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2 years ago

Find and interpret the mean absolute deviation of the data.

Mathematics

1 answer:

k0ka [10]2 years ago

7 0

Using it's concept, it is found that:

The mean absolute deviation is of 26.

It means that the values differ from the mean by an average of 26.

<h3>What is the mean absolute deviation of a data-set?</h3>

The mean of a data-set is given by the sum of all observations divided by the number of observations.

The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the data-set is: {101, 115, 124, 125, 173, 165, 170}.

Hence, the mean is:

$M = \frac{101 + 115 + 124 + 125 + 173 + 165 + 170}{7} = 139$

Then, the mean absolute deviation is:

$M_d = \frac{|101-139| + |115-139| + |124-139| + |125-139| + |173-139| + |165-139| + |170-139|}{7} = 26$

Hence:

The mean absolute deviation is of 26.

It means that the values differ from the mean by an average of 26.

You can learn more about mean absolute deviation at brainly.com/question/3250070

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A local boutique sells water bottles for a set price, plus an additional fee for each letter that customers would like engraved

lesantik [10]

Answer:

y = 0.35x + 18.99

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2 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

grigory [225]

<h2>Answer:</h2>

The answer is x = 2.

<h2>Step-by-step explanation:</h2>

* Scroll to the bottom for an explanation in list format :)

In this problem, our goal is to solve for x in order to identify said variable's value. To do this, we must isolate the variable x on one side, whilst the other side contains solely the value of x. The rules that we will be using for this problem are 'Line of Equality' and 'PEMDAS.' Line of Equality is a rule that states that what you do to one side of an inequality/equation, you must to do the other as well. PEMDAS is a mathematical acronym used as a tell-tale of sorts for order of operations - often OoO for inequalities such as this one. In PEMDAS, P stands for Parenthesis, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. You use each letter in order of the spelling, with the exception that you do Multiplication and Division by whichever comes first in the equation; the same goes for Addition and Subtraction. However, when solving this inequality, we won't have to focus on the complications of P, E, or M at all.

The (original) inequality this problem gives us is 14 + 3x = 2 + 9x. Our first step is to choose which side we will isolate x to, leaving the other one to be its value. I would personally recommend isolate whichever x value is greater, but either way works. This time around, I chose to isolate 9x.

Since I've decided to isolate x on the right side (2 + 9x), that means I have to eliminate any other x values on either side of the inequality. The only other x value is 3x. Due to + 3x being adding a positive 3x, we have to counteract it by eliminating it and changing its value to 0. In this case, we can counteract + 3x by subtracting 3x (aka - 3x). Remember, the Line of Equality rule means we have to do the same to either side; if we subtract 3x on one side, we also have to do so on the other. 14 + 3x - 3x = 2 + 9x - 3x. +3x - 3x = 0, or 0x. 9x - 3x = 6x. After combining like terms, the new inequality is 14 = 2 + 6x.

Now, I have to eliminate any numerical values, or regular numbers (which, in this case, would be numbers without a variable attached to them), on the right side, since that is the side I want to isolate x on. The only numerical value on the right side of my inequality is 2. This 2, or + 2, can be counteracted by subtracting 2, or - 2. Our rule causes us to subtract 2 from both sides. 14 - 2 = 2 - 2 + 6x. 14 - 2 = 12. 2 - 2 = 0. After combining like terms, the new inequality is 12 = 6x.

Now, I have to simplify x and make it singular. 1x and x are the same thing, so I must make 6x into x. 6x is the same thing as 6 * x. Therefore, since 6 * x is multiplication, I have to do the opposite to get the desired result. I should divide 6x by 6 to get 6. Due to the Line of Equality, I also have to divide 12 by 6. 12 ÷ 6 = 6x ÷ 6. 12 ÷ 6 = 2. 6x ÷ 6 = x. After combining like terms, the new inequality is 2 = x.

Lastly, mainly for a bonus step, we should flip the places of 2 and x. This is because, similarly to most problems, this question places x on the left side of the inequality. The 2 and x in 2 = x must switch places in order to properly finish this problem. Since this inequality uses an equal sign, the symbol will remain as an = when the inequality is flipped. However, it should be noted that when using symbols such as greater than (>) or less than (<), the sign will flip with the rest of the inequality. = is a symmetrical sign, which is why it will remain the same; it is the same equivalent symbol even when flipped. After we flip the inequality, the new equation becomes x = 2. Therefore, our answer is x = 2.

<h3>For those that want a list format of the procedure for this inequality's solving - here you go: </h3>

* Remember the 'Line of Equality' Rule: What you do on one side, on the other do the same.

14 + 3x = 2 + 9x

Subtract 3x from both sides.

14 + 3x - 3x = 2 + 9x - 3x

14 = 2 + 6x

Subtract 2 from both sides.

14 - 2 = (+)2 - 2 + 6x

12 = 6x

Divide both sides by 6.

12 ÷ 6 = 6x ÷ 6

2 = x

Flip the inequality. (The sign remains the same since it's the equal sign.)

x = 2

Therefore, our answer is x = 2.

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2 years ago

20/45 in simplest form

san4es73 [151]

20/45 would be 4/9 in simplest form. hope that helped

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3 years ago

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Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u

cestrela7 [59]

Answer:

The amount of nuclear fuel required is 1.24 kg.

Step-by-step explanation:

From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is

$E=m\cdot c^2$

where

'c' is the speed of light in free space

Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals

$E=1200\times 10^6\times 3600\times 24\times 365=3.8\times 10^{16}Joules$

Thus using the energy produced in the energy equivalence we get

$3.8\times 10^{16}=mass\times (3\times 10^{8})^2\\\\\therefore mass=\frac{3.8\times 10^{16}}{9\times 10^{16}}=0.422kg$

Now since the efficiency of conversion is 34% thus the fuel required equals

$mass_{required}=\frac{0.422}{0.34}=1.24kg$

8 0

3 years ago

PLEASE ANSWER ASAP!!! WHAT SHOULD 2.33 BE MULTIPLIED BY TO MAKE IT INTO A WHOLE NUMBRR??

mestny [16]

Answer:

2.331 = (2.33 × 100)(1 × 100) = 233100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 233100 is also equal to 233100 when expressed as a mixed number.

Step-by-step explanation:

or mutilpy by 100

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2 years ago

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