Find the mode, median, mean and range for this set of data.
Shoe Size: 10, 10, 5, 11, 7, 11, 8.5, 11, 8.5, 7,9
Select the correct response:
Mode=7, Median=7.5, Mean=7.64, Range=5
Mode=8, Median=8, Mean=7.45, Range=3
Mode=9, Median=8, Mean=8.09, Range=5
Mode=11, Median=9, Mean=8.91, Range=6

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

Answer:

6.3 cm^3

Step-by-step explanation:

volume of a pyramid = 1/3(length x width x height)

perimeter of a square = 4 x length

6.9 = 4 x length

length = 6.9 /4 = 1.725

Volume = 1/3 x (1.725 x 1.725 x 6.4) = 6.348

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

r = 4.24 inches

Step-by-step explanation:

Given that,

The surface area of the ball, A = 226.8 sq inches

The formula for the surface area of a sphere is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the ball

[tex]r=\sqrt{\dfrac{A}{4\pi}} \\\\r=\sqrt{\dfrac{226.8}{4\pi}} \\\\r=4.24\ inch[/tex]

So, the radius of the ball is 4.24 inches.

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

First, you would plot the point (-2,-5). The next part requires an understanding of what slope is. My teacher told me slope was "rise over run." Basically, the numerator is how much the value of y increases when x increases by the number that's in the denominator. What that means is, when you add 7 to the x value, you add 2 to the y value. You can use this to find another point to graph.

(-2+7,-5+2)

=(5,3)

You can plot this point and draw a line through both points, and you're finished.

Another thing could do is draw a slope triangle. Draw a line (segment) from (-2,-5) for 7 units in the direction of the x-axis. Draw a line (again, a segment, really. We have to be technical xD) from where that segment ends for 2 units in the direction of the y-axis. Plot a point where that ends, and it should be (5,3). Draw a line through (5,3) and (-2,5), and you're done.

Hope I could help you!

Answer:

not similar

Step-by-step explanation:

Answer:

a)  f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

    g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

    f and g are inverses

b)   f(g(x)) = x + 3 + 3 = x + 6

     g(f(x)) = x + 3 + 3 = x + 6

     f and g are not inverses

Step-by-step explanation:

a)

f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

Since f(g(x)) = g(f(x)) = x, then f and g are inverses

b)

f(g(x)) = x + 3 + 3 = x + 6

g(f(x)) = x + 3 + 3 = x + 6

Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses

Answer:

False the vertex will not always be on the axis of symmetry.

(I may be wrong, please don't be mean its what I was taught)

Answer:

It's J

Step by Step Explanation:

Answer:

b

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o

Answer:

33b-8 is the perimeter

Step-by-step explanation:

Triangle is an Isosceles triangle so two side is equal

2(12b - 8) + 9b + 8

Distribute

24b - 16 + 9b + 8

Combine like terms

33b -8

Answer:

30m²

Step-by-step explanation:

To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.

a² + b² = c²

5² + 12² = 169

13² = 169

By converse of Pythagoras Theorem, the triangle is a right-angled triangle.

Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.

Area = 12 × 5 ÷ 2

        = 30m²

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

it might be positive slope

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

okay so the equation would be y=10x+15

x is the # of hours and y is the total cost

this linear equation is in the form y=mx+b

in these equations, the value of m is the slope

since our m would be 10, the slope is 10

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8

Answer:

A. 55:12

Step-by-step explanation:

Sana nakatulong

Answer:

1 banana, 1 cup flour, 2/3 cup sugar

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Answer:

ab - ac -a + c

8x - 8y

bx - 36x

Step-by-step explanation:

Given:

Rewrite in simple form

Computation:

1. a(b -c) - (a-c)

ab - ac -a + c

2.  6(2x - y) - 4(x + 2y)

12x - 6y - 4x - 2y

8x - 8y

3.  x(a + b)-x(a +36)

ax + bx - ax - 36x

bx - 36x

Answer:

A

Step-by-step explanation:

you don’t make money for working 0 hours

Answer:

A

Step-by-step explanation:

If you multiply the number of hours by 11, you get the correct amount of earnings ($)

Answer:

Step-by-step explanation:

Answer:

To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this is (4x^2)^3 + 3^3

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

#SPJ2

Answer:

a:  11:7

b: 11:

I hope this helped :)