Evaluate f(7) * f (x) = –2x² + 4
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
Answer:
12.4 cm³
Step-by-step explanation:
From the picture attached,
Radius of the circular top of the cone = =
Height of the cone = h
Lateral height of the cone = h
By applying Pythagoras theorem in the right triangle of the cone,
l² = r² + h²
6² = 1² + h²
h =
h =
Ice cream needed to fill one cone = Volume of the cone
Since, formula for the volume of the cone V =
V =
= 6.195
≈ 6.20 cm³
Ice cream needed to fill the two cones = 2 × 6.20
= 12.4 cm³
Therefore, ice cream needed to fill the two cone = 12.4 cm³