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Naddika [18.5K]
3 years ago
9

Do the ratios 6:3 and 8:4 form a proportion?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

6:3 and 8:4

6:3

Divide by 3

6/3: 3/3

2:1

8:4

Divide by 4

8/4: 4/4

2:1

They are the same so they form a proportion

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A random sample of 121 students from the University of Oklahoma had a sample mean ACT score of 23.4 with a sample standard devia
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Answer:

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 121

Sample mean = 23.4

Sample standard deviation = 3.65

Level of significance = 0.05

Degree of freedom

= n - 1 = 120

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Calculation of critical value:

t_{critical}\text{ at degree of freedom 120 and}~\alpha_{0.05} = \pm 1.9799  

Putting the values, we get,  

23.4\pm 1.9799(\dfrac{3.65}{\sqrt{121}} )\\\\ = 23.4 \pm 0.6569\\\\ = (22.7431 ,24.0569)\approx (22.74,24.06)  

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

5 0
3 years ago
54:63 in simplest form
Bas_tet [7]

Answer:

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Step-by-step explanation:

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The greatest comen factor of 24 and 30
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Step-by-step explanation:

Write the prime factorizations:

24 = 2³ × 3

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GCF = 2 × 3

GCF = 6

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