What is the BEST way to describe the center of the data represented in this line plot

select from the drop- down menus to correctly complete the statement

The A. mean B. median is A. 4 inches B. 4.5 inches C. 5 inches D. 5.5 inches

PLEASE HURRY ITS DUE AT 4

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The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You can perform the division and look at the quotient and remainder to convert an improper fraction to a mixed number.

  23 ÷ 6 = 3 r 5   ⇒   23/6 = 3 5/6 ≠ 4 1/6

  11 ÷ 4 = 2 r 3   ⇒   11/4 = 2 3/4 ≠ 2 1/2

  35 ÷ 4 = 8 r 3   ⇒   35/4 = 8 3/4

  15 ÷ 8 = 1 r 7   ⇒   15/8 = 1 7/8

  40 ÷ 12 = 3 r 4   ⇒   40/12 = 3 4/12 = 3 1/3

Answer:

12

Step-by-step explanation:

As we can see in the picture, the bigger pentagon is a scale copy of the smaller one with a scale factor of 2. Hence, all the sides on the smaller pentagon multiplied by 2 gives us the bigger pentagon. We can find the scale factor by looking at the biggest side of the pentagon. Hope this helped, Thank you.

Answer:

\(\textsf{1)}\quad y = \dfrac{4}{3}x-\dfrac{13}{3}\)

\(\textsf{2)} \quad y = \dfrac{3}{2}x-6\)

Step-by-step explanation:

To find the equation of a line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1), we first need to find the slope of the line joining (1, 2) and (-2, -2).

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-2}{-2-1}=\dfrac{-4}{-3}=\dfrac{4}{3}\)

Parallel lines have the same slope, so the slope of the parallel line is m = 4/3.

Substitute the found slope and point (4, 1) into the point-slope formula:

\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - 1 &= \dfrac{4}{3}(x - 4)\\\\y - 1 &= \dfrac{4}{3}x-\dfrac{16}{3}\\\\y &= \dfrac{4}{3}x-\dfrac{13}{3}\end{aligned}\)

Therefore, the equation of the line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1) is:

\(\boxed{y = \dfrac{4}{3}x-\dfrac{13}{3}}\)

\(\hrulefill\)

To find the equation of a line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3), we first need to find the slope of the line joining (2, -3) and (-1, -1).

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-(-3)}{-1-2}=\dfrac{2}{-3}=-\dfrac{2}{3}\)

The slopes of perpendicular lines are negative reciprocals, so the slope of the parallel line is m = 3/2.

Substitute the found slope and point (2, -3) into the point-slope formula:

\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - (-3) &= \dfrac{3}{2}(x - 2)\\\\y+3&= \dfrac{3}{2}x-3\\\\y &= \dfrac{3}{2}x-6\end{aligned}\)

Therefore, the equation of the line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3):

\(\boxed{y = \dfrac{3}{2}x-6}\)

Answer:

15

Step-by-step explanation:

Answer:

Option D - Line P

Step-by-step explanation:

Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545

Answer:

(x-4)^2=-8(y-3)

This is a parabola.

Step-by-step explanation:

Since the directrix is horizontal, the parabola faces up or down. Since the focus is below the directix it faces down. This means p will be negative in the equation (x-h)^2=4p(y-k).

p also tells us the half the distance between the focus and the directrix. The distance between 1 and 5 is 4, so p=-2.

The vertex is half way point between focus (4,1) and directrix y=5.

So the vertex is (4, [1+5]/2 )= (4 ,6/2)=(4,3). This is (h,k) in our equation.

(x-h)^2=4p(y-k)

(x-4)^2=4×-2(y-3)

(x-4)^2=-8(y-3)

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

Only if they are the same shape and size.

Step-by-step explanation:

Congruent means they have the same shape and size, basically a copy of the triangle they are the same.

However, if they are the same shape but different size that means they are similar NOT congruent.

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer: So for the 9.5% percent I'm not sure if you mean by 9.5% off the price or more for the price so Ill just do both

If you subtract $300 from 9.5% you get 271.5 US$

But if you add $300 to 9.5% you get 328.5 US$

The probability that the student lived in the Gold dorm and was an underclassmen is of:

0.035 = 3.5%.

