Answer:
this can be solved by simple unitary method
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 number of gallons of paint needed to paint the entire fence is 26.4 gallons.
<h3>Area of rectangle</h3>
Area = length × width
= 33 m × 2 m
= 66 square meter.
- A gallon of paint = 2.5 m²
Number of gallons of paint needed = 66 square meter / 2.5 m²
= 26.4 gallons
Learn more about area of rectangle:
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Answer:
x²+2x+3
Step-by-step explanation:
We are to simplify the expression;
5x³+10x²+15x/5x
Factor out 5x from the numerator
= 5x(x²+2x+3)/5x
5x will cancel out both at the top and bottom to have;
x²+2x+3
Factorize
x²+2x+3
Hence the simplified form is x²+2x+3
Answer:
2x + y = 3 => y = 3-2x
then
4x+4(3-2x) = 8
4x+12-8x= 8
-4x = -4
x=1
y=3-2*1 = 1
Step-by-step explanation: