The median of 50 50 54 56 60 62 63 64 79 72 72

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

Learn more about key combination

brainly.com/question/29034653

#SPJ11

The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).

To solve the given initial-value problem, we start by rearranging the equation:
3 11 16 × -(: * *:)* X' = 1 1 3
-(: * *:)* X' = (1/16)  (1/11)  (1/3)
Integrating both sides with respect to t:
-(: * *:)* X = (1/16) t + C1, where C1 is the constant of integration.
Multiplying both sides by the inverse of the matrix -(: * *:) gives:
X = (-1/8) t + C1/8 + C2, where C2 is another constant of integration.
To find the values of C1 and C2, we use the initial condition X(0) = (0) - (5):
X(0) = (-1/8) (0) + C1/8 + C2 = -5
C1/8 + C2 = -5
Since X'(t) = (-3/8), we have X'(0) = (-3/8). Using the equation X'(t) = (-3/8) and the initial condition X(0) = (0) - (5), we can solve for C1:
X'(t) = (-1/8) => (-3/8) = (-1/8) + C1/8 => C1 = -2
Substituting C1 = -2 into C1/8 + C2 = -5 gives:
(-2)/8 + C2 = -5 => C2 = -39/8
Therefore, the solution to the initial-value problem is:
X = (-1/8) t - 1/4 - (39/8)

The solution to the given initial-value problem is X = (-1/8) t - 1/4 - (39/8). The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).

Learn more about integration

brainly.com/question/18125359

#SPJ11

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

Learn more about quartile at https://brainly.com/question/24329548.

#SPJ4

Answer:

Following are the answer to this question:

In question, a) ordinal.

In question, b) ratio .

In question, c) true.

Step-by-step explanation:

For its "ordained" existence, regular data is used to conduct surveys and questionnaires. To identify respondents into different categories, a quantitative methodology is employed to sufficient excess.

Its ratio data is defined as a statistical method with the same features as continuous variables, that recognize the proportion of each data to an absolute null as its source. In many other words, the meaning of the line graph may not be positive.

Its newest program gives the gap between exits data.

H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

Visit here to learn more about  null hypothesis:

brainly.com/question/28920252

#SPJ11

Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403

Answer: $52.75

Step-by-step explanation:

By evaluating the expression in w=−6, x=−2, and z=−7, we will get the value 35/37.

Here we have the following expression:

(w²*x - 2)/(10*z)

And we want to evaluate this with the following values:

w = -6

x = -2

z = -7

Replacing these in the expression we will get:

( (-6)²*(-2) - 2)/(10*-7)

(36*-2 - 2)/(-70)

-74/-70 = 70/74 = 35/37

That is the value of the expression.

Learn more about algebraic expressions:

https://brainly.com/question/4344214

#SPJ1

Answer:

like y⁵×y ?

Step-by-step explanation:

is that what your asking?

The integrating factor is u(t) = e^(-9t) and the solution to the IVP is y(t) = 2e^(9t) - t - 1.

The initial value problem is 10(t+1) dt dy

−9y = 9t for t>−1 with y(0)=18 and we have to find the integrating factor and y(t) Integrating Factor (u) For an IVP in the form of y' + p(t)y = g(t),

the integrating factor (u) is defined as u(t) = e^[∫p(t)dt]

Here,

p(t) = -9u(t)

=e^[∫p(t)dt]

= e^[∫-9dt]u(t)

= e^(-9t)

We multiply the original equation by the integrating factor: e^[∫-9dt].

The result is:(10t + 10) e^[∫-9dt]dy/dt − 9ye^[∫-9dt]

                    = 9te^[∫-9dt]

Rearranging the terms we get:

(10t + 10) d/dt (ye^[∫-9dt])

= 9te^[∫-9dt]

Simplifying, we get:

(10t + 10) d/dt (ye^(-9t))

= 9te^(-9t)(10t + 10) dy/dt e^(-9t) + y e^(-9t) d/dt (10t + 10)

= 9t e^(-9t)dy/dt = e^(9t) ∫9t e^(-9t)dt + Ce^(9t)/e^(-9t)dy/dt

=  -t - 1 + Ce^(9t)

Therefore, y(t) = -t - 1 + Ce^(9t)

Given y(0) = 18,

we can calculate C.C = y(0) + 1 + t/10

                                   = 18 + 1 = 19

We can substitute this value of C to get the final solution to the IVP: y(t) = -t - 1 + 19e^(9t)/e^(-9t)

which simplifies to y(t) = 2e^(9t) - t - 1

Therefore, the integrating factor is u(t) = e^(-9t) and the solution to the IVP is y(t) = 2e^(9t) - t - 1.

Learn more about the integrating factor from given link

brainly.com/question/30094386

#SPJ11

Answer: what?????? but um is 6 inches small?

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It is rational because a rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

.25252525 is equal to \(\frac{100000000}{396000004}\)

where a = 100000000

and b = 396000004

Answer:

I think it's 600 I think it might be wrong

Answer:

120=3/2(x)

Step-by-step explanation:

If 120 = 150% of x, then 150% is equal to 3/2, so 120=3/2(x)

Multiply by 2/3 on both sides to get your answer :)

(should be 80)

Answer:

i got A

Step-by-step explanation:

120 over n = 150 over 100

The expression “4 is multiplied by the difference of 5 and a number” can be simplified to 4(5 - x) or 4 * (5 - x).

