evaluate 14c 3d\dfrac14c 3d41​c 3dstart fraction, 1, divided by, 4, end fraction, c, plus, 3, d when c

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?

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Answer:

243m²

Step-by-step explanation:

work out 18x18=324

work out 9x9=81.

324-81= 243

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 .

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

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The length of the altitude of the equilateral triangle ABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

Equilateral Triangle is defined as the triangle with all the sides equal and all the angles = 60 deg.

Altitude of a Triangle can be defined as the perpendicular drawn from the vertex of a triangle to the opposite side.

According to the question

In the figure given below

In ΔADC

Since ΔADC is a right angle triangle we can apply Pythagoras Theorem.

Let the sides of the equilateral triangle be "a". and "h" be the altitude.

Since the altitude is of equilateral triangle it divides the base i.e. DC=a/2

[tex](AC)^{2} =(AD)^{2}+(DC)^{2}[/tex]

[tex]a^{2} =h^{2}+(\frac{a}{2})^{2}\\ \\ h^{2}=\frac{4a^{2}-a^{2}}{4} \\ \\ h=\sqrt{3} *\frac{1}{2} *a[/tex]

Substituting the value of a=13 we get

Altitude [tex]h=\frac{13\sqrt{3} }{2}[/tex]

Therefore , The length of the altitude of the equilateral ΔABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

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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

The standard error on the mean of these numbers is 1.08

For given question,

suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2

Mean of these numbers is:

[tex]\bar x=\frac{ 12.4+7.8+10.2}{3}\\\\ \bar x=10.13[/tex]

So the standard deviation would be,

[tex]\sigma=\sqrt{\frac{(12.4-10.13)^2+(7.8-10.13)^2+(10.2-10.13)^2}{3} }\\\\\sigma=1.88[/tex]

Now we find  the standard error on the mean of these numbers.

[tex]\sigma_M=\frac{\sigma}{\sqrt{N} }[/tex]

where, [tex]\sigma_M[/tex] = standard error of the mean

σ = the standard deviation of the original distribution

N = the sample size

[tex]\sigma_M=\frac{1.88}{\sqrt{3} }\\\\\sigma_M=1.08[/tex]

Therefore, the standard error on the mean of these numbers is 1.08

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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]

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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.

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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

Answer:

class:11-20

21-30

31-40

.

.

.

81-90

Step-by-step explanation:

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

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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

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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].

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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."

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Answer: 3/10 times 5 equals 15/50

Step-by-step explanation: First you do 3 times 5 which equals 15 and then 10 times 5 to get 50, which together make 15/50 and to make sure it's right check it by finding the greatest common factor they both have.

Answer:

5/5

Step-by-step explanation:

3 will enter 15, 5 times

n 10 will enter 50, 5 times

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]

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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]

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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

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Answer: 120

Step-by-step explanation:

V=  {(4+2)² x 10}/3 = 120

Answer:

5.44

Step-by-step explanation:

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

By assuming that one of the two integers is even we will reach an absurd, and in that way, prove the given statement.

Remember that an odd integer number is written as:

A = (2n + 1)

While an even number would be written as:

B = 2n

Where n is a random integer.

Then if x times y is an odd integer we can write:

x*y = (2n + 1)

Where n, m ∈ Z.

Where Z is the set of integer numbers.

Now, let's do find an absurd. Let's suppose that one of the two numbers is even, then we can write:

x = 2m

And y can be even or odd, it does not matter, but it is an integer.

Replacing that we get:

x*y = (2m)*y

We can rewrite that as:

(2m)*y = 2*(m*y)

We know that integer numbers are closed under the product, and here m and y are integers, then m*y is also an integer.

Thus, 2*(m*y) is 2 times an integer, then that is an even number, which is absurd because we know that it should be odd. So, if at least one of the two integers is even, then the product will also be even.

Then if the product is odd, neither of the integers can be even, then we conclude that both of the integers are odd integers.

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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]

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.

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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

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.

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