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Rus_ich [418]
3 years ago
10

A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polyg

on at the base of the prism must have is
.
Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer:

idk but the answer is NOT 4

Step-by-step explanation:

Zanzabum3 years ago
6 0
The answer is 4. Obviously, 5 would work if you just slice across the prism, and there's no way you can have a prism with a 2-sided base.It must be then less than 5, either 3 or 4. 5 sides is not also possible upon drawing. I can get a rectangular prism to have a 5-sided cross section if you cut near one corner of the base and then exit along the opposite edge.

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an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor
Ira Lisetskai [31]

Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

--------------------------------

We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

<u />

25th percentile:

  • X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = -0.675(2.8)

X = 6.91

75th percentile:

  • X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = 0.675(2.8)

X = 10.69

The IQR is:

IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

  • The diameter is <u>1.5IQR above the 75th percentile</u>, thus:

10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

A similar problem is given at brainly.com/question/15683591

3 0
2 years ago
PLEASE HURRY. <br> 24. Factor completely<br> (1 Point<br> 14x^3 – 16x^2 + 21x – 24
Inessa05 [86]

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

7 0
3 years ago
Please help with this​
ycow [4]
Eg is half the length of ac
7 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP GIVING BRAINLIEST
lys-0071 [83]

Answer:

statement

m<abc = m<ghl

reason

transitive property

Step-by-step explanation:

7 0
2 years ago
PLZ HELP ASAP ANGLE BISECTOR THEOREM
ycow [4]
Angle bisector theorem:
CD/DB=AC/AB
REeplacing the known values:
CD/4=5.6/5.1
Solving for CD. Multiplying both sides of the equation by 4:
4(CD/4)=4(5.6/5.1)
CD=22.4/5.1
CD=4.392156863
Rounded to one decimal place:
CD=4.4

Answer: The length of CD is 4.4

7 0
3 years ago
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