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fenix001 [56]
2 years ago
11

How many sides does a polygon have if each of its interior angle is 120

Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0
There are six sides
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Chris has an account that pays 3.64% simple interest per year and wants to accumulate $3,080 in interest from it over the next 1
Semenov [28]

Answer:

Step-by-step explanation: A=p(1±r%)>t

A=3,080(1+3.64%)>12

=4730. 200

6 0
2 years ago
In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability th
MrRa [10]

Answer:

a) 0.984

b) 20 people

Step-by-step explanation:

a)

If The probability that a person carries the gene is 0.1, then in a sample of 20 people, 2 should carry the gene.

Now, we want to know how many samples there are with this property.

Since we have 20 elements where 18 are alike (do not carry the gene) and 2 are alike (carry the gene), we have to compute the number of permutations of 20 elements in which 18 are alike and 2 are alike. This number is

\frac{20!}{18!2!}=190

In this 190 20-tuples there are only 3 where the 2 carriers of the gene are in the first 3 places, namely

(1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

where 1=carries the gene, 0=does not carry the gene.

So there are 190-3 = 187 elements in which the first 3 elements have no 2 carriers, hence the probability that 4 or more people will have to be tested until 2 of them with the gene are detected is 187/190 = 0.984 (98.4%) rounded to three decimal places.

b)

Given that the probability that a person carries the gene is 0.1, then in a sample of 20 people, 20*0.1 = 2 should carry the gene.

4 0
3 years ago
Can you Graph the image A(4,-1) after a translation 7 units up?
rusak2 [61]
(4,6) is the correct answer
4 0
2 years ago
For the graph 2x - 3y - 7 = 0 <br> determine the coordinates of the axes intercepts.
Sliva [168]

Answer:

X intercept: (7/2, 0)

Y intercept: (0, -7/3)

Step-by-step explanation: Add 7 to both sides. We get 2x-3y=7

Now, plug in zero for y, and we are left with 2x = 7 (the y cancels.) Dividing by 2 leaves us 7/2, and (0, 7/2)

Now starting back to 2x-3y=7

Plug in zero for x, and we are legt with -3y = 7 (the x cancels.) Divide by -3, and we get -7/3 and (-7/3, 0)

8 0
2 years ago
What is the greatest acceptable length for a package that has a square base measuring 12 in. by 12 in.
geniusboy [140]
Ahh I’m not smart so imma just guess not saying it’s right . 24 in?
6 0
2 years ago
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