Answer:
21°
Step-by-step explanation:
A line is 180 degrees.
Subtract 159 from 180 and you get the answer.
Answer:
100
Step-by-step explanation:
Answer:
The probability that the sample mean is more than 110 is 0.0384.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (n > 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sampling distribution of sample mean is given by:
And the variance of the sampling distribution of sample mean is given by:
The information provided is:
Since <em>n</em> = 50 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the normal distribution.
The mean variance of the sampling distribution for the sample mean are:
That is, .
Compute the probability that the sample mean is more than 110 as follows:
*Use a <em>z</em>-table.
Thus, the probability that the sample mean is more than 110 is 0.0384.
Answer:
2
Step-by-step explanation:
Answer:
21 % increase
Step-by-step explanation:
Lets imagine the sides of the rectangle are 100 & 200 cms.
The area would be 100 x 200 = 20000cm^2
If we added 10% onto each side, the sides would now be 110 & 220 cms.
The area would be 110 x 220 = 24200cm^2
We can now find percentage change:
= 21/100 = 21% increase.
The reason we can just pick random values of sides to do this question with is because we worked out percentage change, which will be the same no matter the proportion of the sides.
Hope this helped! Let me know if you have any questions :)