = 8x + 4

f(x) = 8(9) + 4

f(x) = 72 + 4

f(x) = 76

Answer:

its 2

Step-by-step explanation:

I have consulted many nice people ( my idiot friends) they all say 2 good luck

Answer:

3.14152628283829299348473929

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Putting values in the equation

A = 1/2(7)(8 + 14)

= 1/2(7)(22)

= 1/2(154)

= 77 ft. sq

Option A is the correct answer

Answer:

17.7 cm

Step-by-step explanation:

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

Hypotenuse = √Opposite ² + Adjacent ²

Opposite = 12 cm

Adjacent = 13 cm

Hence,

Hypotenuse = √12² + 13²

= √144 + 169

= 17.691806013 cm

Approximately = 17.7 cm

Therefore, the measure of the Hypotenuse is 17.7 cm