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Korolek [52]
3 years ago
11

The total cost for buying new sneakers for the basketball team an be found by using the function y=25x + 65, is where x is the n

umber of players. If between 9 and 16 players need new sneakers. Find the domain and range of this situation
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

Domain\ =\ \{x: 9,10,11....16\}

<em></em>Range\ =\ \{y:290, 315,340.....465\}<em></em>

Step-by-step explanation:

Given

y = 25x + 65

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

Domain\ =\ \{x: 9,10,11....16\}

Solving for the range;

<em>When x = 9</em>

<em></em>y = 25 * 9 + 65<em></em>

<em></em>y = 225 + 65<em></em>

<em></em>y = 290<em></em>

<em></em>

<em>When x = 10</em>

<em></em>y = 25 * 10 + 65<em></em>

<em></em>y = 250 + 65<em></em>

<em></em>y = 315<em></em>

<em></em>

<em>When x = 11</em>

<em></em>y = 25 * 11 + 65<em></em>

<em></em>y = 275 + 65<em></em>

<em></em>y = 340<em></em>

<em></em>

<em>You continue till you get to x = 16</em>

<em>---</em>

<em>--</em>

<em>-</em>

<em>When x = 16</em>

<em></em>y = 25 * 16 + 65<em></em>

<em></em>y = 400 + 65<em></em>

<em></em>y = 465<em></em>

<em></em>

<em>Hence; the range is</em>

<em></em>Range\ =\ \{y:290, 315,340.....465\}<em></em>

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A sample of 997 is needed.

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How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

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\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

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n = 996.3

Rounding up:

A sample of 997 is needed.

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