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Jet001 [13]
2 years ago
5

Explain the simplified form of 3abc/abc when abc doesn't equal zero?

Mathematics
1 answer:
Flura [38]2 years ago
7 0
Dividing abc, which is a*b*c, we get 3*a/a*b/b*c/c=3
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The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

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

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

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

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
What is The equivalent fraction of 2/5
Nat2105 [25]

Answer:

4/10 is equivalent to 2/5

Step-by-step explanation:

because 4/10 is written as 0.4 in decimal form and so is 2/5, which means they are equivalent

7 0
3 years ago
Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on
dusya [7]

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

4 0
3 years ago
Given that k ∥ l, identify the congruent angles in the triangles.<br><br> ∠1≅ <br> ∠2≅ <br> ∠3≅
rewona [7]

Answer:

1.Angle 5

2.Angle 4

3.Angle 6

Step-by-step explanation:

5 0
3 years ago
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Lightwaves travel from the air into a lens made of glass. Their velocity decreases as they enter the glass. How does this affect
Bingel [31]
Their frequency stays the same and their wavelength decreases
7 0
3 years ago
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