Which conclusion can be drawn from this graph? Carlos thinks the traffic light to get out of his
neighborhood is red more often than green. He decides
to collect data to determine the probability of the light
being red upon his approach. The graph of his long-run
relative frequencies is shown.
About half of the time, the traffic light is red when
Carlos leaves his neighborhood.
O About 63% of the time, the traffic light is red when
Carlos leaves his neighborhood.
If the true probability that the traffic light is red when
Carlos leaves his neighborhood is 0.63, there would
be no variation in the graph.
O The probability that the traffic light is red when
Carlos leaves his neighborhood cannot be
determined from this graph because there is no
pattern in a long series of traffic lights.
Carlos's Red Light
0.75
02
065
0.6

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation: