How many groups of 1/3 are in 4 (draw a tape diagram)

Similarly, Q1 is obtained as the median of the lower half as (7+1)/2th = 4th observation i.e 60.

Similarly, Q3 is obtained for the upper half as 79 (4th upper half)

IQR (Interquartile Range) = Q3 - Q1 = 79 - 60 = 19

The interquartile range is a gauge for where a data set's "middle fifty" lies. An interquartile range (IQR) measures where most of the values lay, whereas a range measures where a set's start and finish are. For this reason, it is preferable when reporting things like academic performance or SAT scores over many other measures of spread.

The interquartile range IQR is 19

In ascending order we have: 48,51,57,60,63,65,69,71,72,73,75,79,85,88,97

Also, we get sample size (n) = 15 (odd)

So, Median = Q2 = (n+1)/2th observation

Median = (15+1)/2th term = 8th observation

Median = Q2 = 71

The formula for the interquartile range is the first quartile less the third quartile:

IQR = Q3 - Q1.

To know more about Interquartile Range, visit:

https://brainly.com/question/4135956

#SPJ4

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

What is the circle?

A circle is a round-shaped figure that has no corners or edges.

In geometry, a circle can be defined as a closed, two-dimensional curved shape.

So, the calculation is:-

Now, Multiplying by [tex]2[/tex]

[tex]2 * 2 = 4[/tex]

[tex]4 * 2 = 8[/tex]

[tex]8 * 2 = 16[/tex]

[tex]16 * 2 = 32[/tex]

[tex]32 * 2 = 64[/tex]

[tex]64 * 2 = 128[/tex]

[tex]128 * 2 = 256[/tex]

[tex]256 * 2 = 512[/tex]

[tex]512 * 2 = 1,024[/tex]

[tex]1,024 * 2 = 2,048[/tex]

[tex]2,048 * 2 = 4,096[/tex]

[tex]4,096 * 2 = 8,192[/tex]

[tex]8,192 * 2 = 16,384[/tex]

[tex]16,384 * 2 = 32,768[/tex]

[tex]32,768 * 2 = 65,536[/tex]

[tex]65,536 * 2 = 131,072[/tex]

[tex]131,072 * 2 = 262,144[/tex]

[tex]262,144 * 2 = 524,288[/tex]

[tex]524,288 * 2 = 1,048,576[/tex]

[tex]1,048,576 * 2 = 2,097,152[/tex]

[tex]2,097,152 * 2 = 4,194,304[/tex]

[tex]4,194,304 * 2 = 8,388,608[/tex]

[tex]8,388,608 * 2 = 16,777,216[/tex]

[tex]16,777,216 * 2 = 33,554,432[/tex]

[tex]33,554,432 * 2 = 67,108,864[/tex]

[tex]67,108,864*2 = 134,217,728[/tex]

[tex]134,217,728* 2 = 268,435,456[/tex]

[tex]268,435,456 * 2 = 536,870,912[/tex]

[tex]536,870,912* 2 = 1,073,741,824[/tex]

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

To know more about the circle

https://brainly.com/question/266951

#SPJ2

The equation to model the maximum and minimum scores is given by |x - 76| = 5

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the student score. All students scored within 5 points of the average, hence:

|x - 76| = 5

The equation to model the maximum and minimum scores is given by |x - 76| = 5

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .

There of  288 different kinds of  lunch combination .

What is combination ?

The Munchery Restaurant advertises that you can have a different lunch combination every day of the year.

types of soups  =  12

types of sandwich = 4

types of bread = 4

find the number of combinations we multiply all the possible types we have

Number of combinations = 12 × 6 ×  4  =  288

There of  288 different kinds of  lunch combination .

Learn more about combination

brainly.com/question/24108773

#SPJ9

Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

1.1512, 2.1, 2.106, 2.16

Answer:

1.1512, 2.1, 2.106, 2.16

Step-by-step explanation:

1.1512 is the lowest cause it starts with 1

then 2.1 cause it has no more numbers to make it larger than the last two

then 2.106 because there is a 0 separating the 1 and 6 which makes the number smaller

which leaves you with 2.16 as the lasrgest

Answer:

Substitution property.

