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neonofarm [45]
3 years ago
15

Circle O had a circumference of 36 2.14 cm. What is the length of the radius, r?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

r =  = 57.6  (approximately)

Discussion:

Given: circumference of circle O = 362.14

The circumference of a circle of radius r, is given by the formula C = 2 *PI *2.

So we need to find the value of r in

2*Pi*r = 362.14

Divide both sides by 2*PI to get

r = (362.14)/ (2 * Pi)   =   (362.14)/  6.283         (approximately)

                                 = 57.6  (approximately)



Thank you,

MrB

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To compare two programs for training industrial workers to perform a skilled job, 20 workers are included in an experiment. Of t
nikklg [1K]

Answer:

t=\frac{19.1-23.3}{\sqrt{\frac{4.818^2}{10}+\frac{5.559^2}{10}}}}=-1.805  

p_v =P(t_{(18)}

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude the the true mean for method 1 is lower than the mean for the method 2 at 5% of significance

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Data given and notation

We can calculate the sample mean and deviation with these formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

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\bar X_{2}=23.3 represent the mean for the sample mean for 2

s_{1}=4.818 represent the sample standard deviation for the sample 1

s_{2}=5.559 represent the sample standard deviation for the sample 2

n_{1}=10 sample size selected 1

n_{2}=10 sample size selected 2

\alpha represent the significance level for the hypothesis test.

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p_v represent the p value for the test (variable of interest)

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We need to conduct a hypothesis in order to check if the average time taken when training under method 1 is less than the average time for Method 2, the system of hypothesis would be:

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

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