Answer for 15 POINTS! BRAINLIEST TO CORRECT ANSWER!​

YES or NO and Why?

The median is the value in the middle of a data set, meaning that 50% of data points. The y intercept of the median line for the dataset 2 3 4 5 7 8 10 12 is 1.65.

To find the y-intercept of the median-median line for the given dataset, we first need to find the median of the x-values and the median of the y-values.

The median of the x-values can be found by first arranging the dataset in ascending order:

2, 3, 4, 5, 7, 8, 10, 12

The median of this dataset is the middle value, which is 5.

The median of the y-values can be found in a similar way:

2, 3, 4, 5, 7, 8, 10, 12

The median of this dataset is also 5.

Now that we have the medians of the x- and y-values, we can use them to find the slope of the median-median line. The slope is given by:

slope = (median of y-values for points above median of x-values - median of y-values for points below median of x-values) / (median of x-values for points above median of y-values - median of x-values for points below median of y-values)

To apply this formula, we need to split the dataset into two parts: the points above the median of x-values (5) and the points below the median of x-values.

Points above median of x-values:

7, 8, 10, 12

Points below median of x-values:

2, 3, 4, 5

The median of the y-values for the points above the median of x-values is 9, and the median of the y-values for the points below the median of x-values is 3.

Plugging these values into the slope formula, we get:

slope = (9 - 3) / (10 - 2) = 0.67

Now we can use the point-slope form of a line to find the equation of the median-median line:

y - median of y-values = slope × (x - median of x-values)

y - 5 = 0.67 × (x - 5)

Simplifying this equation, we get:

y = 0.67x + 1.65

Therefore, the y-intercept of the median-median line for the given dataset is 1.65.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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The main answer for the equation 24 - 1r² = 12, solved for positive real solutions, is r = ±√6. To find the positive real solutions for the given equation, we can start by isolating the variable on one side of the equation.

Subtracting 12 from both sides gives us 24 - 12 - 1r² = 0, which simplifies to 12 - 1r² = 0. Rearranging the equation further, we have -1r² = -12. Dividing both sides by -1, we get r² = 12. Finally, taking the square root of both sides, we obtain r = ±√12. However, since we are looking for positive real solutions, we consider only the positive square root, resulting in r = ±√6.

For the equation 24 - 1² - 12, there is no need to solve for negative real solutions because the equation is already in its simplest form. By simplifying the expression, we have 24 - 1 - 12 = 11. Therefore, the value of the equation 24 - 1² - 12 is equal to 11.

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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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The slope of a line in the form "y = mx + b" is given by the coefficient "m" of the x term.

For the first equation, x - 2y = -1/2, we can rearrange the terms to get y = (1/2)x - 1/2. The coefficient of the x term is 1/2, so the slope of the line is 1/2.

For the second equation, -4x - 8y = 2, we can rearrange the terms to get y = -(1/2)x - 1/4. The coefficient of the x term is -1/2, so the slope of the line is -1/2.

The exterior angle m∠JHI (3x + 18)° is derived to be equal to 57°

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

interior opposite angles are (3x°+ 18)° and (x + 6)°

m∠IJK = m∠JHI + m∠HIJ

7x - 15 = 3x + 18 + x + 6

7x - 3x - x = 15 + 6 + 18 {collect like terms}

3x = 39

x = 39/3 {divide through by 3}

x = 13

m∠JHI = 3(13) + 18

m∠JHI = 56°

Therefore, the exterior angle m∠JHI (3x + 18)° is derived to be equal to 57°

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the volume of the solid obtained by rotating r about the y-axis. find v by using washers. is pi 216^2 /6

y₁ = 16x  and  y₂ =x²

The intersection between y₁ and y₂

16x = x²

x² - 16x = 0

x(x-16) = 0

x = 0 or x =16

y = 0 or y =16^2 = 216

The points of intersection (0,0) and (16,216)

To find the volume of the solid obtained by rotating about the y-axis the region bounded by y₁ and y₂

y₁ = 16x ⇒ x₁ = y/16 ⇒ x₁² = y²/216

y₂ =x² ⇒ x₂ = √y ⇒ x₂² = y

v = ∫A(y) dy = π ∫ (x₂² - x₁²) dy

v =pi  216^2 /6

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Answer:

16 inches

Step-by-step explanation:

12 divided by 3 is 4

4 inches for 1/4 of the year

4 x 4 = 16 inches

Answer: 9 min

Step-by-step explanation:

Since team members: minutes are inversely proportional, you can use x = k/y to solve.

