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3 years ago

Please answer both A. and B. Thank you in advance!!!

Mathematics

1 answer:

Nitella [24]3 years ago

8 0

Answer:

175 ft

Step-by-step explanation:

From the question,

(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.

I.e, ΔABC is equiangular to ΔEDC. (AAA).

(b) From the diagram.

for similar angle, ratio of corresponding sides are equal

100/d = 4x/7x

100/d = 4/7

where d = distance across the river

solve for d

d = (100×7)/4

d = 175 ft

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$P(r'') = \frac{n_k - 1}{n_t -1}$

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=> $P(r'') = \frac{ 7 }{14}$

The probability that the first two balls is not red is mathematically represented as

$P(R) = P(r') * P(r'')$

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=> $P(R) = \frac{ 8 }{30}$

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$P(r) = \frac{n_r}{ n_t -2}$ (the subtraction is because the marbles where selected without replacement )

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=> $P(r) = \frac{7}{ 13}$

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

$P(K) = P(R) * P(r)$

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