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Dima020 [189]
3 years ago
10

5) Tim loves reading fiction, and he can read 100 pages in 2 hours. How many pages he can read in 48 minutes?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

Answer:

40 pages

Step-by-step explanation:

Lets change hours to minutes

1 hours = 60 minutes

2 hours = 120 minutes

We will use ratios to solve

100 pages         x pages

------------------- = --------------

120 minutes       48 minutes

Using cross products

100 * 48 = 120 * x

Divide each side by 120

100 *48/120 = 120x/120

40 =x

Tim can read 40 pages

IrinaVladis [17]3 years ago
5 0

Answer:

40\ pages

Step-by-step explanation:

Remember that

1 hour=60 minutes

so

2 hours=120 minutes

Using proportion

\frac{100}{120}\frac{pages}{minutes}=\frac{x}{48}\frac{pages}{minutes}\\ \\x=100*48/120\\ \\x=40\ pages

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A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
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Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

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#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=\frac{P(a \ and\  b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

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3 years ago
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