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NeX [460]
3 years ago
6

12.1.33 Question Help Suppose that 62​% of families living in a certain country own an HDTV and 16​% own a computer. The Additio

n Rule might​ suggest, then, that 78​% of families own either an HDTV or a computer. ​What's wrong with that​ reasoning?
Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Suppose :

62% own an HDTV

16% own a computer

Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.

The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.

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Read 2 more answers
Suppose that a biker bikes into the wind for 84 miles and it takes him 7 hours. After a long rest, he returns (with the wind on
Jobisdone [24]

Answer:

Speed of the biker is 13 mph and that of wind is 1 mph.

Step-by-step explanation:

Given:

Time taken by the biker to cover a distance is 7 hrs when he was travelling against the speed of the wind.

Time taken to cover same distance is 6 hours when he was travelling with the speed of the wind.

We have to find the speed of the biker and that of the wind.

Let the speed of the biker is "b" mph

And the speed of the wind is "w" mph

As we know:

Distance = Product of speed and time

Re-arranging the above situation in terms of equation.

⇒ (b-w)\times 7 = 84                          ⇒ (b+w)\times  6 =84

⇒ 7b-7w=84       ...(i)                   ⇒ 6b+6w=84...(ii)

Multiplying equation (i) with 6 and equation (ii) with 7 so that we can eliminate one variable that is "w" after adding both the equation.

⇒ 42b-42w=504 equation (iii)

⇒ 42b+42w=588 equation (iv)

⇒ Adding both the equations.

⇒ 84b=1092

⇒ b=\frac{1092}{84}

⇒ b=13 mph.

Speed of the biker is 13 mph.

⇒ Plugging b=13 in equation (ii),we have:

⇒ 6b+6w=84

⇒ 6w=84-6b

⇒ 6w=84-6(13)

⇒ 6w=84-78

⇒ 6w=6

⇒ w=\frac{6}{6}

⇒ w=1 mph.

Speed of the biker is 13 mph and the speed of the wind is 1 mph whenever the biker is with the speed of the wind the biker's speed increases by 1 mph and subsequently decreases when he is against the speed of the wind.

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3 years ago
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