In a (blank) , one ratio compares a part to a whole
1 answer:
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Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
Answer:
a)
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
b)
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
c)
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
d)
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"
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
Part a
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
Part b
For this case we want this probability:
And we can use the complement rule and we have:
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
Part c
We want this probability:
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
Part d
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"