We sum vectors by summing the coefficient of corresponding coordinates:
So, in your case, we have
The norm of a vector is the square root of the sum of the squares of its coefficients:
So, in your case, we have
Please help me!!!!!!!!!
2 answers:
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Answer:
The mean for Z is 40.
The standard deviation for Z is 25.
Step-by-step explanation:
We are given the following in the question:
X: daily work hours.
The average daily work hours are 8 hours, with a standard deviation of 5.
Z denote weekly work hours.
We have to find the mean and standard deviation for Z.
The mean for Z is 40.
We use the property:
Thus, the standard deviation for Z is 25.
Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.