Match the system with the number of solutions. One solution

No solution

Many solution (infinite solutions)

2x + 4y = 8

2x + 4y = -6

x + y = 7
2x + 2y = 14

y = 3x +1
y = -x +13
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11

step-by-step explanation:

32.50-7.50=25

225/25=11

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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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

step-by-step explanation:

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