To a survey of 290 newspaper reader, 181
1 answer:
Question:
To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?
Answer:
39 read all three news papers,72 Exactly two Papers & 52 reads Guardian Alone
Step-by-step explanation:
We have given, A survey of 290 newspaper readers.
Who read the Daily times A=181
Who read the Guardian times B=142
Who read the punch C=117
Who read Daily Times and the Guardian A\cap B= 75
Who read Daily Times and the punch A\cap C=60
Who read Guardian and punch B\cap C=54
To find :
How many readers read All three papers, Exactly two of the papers The Guardian alone?
Solution :
Readers read all three papers is
Total survey is given by,
Total =
290 =
290 =
290-251=
So, number of readers who read all three papers is 39.
Exactly two of the papers = 36 + 21 + 15 = 72
Guardian Alone = 52
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Answer:
In the long run cost of the refrigerator g(x) will be cheaper.
Step-by-step explanation:
The average annual cost for owning two different refrigerators for x years is given by two functions
f(x) =
=
and g(x) =
=
If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.
At x = 1 year
f(1) = 850 + 62 = $912
g(1) = 1004 + 51 = $1055
So initially f(x) will be cheaper.
For f(x) = g(x)
=
x =
Now f(15) = 56.67 + 62 = $118.67
and g(x) = 66.93 + 51 = $117.93
So g(x) will be cheaper than f(x) after 14 years.
This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).