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2 years ago

The mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5

Mathematics

2 answers:

Colt1911 [192]2 years ago

6 0

Answer: No, the mean of the data set is 4

(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8

= 32/8

Softa [21]2 years ago

4 0

Step-by-step explanation:

Add all to get 32

Divide by the number of items which is 8

answer =4

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

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2 years ago

What is the equation of the line that passes through the points (-4,1) and (4-1)

Nitella [24]

Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

$m = \frac{y2-y1}{x2-x1}$

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

$m = \frac{(-1)-1}{4-(-4)}$

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

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2 years ago

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Alekssandra [29.7K]

Answer:

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

9x - 5 =12<br>what is x?

Ainat [17]

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Step-by-step explanation: Lets solve for x.

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2 years ago

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