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oksano4ka [1.4K]
3 years ago
14

According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi

thin two standard deviations around the mean.
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

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Answer:

B = 17.4°

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c=43.7

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3 years ago
Multiply: (2x + 5)(3x + 2)<br><br> Simplify and write your answer in standard form
RideAnS [48]

Answer:

Hey,

\rm \: =6x^2+19x+10

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1 year ago
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8/12 is left
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One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate of 2 cm/s. if the area of the
LenKa [72]
Use the attached figure to guide yourself through the explanation. In the figure:
a=21cm, b=36cm, \widehat{C}=\frac{\pi}{6}.
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Also remmeber that the area of a triangle is:
A=\frac{Base\times Height}{2}
The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:
A=\frac{1}{2}ab\cos(\widehat{C})\implies2A=ab\cos(\widehat{C})
Now taking the derivative of the area 2A with respect to t we have:
2\frac{dA}{dt}=b\cos(\widehat{C})\frac{da}{dt}+a\cos(\widehat{C})\frac{db}{dt}-ab\sin(\widehat{C})\frac{d\widehat{C}}{dt}

Replacing with the right values:
\frac{dA}{dt}=0\\&#10;\\&#10;\cos({\widehat{C}})=\frac{\sqrt{3}}{2}\\ \\&#10;\sin({\widehat{C}})=\frac{1}{2}\\ \\&#10;&#10;
yields:
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5 0
3 years ago
Can i have some help :
Schach [20]

Answer:

b<11=board is shorter then

b>11=more then 11 books

b<12=fewer then 12

b>12=taller then 12

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