the midpoint of AB is M=(1,3). one endpoint is A=(4,1). find the coordinates of the other endpoint, b.

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

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The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is  0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.

Given that mean μ = 4.2 , standard deviation σ = 1.3

1. P(X >= 5) = P((X - μ)/σ >

                    = (5 - 4.2) /1.3

                    = P(Z ≥ 0.6154)

                    = 1 - P(Z < 0.6154)

                    = 1 - 0.7324

                    = 0.2676

The required probability is 0.2676.

2.Given that n = 8 then  \(\bar x\) = σ/\(\sqrt{(n)\)  = 1.3/√(8) = 0.4596

P(x-bar ≥ 5) = P((\(\bar x\) - μ)/σx-bar ≥ (5 - 4.2)/0.4596)

                        = P(Z ≥ 1.7406)

                        = 1 - P(Z < 1.7406)

                        = 1 - 0.9591

                        = 0.0409

The required probability is 0.0409.

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Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

Answer:

She shaded above the line when she should have shaded below the line.

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong then I am incredibly sorry!

a)     |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) A = 1/102

c) Marginal PDF fx(x) = (1/102) * x

Marginal PDF fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs)

d) P(0 < X < 2, 1) = 1.

a) To sketch the sample space, we need to consider the ranges of X and Y as defined in the problem statement: 0 < x < 1 and 0 < y < 2x. This means that X ranges from 0 to 1 and Y ranges from 0 to 2X. The sample space can be represented by a triangular region bounded by the lines Y = 0, X = 1, and Y = 2X.

       |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) To find the value of A so that fx,y(x, y) is a valid joint PDF, we need to ensure that the joint PDF integrates to 1 over the entire sample space.

The joint PDF is given by fx,y(x, y) = A(48 + 3), where 0 < x < 1 and 0 < y < 2x.

To find A, we integrate the joint PDF over the sample space:

∫∫fx,y(x, y) dy dx = 1

∫∫A(48 + 3) dy dx = 1

A∫∫(48 + 3) dy dx = 1

A(48y + 3y)∣∣∣0∣∣2xdx = 1

A(96x + 6x)∣∣∣0∣∣1 = 1

A(96 + 6) = 1

102A = 1

A = 1/102

Therefore, A = 1/102.

c) To find the marginal PDFs fx(x) and fy(y), we integrate the joint PDF over the respective variables.

Marginal PDF fx(x):

fx(x) = ∫fy(x, y) dy

Since 0 < y < 2x, the integral limits for y are 0 to 2x.

fx(x) = ∫A(48 + 3) dy from 0 to 2x

fx(x) = A(48y + 3y)∣∣∣0∣∣2x

fx(x) = A(96x + 6x)

fx(x) = 102A * x

fx(x) = (1/102) * x

Marginal PDF fy(y):

fy(y) = ∫fx(x, y) dx

Since 0 < x < 1, the integral limits for x are 0 to 1.

fy(y) = ∫A(48 + 3) dx from 0 to 1

fy(y) = A(48x + 3x)∣∣∣0∣∣1

fy(y) = A(48 + 3)

fy(y) = A(51)

fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs).

d) To find P(0 < X < 2, 1), we need to integrate the joint PDF over the given range.

P(0 < X < 2, 1) = ∫∫fx,y(x, y) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = ∫∫A(48 + 3) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = A(48y + 3y)∣∣∣0∣∣1 dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(48 + 3) dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(51x)∣∣∣0∣∣2

P(0 < X < 2, 1) = A(102)

P(0 < X < 2, 1) = (1/102)(102)

P(0 < X < 2, 1) = 1

Therefore, P(0 < X < 2, 1) = 1.

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An irregular 14-sided polyhedron which has two congruent bases is as shown in the attached file.

A polyhedron is a three dimensional solid shape made by joining together polygons.

For example we can consider a prism having 12-sided regular polygons as bases because then there would be 2 bases and 12 lateral sides for a total of 14 sides for the polyhedron.

Since the lateral faces are rectangles and not 12-sided polygons like the bases, the polyhedron is an irregular polyhedron.

Applying the above, we can draw an irregular 14-sided polyhedron which has two congruent bases as shown in the attached file.

