How do you graph a function with two X variables?

The percentage of the data lies between those two quartiles is 50%

The statement is given as:

The lower and upper quartile in a data set is calculated.

As a general rule, we have

Lower quartile = 25%

Upper quartile = 75%

The percentage of the data lies between those two quartiles is

Percentage  = 75% - 25%

Evaluate

Percentage  = 50%

Hence, the percentage of the data lies between those two quartiles is 50%

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Answer:

X=3

Step-by-step explanation:

First you can distribute the 4 to 2x-1 making is 8x-4

8x-4+2x+2=28

Now add like terms

8x+2x-4+2=28, 10x-2=28

Add 2 to both sides

10x=30

Divide both sides by 10

x=3

The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.

As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.

In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]

D is the distance to the horizon

R is the radius of the earth

h is the height above sea level of the observer in meters.

The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.

Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles

Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.

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The P-value in each of the given situations for testing the null hypothesis H₀: p = 0.6 using a z-test can be determined as follows:

A. Hₐ: p > 0.6, z = 1.47: The P-value is the probability of observing a z-score greater than 1.47, which can be found by calculating the area under the standard normal curve to the right of 1.47.

B. Hₐ: p < 0.6, z = -2.70: The P-value is the probability of observing a z-score less than -2.70, which can be found by calculating the area under the standard normal curve to the left of -2.70.

C. Hₐ: p ≠ 0.6, z = -2.70: The P-value is the probability of observing a z-score less than -2.70 or greater than 2.70, which can be found by calculating the sum of the areas under the standard normal curve to the left of -2.70 and to the right of 2.70.

D. Hₐ: p < 0.6, z = 0.25: The P-value is the probability of observing a z-score less than 0.25, which can be found by calculating the area under the standard normal curve to the left of 0.25.

To determine the P-value, we need to calculate the corresponding areas under the standard normal curve based on the given z-scores. The P-value represents the probability of observing a z-score as extreme or more extreme than the given value, assuming the null hypothesis is true.

By using standard normal distribution tables or statistical software, we can find the probabilities associated with the given z-scores. These probabilities represent the P-values for each scenario, providing a measure of evidence against the null hypothesis.


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Answer:

Step-by-step explanation:

Hope it helped

Answer:

√65 (units)

Step-by-step explanation:

A(3, -2) and B(7, 5)

AB=√ [(xB-xA)²+(yB-yA)²]

AB=√ [(7-3)²+(5+2)²]=√(16+49)

AB=√65 (units)

The angle that Measures a' is vertically opposite from the angle that measures w.

Given the following figure: Two lines meet at a point that is also the endpoint of a ray. Angle w Jes is 120°. We need to determine the values of w, z, and y and find some angle relationships.

Let's begin by identifying the angle relationships: The two lines intersect at a point, which means the opposite angles are congruent. We can see that angles w and z are on opposite sides of the transversal and on the same side of line t. So, the angles w and z are supplementary. We also know that angles w and w' are vertical angles.

Thus, we have angle w' = w. The angles with measurements w' and 120 are vertical, which means that angle z = 120°. Now, let's use this information to find the value of y. We know that angles w and y are also on opposite sides of the transversal and on the same side of line t. Thus, angles w and y are supplementary.

Therefore, y + w = 180°, y + 35° = 180°, y = 145°. The angle that measures a' is vertically opposite from the angle that measures w. We know that angle w = angle w'.

So, the angle that measures a' is vertically opposite from angle w'. This means that the angle a' = 35°. Hence, the values of w, z, and y are 35°, 120°, and 145°, respectively. The angle relationships are as follows: Angles w and z are supplementary. Angles w' and w are vertical angles.

The angles with measurements w' and 120 are vertical. Angles w and y are supplementary. The angle that measures a' is vertically opposite from the angle that measures w.

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The area of the composite figure is 24m², which is option C.

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. To get the area of a composite shape, first determine the individual areas of every component. The total of the individual regions will then represent the area of the composite shape.

