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gavmur [86]
3 years ago
15

What is the answer to the picture

Mathematics
1 answer:
laiz [17]3 years ago
5 0
The answer would be 87%
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Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
How do you find m ∠ A ? (A=2x + 21)<br><br><br>A. 23°<br><br>B. 45°<br><br>C. 30°<br><br>D. 67°
yawa3891 [41]

Answer: Its 45*

Step-by-step explanation:

3 0
3 years ago
A lady walks into a store and steals $100 from the register without the owners knowledge. She comes back 5 minutes later and buy
Natali5045456 [20]

Answer:

$100

Step-by-step explanation:

she bought food using that money, 70$ worth of it plus she still has 30

7 0
3 years ago
Read 2 more answers
Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of
mihalych1998 [28]

Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

between  12  m/sec and  15 m/sec   the minimum common multiple  is 300 ( 300 is the smaller number that accept 12 and 15 as factors         12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point

3 0
2 years ago
What is the value of y when x equals 4 in the equation -3x+9y=-57?
olya-2409 [2.1K]
So what you would do is put in the 4 where ever you see an x. so it would look like -3(4)+9y=-57 then you solve for y. and the answer is -5. Make sense?

8 0
3 years ago
Read 2 more answers
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