Your friend is trying to calculate the height of a nearby oak tree. you tell him that you learned how to use similar triangles in geometry class. you tell your friend to measure his height (75 inches) and you measure the length of his shadow (48 inches). both of you measure the length of the tree’s shadow (38 feet). how tall is the tree (in feet)? round to the nearest hundredth.

59.38 ft

Step-by-step explanation:

The person and his shadow form a triangle. The tree and its shadow also form a triangle. The triangles are similar triangles, so the lengths of corresponding sides are proportional.

Let the unknown tree height be h.

(person's height)/(person's shadow) = (tree height)/(tree's shadow)

(75 in.)/(48 in.) = h/(38 ft)

(25)/(16) = h/(38 ft)

16h = 25 * 38 ft

16h = 950 ft

h = 59.375 ft

h = 59.38 ft

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

correct answer is c. just did it

step-by-step explanation: