Distributive property

0.5(10y-4x+25)

Answer:

:what is the question

From the stem and leaf plot, we get the following data points-

10, 23, 23, 28, 33, 45, 80, 90

First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.

The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.

Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.

Hence we get Q2 = (28 + 33) / 2 = 30.5.

Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.

Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.

Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.

So, the interquartile range is 39.5.

Here's a similar problem you can try to solve-

https://brainly.com/question/29173399?referrer=searchResults

Answer:

4

Step-by-step explanation:

Here's my method of doing this:

We'll be using logarithms

Our question is:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])

we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.

what we can do is the following:

[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]

[tex]3^?[/tex] = 729

If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]

We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]

[tex]? \times log 3 = log 729[/tex]

[tex]? = \frac{log\ 729}{log\ 3}[/tex]

? = 6 (with a calculator)

This means that to get 729, we need to do [tex]3^6[/tex]

Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]

We can now solve the equation!

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]

Since each term of our equation has the same base of  [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!

We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]

Using this rule:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...

[tex]2 + x = 6[/tex]

[tex]x = 6 - 2 = 4[/tex]

Answer:

Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.

Given to us

Number of Paper clips Initialy= 72

Number of Paper clips now = 63

We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.

\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=

Initial value

Initial value −final value

×100

Substitute the value,

\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =

Initial value

Initial value −final value

×100

\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}

The percentage change in the paperclip

=

72

72−63

×100

=12.5%

Hence, the percentage change in the number of paper clips is 12.5%.

Learn more about Percentage:

https://brainly.com/question/8011401

Step-by-step explanation:

THIS ANSWER IS CORRECT

BRAIN LESS ANSWER

The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].

Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].

Solution

According to the question,

[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]

As a result, the value of [tex]x[/tex] is [tex]4[/tex].

Learn more about Linear equations here- https://brainly.com/question/15389595?referrer=searchResults

#SPJ2

Answer:

2 x 10^3 times

Step-by-step explanation:

-lukelaws

I hope I helped if I did please mark me brainliest!

Answer:

Reflection is every point is the same distance from a central line

Reflected is a transformation representing a flip of a figure

Step-by-step explanation:

Sorry!!!!

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

= 18

Answer: NO

Step-by-step explanation:

This is because if you think about it, only the people that want to do the survey do it. Those who dont want to do it dont have to. This makes it voluntary. Any time the surveyed person gets to choose if they can do it it is voluntary. Furthermore, If it is voluntary it can usually represent all of the different peoples. But in this case, the shy people dont get a say because they would choose to not survey. So the shy people would not be represented. That is why this isn't random.

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

Answer:

Give the other guy brainliest

Step-by-step explanation:

Part A: The x-intercepts are (-5/4, 0) and (3, 0)

0=4x^2-7x-15

0=4x^2-12x+5x-15

0=4x(x-3)+5(x-3)

0=(4x+5)(x-3)

Basic math:

x=-5/4

x=3

Part B: The vertex is going to be minimum because if a>0, then the parabola opens up and it is a minimum (a as in ax^2+bx+c).

In order to find the vertex's coordinates, we can use -b/2a. In the equation, b=-7, and a=4. The formula would look like or 7/8. We now know the x coordinate. We can use that to find the y value.

y=4(7/8)^2-7(7/8)-15=y=18  =-18.0625=289/16

Part C: Graph the x-intercepts found in part A, then graph the vertex found in part B. Then graph a U shape that opens up going through all the points to make the parabola. Because it is positive, the U will face up, not down.

Answer:

you'd land on A 3 times, on B 4 times, C 5 times

Step-by-step explanation:

you simply have to divide 12 by each of the values

so basically:

A= 12 : 4

B= 12 : 3

C= Well it's 5 out of 12 so the answers already there

answer: x < 8

Step-by-step explanation: the inequailty is 100 + 7.55x < 160 if you subtract 100 on both sides you get 7.55x < 60 divide 7.55 you should get 7.947 which rounds up to 8 so your answer would be x < 8

Answer:

1) y=3 (0,3)

2) y=7 (4,7)

3) y=8 (5,8)

4) y=9 (6,9)

Step-by-step explanation:

These are the answer because you are just adding 3 to the x coordinate which will be the number for the y coordinate.

The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.

Then the combined height of the flowers Persia uses will be

→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10

→ 61.25

The number 61.25 can be written as

→ 61 and 1/4 inches

More about the dot plot link is given below.

https://brainly.com/question/22746300

#SPJ2

Answer:

32 spot light

Step-by-step explanation:

lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

Answer:

I need the table, if you give the table ill answer it right away.

Step-by-step explanation:

Answer:

1.53$

Step-by-step explanation:

Do the equation 16 / 10.40 = 1.53.

pls give brainliest

Answer: I got A is 350 over 13 and B is 400 over -13

Step-by-step explanation:

Hope this helps!

The height of a cone with a volume and base area of 2,144.7 cubic inches and 201.1 square inches respectively is 32 inches

volume of a cone = 1 / 3 πr²h

where

Therefore,

volume of the cone =  2,144.7 cubic inches

Base area = 201.1 square inches.

πr² = Base area

Therefore,

2144.7  = 1 / 3 × 201.1  × h

6434.1 = 201.1 h

h = 6434.1 / 201.1

h = 31.9945300845

h = 32 inches

learn more on volume here: https://brainly.com/question/16506575

#SPJ2

Answer:

volume=Length x width x height

so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.

Step-by-step explanation:

Answer:

227 square feet

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

Filling in the given information, we have ...

2043 ft³ = B·(9 ft)

Dividing by the coefficient of B gives its value:

B = (2043 ft³)/(9 ft) = 227 ft²

The area of the floor is 227 square feet.

I hope this helped have a great day

Answer:

57

Step-by-step explanation:

There's three shapes, 2 triangles and 1 rectangle.

1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.

2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.

3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.

4. 8*8 is 64, and dividing that by 2 is 32.

5. Add all of the numbers: 10+15+32, which is 57.

The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,

Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A                               = 1/2 × 8 inches × 8 inches

                              = 32 inches²

Area of rectangle = Length × Breadth

                             = 5 inches × 2 inches

                             = 10 inches²

Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B                                         = 1/2 × 5 inches × 6 inches

                             = 15 inches²

Further, the total area of the shape can be written as,

Total area = 32 inches² + 10 inches² + 15 inches²

                 = 57 inches²

Hence, the total area of the given figure is 57 inches².

Learn more about the Area here:

https://brainly.com/question/1631786

#SPJ2

Answer:

C.

Step-by-step explanation:

Answer:

the mode that repeats the most is 2.2 becuase to find it you need to find the number that repeats the most in the table. To find the median you add all the numbers and divide them to get the answer that is 2.7 for the mean but to find the median you need to order them from least to greatest and the answer you get for the median is 2.6 so hopefully that is the correct answer for all of them.

Step-by-step explanation: Mark me brainliest please if you want and see you next time :DDDDDDDDD

Answer:

9/41+10/41 which is 19/41

Step-by-step explanation:

If its right, mark me as brainliest

Answer:

spark addition is a left to right addition