The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
-
42
45
48
51
54
57
60

Answer:

[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]

Step-by-step explanation:

The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

We have given the equation,

2x²+2y²-8x + 10y+2 = 0

Divide by 2,

x²+y²-4x + 5y+1 = 0

Arranging the terms to make a complete square of variable x and y.

x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4

(x-2)²+ (y + 5/2)² = 37/4

This is the form of a circle.

Use this form to determine the center and radius of the circle.

(x−h)²+(y−k)²=r²

Match the values in this circle to those of the standard form.

The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.

r=(√37) / 4, h=2, k= -5/2

The center of the circle is found at (h,k).

Center: (2, -5/2)

Therefore, center: (2, -5/2), radius: (√37) / 4

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Answer:

Zeros: 1/3 and -1/3

Step-by-step explanation:

You can solve this for the zeros by using the factoring method:

p(x) = (-3x-1)(3x-1)

Then, you take each factored equation and set it equal to zero:

-3x-1=0

3x-1=0

Then, solve for zero:

-3x=1    x=-1/3

3x=1     x=1/3

Your zeros are 1/3 and -1/3.

Answer:

your answer is in the attachment

Step-by-step explanation:

Answer:

C) 3

Step-by-step explanation:

Plug in the values on c and d and solve

((3)^2 + (2)^2) - 2((3)^2 - (2)^2)

Solve inside the parenthesis first

(9+4) - 2(9-4) = (13) - 2(5)

Distribute the 2 and solve

13 - 10 = 3

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

The simplified form of an expression is the simplest way of expressing it, which is obtained  by applying the required operations of mathematics.

The expression given as,

[tex]2x(x - 6) - 7x^2 - (13x - 3)[/tex]

Open the brackets to solve it further,

[tex]2x(x - 6) - 7x^2 - (13x - 3)\\2x^2-12x-7x^2-13x-3\\2x^2-7x^2-12x-13x-3\\-5x^2-25x-3[/tex]

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

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After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.

f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?

Replace x in each equation with -2:

f(x) = 8 -10(-2) = 8 +20 = 28

g(x) = 5(-2) + 4 = -10 + 4 = -6

Now multiply the two"

28  * -6 = -168

The answer is -168

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Answer:

.6

Step-by-step explanation:

We want to get the denominator to 10

3/5 * 2/2 = 6/10

The decimal equivalent is

.6

Answer:

5

Step-by-step explanation:

[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]

According to the information, the year Darryl and his family arrived in the city was 2001.

To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.

According to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.

Note: This question is incomplete because the options and image are missing. Here is the complete information:

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20 students. divide by half for borwn eyes. 10 left. subtract 3 because 3/10. That leaves 7. If you do 20 times 5, you get 100. 7 times 5 equals 45.

The answer is 45%

Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

[tex]T = 325 \times 10^7 = 3,250,000,000[/tex]

3,250,000,000 phone numbers are possible.

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Concentric circle simply means the circle that has a common center or axis.

Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.

An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:

(x - h)² + (y - k)² = r².

In conclusion, when two circles have same center, they're called concentric circles.

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Answer:

2.635 x 10-3

Step-by-step explanation:

Since 0.0020635 has 3 zeros on the left of 2 then the power on 10 needs to be 3. AND since the zeros are in the left of 2 not right of 2, the power needs to be negative. So, 10^-3

Answer: hope I helped look down

Step-by-step explanation:

Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%

1.625 more handfuls

To start, we know that Norma ate 3 handfuls

n (Norma) = 3

Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls

b (Brennan) = 1.375

To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.

An equation for this (if it helps) would be

n - b = x

To solve, substitute the values to find x

In conclusion, Norma ate 1.625 more handfuls than Brennan

Answer:

11500

Step-by-step explanation:

15÷100 = 0.15

0.15 × 10000 = 1500

10000 + 1500 = 11500

Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

therefore, the roses are closest to the surface.

Option A

Ed must give Fay a total of £45 for both to have the same amount of money.

Total = £330

= 11

Ed share = 7/11 × 330

= £210

Fay share = 4/11 × 330

= £120

For Ed and Fay to have the same amount of money, their share must be exactly half of £330.

That is, they must each have £330/2

= £165

Fay:

£165 - £120 = £45

Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.

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Answer:

2/5x

Step-by-step explanation:

The equation of a line in slope intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

1) Rearrange the terms so it matches y = mx + b. In this case, it is already rearranged.

5y = 2x - 15

2) Divide the terms by 5.

y = 2/5x - 3

Answer:

2/5 is the slope of the line 5y = 2x - 15

Step-by-step explanation:

y = mx + b

                 m = slope

                  b = y-intercept.

5y = 2x - 15

Divide  both sides  by 5.

y = 2/5x - 3

  2/5 =m

2/5=slope

Answer:

A.[tex]200.96 \: {ft}^{2}[/tex]

Step-by-step explanation:

Corral is circular in shape.

Radius of the corral would be be the distance from the post to the edge of the corral.

-> r = 8 ft

[tex]A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} [/tex]

Answer:

100

Step-by-step explanation:

Here is a story problem that can go with this:

There was [tex]\frac{3}{4}[/tex] of the cake left after the party. Matthew ate [tex]\frac{2}{6}[/tex] of the leftover cake. How much of the cake did Matthew have?

Answer:

See below ↓

Step-by-step explanation:

There were 24 ice cream cones of different flavors for sale. Marcos buys 3/4 of them and Angelo buys 2/6 of them from Marcos. What is the fraction of the flavors Angelo bought?

Answer:

40 is answer follow me I give you the answer

Answer:

40 i think

Step-by-step explanation:

Answer:

Answer is 1/5 which is exactly 0.2

Step-by-step explanation:

5x + 1 = 2

5x = 2 - 1

5x = 1

x = 1/5

x = 0.2

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution :-

We know that,

Substituting the required values,

➝ Surface area= 2 × 22/7 × 6 (6 + 4)

➝ Surface area = 264/7 (10)

➝ Surface area = 2640/7

➝ Surface area ≈ 377 cm²

Hence,

After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.

As we know that total surface area of cylinder is calculated by the formula :

Where,

★ Putting the values in the formula :

>> T.S.A. = 2πr (h + r)

>> T.S.A. = 2 × (22/7) × 6 (6 + 4)

>> T.S.A. = 2 × (22/7) × 6 (10)

>> T.S.A. = 2 × (22/7) × 6 × 10

>> T.S.A. = 2 × (22/7) × 60

>> T.S.A. = (44 / 7) × 60

>> T.S.A. = 44 × 60 / 7

>> T.S.A. = 2640 / 7

>> T.S.A. = 377

★ Therefore,

Answer:

Hope it helps you.......

Answer:

A

filler filler filler

Answer:

26-36

Step-by-step explanation:

If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.

Hope this helps! :)

Answer:

B

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] × [tex]\sqrt{\frac{c}{d} }[/tex] = [tex]\sqrt{\frac{ab}{cd} }[/tex] , then

[tex]\sqrt{\frac{3x}{2} }[/tex] × [tex]\sqrt{\frac{x}{6} }[/tex]

= [tex]\sqrt{\frac{3x^2}{12} }[/tex]

= [tex]\sqrt{\frac{3x^2}{3(4)} }[/tex]

= [tex]\sqrt{\frac{x^2}{4} }[/tex]

= [tex]\frac{\sqrt{x^2} }{\sqrt{4} }[/tex]

= [tex]\frac{x}{2}[/tex]