From the figure, we can see that from a big rectangle, 4 small identical squares of side 1m are cut from each corner.

We are asked to find the area of the rest of the rectangle which makes the composite figure.

W first find the area of the original rectangle.

Its length  = 5 + 1 + 1 = 7 m

Its breadth = 2 + 1 + 1 = 4 m

So the area of the rectangle = length * breadth = 7*4 = 28 m²

Now the side length of the square = 1 m

Area of one square = 1*1 = 1m²

So are of four identical squares = 4 * 1 = 4 m²

Therefore area of the composite figure = area of big rectangle - area of 4 squares = 28 - 4 = 24m²

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Answer:

24m^2 is ur answer

Step-by-step explanation:

Hope this helps

Option B is the correct answer, The set of correlations which correctly shows the highest to lowest degree of relation is -0.91, +0.83, +0.10, -0.03.

What is correlation?

In statistics, the correlation is a technique used to determine the relationship between the two variables. The correlation's range is from -1 to +1. There are three primary categories of correlation: no correlation, positive correlation, and negative correlation. When the correlation value is zero, there is no association; the correlation value that is closest to zero indicates the weakest degree of relationship.

We must select the set of correlations in the question that accurately displays the highest to the lowest degree of relation.

Option B is the best choice since we must take the absolute value into account in order to determine the relationship's degrees. Here, the absolute values drop from 0.91 to 0.03.

Option A is incorrect since the absolute values decline from 0.91 to 0.03 and then climb to 0.10 in this situation.

Because the absolute values are not listed in decreasing order, Option C is incorrect.

Because the absolute values in this situation are not ordered in decreasing order, Option D is also a incorrect choice.

Therefore, option B, is the correct option.

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The equation of the straight line passing through the points (-1,1) and (2,-4) is  y = -5/3x - 2/3.

To find the equation, we can use the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line.

We have,

Point 1: (-1, 1) with coordinates (x₁, y₁)

Point 2: (2, -4) with coordinates (x₂, y₂)

Let's calculate the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

 = (-4 - 1) / (2 - (-1))

 = -5 / 3

Now, substituting one of the points and the slope into the point-slope form, we have:

y - y₁ = m(x - x₁)

y - 1 = (-5/3)(x - (-1))

y - 1 = (-5/3)(x + 1)

Expanding the equation:

y - 1 = (-5/3)x - 5/3

To simplify the equation, let's multiply both sides by 3 to eliminate the fraction:

3(y - 1) = -5x - 5

Expanding and rearranging the equation, we get:

3y - 3 = -5x - 5

3y = -5x - 5 + 3

3y = -5x - 2

y = (-5/3)x - 2/3

Thus, the equation of the straight line passing through the points (-1,1) and (2,-4) is y = -5/3x - 2/3.

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Answer:

Vertical opposite angles are the same so the answer is D.

Preorder traversal visits the vertices of an ordered rooted tree in the order: A, B, D, E, C, F, G.

Preorder traversal is a method used to visit all the vertices of a tree in a specific order. In a preorder traversal, we start at the root of the tree and visit the root node first, then recursively visit its left subtree, and finally recursively visit its right subtree.

To determine the order in which a preorder traversal visits the vertices of a given ordered rooted tree, we follow these steps:

1. Start at the root of the tree.

2. Visit the root node.

3. Recursively visit the left subtree.

4. Recursively visit the right subtree.

5. Let's apply this method to the given ordered rooted tree to determine the order of the preorder traversal:

        A

      /   \

     B     C

    / \     \

   D   E     F

              \

               G

6. Start at the root node A.

7. Visit node A.

8. Move to the left subtree rooted at B.

9. Visit node B.

10. Move to the left subtree rooted at D.

11. Visit node D.

12. No left or right subtree for node D, so backtrack to node B.

13. Move to the right subtree of node B.

14. Visit node E.

15. No left or right subtree for node E, so backtrack to node B.

16. Backtrack to node A.

17. Move to the right subtree rooted at C.

18. Visit node C.

19. Move to the right subtree rooted at F.

20. Visit node F.

21. Move to the right subtree rooted at G.

22. Visit node G.

23. No left or right subtree for node G, so backtrack to node F.

24. Backtrack to node C.

25. Backtrack to node A.

The order in which the preorder traversal visits the vertices of the given ordered rooted tree is: A, B, D, E, C, F, G.

