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Svetradugi [14.3K]
3 years ago
6

Use long division to find a repeated decimal equivalency for the fraction 6/9

Mathematics
2 answers:
Sliva [168]3 years ago
4 0

It gets repetitive really fast. The second verse is the same as the first. The result is ...

\dfrac{6}{9}=0.\overline{6}

IceJOKER [234]3 years ago
4 0

6/9 is your answer :)

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In a test of the effectiveness of garlic for lowering​ cholesterol, 8181 subjects were treated with raw garlic. Cholesterol leve
xz_007 [3.2K]

Answer:

With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

Step-by-step explanation:

The dependent <em>t</em>-test (also known as the paired <em>t</em>-test or paired samples <em>t</em>-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired <em>t</em>-test is used to determine the effectiveness of garlic for lowering​ cholesterol.

A random sample of 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0, i.e. <em>d</em> ≤ 0.

<em>Hₐ</em>: With garlic​ treatment, the mean change in LDL cholesterol is greater than 0, i.e. <em>d</em> > 0.

The information provided is:

\bar d=0.40\\SD_{d}=16.2\\\alpha =0.01

Compute the test statistic value as follows:

t=\frac{\bar d}{SD_{d}/\sqrt{n}}\\\\=\frac{0.40}{16.2/\sqrt{81}}\\\\=0.22

The test statistic value is 0.22.

Decision rule:

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

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

p-value=P(t_{n-1}>0.22)\\=P(t_{80}>0.22)\\=0.4132

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

The <em>p</em>-value of the test is 0.4132.

<em>p-</em>value= 0.4132 > <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, it can be concluded that with garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

3 0
2 years ago
Solve for x, given the equation Square root of x-5+7=11
denis-greek [22]

\sqrt{x-5+7} = 11\\x-5+7 = 11^2\\x-5+7 = 121\\x + 2 = 121\\x = 119

Check the answer:

\sqrt{119-5+7} \\\sqrt{114+7} \\\sqrt{121} \\11

This answer is correct,

x = 119

6 0
3 years ago
An arithmetic sequence is represented by the recursive formula a1=17an=an−1−8 . What is the fourth term in the sequence? a4=−4 a
user100 [1]

Answer:

a₄ = - 15

Step-by-step explanation:

Using the recursive formula and a₁ = 17 , then

a₂ = a₁ - 8 = 17 - 8 = 9

a₃ = a₂ - 8 = 9 - 8 = 1

a₃ = a₂ - 8 = 1 - 8 = - 7

a₄ = a₃ - 8 = - 7 - 8 = - 15

4 0
3 years ago
Subtract and reduce to lowest terms: 4 - 5/8
lord [1]

Answer: 3 3/8

Hope this helps!

7 0
3 years ago
12 1/3 - ( 2x + 3 2/3)
Citrus2011 [14]

Answer:

hello there the correct answer is 16−2x

Step-by-step explanation:

8 0
2 years ago
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