First, we need to set up the equation.
y = amount
x = new customer
Daniel gets 10 dollars each week. Let's think of this as a base pay, there's no variable to it.
So we start with 10.
Next, we have 3.50 dollars each week for each new customer.
So that would be 3.50 times each new customer which would become 3.50x
When you put those two together, you get y = 10 + 3.50x.
What ..........................................................................
Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
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Answer: see below
Explanation:
The probability that Ben hit on Tuesday:
18/30 = 3/5
The probability that Ben hits for total:
(84 + 30 + 36 + 18)/(120 + 50 + 40 + 30)
= 168/240 = 7/10
c). B
Because 3/5 = 0.6 and 7/10 = 0.7 which mean the total one is more reliable