Therefore, the main answer is: Preorder traversal visits the vertices of the given ordered rooted tree in the order: A, B, D, E, C, F, G.

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Answer:

433345344 Answer

Step-by-step explanation:

Answer:

a. The average is  =(++) .

b. He can use the formula  =−− q sub 3 , equals 3 x minus , q sub 1 , minus , q sub 2. He will need a score of  =()−−= q sub 3 , equals 3 open 90 close minus 85 minus 88 equals 97 on his third quiz.

Step-by-step explanation:

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

The total number of possible outcomes in this situation is 3 x 4 x 2 = 24. This is because the spinner has three equal-sized sections, the die has 4 sides, and the coin has two sides (heads and tails).

Outcome is the result or consequence of an action, situation or event.

For the spinner, there are three possible outcomes (Walk, Run, and Stop). For the die, there are four possible outcomes (1, 2, 3, and 4). For the coin, there are two possible outcomes (heads or tails).

Therefore, the total number of possible outcomes is 3 x 4 x 2 = 24.

This means that there are 24 different combinations of outcomes that Kadeem can experience when spinning the spinner, rolling the die, and flipping the coin.

Let us imagine that Kadeem rolls a 4 on the die, lands on Walk on the spinner, and gets tails on the coin. In this scenario, the outcome would be 4-Walk-Tails.

In this scenario, the outcome would be 4-Walk-Tails.

This is just one of the 24 possible outcomes that Kadeem could experience.

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D.

\(22 - 8 \sqrt{5} \)

Answer:

1, 2, 3, 7, 10

Step-by-step explanation:

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\( \dfrac{ \sqrt{3} }{4} {a}^{2} \)

where,

=》

\( \dfrac{ \sqrt{3} }{4} \times 8 \times 8\)

=》

\( \sqrt{3} \times 16\)

=》

\(16 \sqrt{3} \: \: \: cm {}^{2} \)

or

=》

\(27.71 \: \: cm {}^{2} \)

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

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Michael and Harry ate 5/12 of the bag altogether. 7/12 fraction of bag is left.

Let 'x' be the whole quantity in the bag of pretzels.

Michael ate 1/4 fraction of the bag.

That is, (1/4)x = x/4 quantity.

Harry ate 1/6 fraction of the bag.

That is, (1/6)x = x/6 quantity.

So the total they ate altogether will be the sum of the quantity each of the ate.

Hence, quantity they ate altogether = x/4 + x/6 = (6x + 4x)/(6 x 4)

                                                                              = 10x/24

                                                                              = 5x/12

So they ate 5/12 fraction of the bag altogether.

The remaining quantity left in the bag will be the difference of 5/12 from the whole.

That is, x - 5x/12 = 7x/12.

So 7/12 fraction of the bag is left.

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The probability that the manufacturing unit has carbon emissions beyond the permissible emission level is 0.2975

Given that the probability that carbon emissions from the company’s factory exceed the permissible level is 35% and the accuracy of the test is 85%.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

Event A: The given Carbon emission beyond to the given permissible emission level.

Event B: Test predicts this.

To get the probability of this problem, first we need to divide by 100 the given values.

A=35/100

A=0.35

The probability of event A is P(A)=0.35

And the probability is P(B|A)=85/100=0.85

Now, we will use the conditional probability formula, we get

P(B|A)=P(A∩B)/P(A)

0.85=P(A∩B)/0.35

P(A∩B)=0.85×0.35

P(A∩B)=0.2975

Hence, the probability that the manufacturing unit has carbon emissions beyond the permissible emission level and the test predicts is0.2975.

