Samantha solved an equation, as shown below:

Step 1: 15r = 105
Step 2: r = 105 - 15
Step 3: r =90

Part A: Is Samantha's answer correct or incorrect? If it is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions does this equation have? (4 points)

Step-by-step explanation:

A) Samantha's answer is incorrect because 15r ----> 15*r. So when 15 goes to other side, multiplication will change to division (not subtraction)

15r = 105

divide both sides by 15

B)This equation has only one solution.

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

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