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Mathematics
07.02.2020 15:46
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A diamond can be classified as either gem dash quality or industrial dash grade.

A diamond can be classified as either gem dash quality or industrial dash grade. Suppose that 89% of diamonds are classified as industrial dash grade.

(a) Two diamonds are chosen at random. What is the probability that both diamonds are industrial dash grade?
(b) Five diamonds are chosen at random. What is the probability that all five diamonds are industrial dash grade?
(c) What is the probability that at least one of five randomly selected diamonds is gem dash quality? Would it be unusual that at least one of five randomly selected diamonds is gem dash quality?

Would it be unusual that at least one of five randomly selected diamonds is gem dash qualitygem-quality?
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rocio5649
rocio5649
4,4(81 marks)

146.6 grams

Step-by-step explanation:

We have been given an element with Mass 630 grams decays by 18.8% per minute.

We will use exponential decay function to solve our given problem.

y=a\cdot (1-r)^x, where,

y = Final amount,

a = Initial amount,

r = Rate of decay in decimal form,

x = Time.

18.8\%=\frac{18.8}{100}=0.188

Substitute the given values:

y=630\cdot (1-0.188)^7

y=630\cdot (0.812)^7

y=630\cdot 0.232751347

y=146.633349

y\approx 146.6

Therefore, 146.6 grams of the element is remaining after 7 minutes.

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