Answer:
0.1349
Step-by-step explanation:
Given that:
Sample size, n = 500
20% of 500 ; 0.2 * 500 = 100
p = 0.18 ; n = 500 ; 1 - p = 0.82
P(x ≥ 100) ;
Using the binomial probability relation :
P(x =x) = nCx * p(x)^x * (1 - p)^(n - x
P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400
P(x ≥ 100) = 0.1349
Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
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Answer:
for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19
Here we want to find the possibles magnitudes of the sum of two vectors.
Sadly, the options are not given, so I will give you the range of all the possible magnitudes of the sum of these two vectors.
We will find that any magnitude in the range: 58cm ≤ M ≤ 100cm <u>is a possible magnitude or the resultant vector.</u>
<em>How we can find that range?</em>
What we need to do is find the <u>maximum and minimum.</u>
The minimum is the case where the two <u>displacements are in opposite directions</u>, in that case, the magnitude of the sum will be:
79cm - 21cm = 58cm
The maximum is when<u> both displacements are in the same direction</u>, thus we must add the displacements, then we have:
79cm + 21cm = 100cm
Thus, any magnitude in the range:
58cm ≤ M ≤ 100cm
Is a <u>possible magnitude for the resultant vector.</u>
If you want to learn more, you can read:
brainly.com/question/18449895