Answer:
Step-by-step explanation:
i think its C
Two discrete random variables have a joint PMF as described in the following table. PM (m, n) m = 1 2 m = 3 n=1 1/5 7/45 1/9 n = 2 8/45 4/45 2/45 n = 3 2/15 1/15 1/45 (a) Find the marginal PDFs, P(m) and Py(n). Р (b) Find Pr(N=1|M= 2). (c) Find Pr(MEN). (d) Find Pr(M>N).
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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Find the derivative of f(x) = 8x + 4 at x = 9. (6 points)
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
Can someone pls help me ASAP I’ll give brainiest
Also show how u got the answer step by step pls
Find the number of edges on this solid.
Enter
An edge is formed when two faces come together. The number of edges in the given solid is 18.
What is an edge?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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6th grade math help me pleaseeee
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
PLSS HELP MEE AND NO BOTS I WILL REPORT Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
(6,1)
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
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
Using Matlab, include the code, a brief discussion of the
code/logic, graphs and screenshots with results, and a brief
analysis/discussion of the results.
4. Repeat exercise 3 using the Secant method. Repeat iterations until the approximate error becomes less than 0.1%. (20%] a. Which method is better? Secant or False-position?
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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An analyst Is forecasting net Income for Excellence Corporation for the next fiscal year. Her low-end estimate of net Income is $261,000, and her high-end estimate is $312,000. Prior research allows her to assume that net income follows a continuous uniform distribution. The probability that net income will be greater than or equal to $299,500 Is Multiple Choice 75.5% O o 24.5% 84.4% O O 41.6%
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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People were polled on how many books they read the previous year. Initial survey results indicate that s = 13.6 books Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. (n) How many subjects are needed to estimate the mean number of books read the previous year within six books with 90% confidence? This 90% confidence level requires subjects. (Round up to the nearest subject.)
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:
n = (Z * σ / E)²Where:n = sample sizeZ = z-value (corresponding to the desired confidence level)σ = standard deviation (unknown in this case)E = margin of errorSince 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:
n = (1.645 * 13.6 / 6)²n ≈ 47.57Since 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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3. Which property justifies rewriting
2r-7x
*(2-7) ?
OA. Associative property of multiplication
OB. Distributive property
OC. Commutative property of multiplication
O D. Associative property of addition
A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
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
Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
O 6 cm
O 18 cm
O 24 cm
O 28 cm
18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
Third side < 8 + 15
Third side < 23
It means 3rd side must be less than 23
Case 2: Let 15 cm is the largest side.
15 < Third side + 8
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
Convert the binary expansion 1100101 base 2 to expansions
1a)
base 4
1b)
base 10
please explain how you got your answer as well
The binary expansion 1100101 base 2 can be converted to base 4 and base 10. In base 4, the expansion is 313 and in base 10, it is 101.
To convert the binary expansion 1100101 base 2 to base 4, we group the binary digits into pairs from right to left. Starting from the rightmost pair, we convert each pair to its equivalent base 4 digit. In this case, the pairs are 01, 01, 10, and 11, which correspond to the base 4 digits 1, 1, 3, and 3, respectively. So the base 4 expansion is 313.
To convert the binary expansion 1100101 base 2 to base 10, we can use the positional value system. Each binary digit represents a power of 2. Starting from the rightmost digit, we assign powers of 2 to each digit in increasing order from right to left. In this case, the digits are 1, 0, 1, 0, 0, 1, and 1, which correspond to the powers of 2^6, 2^5, 2^4, 2^3, 2^2, 2^1, and 2^0, respectively. Evaluating these powers of 2, we get 64, 0, 16, 0, 0, 2, and 1. we obtain 64 + 0 + 16 + 0 + 0 + 2 + 1 = 101 in base 10.
Therefore, the binary expansion 1100101 base 2 is equivalent to 313 base 4 and 101 base 10.
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Azim wants to buy a tablet computer that is priced at $255 25. If the sales tax rate on the computer is 8%, how many dollars and cents will Azim spend on the sales tax only?
what equation represents this sentence?
0.7 increased by a number is 3.8.
a. 3.8 n = 0.7
b. 3.8 + n, = 0.7
c. 3.8n = 0.7
d. 0.7 + n = 3.8
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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What is the solution to this system
Answer:
(1, - 1)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (1, - 1)
Then (1, - 1 ) is the solution to the system.
a technology company makes more than 5 printer every hour. Which graph represent the number of printers made in 4 hours?
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
The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
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:
Using the part-whole meaning of a fraction, find the larger of each. Write down your explanation. 12 10 d. and and f. and 101 19
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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Today i will walk 3 miles per hour to school, which is 1.5 miles away how many hours would this trip take
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
M is the midpoint of PQ. PM = 7x + 8 and MQ = 5x+ 20. Find the value of x.
which side is opposite the middle size angle give the letter name
Answer:
opposite of 55 degrees would be KL
opposite of 97 degrees would be ML
opposite of 28 degrees would be MK
Step-by-step explanation:
mark me brainliest if right!!!
The perimeter of a rectangular field is 298 yards. If the width of the field is 63 yards, what is its length?
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.
Let f be a continuous function on R. Suppose f(x) > 0 for all
x and (f(x))2 = 2f for all x ≥ 0. Show that f(x) =
x for all x ≥ 0.
5. Let f be a continuous function on R. Suppose f(x) > 0 for all x and (f(x))2 = 2 5c" f for all x > 0. Show that f(x) = x for all x > 0. . -
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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Complete the Square of the quadratic equation in standard form: ax2 + bx + c Treat this like a literal equation where you are solving for x by completing the square. To get started, write the equation in the form: x2 + bx = ?
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
What function is shown in the graph?
A)
y=-3X
B)
B
y = 3-X
0
y = 3x + 2
D)
y = 3* + 2
Answer:
5x
Step-by-step explanation:
got it right on edg
A trapezoid has bases of lengths 38 and 52. Find the trapezoids area if it’s height is 8.
Answer:
360
Step-by-step explanation:
A random sample of 750 US adults includes 330 that favor free tuition for four-year colleges. Find the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition O 7.7% 04.2% O 1.8% O 3.5% O 3.7%
Therefore, the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition is 4.2%.
The margin of error is the difference between the sample statistic and the population parameter. It shows how much the sample result can deviate from the actual population parameter.Here, the sample size n = 750, and the proportion of adults in the US who favor free tuition for four-year colleges is p = 330/750 = 0.44.Using the z-distribution, we can calculate the margin of error for the 98% confidence interval as follows:zα/2 = z0.01/2 = 2.33margin of error = zα/2 * √(p(1-p)/n)margin of error = 2.33 * √(0.44(1-0.44)/750)margin of error ≈ 0.042 or 4.2%Therefore, the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition is 4.2%.
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I need help math is so ACK anyone know the answer
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]