×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Answer 1

Answer:

Step-by-step explanation:

\(\dfrac{x}{2}=\dfrac{y}{3}\\\\\)

Cross multiply,

3x = 2y    ------------(I)

\(\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z\)

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

\(x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20\)

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6


Related Questions

a website asks visitors to vote for which of several user-submitted videos is funniest. after a few days they have collected 250 votes, and they would like to construct a 95% confidence interval for the proportion of visitors who prefer one of the videos. however, they recognize that their sampling method involves voluntary response, so the data may be biased. how can they compensate for this problem when constructing their confidence interval?

Answers

Collect 250 or more more votes using an SRS.

You must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is referred to as a sampling method. You can use one of the following two main sampling techniques in your study:

Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group.

Non-probability sampling entails non-random selection based on practicality or other factors, making it simple to gather data.

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) picked at random from a larger group of people (also known as a population) with an equal probability. It is a method of choosing a sample at random.

explanation :

As everyone is aware, inferential statistics has the property of objectivity, which means that a statistic is an objective estimator of a population parameter. The confidence intervals adhere to this characteristic as well. Our sample mean is used in the computation of our confidence interval since we believe that the genuine population mean is somewhat close to it.

Confidence interval typically accounts for random error; relatively little systematic error is accounted for (i.e, bias). If we expand the sample size, we can eventually lower the bias in the confidence interval. Bias becomes zero when n equals infinity.

Therefore, employing an SRS to collect 250 more votes or more would be necessary to offset the issue.

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x+y=7
3x+y=15
solve by substitution method​

Answers

Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3

Kite FGHK is shown. Kite F G H K is shown. Sides G F and F K are congruent. The length of G H is 5 m 1 and the length of H K is 3 m 7. What is the value of m

Answers

The value of "m" represents the length of side G F in the kite F G H K. The value of "m" is 3.5. Given that sides G F and F K are congruent, we can conclude that their lengths are equal.


We are given that the length of side G H is 5 m 1 and the length of side H K is 3 m 7.

To find the value of "m," we need to find the length of side G F.


Since G F and F K are congruent, we can set up an equation:

5 m 1 = 3 m 7

To solve for "m," we need to subtract 3 m from both sides of the equation:

5 m - 3 m = 3 m - 3 m + 7


This simplifies to:

2 m = 7

Now, we can solve for "m" by dividing both sides of the equation by 2:

m = 7 ÷ 2

m = 3.5


Therefore, the value of "m" is 3.5.

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Let f(x)= 1/x−3 Calculate the difference quotient
formula= f(1+h)−f(1)/h for
h=.1 =?
h=.01 =?
h=−.01 =?
h=−.1 =?
If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x=1 was −1/n^2 for some integer n what would you expect n to be?
n= ?

Answers

If someone told you that the derivative (slope of the tangent line to the graph) of f(x) at x=1 was −1/n² for some integer n, we would expect n to be equal to 2.

We have:

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

Using the difference quotient formula, we get:

f(1+h) = 1/(1+h-3) = 1/(h-2)

f(1) = 1/(1-3) = -1/2

Therefore, the difference quotient formula becomes:

f(1+h) - f(1) / h = [1/(h-2) + 1/2] / h - 1/2h = (3 - h) / 2h(h - 2)

Plugging in h = 0.1, we get:

f(1.1) - f(1) / 0.1 = 2.6525

Plugging in h = 0.01, we get:

f(1.01) - f(1) / 0.01 = 2.525

Plugging in h = -0.01, we get:

f(0.99) - f(1) / (-0.01) = -2.525

Plugging in h = -0.1, we get:

f(0.9) - f(1) / (-0.1) = -2.6525

The derivative of f(x) at x=1 is:

f'(x) = -1/(x-3)^2

Plugging in x=1, we get:

f'(1) = -1/(-2)^2 = -1/4

Therefore, we would expect n to be equal to 2.

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Jordan can make 18 cupcakes (the y-value) with one cup of flour (the x value). How many cupcakes can he make with 5 cups of flour?

Answers

Answer:

90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Simplify the expression below. (x^5)(x^2)
A. x^2
B. x^5
C. x^7
D. x^10

Answers

\(\longrightarrow{\green{C.\: {x}^{7}}}\) 

Step-by-step explanation:

\(( {x}^{5} )( {x}^{2} ) \\\\ = {x}^{5 + 2} \\\\ = {x}^{7} \\\\ (∵ {a}^{m} \times {a}^{n} = {a}^{m + n} )\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

The answer is C. X^7

The table shows the proportional relationship between the number of tickets required per game at a carnival.


