Answer:
They aren't equivalent
Step-by-step explanation:
Look at them as simplified fractions
4/18 = 2/9
2/12 = 1/6
If both of these are in their most simplified forms then its not equivalent!
I'll use multiples of 2 and 4 as an example:
Multiples of 2: 2, 4, 6, 8...
Multiples of 4: 4, 8, 12, 16...
The least common multiple in this case is 4. The LCM is always ≥ the largest starting number, which is 4 for this example. Therefore, the statement is true.
<em>Hope this helps! :)</em>
Answer:
x=45°
Step-by-step explanation:
The 160° plus the unlabeled angle to the left of it are supplementary, meaning when added they equal 180°. The unlabeled angle will therefore be 20°. The angle across from the 20° will also be 20°. 115° + 20° = 135°. Now all that is left on the top half is x.
180° - 135° = 45°
Answer:
For the exponential distribution:


We know that the exponential distribution is skewed but the sample mean for this case using a sample size of 60 would be approximately normal, so then we can conclude that if we have a sample size like this one and an exponential distribution we can approximate the sample mean to the noemal distribution and indeed use the Central Limit theorem.



Step-by-step explanation:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
For this case we have a large sample size n =60 >30
The exponential distribution is the probability distribution that describes the time between events in a Poisson process.
For the exponential distribution:


We know that the exponential distribution is skewed but the sample mean for this case using a sample size of 60 would be approximately normal, so then we can conclude that if we have a sample size like this one and an exponential distribution we can approximate the sample mean to the noemal distribution and indeed use the Central Limit theorem.



Answer:
5 2/3
Step-by-step explanation: