Bill will randomly pick one marker a bag and one crayon from another bag.There are three red markers, 2 green markers , and 1 blue marker in the first bag.There are 2 brown crayons and 3 purple crayons in the bag. What is the probabilityt of picking a red marker and a purple crayon?

According to the histogram, the expected mean exam score is approximately 6.5. This value is centered on the majority of scores, indicating that it is most likely the exam's average.

A histogram is a graph that shows data points arranged in user-defined ranges. By grouping a large number of data points into logical ranges or bins, the histogram, which looks like a bar graph, makes a data series easier to understand.

Histograms and bar charts both use columns to present a visual display, and the terms are frequently used interchangeably. However, technically speaking, a histogram depicts the frequency distribution of a data set's variables.

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Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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The slope of the secant line between x₁ = 9 and x₂ = 4 for the function f(x) = -(3x + 4)/(5x + 4) is -29/245.

To find the slope of the secant line between the values x₁ and x₂ for the function f(x) = -(3x + 4)/(5x + 4), we can use the formula for the slope of a secant line: slope = (f(x₂) - f(x₁)) / (x₂ - x₁). Given x₁ = 9 and x₂ = 4, we can substitute these values into the formula: slope = (f(4) - f(9)) / (4 - 9). To find f(4) and f(9), we substitute the respective values of x into the function: f(4) = -(3(4) + 4)/(5(4) + 4) = -16/24 = -2/3; f(9) = -(3(9) + 4)/(5(9) + 4) = -31/49.

Substituting these values into the slope formula: slope = (-2/3 - (-31/49)) / (4 - 9) = (-2/3 + 31/49) / (-5) = (29/49) / (-5) = -29/245. Therefore, the slope of the secant line between x₁ = 9 and x₂ = 4 for the function f(x) = -(3x + 4)/(5x + 4) is -29/245.

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Answer: 5.50 (c + a)

Step-by-step explanation:

Answer:

I don't forget you. ........

1) The value of measure of x is, 7

2) The value of measure of angle 1 is,

∠ 1 = 42 degree

3) The value of measure of angle 2 is,

∠ 2 = 40 degree

We have,

A triangle AMH is shown in image.

Since, From figure we have,

By definition of angle bisector,

∠ 1 = ∠ 2

And, 2 ∠ 1 = ∠ AMH

Substitute all the given values, we get;

1) ∠ 1 = ∠ 2

5x - 2 = 4x + 5

Sole for x,

5x - 4x = 5 + 2

x = 7

2) 2 ∠ 1 = ∠ AMH

2 (7x + 7) = 16x + 4

14x + 14 = 16x + 4

14 - 4 = 16x - 14x

10 = 2x

x = 10/2

x = 5

Hence, Measure of angle 1,

∠ 1 = 7x + 7

∠ 1 = 7 (5) + 7

∠ 1 = 42 degree

3) ∠ 1 = ∠ 2

9x - 5 = 7x + 5

9x - 7x = 5 + 5

2x = 10

x = 5

Hence, Measure of angle 2 is,

∠ 2 = 7x + 5

∠ 2 = 7 (5) + 5

∠ 2 = 40°

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7n² + 48n + 42

Combine like terms, -8n x -6n= 48n

                                  -6 x -7= 42

Answer:

-49n^3 -n²+92n+42

Step-by-step explanation:

(7n²-8n-6)(-6n-7)

-42n^3-49n²+48n²+56n+36n+42

-49n^3 -n²+92n+42

The quotient is 1111. The process continues until the result is less than the divisor.

To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:

Step 1: Initialize the dividend and divisor

Divisor: 00011

Dividend: 1011

Step 2: Append zeros to the dividend

Divisor: 00011

Dividend: 101100

Step 3: Determine the initial guess for the quotient

Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.

Step 4: Subtract the divisor from the dividend

101100 - 00011 = 101001

Step 5: Determine the next quotient bit

Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

Step 6: Subtract the divisor from the result

101001 - 00011 = 100110

Step 7: Repeat steps 5 and 6 until the result is less than the divisor

Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100110 - 00011 = 100011

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100011 - 00011 = 100001

Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.

100001 - 00011 = 011111

Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.

