Find the mode of these numbers: 4,4,6,6,2,2,6,2,4,2
2 answers:
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Answer:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Positive z-score: Above the mean
Negative z-score: Below the mean
All variables are continuous.
X can be positive or negative, just like Z
So the correct answer is:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
<u>Given the following data;</u>
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
.........equation 1
For the $80 mixture;
..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
.......equation 3
Substituting "w" into equation 2;
Simplifying the equation, we have;
Rearranging the equation, we have;
p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;
w = 4 pounds (For the wooden block).