27 = k/5 (multiply by 5 for each side)

135 = k

Using this, you can see. that 135/15 = 9 minutes

If all the members pain at the same speed, then 15 members of the team will take 9 minutes to paint the wall.

The speed of all the members of the spray painting team is exactly the same.

5 members can paint a wall in 27 minutes.

Now, 15 members are painting the same wall.

Then the increase in man power is:

15 / 5 = 3 times more than before.

Since there is an increase in man power, therefore the time taken to paint the wall will also decrease by the same factor.

Therefore,

The time taken by 15 members to paint the wall will be:

Time = 27 / 3

Time = 9 minutes

Hence, 15 members will take 9 minutes to paint the wall.

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Answer:

$5644.88

Step-by-step explanation:

Formula for Compound interest: P(1 + r/n)^nt

P: initial amount

r: Interest rate

n: number of times compounded pet t

t: time period (usually in years)

3460(1 + 0.085/1)^6 = 5644.8775806

Complete Question:

The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)

Which is the equation of the line of best-fit for this scatterplot? (2nd picture)

Answer:

D) y = (81/2)x - (160,069/2)

Step-by-step Explanation:

From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.

Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.

We need to find m, and then b to input into the formula to get our equation of the line.

==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:

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

m = (1492 - 1330)/(2013 - 2009)

= 162/4

m = 81/2

Next is to find b, which is the y-intercept

Recall, y = mx + b

Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:

Thus, we would have ==>

1330 = (81/2 * 2009) + b

1330 = (162,729/2) + b

1330 - 162,729/2 = b

(2,660 - 162,729)/2 = b

- 160,069/2 = b

Having known the values of m, and b, let's input their values to get the equation of the line.

Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be

==> y = (81/2)x +(-160,069/2)

y = (81/2)x - (160,069/2)

Answer:

d

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Let's use the equation:

y2 - y1/x2-x1

if we name the values and solve accordingly, we get:

-7-(-7)/-24-(-6)

0/-18

Therefore the slope is 0.

To verify, we know that the y coordinate is the same for both, meaning that the line does not slant.

Hope this helps!!

xx gloriouspurpose xx

Answer:

Let S = starting point

Let ST = length of tunnel

SR = 1414 m

RT = 2236 m

Set up:

ST^2 + SR^2 = RT^2

ST^2 + (1414)^2 = (2236)

Solve for RT to find your answer.

Step-by-step explanation:

Answer:  OPTION (B):   sin θ cos^2 θ

Therefore, The simplified expression is OPTION (B):   sin θ cos^2 θ,  

Which corresponds to:

sin^2 θ / csc θtan^2 θ  is   OPTION (B):   sin θ cos^2 θ,  

        Rewrite In Terms of SINE and COSINE:

        sin^2 θ / 1 / sinθ  *  sin^2 θ / cos^2 θ

        sin^2 θ / sin^3 θ / cos^2 θ

        sin^2 θ  *  cos^2 θ / sin^3 θ

        sin^2 θ * cos^2 θ / sin^3 θ   =   sin θ  * cos^2 θ / sin^2 θ

        sin θ * cos^2 θ / sin^2 θ    =    sin θ  cos^2 θ

       Therefore, Therefore, The simplified expression is

       OPTION (B):   sin θ cos^2 θ,  

        sin^2 θ / csc θtan^2 θ  is   OPTION (B):   sin θ cos^2 θ,  

I hope this helps you!