011111 - 00000 = 011111

Step 8: Remove the extra zeros from the result

Result: 1111

Therefore, the quotient is 1111.

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Answer:

The answer is C. |-13| = 13

Step-by-step explanation:

The definition of absolute value is:

\( \displaystyle \large{ |x| = \begin{cases} x \: \: (x \geqslant 0) \\ - x \: \: (x < 0) \end{cases}}\)

To say it simply, any real numbers in absolute sign, when evaluated, they will always be positive.

No matter the positive real numbers or negative real numbers - if these numbers are in absolute sign, they will be evaluated to positive.

Examples

\( \displaystyle \large{ |2| = 2} \\ \displaystyle \large{ | - 2| = 2} \\ \displaystyle \large{ | - 8| = 8} \)

But if the negative is not inside the absolute sign.

Examples II

\( \displaystyle \large{ - |2| = - 2} \\ \displaystyle \large{ - | - 2| = - 2} \\ \displaystyle \large{ - | - 8| = - 8} \)

First, we evalute the absolute value first. We know thay any real numbers in absolute sign will become positive. Next, after evaluating the absolute value, we simply add the negative symbol beside the positive number.

Simplified Definition

This one is to make it simple to remember.

\( \displaystyle \large{ |a| = a} \\ \displaystyle \large{ | - a| = a} \\ \displaystyle \large{ - |a| = - a} \\ \displaystyle \large{ - | - a| = - a}\)

After reading the explanation, see the choices and tell if they are true or not.

The A choice is wrong as we know that -|-13| is -13.

The B choice is wrong, the reason is same as the A choice.

The C choice is correct! Any real numbers in absolute sign are always positive.

The D choice is wrong because absolute-value numbers cannot be negative, refer to the C choice's reason.

Let me know if you have any questions!

Answer:

Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X

b= 0.6294 rounded to 0.63

a= 1.77

The predicted lines are for each X and Y

3.340,3.96, 4.914, 5.228, and 5.543

Step-by-step explanation:

The data given is

Length (m)    Speed (m/s)              Predicted Line  

2.5                  3                                    3.340  

3.5                 4.5                                  3.96

5                   4.8                                  4.914

5.5                5.2                                 5.228

6                   5.5                                 5.543

The calculations are

                 Xsquare    XY   Y     X

                 6.25    7.5  3      2.5

                 12.25 15.75 4.5      3.5

                    25 24         4.8      5

                  30.25 28.6 5.2      5.5

                   36 33           5.5      6

Total       109.75 108.85   23         22.5

The estimated regression line of Y on X is

Y^ = a +bX

and two normal equations are

∑Y = na + b∑X

∑XY= a∑X + b∑X²

Now X`= ∑X/ n= 22.5/5=4.5

Y`= ∑Y/ n= 23/5= 4.6

b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)

Putting the values

b= 5(108.85) - (23)(22.5)/ 5(109.75)- (22.5)²

b= 544.25-517.5/ 548.75-506.25

b= 26.75 /42.5

b= 0.6294

and

a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767

Hence the

desired estimated regression line of Y on X is

Y^= 1.767 + 0.6294X

Y^= 1.77 +0.63X

The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.

Answer:

69

Step-by-step explanation:

A triangle has a 180 degree angle so you do 180-111=69

Answer: x=24

Step-by-step explanation:

lets say 94 is ∠ a

41 is ∠ b

___ ∠  c

111∠ d

x ∠ e

so with that you will figure out that ∠  c is to find X

108-94-41= 45

so ∠ c is 45

now you can ∠a ∠ b∠ c

with that yo take

108-111-45=24

So X=24

The modified script fixes variable initialization, integration limits, boundary conditions, and computation of the solution for a finite element problem in MATLAB.