Games 4 10 16
Tickets 16 40 64


Determine the constant of proportionality.
4
6
12
24

Answers

Answer:

6

Step-by-step explanation:

all are divisible by 6 or can be added by six to get the next number

The required value of the contant of proportionality is given as 1/4.

What is proportionality?

Proportionality is described as the relationship between two or more sets of values, and whether these values are directly proportional or inversely proportionate to one other.

Here,

Let G be the number of games and T be the number of tickets,

G ∝ T

So,

G = kT

From the table,

4 = 16k

k = 4/16

k = 1/4

Thus, the required value of the contant of proportionality is given as 1/4.

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a fisherman in a boat is drinking a cup of hot coffee. the large lake below his boat is full of cold water. which statement is an accurate comparison of the lake water and the coffee?(1 point)

Answers

A comparison of hot coffee and cold lake is, the heat from the coffee will be absorbed by the cold lake through convection method of heat transfer.

What is convection ?

Heat is transferred through the convection, which is basically large-scale movement of molecules inside gases and the liquids. Conduction is basically used to move heat from one of the object to the fluid initially, but fluid motion is all responsible for the bulk of the heat transfer.

Convection is a process by which heat is always transferred through fluids as a result of the material motion.It occurs as in both gases and the liquids.It could be forced or be natural.Bulk transfers of some of the given fluid are necessary.

Conservation of energy

The principle of conservation of the energy states that the total energy of an isolated system is always in conserved state.

Heat lost by all the hot coffee = Heat absorbed by all the cold lake

Heat transfer process

Heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.

Thus, the comparison of hot coffee and the cold lake is, the heat from the coffee will all be absorbed by the cold lake through convection method of the heat transfer.

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This is combine like Terms
2(3x + 7x) + 20

Answers

Answer:

10(x + 2) here you go! hope this helps

What is the difference between a reasonable and unreasonable time algorithm?

Answers

Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.

What is Unreasonable time algorithms?

When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.

Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.

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I need help with #65 to #70 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP… it is passed due

I need help with #65 to #70 ASAP please and thank you . Could someone please help me with it I need to
I need help with #65 to #70 ASAP please and thank you . Could someone please help me with it I need to

Answers

All of the given questions(#65 to #70) are AP(s).

Formula to be used: a(n) = a(1) + (n - 1)d

Pronounced as:

nth term = 1st term + (n - 1)d, where d is the common difference.

*d = difference of any two consecutive terms.

65):

1st term = 2, d = 6 - 2 = 4

Therefore,

11th term = 2 + (11 - 1)4 = 42

66):

1st term = 5, d = 15 - 5 = 10

Therefore,

16th term = 5 + (16 - 1)10 = 155

67):

1st term = 19, d = 39 - 19 = 20

Therefore,

21st term = 19 + (21 - 1)20 = 419

68):

1st term = 8, d = 38 - 8 = 30

Therefore,

36th term = 8 + (36 - 1)30 = 1058

69):

1st term = 1/2, d = 1 - 1/2 = 1/2

Therefore,

101st term = 1/2 + (101 - 1)1/2 = 101/2

70):

1st term = 0.75, d = 1.50 - 0.75 = 0.75

Therefore,

151st term = 0.75 + (151 - 1)(0.75) = 113.25

A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?

Answers

There are 297.5 miles between Atlanta and the border of Georgia and Florida. I think 17/2 = 8.5. 8.5 x 35 = 297.5

The quantities x and y are positive. If x is
decreased by 20 percent and y is increased by
20 percent, then the product of x and y is

Answers

Answer:

Positive

Step-by-step explanation:

Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.

Answer:

Decreased by 4%

Question 6 (4 points) Three people use the following procedure to divide a (perfectly divisible and homogenous) cake. Player 1 first divides the cake into two pieces. Next, player 2 selects one of the two pieces. Player 1 gets the other share, while player 2 must now divide the piece he or she picked. Finally, player 3 chooses one of the two pieces that player 2 just created, and player 2 consumes what remains. Suppose that each player cares only about the size of the piece of cake he or she ultimately obtains. Compute the subgame perfect Nash equilibrium (please provide complete strategies, not just the equilibrium payoffs).

Answers

The subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.

