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kirill [66]
3 years ago
11

Find the area of a regular decagon with a side length of 14 and an apothem of 25.

Mathematics
1 answer:
andriy [413]3 years ago
4 0
Area = 10 * 1/2* * 14 * 25  (note decagon has 10 sides)


        =   1750 
You might be interested in
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
Trick question<br> whats 50 divided by half plus 10
hoa [83]
50:\frac{1}{2}+10=50\cdot\frac{2}{1}+10=50\cdot2+10=100+10=\boxed{110}
5 0
3 years ago
3(6x+3) - (8-x) simplify
sergeinik [125]

Answer: <em>10 + 9 </em>

Step-by-step explanation:

<em>1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)</em>

<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>

<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8  = 18 + 9 - 8 </em>

4. Combine like terms: 18 + 9 - 8 = 10 + 9

<em>⋅</em>

<em />

                                         

4 0
3 years ago
fancy goldfish x cost $3 each and common goldfish y cost $1 Graph tje function y=20-3x determine how many of each type of goldfi
NemiM [27]
6 Fancy, and 20 Common
4 0
3 years ago
So if I buy something for $36.97 and the and buy something else for $9.48 what will be the Total all Together?​
Paul [167]

Answer:

36.97+9.48

=$46.45

Step-by-step explanation:

hope it helps

5 0
3 years ago
Read 2 more answers
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