Increase each of the following amounts by the percentage given.

Mathematics

1 answer:

umka21 [38]3 years ago

6 0

Step-by-step explanation:

(a)90 by 10%

90+10% of 90=90(1+0.1)=99

(b)60 by 25%

60(1+0.25)=75

80(1+0.75)=140

(e)110 by 60%

110(1+0.6)=176

(f)480 by 115%

480(1+1.15)=1032

(g)140 by 45%

140(1+0.45)=203

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Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe

Effectus [21]

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

$P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798$