Watch the video linked below.

Adding and Subtracting Equations with Algebra Tiles:

Write a 2-3 sentence reflection sharing what you learned from the video.

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Answer: x=8

Step-by-step explanation: 8+14x+8x-4=180

The sum of a triangle will always be 180 degrees so you put 8+14x + 8x-4 equal to 180 and solve the equation, the answer is x=8

The problem where the professor states that the average age of students in the university is 21 years is an example of statistical inference.

Statistical inference is the process of using data from a sample to make inferences or conclusions about a population. It allows us to draw conclusions about a larger group of individuals or objects based on information from a smaller sample. It is a fundamental part of statistical analysis and is used in many fields, including research, business, and government.

Statistical inference includes two main types: estimation and hypothesis testing.

Estimation: This involves using sample data to make estimates about population parameters. For example, using the sample mean to estimate the population mean or the sample proportion to estimate the population proportion.

Hypothesis testing: This involves using sample data to test a claim or hypothesis about a population parameter. For example, testing the claim that a coin is fair, based on the proportion of heads in a sample of coin flips.

The goal of statistical inference is to use the information from a sample to make informed decisions or predictions about a population. It allows us to draw general conclusions from a specific set of data, and it is an essential tool for making sense of data in many fields.

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Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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Answer:

The range is 62

Step-by-step explanation:

Given

\(x:70,12,42,45,50,51,60,69,8,40,18\)

Required

The range

This is calculated as:

\(Range = Highest - Least\)

From the given data

\(Highest = 70\)

\(Least=8\)

So:

\(Range = Highest - Least\)

\(Range = 70-8\)

\(Range = 62\)

Circle

Solve for area

A≈78.54m²

r Radius  

5

m

d

r

r

r

d

d

C

A

Solution

A=πr2=π·52≈78.53982m²

Answer:

25π or 78.54m²

Step-by-step explanation:

the area of a circle with a radius of 5m=πr²=π×5²=25π or 78.54m²

Answer:

is there any info missing?

Answer:

360 plates

Step-by-step explanation:

if there are 18 plates in 1 stake your times 20 bye 18

18

20

000

360

This is the complement of both flips coming up heads, so the probability is 3/4. The expected value of X is -$1.

To find the expected value of the random variable X, we need to calculate the weighted average of its possible outcomes based on their probabilities.

Given:

If both flips come up heads, X = -7 (loss of $7)

If at least one flip comes up tails, X = 1 (win of $1)

Let's calculate the probabilities of each outcome:

Both flips come up heads:

The probability of getting a head on a fair coin flip is 1/2.

Since the flips are independent events, the probability of getting two heads in a row is (1/2) * (1/2) = 1/4.

At least one flip comes up tails:

This is the complement of both flips coming up heads, so the probability is 1 - 1/4 = 3/4.

Now, let's calculate the expected value of X:

E(X) = (-7) * P(X = -7) + (1) * P(X = 1)

E(X) = (-7) * (1/4) + (1) * (3/4)

= -7/4 + 3/4

= -4/4

= -1

Therefore, the expected value of X is -$1.

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Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

Answer:

i need more info to answer this

Step-by-step explanation:

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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\(\\ \bull\tt\dashrightarrow BC=CE\)

\(\\ \bull\tt\dashrightarrow 3x+3y=7x+5y\)

\(\\ \bull\tt\dashrightarrow 7x-3x=3y-5y\)

\(\\ \bull\tt\dashrightarrow 4x=-2y\)

\(\\ \bull\tt\dashrightarrow 2x=-y\)

\(\\ \bull\tt\dashrightarrow \dfrac{x}{y}=\dfrac{-1}{2}\)

Now

\(\\ \bull\tt\dashrightarrow BE=BC+CE+CD\)

\(\\ \bull\tt\dashrightarrow BE=3x+3y+7x+5y+5x-2y+6\)

\(\\ \bull\tt\dashrightarrow BE=15x+6y+6\)

Answer:

• BC = CD

\((3x + 3y) = (5x - 2y + 6) \\ 5x - 3x = - 2y - 3y + 6 \\ 2x = - 5y + 6 \\ \\ \dashrightarrow \: { \tt{x = \frac{ - 5y + 6}{2} }}\)

• find BE:

\( \dashrightarrow \: { \tt{BE = (3x + 3y) + (7x + 5y)}} \\ \\{ \tt{BE = 10x + 8y}}\)

The probability of choosing one card that is a King and the other that is a Queen is 8/663.

To get the probability that one card is a King and the other card is a Queen, we need to count the number of ways we can choose one King and one Queen, and divide that by the total number of ways to choose two cards.

There are 4C1 ways to choose one King and 4C1 ways to choose one Queen, and since these events are independent, we can multiply to get the total number of ways to choose one King and one Queen:

4C1 * 4C1 = 16

So the probability of choosing one King and one Queen is:

16 / 52C2 = 16 / (52*51/2) = 8/663

Therefore, the probability of choosing one card that is a King and the other that is a Queen is 8/663.