Answer:

585

Step-by-step explanation:

Given:

x = (16 + 29)13

large-sized ornaments = 16

medium-sized ornaments = 29

Thanks mber of boxes = 13

x = (16 + 29)13

= (45)13

= 585

x = 585

Answer:

y=-3x-10

Step-by-step explanation:

rise over run

slope is -9/3 and the y intercept is 10

Answer:

800

Step-by-step explanation:

Answer:

C.  800

Step-by-step explanation:

p = 1.50n - 500

700 = 1.50n - 500

1200 = 1.50n

n = 800

Answer:

g(-5) = -6

Step-by-step explanation:

We need to find value of g(-5)

Looking at the graph in figure when g = -5, the value on the graph is -6 as it is highlighted with blue point.

because we have x = -5 so, we will look at graph that passes through x and y when x= -5, so we get y=-6

So, g(-5) = -6

Answer:

5

Step-by-step explanation:

since the base of the log is 2x-4 we can bring up 2x-4 to be (2x-4)^3=216

2x-4=216^(1/3)

2x-4=6

x=5

hope that help :)

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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The probability that a truck will be loaded in 30 minutes or less, given that the time required to load a truck is exponentially distributed with a mean of 30 minutes, is approximately 0.632.

Since the mean of an exponential distribution is equal to the reciprocal of the rate parameter, which is λ = 1/30 = 0.0333, the probability density function of the distribution is f(x) = λe^(-λx).

To find the probability that a truck will be loaded in 30 minutes or less, we need to integrate the probability density function from 0 to 30 minutes. This gives us P(X ≤ 30) = ∫(0 to 30) λe^(-λx)dx = 1 - e^(-λ*30) = 0.632. Therefore, the probability that a truck will be loaded in 30 minutes or less is approximately 0.632.

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(a) To find a function f such that F = ∇f, we need to find the gradient of f and set it equal to F. So,

∇f = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

F = 2xz + y^2 i + 2xy j + x^2 + 15z^2 k

Setting the corresponding components equal to each other, we get:

∂f/∂x = x^2

∂f/∂y = 2xy

∂f/∂z = 2xz + 15z^2

Integrating each of these with respect to their respective variables, we get:

f(x, y, z) = (1/3)x^3 + x^2y + 5xz^2 + g(y)

where g(y) is an arbitrary function of y.

(b) Using the result from part (a), we have:

∇f = 3x^2 i + 2xy j + (10z + 6xz) k

C: x = t^2, y = t + 1, z = 3t − 1, 0 ≤ t ≤ 1

dr = (2t) i + j + (3) k

∇f · dr = (9t^4) + (4t^2) + (30t^2 - 18t - 3)

= 9t^4 + 34t^2 - 18t - 3

To evaluate C ∇f · dr, we substitute the values of x, y, z, and dr into the expression above and integrate with respect to t from 0 to 1:

C ∇f · dr = ∫₀¹ (9t^4 + 34t^2 - 18t - 3) (2t) dt

= 161/5

Therefore, C ∇f · dr = 161/5.

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The multiplicative inverse property of the questions that we have here are:

This is the term that is used in Mathematics to show that we are to multiply a fraction by the inverse of that fraction.

A good example of this would be the form that is written as:

1/a would have the inverse property written as a/1

such that 1/a *a/1 = 1

In the same way,

we have

9/7 * 7 / 9 = 1

4/3 * 3/4 = 1

5 1/3 = 16 / 3 * 3/ 16 = 1

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Answer:

y

=

x

2

−

2

x

,  

y

=

x

Step-by-step explanation:

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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The volume V of a cube is given by

where L is the lenght of one side. Hence, the side L measures

In the first case, the dog kennel has 27 ft^3 of volume, hence

that is, L is 3 feets of lenght.

In the same way, for the second case we have that,

that is, in the second case, L is 4 feet of lenght. This means that, 1 foot was added to each edge of the dog kennel.

To find the total mass of the region bounded by the curves y=2/x, x=1, x=4, and the x-axis, we need to integrate the density function δ(x) over the region.

First, we need to find the limits of integration for x. The curves y=2/x and x=1 intersect at y=2, so the lower limit is x=1. The curves y=2/x and x=4 intersect at y=1/2, so the upper limit is x=4.

Next, we can set up the integral:

M = ∫1^4 δ(x) dA

where dA is the area element. Since we are integrating with respect to x, dA = y dx.

Substituting in the density function δ(x) = x^1/3 grams/cm^2 and the curve y=2/x, we have:

M = ∫1^4 (x^1/3)(2/x) dx
M = 2∫1^4 x^-2/3 dx
M = 2(3x^1/3)|1^4
M = 6(4^(1/3) - 1)

Therefore, the total mass of the region bounded by the curves y=2/x, x=1, x=4, and the x-axis is approximately 6(4^(1/3) - 1) grams.

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