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kompoz [17]
2 years ago
12

A rectangle has side measurements of 12 units and 8 units.

Mathematics
1 answer:
marusya05 [52]2 years ago
7 0
D=√w^2+l^2
d=√8^2+12^2
d=√64+144
d≈14.4
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Two litters of a particular rodent species have been born; first with two brownhaired and one gray-haired (litter 1) and the oth
maks197457 [2]

Answer:

The probability that the animal chosen is brown-haired is 0.6333.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> : a brown-haired rodent

<em>B</em> : Litter 1

The information provided is:

P (A|B) =\frac{2}{3}\\\\P(A|B^{c})=\frac{3}{5}

The probability of selecting any of the two litters is equal, i.e.

P(B)=P(B^{c})=\frac{1}{2}

According to the law of total probability:

P(X)=P(X|Y_{1})P(Y_{1})+P(X|Y_{2})P(Y_{2})+...+P(X|Y_{n})P(Y_{n})

Compute the total probability of event <em>A</em> as follows:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

         =[\frac{2}{3}\times\frac{1}{2}]+[\frac{3}{5}\times\frac{1}{2}]\\\\=\frac{1}{3}+\frac{3}{10}\\\\=\frac{10+9}{30}\\\\=\frac{19}{30}\\\\=0.6333

Thus, the probability that the animal chosen is brown-haired is 0.6333.

5 0
3 years ago
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