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tankabanditka [31]
3 years ago
11

Manuel and Joe order pasta for $4.55, salad for $5.15, and 2 glasses of lemonade for $1.70 each. The tax is $1.05. How much chan

ge should they get from $15.00?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
They should get 85 cents. ($0.85)
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You are filling paper cones with popcorn for a party.
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The amount of popcorn needed to  fill the paper cone is V=1,005\ cm^{3}

Step-by-step explanation:

we know that

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V=\frac{1}{3}\pi r^{2} h

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V=\frac{1}{3}(3.14)(8)^{2}(15)

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Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
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<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

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