On a map the distance from springfield to pleasantville is 6 in. the map scale is 1/2 in = 20 mi. find the actual distance between springfield and pleasantville. a. 3.34 miles c. 123 miles b. 60 miles d. 240 miles

Actual distance between Springfield and pleasantville is Option d. 240 miles.

Step-by-step explanation:

On a map distance between Springfield and pleasantville is 6 inch and map scale is 1/2 inch = 20 miles.

From the question we have to find the actual distance between Springfield and pleasantville.

We will apply unitary method to get the solution.

∵ 1/2 inch distance = 20 miles

∴ 1 inch distance =

                            = 20×2 = 40 miles

∴ 6 inch distance = 40×6 = 240 miles

So actual distance between Springfield and pleasantville is 240 miles.

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