The expression that represents the problem "4 is multiplied by the difference of 5 and a number" is 4(5 - x), where x is the unknown number.
In this expression, the difference of 5 and a number is first calculated, and then the result is multiplied by 4.
This can also be written as 4 * (5 - x), which is equivalent to the original expression.
So the answer to the question is 4(5 - x) or 4 * (5 - x).

Learn more about expressions: https://brainly.com/question/1859113

#SPJ11

Answer:

WFF

Step-by-step explanation:

savoy..it's me Wolfie it's been so long, I really hope you remember me...

Point (-3,5) is a solution to the system of inequalities

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

For this case, what we must do is find a point that meets both inequalities.

y> -2

x + y <4

We have then:

For (0,4):

First inequation:

4> -2 (correct)

Second inequality:

0 + 4 <4 (incorrect)

For (1,4):

First inequation:

4> -2 (correct)

Second inequality:

1 + 4 <4 (incorrect)

For (-3,5):

First inequation:

5> -2 (correct)

Second inequality:

-3 + 5 <4 (correct)

Point (-3,5) is system solution

For (-2,-3):

First inequation:

-3> -2 (incorrect)

To learn more about the inequality from the given link

https://brainly.com/question/25275758

#SPJ4

The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.

The given two-person game is shown in the given table below.Player 2Player 1UDUD2,20,00,20,4The given two-person game has two pure strategy Nash equilibria, (U, D) and (D, U).Mixed strategy Nash EquilibriaIn this game, if player 1 selects U with a probability of q, then the expected payoff of player 2 will be: U = 2q + 0 (1 - q) = 2q where 1 - q is the probability of selecting D.

Similarly, if player 1 selects D with a probability of q, then the expected payoff of player 2 will be: D = 0q + 4 (1 - q) = 4 - 4q where 1 - q is the probability of selecting U.

Similarly, if player 2 selects U with a probability of p, then the expected payoff of player 1 will be: U = 2p + 0 (1 - p) = 2p where 1 - p is the probability of selecting D.

Similarly, if player 2 selects D with a probability of p, then the expected payoff of player 1 will be: D = 0p + 2 (1 - p) = 2 - 2p where 1 - p is the probability of selecting U.

If player 1 mixes his strategies, then the best response of player 2 can be obtained as: U = 2q and D = 4 - 4q.

Similarly, if player 2 mixes his strategies, then the best response of player 1 can be obtained as: U = 2p and D = 2 - 2pThe following table can be drawn for the best response of each player.

Best Responses Player 2 Player 1 U D U D BR21 1 2 2 BR12 1/2 1/2 2 0.

By solving the above best responses, the set of all pure and mixed strategy Nash equilibria can be obtained.

SolutionThe pure strategy Nash equilibria are (U, D) and (D, U).Now we will find the mixed strategy Nash equilibria of the given two-person game by solving the best response correspondences of each player.

The set of all pure and mixed strategy Nash equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.

The given two-person game has been given in the table shown below.Player 2Player 1UDUD2,20,00,20,4The two-person game given above can have a pure strategy Nash Equilibrium and mixed strategy Nash Equilibrium, which can be found by plotting the best response correspondences of each player.

The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy.The mixed Nash equilibrium can be solved by considering the probability with which each player is playing each of its strategies.

The expected payoff of the player is calculated by multiplying the payoff of each outcome with its probability and then adding up all the values of each outcome after multiplication. Each player tries to choose the strategy that maximizes its expected payoff given the strategy of the other player.

The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.

The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}. The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy. The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.

To know more about two-person game visit:

brainly.com/question/32776155

#SPJ11

Given that the line is parallel to the x-axis and passing through the point (8,1). An equation of a line is given by y = mx + c where m is the slope and c is the y-intercept, so the slope of the line parallel to the x-axis is 0, then its equation is y = 1. Because all the points on the line have the same y-coordinate, which is 1, it can also be written as 1 = 0x + 1. Therefore, the equation of the line is:

y = 1

To find the equation of a line parallel to the x-axis and passing through the point (8,1), we know that the slope of the line is 0. The slope of the line is the change in y divided by the change in x, given by the equation:  

`m = (y2 − y1) / (x2 − x1)`

When two lines are parallel, they have the same slope, which in this case is 0. Therefore, the equation of the line parallel to the x-axis is y = c, where c is the y-intercept of the line.Since the line passes through the point (8,1), the equation becomes 1 = 0(8) + c, which simplifies to c = 1.

Thus, the equation of the line that satisfies the given conditions is y = 1.Note that this line is a horizontal line that intersects the y-axis at 1.

To know ore about parallel line visit:

https://brainly.com/question/29762825

#SPJ11

Answer:

Mr. Crow dimension of the lawn = 85 × 40

Area of the lawn = 3250 square feet

Step-by-step explanation:

Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30,  the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50,  the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x  = 40, the  the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x  = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40  = 3250 square feet.Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30,  the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50,  the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x  = 40, the  the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x  = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40  = 3250 square feet.

