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Elena L [17]
3 years ago
13

In a normal distribution what percent of values fall within one standard deviation of the mean?

Mathematics
2 answers:
dexar [7]3 years ago
8 0
Roughly 68% of the distribution is between z = -1 and z = +1, ie within 1 standard deviation of the mean. This is from the 68-95-99.7 rule or better known as the Empirical Rule. 

The final answer is choice D) 68.2%
Ivenika [448]3 years ago
5 0

if a normal distribution, what percentage of the data falls within 2 standard deviation of the mean.... c. 95% apex..

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chase bought a large bag of dog food for his dog. The bag contains 20 1/4 pounds and max eats 3/4 pound each day. how many days
inna [77]

Answer:

27 days

Step-by-step explanation:

20 \frac{1}{4} ÷ \frac{3}{4} = 27

7 0
3 years ago
Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2
Nimfa-mama [501]

Option C: 384 \ in^2 is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

S A=b h+(s 1+s 2+s 3) H

where b is the base of the triangle,

h is the height of the triangle,

s1,s2,s3 are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values b=16 , h=6 , s1=16 , s2=10 , s3=10 and H=8 in the formula, we get,

SA=16(6)+(16+10+10)(8)

Simplifying, we get,

SA=96+(36)(8)

Multiplying the term, we get,

SA=96+288

Adding the terms, we have,

SA=384 \ in^2

Thus, the surface area of the prism is 384 \ in^2

Hence, Option C is the correct answer.

6 0
3 years ago
Need help on 25. Please show your work
Alexxx [7]
Base B (aka p) is equivalent to 18
p=18

3 0
3 years ago
Jon earned $38,000 last year. He paid $6,840 towards entertainment. What percent of his earnings did Jon pay in entertainment ex
anastassius [24]
Take 38,000 minus 6,840 and then you got your answer 
7 0
3 years ago
Read 2 more answers
The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
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