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x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Answer:

Step-by-step explanation:

\(\sqrt{5x+21}=x+ 3 \\\\Take \ square \\\\\\5x + 21 = (x + 3)^{2}\)

5x + 21 = x² + 2*x*3 + 3²

5x + 21 = x² +6x + 9

x² + 6x+9 -5x - 21 = 0

x² + 6x - 5x +  9 -21 = 0

x² + x - 12 = 0

Sum = 1

Product = -12

Factors = 4 , -3    {4*(-3) = -12  and 4 + (-3) = 1}

x² + 4x - 3x - 12 = 0

x(x + 4) - 3(x +4) = 0

(x + 4)(x - 3) =0

x = - 4 , 3

The negative effect on the ecosystem is  the removal of trees will decrease the amount of co2 taken up by plants. Option G

A tornado's death and uprooting of trees can have a harmful impact on an ecosystem in a number of ways.

The carbon-dioxide intake invariably increases with deforestation.

This alters the carbon cycle and might result in increased levels of greenhouse gases. This might exacerbate climate change's effects.

The countless animal species that rely on trees for food, shelter, and nesting grounds may also be impacted by the destruction and habitat fragmentation caused by tree removal.

However, doing so may disturb the ecosystem's balance, altering predator-prey interactions and biodiversity as a whole.

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To write the given quadratic equation, y = (x + 1)^2 - 4, in factored form, we can start by expanding the equation using the square of a binomial:

y = (x + 1)(x + 1) - 4

y = (x^2 + 2x + 1) - 4

y = x^2 + 2x + 1 - 4

y = x^2 + 2x - 3

Now, to find the zeros of the equation, we set y = 0 and solve for x:

x^2 + 2x - 3 = 0 To factor this quadratic equation, we need to find two numbers whose product is -3 and whose sum is 2. The numbers that satisfy this condition are 3 and -1:

(x + 3)(x - 1) = 0

Now, setting each factor equal to zero, we can find the values of x:

x + 3 = 0  =>  x = -3

x - 1 = 0  =>  x = 1

Therefore, the factored form of the equation y = (x + 1)^2 - 4 is (x + 3)(x - 1) = 0, and the zeros of the equation are x = -3 and x = 1.

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Answer: A. 125h + 10 B. $385

Step-by-step explanation:

let h = the number of hours Mathew rents the jet ski

a. 125h + 10

B. Plug in 3 for h

125(3) + 10

375 + 10

⇒ $385

Answer:

F(h)= 125h+10

F(3)=125(3)+10

F(3)=375+10

F(3)=385

Step-by-step explanation:

So sorry if this is incorrect. I hope I could help!

Answer:

42 I think LOL

a)the probability that a respondent chosen at random enjoys shopping for clothing for himself or herself is approximately 0.474,

b)the probability that a respondent chosen at random is a female and enjoys shopping for clothing for herself is approximately 0.254.

For the males:

Total number of males = 542

Number of males who do not enjoy shopping = Total number of males - Number of males who enjoy shopping = 542 - 238 = 304

For the females:

Total number of females = 543

Number of females who do not enjoy shopping = Total number of females - Number of females who enjoy shopping = 543 - 276 = 267

a) To find the probability that a respondent chosen at random enjoys shopping for clothing for themselves, we divide the total number of respondents who enjoy shopping by the total number of respondents:

P(enjoys shopping) = (Number of respondents who enjoy shopping) / (Total number of respondents)

= 514 / 1085

≈ 0.474

b) To find the probability that a respondent chosen at random is a female and enjoys shopping for clothing for herself, we divide the number of females who enjoy shopping by the total number of respondents:

P(female and enjoys shopping) = (Number of females who enjoy shopping) / (Total number of respondents)

= 276 / 1085

≈ 0.254

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Answer:

the unit rate is 14.40 and the rate is dollars/video