Step-by-step explanation:

The substitution property is just like saying, "If a variable, b, equals c, then b will be substituted for c, and it goes for c being substituted as b, too."

➲ Hope this helps.

Answer: Total cost for the two services of hours = $6.

Step-by-step explanation:

Given data,

Nate is looking for a repair service for general household maintenance.

First service charges = $75

First service charge per hour = $30 per hour

Another service charges = $15

Another service charge per hour = $40 per hour

Total cost of hours of service is = x

So,

We can write,

                          75 + 30x = 15 + 40x

Rearrange variables to the left side of the equation,

                          30x - 40x = 15 - 75

Combine like terms,

                                  -10x = 15 - 75

Calculate the sum or difference,

                                    -10x = -60

Divide both sides of the equation by the coefficient variable,

                                      x = -60/-10

Determine the sign for multiplication or division,

                                      x = 60/10

Cross out the common factor,

                                       x = 6

Therefore,

Total cost for the two services of hours = $6.

Learn more about event correlation here: brainly.com/question/625312

#SPJ9

Based on the definition of supplementary angles:

x = 5

The measure of angle 6 = 30°

If two angles are supplementary, when added together, their sum will equal 180 degrees.

We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.

Hence, we would have the following equation:

m<5 + m<6 = 180

Substitute

40x - 50 + 5x + 5 = 180

Add like terms

45x - 45 = 180

45x = 180 + 45

45x = 225

45x/45 = 225/45

x = 5

The measure of angle 6 = 5x + 5 = 5(5) + 5

The measure of angle 6 = 30°

Learn more about supplementary angles on:

https://brainly.com/question/8992900

#SPJ1

Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]

In the given statement is:

The greenhouse at the right is a regular octagonal pyramid with a height of 5 feet. The base has side lengths of 2 feet.

To find the Volume of the greenhouse

We know that the :

Area of Regular Octagonal Pyramid is [tex]2a^{2}(1+\sqrt{2} )[/tex]

a = side of an octagonal

and, a= 2 feet

Let's find Area of Octagonal :

Now, putting the value of a in above formula:

[tex]2(2^{2} )(1+\sqrt{2} )\\\\8(1+\sqrt{2} )\\\\=19.31 feet^{2}[/tex]

Now, Volume of the green house

Volume of a regular Octagon pyramid is = Area of an Octagon x height

Height = 5 feet

Now,   Volume of a regular Octagon pyramid is = 19.31×5

Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]

Learn more about Volume and Area of an Octagon at:

https://brainly.com/question/15295095

#SPJ1

The rate of change will be 0.074 grams per year.

The change in hydrocarbon will be:

= 3.4 - 0.8

= 2.6

The number of years will be:

= 2007 - 1972

= 35

Therefore, the rate will be:

= Change in hydrocarbon / Years

= 2.6 / 35

= 0.074 grams per year.

Learn more about rates on:

brainly.com/question/25537936

#SPJ1

No, there is only one outlier at 58 minutes.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

To learn more about outliers from given link

https://brainly.com/question/3631910

#SPJ4

Answer:

1. Not Linear

2. Linear

3. Linear

4. Linear

Step-by-step explanation:

Linear means it follows the form y = mx + b

1. The x value increases by 2 each time, but the y value doubles each time. They are increasing at different rates, so they are not linear.

2. The x value is increasing by 3 each time, and the y value is deceasing by 1 each time. Slope (m) of this line would be -1/3

3. The x value is increasing by 4 each time, the y value is increasing by 3 each time. Slope (m) of this line would be 4/3

4. The x value is increasing by 1 each time, the y value is constantly -3. This means that the line is a horizontal line, which is linear with a slope of 0. So the equation of this line would be y = 0x -3 ---->  y = -3

Answer:

[tex]2 + 2 + 2 - 2 = 29[/tex]

The exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × [tex]10^5[/tex]

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

Learn more about the powers of 10 here:

https://brainly.com/question/13303295

#SPJ4

The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.

