A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496 square inches. the cheerl
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Dos rectas cuyas pendientes son m1 y m2, son perpendiculares si y sólo si m1m2 =-1
with a point and the slope you can find the equation
y-y1=m(x-x1)
as the point is given (-1,-4) then substitute it in the equation
y-(-4)= -2[(x-(-1)]⇒y+4= -2x-2⇒y=-2x-2-4⇒y=-2x-6 and this is the equation of the line that must be graphed
second step)
graph the equation y =- 2x-6, with the points of intersection are for x = 0, y = -2(0)-6= -6 , the point is ( 0,-6) and the other point is for y = 0
0= -2x-6, 2x= -6, x = -6/ 2 = -3, the other point is (-3,0) then the graph is the following, you can see in it the points of intersection
The value of the probability P(x > 2) is 0.8369
<h3>How to evaluate the probability?</h3>The given parameters are:
n = 5
p =0.7
The probability is calculated as:
Using the complement rule, we have:
P(x > 2) = 1 - P(0) - P(1) - P(2)
Where:
P(0) = 1 *1 * (1 - 0.7)^5 = 0.00243
P(1) = 5 *0.7^1 * (1 - 0.7)^4 = 0.02835
P(2) = 10 *0.7^2 * (1 - 0.7)^3 = 0.1323
Recall that:
P(x > 2) = 1 - P(0) - P(1) - P(2)
So, we have:
P(x > 2) = 1 - 0.00243 - 0.02835 - 0.1323
Evaluate
P(x > 2) = 0.83692
Approximate
P(x > 2) = 0.8369
Hence, the value of the probability P(x > 2) is 0.8369
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