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UNO [17]
3 years ago
6

A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0
The answer to the problem wherein a computer simulation tossed a 10-faced die 5 times and you have to compute for the possible outcomes is simple. The answer is <span>18,144, 000 possible outcomes (if it's a combination). I got this through simply getting the 10! (3,628,800) and multiplying it 5.
 
However, if order is important (permutation), the number of possible outcomes is is </span>30240. 
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What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?
iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

 triangles

- The slant height of it = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}, where

  b is the length of its base and h is the perpendicular height

- Its lateral area = \frac{1}{2}.p.l, p is the perimeter of the base

 and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}

∴ l = The slant height of it = \sqrt{(\frac{1}{2}.24)^{2}+5^{2}}

∴ l = \sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = \frac{1}{2}.p.l

∴ The lateral area = \frac{1}{2}.(96).(13)

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

4 0
3 years ago
Plz I need the answer to number 2 rewrite in on standard form with all steps I need this ASAP somebody answer!!!!!!!!!! I BEG U
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Answer:

8 -7/16 y+4/5 p - 3/8 y

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collect like terms

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rewrite fraction

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so the whole equation would turn into

8-13/16y+4/5p

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(-19, -12), (-9, -15)
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Answer:

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Which is an example of a substitution mutation?
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Answer:

1. Such a substitution could: change a codon to one that encodes a different amino acid and cause a small change in the protein produced. For example, sickle cell anemia is caused by a substitution in the beta-hemoglobin gene, which alters a single amino acid in the protein produced.

2. A - Mutations are sometimes helpful, sometimes harmful, and sometimes neutral

Step-by-step explanation:

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