The subgame perfect Nash equilibrium and complete strategies are as follows:

First subgame: Player 1 splits the cake into two pieces. Player 1 takes the smaller of the two pieces, while Player 2 takes the larger. Next, Player 2 divides the larger piece into two. Player 2 chooses the piece that is equal in size to the smaller piece of the initial division. Player 2 gives the other piece to Player 3, who must now select one of the two pieces. If Player 3 selects the smaller piece, Player 2 will obtain the larger of the two pieces that Player 2 divided, which is greater than or equal in size to the piece Player 2 gave to Player 3. As a result, Player 3 chooses the larger of the two pieces. Therefore, the subgame perfect Nash equilibrium involves Player 1 receiving a piece that is no less than 1/4 of the original cake, Player 2 receiving a piece that is no less than 1/2 of the cake, and Player 3 receiving a piece that is no less than 1/4 of the cake. Player 2 obtains the largest piece at 1/2 of the cake, while Player 1 gets a share that is no less than 1/4 of the cake, which is larger than Player 3's share of the remaining cake.

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what is 24 in scientific notation

Answers

Answer:

2.4 × 101

Step-by-step explanation:

that is 24 in scientific notation

Answer:

24 * 10^1

Step-by-step explanation:

Hope this helps. :)

Suppose you buy a word-processing software package for $199. You charge $15 per hour for word processing, write an equation that represents how long it will take you to become profitable.

Answers

Answer:

13hours and aprox. 15 min

Step-by-step explanation:

199=15*x

199/15=13.26

What is the factorization of the polynomial below?

- x2 - 15x - 56

A. (X + 8)(x + 7)
B. (x+3)(x - 7)
C. -1(x+8)(x + 7)
D. (-x+3)(x-7)

Answers

Answer:

C

Step-by-step explanation:

When you multiply -1(x+8)(x+7)

                                 (-x-8)(x+7)

                                  -x(x+7)-8(x+7)

                                   \(-x^{2}-15x-56\)

Find the exact value of cos J in simplest form.
√29
14
15
H

Answers

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.

For the angle J in this problem, we have that:

4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Find the exact value of cos J in simplest form.291415H

b. What is the value of OL?

b. What is the value of OL?

Answers

Answer:

7

Step-by-step explanation:

since NM & LM are the same and NL is 14 OL must be half of 14 which 7

Miss Robinson has 750 stickers. Everyday she gives out 100 stickers. How many days till she has 250?

Answers

750 - 250 = 500
500 / 100 = 5

She has 5 days til she has 250 stickers remaining.

is 200% of 4 less than 10, greater than 10 but less than 100, or greater than 100? 200% of 4 is​

Answers

Answer:

200% of 4 = 8.

Of is a keyword for multiply.

200% x 4 = 8.

8 is less than 10.

Step-by-step explanation:

I hope that this answer had helped you to understand your question. If you have any further questions, please put them below.

Have a great rest of your day/night!

20. What is the transformation?:

a. rotation
b. reflection
c. translation

Please help me with this! It’s due in a few hours

20. What is the transformation?:a. rotation b. reflectionc. translation Please help me with this! Its

Answers

Answer:

Reflection

Step-by-step explanation:

A rotation would be to rotate a figure around the origin

A reflection would be to reflect the figure around one of the axes.

A translation would be to move a figure a certain amount of units.

Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.

It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.

This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.

The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.

reflection ,, it just made a copy of the shape on the other side , it’s identical which means it’s a reflection

find all abelian groups (up to isomorphism) of order 360

Answers

The abelian groups (up to isomorphism) of order 360 are:

1. C360: The cyclic group of order 360.2. C2 x C2 x C3 x C3 x C5: The direct product of cyclic groups of orders 2, 2, 3, 3, and 5.

How can we determine the abelian groups of order 360?

To find all abelian groups of order 360, we need to consider the prime factorization of 360, which is 2^3 × 3^2 × 5. The abelian groups will be direct products of cyclic groups whose orders divide 360.

First, we consider the cyclic groups. Since the order of an element in a cyclic group divides the order of the group, we can have cyclic subgroups of orders 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Now, we can combine these cyclic subgroups to form the abelian groups. We can take direct products of the cyclic groups to obtain different possibilities. The order of the resulting group will be the product of the orders of the cyclic subgroups.

In this case, we can form the following abelian groups of order 360:

C360: This is the cyclic group of order 360 itself.

C2 x C2 x C3 x C3 x C5: This is the direct product of cyclic groups of orders 2, 2, 3, 3, and 5.

These are the two abelian groups (up to isomorphism) that can be formed using the prime factorization of 360.

