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andrew-mc [135]
2 years ago
6

Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.

0 C)39.1 D) 39.2

Mathematics
2 answers:
Alex17521 [72]2 years ago
6 0

Answer:

The average / mean is 39.1

Step-by-step explanation:

Numbers Given :-<u> </u> 23 , 33 , 33 , 27 , 25 , 68 , 27 , 44 , 72

What to do ?

  • Find the average / mean

Solution :-

What we know is ,

<u>Formula of average</u> :- Sum of observation / No. of observation

  • Total no. of observation :- 9

Lets do it , by putting the values we get :-

\frac{23 + 33 + 33  + 27  + 25 + 68 + 27 + 44 + 72}{9}

= 39.1

jenyasd209 [6]2 years ago
3 0
<h3><u>Given Numbers:-</u></h3>
  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

<h3><u>To Find:-</u></h3>
  • average of this set of numbers

<h3><u>Solution</u>:-</h3>

\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}

\longrightarrow Here, no of observation are 9

Now,

\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}

\longrightarrowThe Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

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WHAT IS THE MEAN DEVIATION MAD OF THE DATA SET? { 2, 5, 6, 12, 15}
Gelneren [198K]

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Step-by-step explanation:

Add them and then divide by the number of numbers given

3 0
3 years ago
John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

  • Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0
2 years ago
Pls just answer if you know, don't guess or spam. Thanks
Andreyy89

Answer:

Step-by-step explanation:

If you work through it as if you were doing polynomial long division you just have to work through the first step and then compare it to the answer.  In polynomial long division you always divide the leading term of the dividend and divide it by the leading term of the divisor.  In this case 24x^2 /ax = -8x.  So this is a pretty simple calculation to find what a is.  the xs cancel out so you get 24x/a = -8x and from here you can divide both sides by x, multiply both sides by a and then divide both sides by -8.

24x/a = -8

24/a = -8

24 = -8a

-3 = a

Now just follow through with the whole long division to make sure, but using this method should get you the right answer.  

4 0
3 years ago
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