A) What are the situations under which an ON/OFF controller would provide satisfactory response? (8)

Mathematics

1 answer:

LuckyWell [14K]3 years ago

3 0

Answer:

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There are currently 20 members in the school's Ski Club and the dues are $10 per member. To encourage the recruiting of new memb

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Answer:

$f(n)=-0.10n^2+8n+200$

Step-by-step explanation:

Let n represent number of new members and f(n) represent membership money.

We have been given that there are currently 20 members in the school's Ski Club. So when n new members join, the total number of members would be $20+n$ .

Since for each new member recruited the dues for all members will be reduced by 10 cents, so new dues would be $10-0.10n$ .

The membership money would be number of total members times dues as:

$f(n)=(20+n)(10-0.10n)$

Since we need our equation in standard form, so we will use FOIL to expand our equation as:

$f(n)=20(10)-20(0.10n)+n(10)-n(0.10n)$

$f(n)=200-2n+10n-0.10n^2$

$f(n)=200+8n-0.10n^2$

$f(n)=-0.10n^2+8n+200$

Therefore, our required equation would be $f(n)=-0.10n^2+8n+200$ .

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445 randomly selected light bulbs were tested in a laboratory, 316 lasted more than 500 30) hours. find a point estimate of the

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Total number of bulbs tested, N = 445
Number of bulbs that lasted more than 500 hrs, x = 316

Point estimate of bulbs that lasted more than 500 hrs = x/N = 316/445 ≈ 0.71 = 0.71*100 = 71%

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-2c + 3c - 5 - 4c + 7

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Step-by-step explanation:

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