the length of a large Conference room is 6 feet more than its width.Find the length and the width of the room if its perimeter i
1 answer:
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Step-by-step explanation:
Hey there!
The 1st equation is;
y= 1/2 x-8.............(i)
Comparing the equation y= mx+c. We get;
Slope (m1) = 1/2
The equation of point which moves through point (-3,-4).
(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}
(y+4) = m2 (x+3)..………(ii)
Now, we need to find m2.
So, the condition of perpendicular lines: m1*m2= -1.
Therefore, m2 = -2.
So, let's keep value of m2 in eqaution (ii).
y+4 = -2(X+3)
y+4 = -2x-6
y = -2x -10.
Therefore, the eqaution is y= -2x-10.
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
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)"