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The volume of the large emerald is 294.22 cubic centimeters.

The density of any given substance or an object is defined as the ratio of its mass to its volume. This can be expressed as:

Density = Mass/ Volume

Considering the parameters given in the question, we have;

mass = 812.04 grams, density = 2.76 grams/ cubic centimeters

Thus,

density = mass/ volume

So that;

volume = mass/ density

            = 812.04/ 2.76

            = 294.22

volume = 294.22 cubic centimeters

The volume of the large emerald is 294.22 cubic centimeters.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

20

Step-by-step explanation:

any thing multiplied by a fraction gets divided so you need to reverse it and divide to get the answer

Answer:

20

Step-by-step explanation:

1/2 times 20 = 10

its like the same thing as 10 times 2 = 20

Answer:

95

Step-by-step explanation:

85 is on the opposite scale of x so if you take 180(a line) and subtract 85 you get 95

The solution for w in the equation is w = 2. therefore, the correct option is A; w = 2

An equation represents equality of two or more mathematical expression.

The solution of an equation refers to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given the equation: w + 1/2 = 1/4w + 2

Then to solve, Subtract 1/2 from both sides of the equation.

w=1/4w+1 1/2

Then Multiply both sides by 4

4w=w+6

Now Subtract w from both sides

3w=6

Now Divide both sides by 3

w=2

Therefore,  the solution for w in the equation is w = 2 , the correct option is A; w = 2

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Answer:

I don't get it are you telling us a answer or is it a question?

The location of the center of dilation in the figure and the image formed following the dilation is the point N

The scale factor of the dilation is 0.5

A dilation transformation resizes an object such that the lengths of the sides of the image (the object formed) following the dilation of the original image has sides that are a constant multiple of the side lengths of the original object.

The center of dilation is a reference and fixed point, such that the center of is in the same location relative to the preimage and the image.

The location or point shared by both the figure LMNO and the image of LMNO formed following the dilation, which is figure L'M'N'O' is the point N.

Therefore;

The scale factor of the dilation is found using the definition of a scale factor, which is the ratio of the scale of a new figure to the scale of an original figure, therefore:

\(The \ scale \ factor,\, s.f. = \mathrm{\dfrac{Length \ of \ the \ sides \ of \ L'M'N'O'}{Length \ of \ the \ sides \ of \ LMNO}}\)

MN = 6 units

LO = 6 units

ML = ON = √(6² + 2²) = 2·√(10)

M'N' = L'O' = 3 units

M'L' = O'N' = √(3² + 1²) = √(10)

Which gives:

\(s.f. = \dfrac{M'L'}{ML} =\dfrac{\sqrt{10} }{2 \cdot \sqrt{10} } = \dfrac{1}{2}=0.5\)

The scale factor of the dilation is, s.f. = 0.5

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Answer:

Im not too sure but it might be d?

90+47+x=180 137+x=180

x=180-137

x=43

Answer:

A

Step-by-step explanation:

The first thing to notice is the question says it is given that the person is between the ages 23 and 60, so we only care about those people. So then we want to know how likely it would be to pick someone with over 50 messages a month. So what you would do is take the amount of people who are between 23 and 60 and send over 50 text messages, and divide that by the total amount of people 23-60 (since that is the pool of people we have). Doing so we find there is 229 people aged 23-60 which then makes the answer 157/229 or A.

Given data:

The given figure is shown.

The area of the composite figure is,

Thus, the area of the given figure is 37 sq-feet, so first option is correct.

The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

\(y=-5x+2\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where two points that the line passes through are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (1,-3) and (-3,17)

\(=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5\)

Therefore the slope of the line is -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

2) Determine the y-intercept (b)

\(y=-5x+b\)

Plug in one of the given points and solve for b

\(-3=-5(1)+b\\-3=-5+b\)

Add 5 to both sides of the equation to isolate b

\(-3+5=-5+b+5\\2=b\)

Therefore, the y-intercept of the equation is 2. Plug this back into \(y=-5x+b\):

\(y=-5x+2\)

I hope this helps!

Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

Answer:

16/2

Step-by-step explanation:

2 2/7  = 16/2

2 times 7 = 14 + 2 = 16/2

So, the answer is 16/2

Answer:

2 2/7 = 17/7

Step-by-step explanation:

The way I learnt it is that when you take 2 2/7 we just have to multply the denominator (7) by the whole number (2) which gives us 14 and then we have to add the numerator (2) which gives us our numerator which is 16 and the denominator stays the same meaning our answer would be 17/7. (It is the simplest form)

Answer:

The number is -6

Step-by-step explanation:

"the sum twice a number and 5"  is 2x + 5, where x is the "number."

"is 13 less than the opposite of a number" is = -x-13

Put the two parts together:  

2x + 5 = -x - 13

3x = - 18

x = -6

The sum of twice a number is 2*(-6) = -12

and 5:  -12 + 5 = -7

is 13 less than the opposite of a number is -(-6) - 13 = -7

-7 = -7  YES

The number is -6

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.