<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment.
Given that FB : FC = 4 : 3,
From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1).
We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A)
Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1))
Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3.
Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4).
Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3.
Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4).
Therefore, the coordinates of point D is (-6, -4).</span>
Answer:
0.1296
Step-by-step explanation:
The desired probability is calculated by using geometric probability distribution having the pdf of
P(X=r)=p*q^r-1 where x=1,2,3,....
The geometric distribution is used because experiment is repeated various number of times until the success is obtained.
Here p is the probability of success which is 0.4 in the given scenario as Zach scores a ringer 40% percent of time
We wish to calculate the probability that Zach throws 555 or more to achieve his first ringer that is
P(R≥5)=1-P(R<5)=1-P(R≤4)
P(R≤4)=P(R=1)+P(R=2)+P(R=3)+P(R=4)
P(R≤4)=0.4*0.6^0+0.4*0.6^1+0.4*0.6^2+0.4*0.6^3
P(R≤4)=0.4+0.4*0.6+0.4*0.36+0.4*0.216
P(R≤4)=0.8704
P(R≥5)=1-P(R≤4)=1-0.8704=0.1296.
So it is 12.96% chance that the Zach throws 555 or more to achieve his first ringer.
Answer:
x=300-140
x=160
Step-by-step explanation:
hope it help you
Answer:
white:77 red:161
Step-by-step explanation:
brainliest please
Answer:
28408
Step-by-step explanation:
212x134=28408
