3. Anna has a large bag of coins. After counting the coins, she recorded the counts in the table below. She then decided to draw
some coins at random, replacing each coin before the next draw.QuartersNickelsDimesPennies22271118(a) What is the probability that Anna obtains a quarter on the first draw? (b) What is the probability that Anna obtains a penny or a dime on the second draw? (c) What is the probability that Anna obtains at most 10 cents worth of money on the third draw? (d) What is the probability that Anna does not get a nickel on the fourth draw? (e) What is the probability that Anna obtains at least 10 cents worth of money on the fifth draw?
1 answer:
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<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
For this, we are just going to plug in -9 for every x and then solve the equation:
Now we know that q(-9) is equal to 566.