The correct option is : c. Valid

Does the logical relationship between the premises and conclusion in the given argument hold true?

Yes, the logical relationship between the premises and conclusion in the given argument holds true.

To evaluate the given argument, we can break it down into its premises and conclusion:

Premises:

1.e ⊃ j (If e, then j)

2.b ⊃ q (If b, then q)

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Conclusion:

(e • b) ≡ d ((e and b) if and only if d)

To determine the validity and cogency of the argument, we need to assess whether it is logically valid and whether its premises are true.

Validity: An argument is valid if the truth of its premises guarantees the truth of its conclusion. Let's analyze each premise:

1.e ⊃ j (If e, then j)

This premise asserts a conditional statement. If e is true, then j must also be true. This premise seems reasonable.

2.b ⊃ q (If b, then q)

Similar to the first premise, this premise asserts a conditional statement. If b is true, then q must also be true. This premise seems reasonable as well.

3.d ⊃ (j • ∼q) (If d, then (j and not q))

Once again, this premise states a conditional relationship. If d is true, then both j and not q must be true. This premise also seems reasonable.

Now let's consider the conclusion:

(e • b) ≡ d ((e and b) if and only if d) This conclusion states an equivalence, asserting that (e and b) is true if and only if d is true.

Given that all the premises are reasonable and logically valid, we can conclude that the argument is valid.

Therefore, the correct answer is:

c. Valid.  

To learn more about the logical relationship between the premises and conclusion in the given argument hold true from the given link

https://brainly.com/question/30466861

#SPJ4

Answer: 300,000

Step-by-step explanation:

There are two ways to get this answer.

WAY 1

400x800= 320,000 and to get 1 significant figure you round down to 300,000

WAY 2

423x764=323,172 and to get 1 significant figure you round down to

300,000

Answer:Y=10X-16

Step-by-step explanation:

y = x3- 2x 2,( 2, 4)( Given)

Find the first outgrowth, calculate the pitch and find the equation.

We should first know the pitch of the wind at(,4)

pitch at any point on the wind is written by its first outgrowth as

dy/ dx = 3x2- 2

pitch at x = 2

m = 3( 2) 2- 2 = 12- 2 = 10

Equation of a digression is given as

c mx = y

Where m is the pitch

Substituting the values

c 10 × 2 = 4

On farther computation

c 20 = 4

c = 16

The equation of the digression is y = 10 x- 16

Thus, the equation of the digression line to the wind is y = 10x-16

It is a graph of a function

Answer:

3/2;5/2

Step-by-step explanation:

-1+4/2 ; 4+1/2

3/2 ; 5/2

Answers:

============================================================

Explanation:

Let's use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (6-4)/(5-2)

m = 2/3

The slope of the line is 2/3.

We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.

-------------

Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.

If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying

If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.

That makes choices 2 and 4 "yes" responses.

Mary's expected effective annual yield (EAY) is approximately 1.06%.

To calculate the effective annual yield (EAY) of a bond, we need to consider the coupon rate, the purchase price, and the remaining years until maturity.

In this case, Mary bought a 20-year bond with an 8% coupon rate (paid semi-annually) and a $1000 par value for $1050. To calculate the EAY, we can follow these steps:

Calculate the semi-annual coupon payment: 8% of $1000 is $80. Since it is paid semi-annually, the coupon payment for each period is $80/2 = $40.

Calculate the total coupon payments over the 20-year period: There are 20 years, which means 40 semi-annual periods. The total coupon payments will be $40 multiplied by 40, resulting in $1600.

Calculate the total amount paid for the bond: Mary purchased the bond for $1050.

Calculate the future value (FV) of the bond: The future value is the par value of $1000 plus the total coupon payments of $1600, resulting in $2600.

Calculate the EAY using the following formula:

EAY = \((FV / Purchase Price) ^ {(1 / N)} - 1\)

where N is the number of years until maturity.

In this case, N = 20, FV = $2600, and the purchase price is $1050.

Plugging the values into the formula:

EAY = \(($2600 / $1050) ^{ (1 / 20) }- 1\)

Calculating the expression:

EAY = \((2.47619047619) ^ {0.05\) - 1

EAY ≈ 0.0106

Rounded to two decimal places, Mary's expected effective annual yield (EAY) is approximately 1.06%.

To learn more about effective annual yield click on,

https://brainly.com/question/29110740

#SPJ4

Answer:

6+9 is the two numbers

Step-by-step explanation:

Answer:

6 and 9

Step-by-step explanation:

We can write out all possible numbers

1 and 14 (difference is 13, not 3) X

2 and 13 (difference is 11, not 3) X

3 and 12 (difference is 9, not 3) X

4 and 11 (difference is 7, not 3) X

5 and 10 (difference is 5, not 3) X

6 and 9 (difference is 3, checks out!) ✔

7 and 8 (difference is 1, not 3) X

Answer:

IDL

Step-by-step explanation: