Answer:
D. Reflect across the x-axis, then shift 4 units up
Step-by-step explanation:
In this case, reflecting across the x-axis just means going 4 units down. To go back up, go 4 units up.
Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
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<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
Answer:
12 times
Step-by-step explanation:
Answer:
C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.
Step-by-step explanation:
See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.
The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.
