What is the solution of the system of equations shown below?
1 answer:
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Answer:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Step-by-step explanation:
Previous concepts
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 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".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For the case when z =-2 we can do this:
And if we solve for X we got:
And for the other case when Z=2 we have:
And if we solve for X we got:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Answer:
<em>9</em>
Step-by-step explanation:
I've attached a picture, and I hope it's clear and understandable.
If a number "n" gives a remainder of 5 when divided by 16, it will give a remainder of 5 when divided by 8.
As per the question statement, a number "n" gives a remainder of 5 when it is divided by 16.
We are required to calculate the remainder when "n" is divided by 8.
To solve this question, we need to know the relation between Dividend, Quotient, Divisor and Remainder.
[(Quotient * Divisor) + Remainder = Dividend]
Here, (Divisor = 16), (Dividend = "n"), (remainder = 5) and let our Quotient be "x".
Now, we will form a linear equation in one variable, based on the above mentioned relation between Dividend, Quotient, Divisor and Remainder and the conditions mentioned in the question statement, i.e.,
...(where "x" is any positive integer)
Assuming (2x = y), we get that
That is, the same number "n" will give a remainder of 5 when divided by 8.
- Remainder: When a number cannot exactly divide another number, the left over amount is know as the remainder of that division.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and thus, comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept.
To learn more about Remainder, click on the link below.
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