There are 18 bicycles. There are more more blue than yellow. There are 2 less yellow than green. How many of each color are ther
1 answer:
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Question 1:
y=-x+7
y=2x-2
(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x
y=-x+7
y=-(3)+7
y=4
Question 2:
y-1=2x
y+2x=5
y-1=2x
y-1+1=2x+1
y=2x
(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1
y-1=2(1)
y-1+1=2+1
y=3
Answer: x=1 y=3
y=-x+7
y=2x-2
(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x
y=-x+7
y=-(3)+7
y=4
Question 2:
y-1=2x
y+2x=5
y-1=2x
y-1+1=2x+1
y=2x
(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1
y-1=2(1)
y-1+1=2+1
y=3
Answer: x=1 y=3
Answer:
And we can find this probability using excel or the normal standard tabe and we got:
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 temperatures of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got: