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Assoli18 [71]
3 years ago
13

Camille said 4/5is equivalent to 24/30. Check her work by making a table of equivalent ratios

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

<em>The five equivalent fractions of 4/5 are: </em>

<em> 4 × 2/5 × 2 = 8/10 </em>

<em> 4 × 3/5 × 3 = 12/15 </em>

<em> 4 × 4/5 × 4 = 16/20 </em>

<em> 4 × 5/5 × 5 = 20/25 </em>

<em> 4 × 6/5 × 6 = 24/30</em>

<em />

<em>8 : 10</em>

<em>12 : 15</em>

<em>16 : 20</em>

<em>20 : 25</em>

<em>24 : 30</em>

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How much volume is in 250 ml of water
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Step-by-step explanation:

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4 years ago
Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adu
Alex_Xolod [135]

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

H_0: p = 0.4

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

Random sample of 15 adults, 8 favor capital punishment.

This means that n = 15, X = \frac{8}{15} = 0.5333

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}

z = 1.05

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

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3 years ago
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irinina [24]

Answer:

A. \left \lfloor \frac{10}{2.25} \right \rfloor

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get \frac{1}{2.25}\times 10 i.e. \frac{10}{2.25} = 4.44

Since, number of books cannot be in decimals.

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Hence, we can buy 4 books from $10.

Now, according to the options:

A. \left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4

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D. \frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5

Hence, we see that from the options, A is correct.

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3 years ago
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