Asmall fruit basket with 6 apples and 6 oranges costs 7.50. a different fruit basket with 10 apples and 5 oranges costs 8.75 .whats is the cost of one apple?

This can be modeled with the two equations

6A + 6J = 7.5

10A + 5J = 8.75

A = cost per apple

J = cost per orange

We will substitute one equation into the other

6A + 6J = 7.5

6J = 7.5 - 6A

J = 1.25 - A

plug J into the other equation

10A + 5(1.25 - A) = 8.75

Solve for A

A = .5

the cost of one apple is .5

answer: options

step-by-step explanation:

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