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r-ruslan [8.4K]
3 years ago
13

In his free time, Gary spends 9 hours per week on the internet and 14 hours per week playing video games. If Gary has five hours

of free time per day, approximately what percent of his free time is spent on the internet and playing video games?
Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

40 % playing video games and 25.71 % on the internet

Step-by-step explanation:

5 hours a day time 7 days a week equals 35

14 hours of video game hours divide by 35 hours in the week equals 0.40

move the decimal 2 places to the left to get a percentage = 40%

9 hours of internet divide by 35 hours in the week equals 0.2571428...

move decimal 2 places to the left and round up to the tenths and 25.71%

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Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

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Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}​

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

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Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

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number of outcomes in F=n(F)=5

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P(F)=0.417

G={13,14,15,16}

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P(G)=4/12

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F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

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P(F or G)=0.417+0.333-0.083

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Step-by-step explanation:

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