9741 divided by 221 in fraction form
1 answer:
We want the GCD of 9741: 3 * 17 * 191. In order to get that...
9741 is divisible by 3 and equal to 3247 * 3 therefore we have 3 * 3247.
3247 is divisible by 17 and equal to 191 * 17 therefore we have 3 * 17 * 191, these are all prime numbers so no more factorization for this part.
Now we need to prime factorize the 221.
221 is divisible by 13 and equal to 17 * 13 therefore we have 13 * 17 which are all prime numbers meaning no more factorization.
Now we want to factor out 17 from the numerator/denominator
9741 = 17 * 573
221 = 17 * 13
In other words...(Same thing cancel the common factor of 17)
9741 is divisible by 3 and equal to 3247 * 3 therefore we have 3 * 3247.
3247 is divisible by 17 and equal to 191 * 17 therefore we have 3 * 17 * 191, these are all prime numbers so no more factorization for this part.
Now we need to prime factorize the 221.
221 is divisible by 13 and equal to 17 * 13 therefore we have 13 * 17 which are all prime numbers meaning no more factorization.
Now we want to factor out 17 from the numerator/denominator
9741 = 17 * 573
221 = 17 * 13
In other words...(Same thing cancel the common factor of 17)
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Answer and Step-by-step explanation: Scaterplot is a type of graphic which shows the relationship between to variables. In this question, you want to determine if there is a linear relationship between overhead widths of seals and the weights. So, the hypothesis are:
H₀: no linear correlation;
H₁: there is linear correlation;
In this hypothesis test, to reject H₀, the correlation coefficient r of the data set has to be bigger than the critical value from the table.
With α = 0.05 and n = 6, the critical value is 0.811.
The linear correlation is calculated as:
r = n∑xy - ∑x.∑y / √[n∑x² - (∑x)²] [n∑y² - (∑y)²]
r =
r = 0.9485
Since r is bigger than the critical value, H₀ is rejected, which means there is enough evidence to conclude that there is linear correlation between overhead widths and the weights.
In the attachments is the scaterplot of the measurements, also showing the relationship.