The equation given is [tex]4x^{1/3}[/tex]- x = 0

We need to solve it stepwise.

The first step will be to to move -x to RHS.

[tex]4x^{1/3}[/tex]- x = 0

or

[tex]4x^{1/3}[/tex] = x

The second step is to solve to get the values of x.

4x = x³

4x - x³ = 0

x (4 - x²) = 0

So , this will give us two equations which are ,

x = 0

and

4 - x² = 0

or

x² = 4

x = ± 2

So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.

Thus , the solutions will be x = -2, 0, 2.

Learn more about algebra here ;

brainly.com/question/26479183

#SPJ1

The built-in data type that stores only whole numbers is int data type

Built-in data types are the data  types used to declare and store the variables in the program, They are also known as primary data types

Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.

Here,

Here the condition is a built-in data type stores only whole numbers

So, the int data types satisfy these conditions

Hence, the built-in data type that stores only whole numbers is int data type

Learn more about about int data type here

brainly.com/question/19905770

#SPJ4

Answer:

answer is, 1.96, 32.76%6=1.96

Answer:

Step-by-step explanation:

$32.74 x 6% = $34.70

$1.96 for specifics, rounds to $2.00

Answer:

24

Step-by-step explanation:

Let x be shirts.

Write an equation.

13x=321

Divide 13 from both sides.

x≈24.69

So, the soccer team can only buy 24 shirts, because it cannot go over the budget.

Hope this helps!

Please mark as brainliest if correct!

Check the picture below, which is just a template for transformations.

so hmmm if we grab f(x) and move it downwards by 8 units, that means that the value for "D" gets a -8 added to it, so let's do that.

[tex]f(x)=3x^2+1\qquad \implies f(x)=\stackrel{A}{3}(\stackrel{B}{1}x+\stackrel{C}{0})^2+\stackrel{D}{1} \\\\\\ g(x)=3(1x+0)^2+1+(-8)\implies {\LARGE \begin{array}{llll} g(x)=3x^2-7 \end{array}}[/tex]

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

To depict a series in a succinct format, summation or sigma symbols can be employed. The sum is denoted by the Greek capital letter ∑, The series 4+8+12+16+20+24 has the formula 6∑n=14n. As n increases from 1 to 6, the statement is read as the total of 4n.

Summation notation (also known as sigma notation) allows us to express a large sum in a single phrase.

The mean in mathematics and statistics is the average of a set of values. There are several methods for computing the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.

 x₁       x₂     x₃     x₄      x₅      x₆      x₇     x₈      x₉     x₁₀     x₁₁     x₁₂

$40   $42  $40  $38  $48   $50  $58  $62  $56  $46   $44   $44

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

  [tex]\bar{x}[/tex] = (40+42+40+38+48+50+58+62+56+46+44+44)/12

     = 568/12

     = 47

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

To know more about sigma notations visit:

https://brainly.com/question/23653677

#SPJ9

Answer:

5.44

Step-by-step explanation:

Answer:

243m²

Step-by-step explanation:

work out 18x18=324

work out 9x9=81.

324-81= 243

The final answer for this is $36.95.

Now, if we se the explanation

We have, the cost for pizza and pasta for four people is $24.99

and,

the cost of drink for single person is $2.99

Now, if we calculate the cost of drinks for all the four person,

it would be $2.99 × 4 = $11.96.

It is the cost of drinks only for four people.

we have already given the cost of eat I.e. $24.99

total cost for four people to eat and drink is

= $11.96 + $24.99

=  $36.95

Learn more about costs from here :

https://brainly.com/question/13910351

#SPJ9

Answer:

class:11-20

21-30

31-40

.

.

.

81-90

Step-by-step explanation:

According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.

In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.

What are matched pair experiments.?

Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.

To learn more about the matched pair experiments  from the given link:

https://brainly.com/question/16448112

#SPJ4

Answer: 120

Step-by-step explanation:

V=  {(4+2)² x 10}/3 = 120