A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin?

pi/16

Step-by-step explanation:

draw a 2 by 2 grid to choose a point.

The grid's area is 4, right? Draw a quarter of a circle in the graph.

Any point less than one on there is going to be your answers.

The area of the circle is pi/4. But we want less than 1 not 2.

So we divide by four again to get pi/16.

Hope this helps :)

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?