Consider a collection of envelopes consisting of 2 red envelopes, 2 blue envelopes, 2 green envelopes, and 3 yellow envelopes
1 answer:
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
<h3>What is a combination?</h3>It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
=
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
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<h2>Length of track is 168 meter</h2>
Step-by-step explanation:
Let l be the length of track.
Running speed = 4 m/s
Jogging speed = 2 m/s
Total time taken = 2 minutes 6 seconds. = 126 seconds
That is
Length of track is 168 meter
The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
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