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Answer:

\(\boxed{\bf u=7}\)

Step-by-step explanation:

\(\sf 2u+2.17=16.17\)

Subtract 2.17 from both sides:-

\(\sf u+2.17-2.17=16.17-2.17\)

\(\sf 2u=14\)

Divide both sides by 2:-

\(\sf \cfrac{2u}{2}=\cfrac{14}{2}\)

\(\sf u=7\)

Therefore, u = 7

______________________

Hope this helps!

Have a great day!

Answer: -1 + 3x/5

Step by step explanation:

Answer:

8x + 5y + 132 = 0

Step-by-step explanation:

The probability that Louis will selected to take note is 1/14

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total outcome

Here, the total outcome of non officer = 18-4 = 14

sample space of Luis is 1

therefore the probability that Louis will be selected to take not = 1/14

the probability = 1/14

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Answer:

-2<x<3

Step-by-step explanation:

I have attached the work required to solve this problem as well as a pretty good explanation to each step.

The inequality of the graph from the boundary line is y ≤ x - 3

From the question, we have the following parameters that can be used in our computation:

Boundary line: y = x  - 3

This means that

The inequality can be any of the following

y > x - 3

y < x - 3

y ≥ x - 3

y ≤ x - 3

In this case, we make use of y ≤ x - 3

So, we plot the graph

See attachment for the graph of the inequality expression y ≤ x - 3

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Answer:

0.14989293361

(aka 0.15)

Step-by-step explanation:

0.7 / 4.67

Answer:

0.1498293361

Step-by-step explanation:

you divide just like if its any other numbers.

imagine 70/467 it's the same answer

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

The limit of (1 + x) cotx as x approaches 0 from the positive side (+0) does not exist. Therefore, the limit

lim(x→0) (1 + x) cotx = 1.

To find the limit lim(x→0) (1 + x) cotx, we can follow these steps:
1. Rewrite the expression using the trigonometric identity cotx = 1/tanx, so the expression becomes (1 + x) * (1/tanx).
2. Rewrite tanx using the sine and cosine functions: tanx = sinx/cosx. So, the expression becomes (1 + x) * (1/(sinx/cosx)) or (1 + x) * (cosx/sinx).
3. As x approaches 0, both sinx and cosx approach their respective values at x = 0, which are sin(0) = 0 and cos(0) = 1.
4. Use L'Hôpital's rule to evaluate the limit, as the expression is in the indeterminate form 0/0 when x = 0. Differentiate both the numerator and the denominator with respect to x: d/dx[(1 + x) * cosx] = cosx - xsinx, and d/dx[sinx] = cosx.
5. The expression becomes (cosx - xsinx)/cosx when x approaches 0. Now, substitute x = 0 in the expression: (cos(0) - 0 * sin(0))/cos(0) = (1 - 0)/1 = 1.
Therefore, the limit lim(x→0) (1 + x) cotx = 1.

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Find the lim,- +0+ (1 + x) cot x. Does not exist 0 e? None of these?

Answer:

Step-by-step explanation:

17

cylinder volume = base area x height

                           = pi x r² x h

                           ≈ 3,14 x 7² x 10 ≈ 1500

Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right.

How to carry out Congruence Proofs?

We are told that both peter and Vivian were trying to prove from the attached diagram the statement that;

If ∠2 ≅ ∠3, then ∠1 is supplementary to ∠3.

Now, from the proofs of both of them, we can see that peter used a direct proof because he knew he could get it directly but Vivian utilized another means which was by starting with contradiction to reprove that the answer was correct.

Thus, we can conclude that Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right

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To convert a binary expansion to a decimal expansion, we need to understand the place value system. In binary, each digit represents a power of 2.

The rightmost digit represents 2^0, the next digit represents 2^1, and so on.

a) (1 1011)²:

Starting from the right, the first digit is 1, representing 2^0 = 1.

The next digit is 1, representing 2^1 = 2.

The next four digits (1011) represent 2^2 + 2^0 + 2^1 = 4 + 1 + 2 = 7.

Putting it all together, (1 1011)² in decimal is 1 + 2 + 7 = 10.

b) (10 1011 0101)²:

Starting from the right, the first two digits (01) represent 2^0 = 1.

The next four digits (1011) represent 2^1 + 2^0 + 2^1 = 2 + 1 + 2 = 5.

The remaining six digits (0101) represent 2^2 + 2^0 + 2^2 = 4 + 1 + 4 = 9.