The modified script is as follows:

clear all

syms x

E = 10E6;

A = 0.5+(x/50); %function for A

xg = [0 5;5 10]; %Row for each element

ne = 2; %Number of Elements

nn = 3; %Total Number of Nodes

Ke = zeros(nn, nn, ne); % Initialize Ke

fe = zeros(nn, ne); % Initialize fe

for i = 1:ne %Repeat this integration for each element

   xe = xg(i,:); %Grab coordinates for this element

   N = [(x-xe(2))/(xe(1)-xe(2)) (x-xe(1))/(xe(2)-xe(1))]; %Update N

   B = diff(N,x); %Update B

   Ke(:,:,i) = int(transpose(B)*A*E*B,x,xe(1),xe(2)); %Integrating K

   fe(:,i) = int(transpose(N)*0,x,xe(1),xe(2)); %Integrating b(x).

end

%Assemble together

L = zeros(nn, nn, ne);

L(:,:,1) = [1 0 0 0 ; 0 1 0 0 ];

L(:,:,2) = [0 1 0 0 ; 0 0 1 0];

K = zeros(nn,nn);

f = zeros(nn,1);

for i = 1:ne

   Le = L(:,:,i);

   K = K + transpose(Le)*Ke(:,:,i)*Le;

   f = f + transpose(Le)*fe(:,i);

end

%Apply BCs

K(1,:) = [];

K(:,1) = [];

f(3) = 5E3;

f(1) = [];

solution = double(inv(K)*f);

Changes made:

1. Initialized 'Ke' and 'fe' as zero matrices before the loop.

2. Changed the integration limits in the line 'fe(:,i) = int(transpose(N)*0,xe(1),xe(2));' to 'x, xe(1), xe(2)'.

3. Initialized 'L' as a zero matrix before the loop.

4. Adjusted the index of `f` to 'f(3)' instead of 'f(4)' since the size of 'f' is now 3.

5. Removed the first row and column of 'K' to apply boundary conditions.

6. Removed 'clear all' since it clears all variables, which may not be desired.

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In hypothesis testing, the critical value is option (d) a number that establishes the boundary of the rejection region

The hypothesis testing is defined as the process of collecting the data and using that as inference draw the calculation about the population parameter.

The reject region of the hypothesis testing is defined as the  set of values for the test statistic for which the null hypothesis is rejected.

Therefore, the critical value is  a number that establishes the boundary of the rejection region of the graph

Hence, in hypothesis testing, the critical value is option (d)  a number that establishes the boundary of the rejection region

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions

STEP 2: Find the gf(2)

Find g(2)

Find f(2)

Find gf(2)

Hence, the answer is 3

The Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy

This refers to a systematic, rigorous, & critical investigation or stuey that aims to answer questions.

The type of research study are:

Therefore, the Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy in massachusetts counties in 2012

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Comparing the distances at 3 seconds (39 ft) and 4 seconds (51.96 ft), we can conclude that the distance between the person and the balloon is increasing after 4 seconds.

Let's analyze the situation using the given terms "person", "moving", and "distance".

At the 4-second mark:
1. The person has moved horizontally away from the balloon at a rate of 5 ft/sec.
2. The balloon has risen vertically at a rate of 12 ft/sec.

To determine if the distance between the person and the balloon is increasing or decreasing, we can use the Pythagoras Theorem to find the diagonal distance between them.

After 4 seconds:
- The person has moved 5 ft/sec × 4 sec = 20 ft horizontally.
- The balloon has risen 12 ft/sec × 4 sec = 48 ft vertically.

Now, we can use the Pythagorean theorem to find the distance between the person and the balloon:
distance² = horizontal distance² + vertical distance²

At 4 seconds:
distance² = (20 ft)² + (48 ft)²
distance² = 400 + 2304
distance² = 2704
distance = √2704 ≈ 51.96 ft

Now let's check the distance at 3 seconds:
- The person has moved 5 ft/sec × 3 sec = 15 ft horizontally.
- The balloon has risen 12 ft/sec × 3 sec = 36 ft vertically.

distance² = (15 ft)² + (36 ft)²
distance² = 225 + 1296
distance² = 1521
distance = √1521 = 39 ft

Comparing the distances at 3 seconds (39 ft) and 4 seconds (51.96 ft), we can conclude that the distance between the person and the balloon is increasing after 4 seconds.

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The number of steps per second that a runner takes is not typically called the stride rate.

