What's 221 rounded to the nearest 10
1 answer:
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Answer:
Step-by-step explanation:
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 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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Data given
n = 25000 represent the automobile policy holders
represent the population mean
represent the population standard deviation
Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:
From the central limit theorem we know that the distribution for the sample mean is given by:
Solution to the problem
First we need to find the distribution for the random variable T like this:
And the total T is given by:
We can find the expected value, variance and deviation for this random variable like this:
And we are interested on this probability:
And we can use the Z score formula given by:
The coffee shop used 52 pounds of Type A coffee.
Step-by-step explanation:
Cost of Type A coffee per pound = 5.25
Cost of Type B coffee per pound = 4.10
Total pounds used in blend = 142
Total cost = 642.00
Let,
x be the pounds of Type A coffee used
y be the pounds of Type B coffee used
According to given statement;
x+y=142 Eqn 1
5.25x+4.10y=642.00 Eqn 2
Multiplying Eqn 1 by 4.10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 1.15
The coffee shop used 52 pounds of Type A coffee.
Keywords: linear equation, elimination method
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