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

The parameters for this problem are given as follows:

Hence the probability that the student lived in the Gold dorm and was an underclassmen is calculated as follows:

p = 0.7 x 0.05 = 0.035 = 3.5%.

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Answer:

25.5

Step-by-step explanation:

3 large necklaces equals 20.4 plus 5.10 equals 25.5

Explanation:

Volume of prism A = 1536 cubic meters

Volume of prism B = 375 cubic meters

Recall that to evaluate an equation at a given value, we substitute the variable by the given value.

Also, recall that:

Therefore, substituting s=8ft in

we get:

Simplifying the above equation we get:

Answer: Option A.

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

dont click that other guys link its an ip grabber

Step-by-step explanation:

Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Not sure if I'm right, but is
it RL- lol

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

\(\boxed{\tt m=0}\)

Step-by-step explanation:

The slope formula is:

\(m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)

where (x₁, y₁) and (x₂,y₂) are the points on the line.

The points given are (-2,8) and (-22,8). Therefore,

\(x_{1}=-2\\y_{1}=8\\x_2=-22\\y_2=8\)

Substitute the values into the formula.

\(m=\frac{8-8}{-22--2}\)

Solve the numerator. Subtract 8 from 8.

\(m=\frac{0}{-22+2}\)

Zero divided by any number is zero, so we automatically know the slope is zero.

\(m=0\)

The slope of the line is 0

Answer: 0

Step-by-step explanation:

To find the slope, you need to use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). You use the given points to plug in and solve.

\(m=\frac{8-8}{-22-(-2)} =\frac{0}{-20}=0\)

Now, we know that the slope is 0 meaning this is a horizontal line.

The coordinates of B is (22.5, -3.6)

The points are given as:

G = (8.3,-1.4)

B = (x,y)

L = (-5.9,8).

The midpoint is calculated as:

G = 0.5 * (x1 + x2, y1 + y2)

So, we have:

(8.3,-1.4)  = 0.5 * (x - 5.9, y + 0.8)

This gives

(16.6,-2.8)  = (x - 5.9, y + 0.8)

Solve for x and y

x - 5.9 = 16.6

y + 0.8 = -2.8

Evaluate

x = 22.5

y = -3.6

Hence, the coordinates of B is (22.5, -3.6)

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Answer:

1) Not congruent

2) AAS

3) Not congruent

4) SAS

5) SSS

6) ASA

Step-by-step explanation:

In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle.  If the sides and angles are congruent in any of those patterns, the triangles are congruent.

Hope it helps <3

Answer:

1. Not congruent

2. AAS, Congruent

3. Not congruent

4. SAS, congruent

5. SSS, congruent

6. ASA, Congruent

Step-by-step explanation:

1. Not congruent

It only shows that there are 3 similar angles. There were no sides described.

2. AAS, Congruent

They are congruent, just rotated in an angle (see proof 2)

3. Not congruent

It only shows 2 sides next to each other and an angle next to one side.

4. SAS, congruent

It shows 2 sides that are congruent and congruent angles between them (see proof 4)

5. SSS, congruent

All 3 sides are congruent (see proof 5,6)

6. ASA, Congruent

2 angles and an adjacent side are congruent(see proof 5,6)

Answer:

-x^2-2x+3

1/2x^2-2x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the information given:

Classes        Relative Frequency

0 - < 5            0.176

5 - < 10           0.169

10 - < 15         0.179

15 - < 20        0.139

20 - < 30       0.193

30 - < 40       0.075

40 - < 60       0.040

60 - < 90       0.029

                          1

(a)

So from above; the proportion of samples that are at least 30° can be computed as:

P(at least 30°) = (0.075 + 0.040 + 0.029)

P(at least 30°) = 0.144

(b)

The proportion of angles between 10° and 25°  = (0.179 + 0.139 + 0.193)

= 0.511

(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;

From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.

6. The distribution of misorientation angles is bimodal.

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer: graph 1:no graph 2:no graph 3: yes graph 4: yes graph 5: no

graph 6: no

Step-by-step explanation:

Answer:

Graph 1 I think is yes because when determining if a function, you do the vertical line test meaning you place an imaginary vertically on the graph and if there is 2 points on the line at once, like for graph 5 or 6, then it isn't a function.

Therefore,

Graph 1: Yes

Graph 2: No

Graph 3: Yes

Graph 4: Yes

Graph 5: No

Graph 6: No