Stride rate is a measurement of how frequently a person makes steps when walking or jogging. It is typically expressed in steps per minute and is calculated by dividing the total number of steps taken by the time it takes for each step to be completed. A person is often traveling faster if they have a greater stride rate. Numerous variables, such as a person's height, leg length, and muscular strength, can influence stride pace. The kind of exercise being done and the surface on which a person is walking or jogging might also have an impact. People may assess their development and modify their training plan to increase their speed and efficiency by keeping an eye on their stride rate.

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Answer:

the second one

there like all togehter

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Just did on edge2021

Answer:

77

Step-by-step explanation:

I took the quiz

Answer:

The answer would be 77

Step-by-step explanation:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer: A , C and F

Step-by-step explanation:

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

Explanation:

The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.

----------

The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.

---------

The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.

As, stx = tsx for every eigenvector x of t, and eigenvectors corresponding to distinct eigenvalues are linearly independent, we can conclude that st = ts.

To prove that st = ts, where v is finite-dimensional, t and s are linear operators on v, t has dim v distinct eigenvalues, and s has the same eigenvectors as t (not necessarily with the same eigenvalues), we can use the fact that eigenvectors corresponding to distinct eigenvalues are linearly independent.

Let's consider an eigenvector x of t with eigenvalue λ. We can write this as tx = λx. Now, since s has the same eigenvectors as t, we can write this as sx = λx.

Now, let's consider the product stx. Using the definitions of s and t, we have stx = s(λx) = λ(sx).

Since sx = λx, we can substitute this in the above equation to get stx = λ(λx) = λ²x.

On the other hand, let's consider the product tsx. Using the definitions of s and t, we have tsx = t(λx) = λ(tx).

Since tx = λx, we can substitute this in the above equation to get tsx = λ(λx) = λ²x.

Since stx = tsx for every eigenvector x of t, and eigenvectors corresponding to distinct eigenvalues are linearly independent, we can conclude that st = ts.

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Answer:

395 cookies are made after 10 days

Step-by-step explanation:

Gianna makes 30 cookies each day.

275-215= 60/2 =30

30*4= 120

275+120=395 cookies made after 10 days

Answer:

d.

took the test

Step-by-step explanation:

Answer:

1/2 probably

Step-by-step explanation:

Given that Lowell has been seeing a 10% drop in attendance every year.

The number of tickets sold this year is 34,721.

After one year, the number of tickets will reduce by 10%.

After one year, the number of tickets will be sell

After one year,31249 tickets will be sold.

After two year, the number of tickets will be sell

After two years from now, we can expect 28124 tickets will sell.

Answer:

Yes, he can fit 18 books on the shelf.

Step-by-step explanation:

They will fit if maximum width of 18 books is less than minimum length of the shelf.

The minimum length of the shelf is 46.5 cm ( as its measured to nearest cm).

The maximum width of a book < 2.55   ( its measured to nearest 0.1 cm).

So multiplying width of books by 18 we get:

2.55*18 = 45.9 which is less than 46 so the answer is YES.

The binomial distribution for this experiment would have a probability of 0.47 for each trial. Outcomes 0, 1, 7, and 8 would be considered unusual since they are unlikely to occur. The other outcomes (1, 2, 8) are more likely to occur.

The binomial distribution for this experiment is based on the probability of each trial, which is 0.47. This means that 47% of the time the outcome will be that the employee judges their co-workers by cleanliness, and 53% of the time it will not be the case. Outcomes 0, 1, 7, and 8 are unlikely to occur and therefore can be considered unusual. This is because they have a low probability of occurring. Outcomes 1, 2, and 8 are more likely to occur and have a higher probability of happening. The binomial distribution can be used to calculate the probability of each of these outcomes occurring. This probability can be used to determine which outcomes are more likely or unlikely to occur.

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Answer:

The lines are perpendicular.

Step-by-step explanation:

If the lines are parallel, then the slopes are equal

If the lines are perpendicular, then the slopes are negative reciprocals

If neither of the above occur, then the lines are neither parallel or perpendicular.

y = 2x + 3  is in slope-intercept form, so the slope = 2

2y + x = 6

Solve for y:    2y = -x + 6

                        y = -1/2(x) + 3    so the slope = -1/2

2 and -1/2 are negative reciprocals, so the lines are perpendicular.

Note:  Negative reciprocals have a product of -1.  2(-1/2) = -1