A youth basketball team has 7 girls and 6 boys. Five players play on the court at a time.
2 answers:
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Answer:
Step-by-step explanation:
The total number of permutations of boys and girls on the team are:
¹⁶P₅*¹³P₄
1.
Bob will be one of the fixed boys to be picked. Hence, actually 4 boys are to be picked from 15. The permutations of girls being picked remains the same.
Probability = Permutations with Bob as one of the boys / Total permutations
Probability = (¹⁵P₄*¹³P₄) / (¹⁶P₅*¹³P₄) = ¹⁵P₄ / ¹⁶P₅
Probability = = 15! / 16! = 1/16
2.
Now, Bob is one of the fixed boys and Jane is one of the fixed girls. Hence, actually 4 boys are to be picked from 15 and 3 girls are to be picked from 12.
Probability = Permutations with bob as one of the boys and jane as one of the girls / Total permutations
Probability = (¹⁵P₄*¹²P₃) / (¹⁶P₅*¹³P₄) = (1/16)*(1/13) = 1/208
3.
Now, the probability that at least Jane or Bob will be picked has been asked. This probability is a combination of three probabilities:
Probability = (Probability that only Bob will be picked) + (Probability that only Jane will be picked) + (Probability that both will be picked)
Probability = 1/16 + 1/13 + 1/208 = 0.123
4.
Total teams possible = ¹⁶P₅*¹³P₄ = 8994585600 teams are possible
well, we know what S(x) is, since it's given, so, after , is simply a matter of x = 2,4,6,8,10, so
well, the tell-tale for Growth or Decay is the parenthesized term, namely the "rate of change", if it's greater than 1 is Growth, if it's less than 1 is Decay, in this case is greater than 1, is 1.015, so well, you know.
from 4 years to 10 years, how much more in interest?
well, first off let's take off the Principal of 1250 to see how much is in interest, hmmm for 4 years that'll be <u>336.23</u> and for 10 years that'll be <u>1017.52</u>, so their difference is about 681.29.
what does the S-intercept mean? Check the picture below.
when the graph touches the y-axis or S-axis if you wish, the time is 0 and the amount is, well, you can see it there.
