Sounds as tho' all three lines are parallel. Is that correct?
If so, all three lines have the same slope!
What is the slope of <span>5y=2x-20 ? Solving for y, y = (2/5)x - 4
</span>
The slope is (2/5).
Now find the equation of the line with slope (2/5) that passes thru (10,-8).
It is y - [-8] = (2/5)(x - 10).
We can simplify this, with the result y + 8 = (2/5)x - 4. This, in turn, can be simplified to y + 8 = 2x/5 - 4, or y = 2x/5 - 12. Mult. all terms by 5 to eliminate the fraction:
5y = 2x - 60
Note how this has the exact same form as the given 5y = 2x - 20, EXCEPT that the constant at the end is different.
5y = 2x - 60 and 5y = 2x - 20 are parallel lines with the same slope but different y-intercepts.
Answer:
Where 
and 
We select a sample of n=16 and we are interested on the distribution of 
, since the distribution for X is normal then we can conclude that the distribution for 
is also normal and given by:
Because by definition:
And for this case we have this:
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 IQ scores of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of n=16 and we are interested on the distribution of , since the distribution for X is normal then we can conclude that the distribution for is also normal and given by:
Because by definition:
And for this case we have this:
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)
in (smallest value)
in
in (largest value)
At the end of the game you owned 13 cents if 71% of your rolls are successful and 29% of your rolls are unsuccessful option first is correct.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll a 3, 4, 5 or 6, you must pay your friend $2.
71% of your rolls are successful:
= 1×0.71
= $0.71 (won)
29% of your rolls are unsuccessful
= 2×2.9
= $0.58 (lose)
The amount owned = 0.71 - 0.58 = $0.13 = 13 cents
Thus, at the end of the game you owned 13 cents if 71% of your rolls are successful and 29% of your rolls are unsuccessful option first is correct.
Learn more about the probability here:
brainly.com/question/11234923
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