Three forces with magnitudes of 52 pounds, 82 pounds, and 111 pounds act on an object at angles 100o, 190o, and 310o, respective
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Answer:
The number is 12.
Step-by-step explanation:
Given:
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:
Hence, The number is 12.
Answer:
1. The error in the assumption is taking the sample mean, , as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, , approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is
1. The error in the assumption is taking the sample mean, , as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
= Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
let's firstly, convert the mixed fraction to improper fraction, and then subtract.