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emmasim [6.3K]
3 years ago
14

Fill in the blank. For data sets having a distribution that is approximately​ bell-shaped, _______ states that about​ 68% of all

data values fall within one standard deviation from the mean
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

Empirical Rule

Step-by-step explanation:

The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.

The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.

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I need help fast please!!
kaheart [24]

Solution set is: (7,\frac{13}{3})

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5

Let:

y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)

Putting value of y from eq(2) into eq(1)

\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7

So, value of x=7

Putting value of x into equation 1 to find the value of y:

y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}

So, value of y = \frac{13}{3}

Solution set is: (7,\frac{13}{3})

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

3 0
4 years ago
34.1 divided by what equals 22
allochka39001 [22]
I hope this helps you

3 0
3 years ago
Read 2 more answers
. Micro Office Products has issued 5,000 shares of cumulative preferred stock that will earn dividends at $2.38 per share; it ha
quester [9]
110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock

First find the total dividends of preferred stock
5,000×2.38=11,900


Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100

Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer

Hope it helps!
5 0
3 years ago
Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave​
Zarrin [17]

Answer:

2.82

Step-by-step explanation:

.15 x 18.80 = 2.82

8 0
3 years ago
What term describes a polygon that has no "dents" in it?
svetoff [14.1K]
A convex polygon
Hope this helps :)
3 0
4 years ago
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