The additive inverse of 21
2 answers:
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ANSWER
The approximate solution is
EXPLANATION
The point of intersection of the two lines is the solution of the linear systems represented by the graph.
From the graph we can determine that each box is 2 units.
From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be
Note that since each box is two units, half way between the boxes gives one unit.
The approximate solution is
EXPLANATION
The point of intersection of the two lines is the solution of the linear systems represented by the graph.
From the graph we can determine that each box is 2 units.
From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be
Note that since each box is two units, half way between the boxes gives one unit.
Answer:
And if we solve for a we got;
So the value of height that separates the bottom 95% of data from the top 5% is 11.64
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 certain lifetime of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got;
So the value of height that separates the bottom 95% of data from the top 5% is 11.64
Answer: hello there here are your answers:
8) B multiplication property of zero
9) C additive identify
1) 8
2) -2a-7
Step-by-step explanation:
1)
2)