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.
The answer here will be 1 2/3 because 5/3 is 1 2/3
Answer:
So,
And,
But, given g(a) = 7
So, from 2nd and 3rd step,
3a-1=7
3a=6
Therefore, a = 2
Answer:
Step-by-step explanation:
The perimeter of a triangle is 72cm. The longest is 6cm less than sum of the other two sides. Twice the shorter side is 7cm than less than the longest side. Find the length of each side of the triangle
Answer:
D
Step-by-step explanation:
If you multiply something that is a negative number by something that is positive, in this case, the power of 2, then the answer will still be negative. So -5 ^ 2 is negative 25. When you calculate the power of a negative number, then the result depends on the power of the number, so if it's a positive 2 then the answer will be positive.