Sabrina was able to map circle P onto circle R (with Q and S being on each circle, respectively) using a translation and a dilat
ion.
Sabrina concluded: "I was able to map circle P onto circle R using a sequence of rigid transformations and a dilation, so the figures are similar."
What error did Sabrina make in her conclusion?
A. Sabrina used a translation, so the circles aren't similar.
B. Sabrina used a dilation, so the circles aren't similar.
C. There is no error. This is a correct conclusion.
Sabrina concluded: "I was able to map circle P onto circle R using a sequence of rigid transformations and a dilation, so the figures are similar."
What error did Sabrina make in her conclusion?
A. Sabrina used a translation, so the circles aren't similar.
B. Sabrina used a dilation, so the circles aren't similar.
C. There is no error. This is a correct conclusion.
2 answers:
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Answer: 14
<u>Step-by-step explanation:</u>
f(x) = 3x + 2
To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y
x = 3y + 2
x - 2 = 3y
f(f⁻¹(14)) = f(4)
f(4) = 3(4) + 2
= 12 + 2
= 14
NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14
The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
Read more about expected values at:
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