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lara31 [8.8K]
2 years ago
11

Angela is getting a pedicure at a spa that also offers massages where customers pay by the minute. If Angela only gets a pedicur

e, it will cost her $35. If she pays for a 20 minute massage, it will cost her $50.
Write an equation in slope-intercept form where x represents the number of minutes for a massage and y represents Angela's total cost of a pedicure and a massage.
Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0
This is an expression if she only gets pedicure
y = 35

If she wants to get massage, multiply the cost for a minute with the number of minutes.
Find cost per minute first
cost = 50/20
cost = 2.5

So the expression would be
y = 35 + 2.5x
y = 2.5x + 35
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A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space,
frez [133]

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The area of the sumo wrestling ring is 5.29 \pi

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The circumference of the circular sumo wrestling ring is 4.6\pi, that means its radius r is:

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Now once we have the radius r of the sumo wrestling ring we can find its area A by the following formula:

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2 years ago
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In a study in Scotland (as reported by Devlin 2009), researchers left a total of 320 wallets around Edinburgh, as though the wal
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  p = 0.45625

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<em>  0.40168  , 0.51082)</em>

<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

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             p = \frac{x}{n} = \frac{146}{320} = 0.45625

<u><em>Step(ii)</em></u>:-

b)<em> </em><u><em>95% of confidence intervals for Population proportion</em></u>

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<em>(0.45625 - 0.05457 , 0.45625 + 0.05457)</em>

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<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

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