1. Find the LCM of each group of the following(a) 12

1 answer:

3 0

A) using prime factorization (dividing with a prime factor until everything is a prime number, then multiplying the prime numbers by each other once), u can calculate their lcm

122=2x61
15=5x3
834=2x3x139

then multiply the prime factors once,
2x3x5x61x139= 254,370

b) i’m assuming that u solve the equation first bc u didnt put any commas

42-12-16=14
3-92+20=-69

do prime factorization
14=2x7
-69=-23x3

multiply the factors
-23x7x3x2=-966

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Answer:

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$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

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Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: