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aniked [119]
2 years ago
8

kmf Of the 40 specimens of bacteria in a dish,3 specimens have a certain trait. If 5 specimens are to be selected from the dish

at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?
Biology
1 answer:
almond37 [142]2 years ago
7 0

Answer:

\frac{C^{3}_1* C^{47}_4}{C^{40}_5}

Explanation:

It is given that out of 40, total 5 specimen are selected.

Thus, the number of ways in which 5 specimens are selected from a given sample of 40 is given by

C^{40}_{5}\\

Number of specimen with certain trait is equal to 3.

Now, total 5 specimen are selected out of which one specimen is selected from the set of specimen that has certain trait (i.e out of 3) while the remaining four specimen will be selected from the rest 40-3=37 specimen.

Thus, the probability of choosing only 1 of the 5 specimens with the trait is equal to

\frac{C^{3}_1* C^{37}_4}{C^{40}_5}

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See the attachment for proper understanding what actually happened in cell cycle check points.

4 0
2 years ago
In a population of grasshoppers, the color green (G) is completely dominant over the color brown (g). If 23% of the population i
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The answer is 49.92%

Let's use the <span>Hardy-Weinberg principle:
p + q = 1
p</span>² + 2pq + q² = 1
<span>
where:
p - the frequency of dominant allele G
q - </span>the frequency of recessive allele g
p² - the frequency of homozygous dominant individuals GG with colour green
2pq - the frequency of heterozygous individuals Gg with colour green
p² - the frequency of homozygous recessive individuals gg with color brown

23% of the population is brown: p² = 23% = 0.23
p = √(p²) = √0.23 = 0.48

p = 0.48
p + q = 1
0.48 + q = 1
q = 1 - 0.48 = 0.52

<span>The percentage of the population that is expected to be heterozygous is 2pq:
2pq = 2 * p * q = 2 * 0.48 * 0.52 = 0.4992 = 49.92%</span>
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D. Nine times as much.
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C is incorrect

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<h3><u>Explanation</u>:</h3>

Sir,

I am very sad to inform you that the town of Hariharanpur is suffering from continuous erosion for the last 3 years. Even after having proper knowledge about this fact, you being the mayor, are not taking any charge of this situation.

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