set a= {7,4, x, 8, 10, 5, 2}
if the median of set A is also its average, then what is one possible value of x?
a. 4
b. 6
c. 10
d. 16

The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

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What is the equation of the line passing the point (-1, 2) with a slope m?

The shortest distance from the given surface function to the origin is 9 units.

What is function?

A function in mathematics is nothing but a relationship among the inputs i.e. the domain and their outputs i.e. the codomain where each input has exactly one output, and the output can be find by tracing back to its input.

Let us take the square of distance function be f(x, y, z)= x² + y² +z²

Given function is g(x, y, z)= xy+12x+z²

Now applying Lagrange multiplier as ,

∇f(x, y, z)= λg(x, y, z)

Now finding the gradient to both sides ,

< 2x, 2y, 2z>=λ <y+12, x, 2z>

Now equating both sides we get,

2x= λ(y+12), 2y= λx, 2z= 2λz

So solving we get,

λ=1

putting the value of λ in 2x= λ(y+12) and 2y= λx we get,

2x= y+12 and 2y= x

solving these two equations we will get,

x= 8 and y=4

Now plugging all these values in the equation

xy+12x+z²= 129 and solve for z,

32+96+z² =129

z²= 129-128

z²=1

z=±1

Now for x= 8, y=4 and z= ±1 the function f(x, y, z) becomes

(8)²+(4)²+(1)²

= 64+16+1

= 81

d=√81

Hence, the shortest distance from the given surface to the origin is 9 units.

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Answer:

X=1

Step-by-step explanation:

I looked It up ¯\_(ツ)_/¯

The most appropriate choice for percentage and fraction will be given by-

The process of conversion of fraction to percentage has been explained.

What is fraction and percentage?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

If a number is taken as fraction of 100 then the fraction is known as percentage.

To convert a fraction into percentage, we have to simply multiply the fraction with 100.

For example.

Suppose we have a fraction \(\frac{1}{4}\), we need to convert  \(\frac{1}{4}\) to percentage.

So on multiplying \(\frac{1}{4}\) by 100, we obtain = \(\frac{1}{4} \times 100\) = 25%

So, \(\frac{1}{4}\) is equivalent to 25%

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Answer:

52.5 miles

Step-by-step explanation:

5 miles = 8 km

→ Find how many miles in 1 km

8 km = 5 miles

1 km = 0.625 miles

→ Multiply both sides by 84

84 km = 52.5 miles

i hope this work for you

and sory if im wrang

Answer:

(- ∞,∞)

there is no restriction when taking  cube roots

Step-by-step explanation:

Take the root of both sides and solve.

x = 8√−10, −8√−10

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Pentagon ABCDE will have equivalent side lengths to corresponding sides of pentagon A'B'C'D'E'.​ Q: Pentagon ABCDE is rotated 90° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is NOT true?

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer:

A. The total number of three-card hands (permutations) that can be made with two aces is 576

B. The actual number of two-ace hands (combinations) you can get from a deck of 52 cards is 288

C. The probability of drawing a three-card hand that includes two aces from a deck of 52 cards is 0.0130

Step-by-step explanation:

A. In order to calculate the total number of three-card hands (permutations) that can be made with two aces we would have to make the following calculation:

total number of three-card hands (permutations) that can be made with two aces=4*3*52

total number of three-card hands (permutations) that can be made with two aces=576.

B. In order to calculate the actual number of two-ace hands (combinations) you can get from a deck of 52 cards we would have to make the following calculation:

actual number of two-ace hands (combinations) you can get from a deck of 52 cards=4C2*48

4C2=4!/2!2!

C2=6

Therefore, actual number of two-ace hands (combinations) you can get from a deck of 52 cards=6*48=288

C. In order to calculate the probability of drawing a three-card hand that includes two aces from a deck of 52 cards we would have to make the following calculation:

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=actual number of two-ace hands (combinations) you can get from a deck of 52 cards/52C3

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=288/22,100

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=0.0130

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

The water level drop each​ hour by 0.0384 inch

Firstly, the deacrease in water level is takes as per the question

Decrease = 3/8 inches

Decrease=0.375 inches

Then the time interval is calculated

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now, the drop in water level per hour is determined, to do so, total water level decreased is divided by the time taken to decrease that water level

that is 0.375/9.75 inches/hour

= 0.03846 inches/hour

Therefore, if between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches and the water level decreased at a constant​ rate, the water level drop each​ hour is 0.03846

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:

Infinitely Many Solutions!

Steps I used to get the answer :

1. Cancel -3x−3x on both sides.

15=11+4

2. Simplify  11+4 to  15.

15=15

3. Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions!

Done by NeighborhoodDealer.