Putting it all together, (10 1011 0101)² in decimal is 1 + 5 + 9 = 15.

c) (11 1011 1110)²:

Starting from the right, the first two digits (10) represent 2^0 = 1.

The next four digits (1011) represent 2^1 + 2^0 + 2^1 = 2 + 1 + 2 = 5.

The remaining six digits (1110) represent 2^2 + 2^1 + 2^0 + 2^3 = 4 + 2 + 1 + 8 = 15.

Putting it all together, (11 1011 1110)² in decimal is 1 + 5 + 15 = 21.

d) (111 1100 0001 1111)²:

Starting from the right, the first four digits (1111) represent 2^0 + 2^1 + 2^2 + 2^3 = 1 + 2 + 4 + 8 = 15.

The next four digits (0001) represent 2^4 = 16.

The next four digits (1100) represent 2^5 + 2^6 = 32 + 64 = 96.

The remaining three digits (111) represent 2^7 + 2^8 + 2^9 = 128 + 256 + 512 = 896.

Putting it all together, (111 1100 0001 1111)² in decimal is 15 + 16 + 96 + 896 = 1023.

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Answer:

false

Step-by-step explanation:

this is showing 2/-3

Answer: False.  

Step-by-step explanation:

The slope is the difference in the y coordinates of any two points being divided by the difference between the x coordinates of the same two points.

Using the point,  (0,5) and (3,3)  find the difference in the y coordinates and divide it by the difference in the x coordinates to find the slope.

y:  5 - 3 = 2  

x :  0 - 3 = -3

Slope:  -2/3

This is indeed true because line is going downright  so the slope has to  be negative.

The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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a) The expenses are $237.99, the income is $380, and the profit is $142.01

b) P = $10*s - ($4.50*m + $12.99)

We define the income (or revenue) as what you win for selling the items, while the expenses are the costs you have to produce and sell the items.

a) If you make 50 flags, then the total expenses are:

E = 50*$4.50 + $12.99 = $237.99

And if you sell 38 of these flags, the income is:

I = 38*$10 = $380

Finally, the profit is the difference between the income and the expenses, so we get:

P = I - E =  $380 - $237.99 = $142.01

b) So, let's define two variables:

s = number of flags that you sell.

m = number of flags that you make.

Then the income is:

I = $10*s

the expenses are:

E = $4.50*m + $12.99

Then the expression for the profit can be written as:

P = $10*s - ($4.50*m + $12.99)

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The equation for a multiple regression model with p predictor variables (x1, x2, ..., xp) and a response variable (y) can be written as:

y = β0 + β1*x1 + β2*x2 + ... + βp*xp + ε

In this equation:

- y represents the response variable (the variable we are trying to predict).

- β0 represents the y-intercept or the constant term.

- β1, β2, ..., βp represent the coefficients or weights associated with each predictor variable (x1, x2, ..., xp).

- x1, x2, ..., xp represent the predictor variables.

- ε represents the error term or residual, which accounts for unexplained variation in the model.

The multiple regression model aims to estimate the relationship between the predictor variables and the response variable by finding the best-fitting values for the coefficients β0, β1, β2, ..., βp.

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Answer:

true

Step-by-step explanation:

click'thanks'on the question page

and follow

Answer:

if you divide anything by 1/2 you are basically multiplying by 2 so any number divided by 1/2 will just be ×2

Answer:

\(h = 15.163\ meters\)

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

\(tan(30) = (h - 1.5) / x\)

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

\(tan(45) = (h - 1.5) / (x - 10)\)

So rewriting both equations using the tangents values, we have that:

\(0.5774 = (h - 1.5) / x\)

\(1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)\)

From the first equation, we have that:

\(x = (h - 1.5) / 0.5774\)

Using this value of x in the second equation, we have that:

\(h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10\)

\(h + 8.5 = \frac{ (h - 1.5) }{0.5774}\)

\(0.5774h + 4.9079 = h - 1.5\)

\(0.4226h = 6.4079\)

\(h = 15.163\ meters\)

Given the volume of the cube, the length of each edge of the cube is approximately 2.62ft.

The volume of a cube is expressed as;

V = a³

Where a is the length of the edges.

Given the data in the question;

We substitute the given value into the equation above.

V = a³

18ft³ = a³

Take the cube root of both sides.

a = ∛(18ft³)

a = 2.62ft

Given the volume of the cube, the length of each edge of the cube is approximately 2.62ft.

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