X is the midpoint of line vw. Complete the proof that triangle UVX is congruent to triangle UWX

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

5. Is the reflection property

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$\frac{72}{462}$ or $\frac{12}{77}$ (simplified)

Step-by-step explanation:

Based on the information provided within the question it can be said that in order to calculate the probability of both grapes being green we need to find the probability of each grape being green separately and then multiply those probabilities together

In the first choice, there are a total of 22 grapes (9+13), 9 of which are green. Therefore the probability of the first chosen grape being green is $\frac{9}{22}$

In the second choice,since we removed one grape there is now a total of 21 grapes (22-1), 8 of which are green. Therefore the probability of the second chosen grape being green is $\frac{8}{21}$

Now we multiply both probabilities together to calculate the probability that both grapes are green in a sequence.

$\frac{9}{22} * \frac{8}{21} = \frac{72}{462} or \frac{12}{77}$

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Step-by-step explanation:

Given: The function $h(t)=-36t^2+288t+9$ can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.