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leva [86]
3 years ago
6

The complementary angle of 45

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

Answer:

45°

Step-by-step explanation:

Complementary angles sum to 90°, thus

90° - 45° = 45° ← is the complement of 45°

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Option A

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The median is the value that lies in the middle of the data when the data set is ordered.

It is also the value that separates the higher half of the dataset from the lower half of the dataset.

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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a
dlinn [17]

Answer:

The mean volume is 12 ounces.

Step-by-step explanation:

In this case we need to test whether the mean volume the machine fills the beverage cans with is 12 ounces or not.

The hypothesis for this test can be defined as:

<em>H₀</em>: The mean volume is 12 ounces. i.e. <em>μ</em> = 12 ounces.

<em>Hₐ</em>: The mean volume is not 12 ounces. i.e. <em>μ</em> ≠ 12 ounces.

As the population standard deviation is not known, we will use a <em>t</em>-test for single mean.

The sample mean and sample standard deviation is:

\bar x=\frac{1}{n}\sum X\\=\frac{1}{8}\times [11.98+12.08+11.87+11.95+11.89+12.01+11.97+12.10]\\=11.98

\text{s} = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}}\\=\sqrt{\dfrac{\sum_{i=1}^{n}(11.98 - 11.98)^{2}}{8 - 1}}+\sqrt{\dfrac{\sum_{i=1}^{n}(12.08- 11.98)^{2}}{8 - 1}}+...+\sqrt{\dfrac{\sum_{i=1}^{n}(12.10- 11.98)^{2}}{8 - 1}}\\=0.0815Compute the test statistic as follows:

t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{11.98-12}{0.0815/\sqrt{8}}=-0.69

The test statistic value is -0.69.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected.

Compute the <em>p</em>-value of the test as follows:

p-value=2P(t_{7}

*Use a <em>t</em>-table.

The significance level of the test is, <em>α</em> = 0.05.

<em>p</em>-value = 0.512 > <em>α</em> = 0.05

The null hypothesis was failed to be rejected.

Hence, it can be concluded that the mean volume is 12 ounces.

5 0
3 years ago
CAN SOMEONE HELP ME WITH THIS PROBLEM????????????????????
Phantasy [73]

Answer:

<em>Hi there!</em>

<u><em>For 1. it should be answer b</em></u>

<u><em>For 2. it would be answer c</em></u>

<u><em>For 3. it is answer a</em></u>

<em>Hope I Helped!</em>

6 0
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