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guapka [62]
3 years ago
4

Match the following items. In the figure below, several reflections are illustrated. Note one line of symmetry is m and one is l

. Pay close attention to the line of reflection being indicated by R l and R m.

Mathematics
1 answer:
Liula [17]3 years ago
4 0
R_I
This means that the line of symmetry is line I.

R_m
This means that the line of symmetry is line m.

1. R_I:T
This matches with Q.
In this number, the line of symmetry is I. If you reflect T across line I, you will get point Q. This is because they are right across from each other with line I between them, and they are both the same distance from line I.

2. R_I:S
This matches with S.
Point S lies on the line of symmetry; thus, S reflects itself.

3. R_I:Z
This is similar to number 1. If you reflect Z across line I, you will get point X because they are directly across each other with line I between them and they have the same distance from the line of symmetry.

4. R_m:S
This time, S isn't on the line of symmetry. The line of symmetry is the vertical line m. Point Y matches with point S because they are directly across each other with line m between them. They are also the same distance apart from line m.

5. R_I:B
This is very similar to number 1. This matches with F. The point directly across the line of symmetry is F.

6. R_I:F
This is the exact same as number 5! With the same line of symmetry, B matched with F. Thus, F must match with B!

Here are the matches:
3-X
5-F
6-B
4-Y
1-Q
2-S
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4.75% probability that the battery will last more than 9 hours before running out of power

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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What is the probability that the battery will last more than 9 hours before running out of power g

This is 1 subtracted by the pvalue of Z when X = 9. So

Z = \frac{X - \mu}{\sigma}

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S_A_V [24]

Answer:

b

Step-by-step explanation:

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---------------------------------------------------------------------

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-------------------------------------------------------------

Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h  ' (x) = -10a(-2x+1)^4
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so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0. 
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