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ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp

ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

5

This is essentially the third identical question that you posted with the same

type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)

4 cups =  20 pralines thus the number you are looking for is 20/4 = 5

Step-by-step explanation:

lets try this "story" to explain...

assume that you can walk 3 miles in 1 hour

this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc

0,0

1,3

2,6

3,9

etc.

if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....

if you DIVIDE any of those points

3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at

it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.

In an office complex of 1100 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 51% chance that she will be absent tomorrow. Suppose that today there are 913 employees at work.

(a) Find the transition matrix for this scenario.

(b) Predict the number that will be at work five days from now.

(c) Find the steady-state vector.

Answers

The given office complex has a total of 1100 employees. Out of these 1100 employees, only some come to work on any given day, while the rest are absent.

If we consider the employees present at work on any given day as the "state", we can create a probability transition matrix that provides information about the probability of the employees being present or absent in the future. We know that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 51% chance that she will be absent tomorrow. Hence, we can construct a probability transition matrix for the given scenario as follows:    [1   0]      [0.51 0.8]. Here, the first row represents the probability of remaining absent while the second row represents the probability of remaining present.  We are given that today there are 913 employees at work. We can use the transition matrix to predict the number of employees at work after 5 days.  To do this, we multiply the transition matrix with itself 5 times. We get the following result after multiplying:    

[1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] =     [1.0264 0.0000]      [0.0000 0.9736]

Hence, the number of employees that will be at work after 5 days is:

(1.0264 × 913) = 937.  

The steady-state vector for the given transition matrix can be found by solving the equation P = P × A where P is the steady-state vector and A is the transition matrix. Hence, we have:      

[p1 p2] = [p1 p2] × [1   0]      [0.51 0.8]

We know that p1 + p2 = 1 since the probability of an employee being either present or absent is 1. Substituting p2 = 1 - p1, we get the following equation:  

p1 = 0.51p1 + 0.8(1 - p1)

Solving this equation, we get: p1 = 0.6098 and p2 = 0.3902. Hence, the steady-state vector is [0.6098 0.3902].

The transition matrix for the given scenario is [1 0][0.51 0.8]. The number of employees that will be at work after 5 days is 937. The steady-state vector for the given transition matrix is [0.6098 0.3902].

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the points (0, 3) (-2, -7) (-6, -27), (4, 23), (-1, -2) were plotted on the coordinate plane. What type of association do these data have?

ASAP

Answers

Answer:

positive assosiation

Step-by-step explanation:

here is a screenshot of them plotted on a graph on

the points (0, 3) (-2, -7) (-6, -27), (4, 23), (-1, -2) were plotted on the coordinate plane. What type

Find the slope of the tangent line to the ellipse x^(2)/16 +y^(2)/4=1 at the point (x,y). slope =?
Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.) slope is undefined at ?

Answers

The slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

What is slope of a tangent?

The rate of change of a curve at a certain position is represented by the slope of a tangent line to the curve at that location. In other words, it indicates whether the curve is steep or shallow at that particular location. Calculating the derivative of a function in calculus also requires estimating the slope of a tangent line, which is a crucial step. We may determine the slope of the tangent line and subsequently the derivative of the function at a location by determining the limit of the slope of a secant line as the two points on the line approach closer and closer together.

The equation of the ellipse is x²)/16 +y²/4=1.

We take the derivative of the equation with respect to xto find the slope:

x²/16 + y²/4 = 1

(x²/16)' + (y²/4)' = 1'

2x/16 + 2y/4 * dy/dx = 0

dy/dx = -x/(2y)

When the denominator of 2y equals 0, there are some locations where the slope is not specified. The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0), and all locations on the x-axis between these two points when y = 0, which occurs.

Hence, the slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

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What is the value of expression
\( {5}^{3} \)

Answers

Answer:

125

What is an exponent?

An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.

If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.

5 × 5 × 5 = 125

Therefore, the answer to \(5^{3}\) is 125.

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz

Answers

Answer:

Multiply 8 and 3

Step-by-step explanation:

6+ (-5-7/2) -8(3)

Using the order of operations

BODMAS

•BRACKET

•OFF

•DIVISION

•MULTIPLICATION

•ADDITION

•SUBTRACTION

The first step is to deal with the bracket

Which is

6+(-5-7/2)-24

Next is solve the next parenthesis

6+(-12/2)-24

Next

6+(-6)-24

Next

6-6-24

= -24

Answer:

A is correct answer

Step-by-step explanation:

A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.

Answers

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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