Answer:

Step-by-step explanation:

Solve for x:

15 - 3x = 11 - 3x + 4

Subtract 4 from both sides

15 - 3x - 4 = 11 - 3x + 4 - 4

11 - 3x = 11 - 3x

This equation has infinite solutions since both sides of the equation are equal.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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Answer:

y>-1.3

Step-by-step explanation:

y+2.1>0.8

 -2.1.   -2.1

   y>-1.3

Hopes this helps please mark brainliest

Answer:

Hi! Okay so the Inequality form would be: Y>-1.3

and the Interval Notation would be: (-1.3, ∞)

Sorry if it doesn't work btw

Step-by-step explanation:

11.4 centimeters is the radius of the cylinder .

What does volume mean in plain terms?

The capacity of a solid shape is determined using volume, a three-dimensional quantity.

                     It implies that a closed figure's volume determines how much three-dimensional space it can fill.

The volume of a cylinder is given by

   v = πr²h

The total volume of the two hemispheres is given by

   v' = 2× 2/3 πr³

    v' = 4/3 πr³

Now, the total volume of the solid is given by:

  \(V_{T}\) = πr²h + 4/3 πr³

  Now, substitute the value of the total volume in the above expression and then solve for h.

       12 = πr²h + 4/3 πr³

        h = 12/πr² - 4r/3

Now, the surface area of the curved surface is given by:

        A = πrh

Now, the surface area of the two hemispheres is given by

      A' = 2 × (2πr² )

      A' = 4πr²

Now, the total area is given by

    \(A_{T}\) = 2πr ( 12/πr² - 4r/3) + 4πr²

 Simplify the above expression.

  \(A_{T} =\)  24/r + 4πr²/3

Now, differentiate the total area with respect to 'r'.

      \(\frac{dA_{T} }{dr}\) = -24/r² + 8πr/3

Now, equate the above expression to zero.

     0 = -24/r² + 8πr/3

Simplify the above expression in order to determine the value of 'r'.

        8πr³  =  60

         r =  11.4

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Thus, In a rhythmic pattern where the whole note is equal to 4 beats, a dotted whole note (o) receives 6 beats.

A dot to the right of a note lengthens it by half of its original value in music notation.

A whole note that has a dot to the right of it is referred to as a dotted whole note. Whole notes typically receive 4 beats.

The note's overall duration is 4 + 2 = 6 beats after the dot adds the note's original duration by half.

Hence, 06 is the right response since a dotted whole note in a time signature where a whole note is equal to 4 beats receives 6 beats.

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The value of integers c and I such that the ith random variable has the same distribution as x is C = 1, i = 4, and 10ci = 40

The CDF of x represents the cumulative probability that x takes on a value less than or equal to a given number. Since x represents a 4-sided die roll,

The CDF of x is a step function defined

F(x) = 0 for x < 1

F(x) = 1/4 for 1 ≤ x < 2

F(x) = 2/4 for 2 ≤ x < 3

F(x) = 3/4 for 3 ≤ x < 4

F(x) = 1 for x ≥ 4

Now, let's consider the random variable u, which is uniformly distributed on (0,1]. The CDF of u is given by:

G(u) = u for 0 < u ≤ 1

To find c and I such that the ith random variable has the same distribution as x, we need to equate the CDFs of x and u.

F(x) = G(u)

Comparing the CDFs, we can see that F(x) jumps by 1/4 at each interval, while G(u) increases linearly with u.

To match the CDFs, we can set i = 4 and c = 1. This means that we take the fourth roll of the 1-sided die (i.e., the constant value of 1) to obtain the same distribution as x.

Therefore, 10ci = 10 × 1 × 4 = 40.

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The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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Answer:

Joan has 78 Stickers left

Step-by-step explanation:

Joan gave 74 stickers to Sally: 263 - 74 = 189

Remaining Stickers: 189

Joan gave 51 stickers to her sister: 189 - 51 = 138

Remaining Stickers: 138

Joan gave 60 stickers to Jason: 138 - 60 = 78

Remaining Stickers: 78

Answer:

density

Step-by-step explanation:

the number of population distributed in a certain area, that is generally in km², is the density.

It can be calculated with the following data: Number of population/km²

Extra information: it obviously is an approximated value, because in certain areas it can be much higher (metropolis, for example, generally have a very high population density, meanwhile in the countryside it can be much lower). Generally, it varies from area to area.

The number of individuals in a population divided by the area that the population takes up is known as the density of the population.

Population density refers to the number of individuals in a population per unit of area. It is a measure of how crowded or dispersed a population is within a given area.

Population density is calculated by dividing the total population of an area by the total land area or water area of that region. The resulting number is often expressed in individuals per square kilometer or square mile, depending on the units of measurement used.

Population density is an important ecological concept because it can affect the ability of a population to survive and thrive within a given area. Populations that are too dense may experience competition for resources, disease outbreaks, and other negative effects.

On the other hand, populations that are too dispersed may have trouble finding mates and maintaining genetic diversity. Population density can also be used to track changes in populations over time, and to inform conservation and management efforts.

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