Find the median for the following group of data items. Remember to put the data in numerical order first. 4,5, 8, 13, 15, 16, 18

Answer:

-6/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use two of the given points to solve.

-6-6/-5-5

12/-10

-6/5

Got it off the internet hope it helps 8)

Answer:

6 people

Step-by-step explanation:

To figure this out, let's set up an equation.

We know 30 people went last year to Universal, and that this is 5 times as many people as who went the year before

So to figure out how many went the year before, we divide 30 by 5

30/5 = 6

So 6 people went to Universal the year before.

I hope this helps :)

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

C-40

Step-by-step explanation:

\( \\ le t \: the \: number \: of \: comic \: book \: be \: x \\ \frac{40}{100} \times x = 16 \\ \frac{40x}{100} = 16 \\ cross \: multiply \\ 40x = 1600 \\ divide \: through \: by \: 40 \\ \frac{40x}{40 } = \frac{1600}{40} \\ x = 40\)

Answer:

and

Step by step explanation:

An angle is in standard position if its vertex is located at the origin, and its initial side extends along the positive x-axis.

The amount of money which would be in the account after 14 years is; $18,123.77.

The number of years it'd take for the money to double is; 13.86 years.

Since the given model of the account is;

A (t) = 9000e^0.05t

After 14 years, it follows that; t = 14.

Therefore;

A (14) = 9000e^0.05(14)

A (14) = 9000 × 2.013752707

A (14) = $18,123.77.

Also, the doubling time implies that; A (t) = 18,000

Therefore, 18000 = 9000e^0.05t

2 = e^0.05t

0.05t = ln (2)

t = ln (2) / 0.05

t = 13.86 years.

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Answer:

i need help

Step-by-step explanation:

Answer:

0.1317

Step-by-step explanation:

Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

<95141404393>

Answer: x=-2

Step-by-step explanation: Distribute then add -54 to both sides bam then divide by -2

Answer:

X= -10 | Hope this helped! :')

Steps for answer!

1. Divide both sides by -2.

x+27=-34/-2

2. Two negatives make a positive.

x+27=34/2

3. Simplify  34/2 to  17.

x+27=17

4. Subtract 27 from both sides.

x=17-27

5. Simplify  17-27 to  -10.

x=-10

---------------------

Checking answer:

−2(x+27)=−34

1. Let x=−10.

−2×(−10+27)=−34

2. Simplify  -10+27 to  17.

−2×17=−34

3. Simplify  -2 x 17  to  -34.

-34=-34

Done by NeighborhoodDealer.

Answer:

Equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Step-by-step explanation:

We need to write an equation of a line through (15, 8) that is perpendicular to the line y =57 x −1.

The equation will be in slope-intercept form: \(\mathbf{y=mx+b}\)

Where m is slope and b is y-intercept.

Finding Slope of new line

We are given equation \(y =57x-1\) of line, which is perpendicular to the line whose equation we need to find.

If the lines are perpendicular there slopes are inverse of each other i.e \(m_1=-\frac{1}{m_2}\)

Slope of given line is m= 57 ( compare the given equation with standard slope-intercept form the value of m is 57

Slope of new line is m= \(-\frac{1}{57}\)

Finding y-intercept of new line

Now finding y-intercept (b) for new line. It can be found using point (15,8) and slope m = \(-\frac{1}{57}\)

\(y=mx+b\\8=-\frac{1}{57}(15)+b\\8=-\frac{15}{57}+b\\b=8+\frac{15}{57}\\b=\frac{8*57+15}{57}\\b=\frac{471}{57}\\b=\frac{157}{19}\)

So, y-intercept b of new line is: \(b=\frac{157}{19}\)

Equation of required line

Equation of line having slope m= \(-\frac{1}{57}\) and y-intercept  \(b=\frac{157}{19}\) is:

\(y=mx+b\\\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

So, equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Answer:

42

Step-by-step explanation:

similar triangles

24/x = (24+8)/x+14

that looks complicated so we do

8/24 = 14/x

or

24/8 = x/14

3 = x/14

x = 3*14

x = 42

we test it with the first equation

24/42 = 32/56

simplify

4/7 = 4/7

true so 42 is correct

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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The word best describes the degree of overlap between the two data sets

O low

The degree of overlap generally refers to the extent to which two or more sets share common elements.

Specifically the degree of overlap can be defined as the number of elements that are contained in more than one of the sets being considered

In the problem the degree of overlap is low, since the data points shared only points 50 and 55

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The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

5+6= 11

78-11= 67

That is the final answer

Answer:

x = 1 and y = 1

Step-by-step explanation:

7(1) minus 3(1) = 4

and 2(1) minus 1 = 1

just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.

Answer: Use the app: photomath

Step-by-step explanation:

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

less than -7

Step-by-step explanation:

The product of -7 and 4 is -28, therefore it is less than -7.

Answer:

less than -7

Step-by-step explanation:

-7 times 4 = -28

Answer:

Look at the explanation :)

Step-by-step explanation:

Angle 2 and 3 are supplementary angles, which means they are equal.

Therefore, if

Angle 2 = 4x - 26

and

Angles 3 = 3x + 4,

It means that 4x - 26 = 3x + 4

Solve it,

4x = 3x + 30

x = 30

Input x to each angles,

Angle 2,

4(30) - 26 = 120 - 26 = 94

Angle 3,

3(30) + 4 = 90 + 4 = 94

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Let A be the event that exactly one of the sampled tiles is defective.

In a batch of 17 tiles, 7 are defectives.

3 tiles are sampled at random.

3 tiles can b eselected from 17 tiles in

ways.

Therefore, the number of points in sample space is 680.

Now, 1 defective item can be selected from 7 defetctive items in 7 different ways. For each of these ways, remaining two items can be selected from (17-7)=10 non-defective items in

ways.

Therefore, from the batch of 17 tiles, 3 items can be selected so that exactly one item is defective in

ways.

Therefore, total number of points in sample space in favour of the event A is 315.

By classical definition of probability,

Hence, the probability that exactly 1 of the sampled tiles is defective is

The value of 2 digit number has order rotational of 2 is, 16

And, The value of 3 digit number has order rotational of 2 is, 931

Now, For a two-digit number with an order rotational of 2, it means that if you flip the digits, you get a different but still valid number.

Hence, There are a few such numbers, but one example is 16 which becomes 61 when you flip the digits.

And, For a three-digit number with an order rotational of 2, it means that if you rotate the digits, you get a different but still valid number.

And, There are also a few such numbers, but one example is 319 which becomes 931 when you rotate the digits.

Thus, The value of 2 digit number has order rotational of 2 is, 16

And, The value of 3 digit number has order rotational of 2 is, 931

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