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Paraphin [41]
3 years ago
13

I need help with this and 2 mkre problems ​

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

  • C)  (x, y) ⇒ (-x, y)
  • D)  (x, y) ⇒ (x, y+4)

Step-by-step explanation:

ΔDEF is a reflection and translation of ΔABC.

You know it is a reflection because the corresponding vertices have opposite orientations: CCW vs. CW. You know it is a horizontal reflection because the line EF corresponding to vertical line BC is still vertical.

You know a vertical translation is involved because corresponding vertices are all offset vertically from each other by the same amount (4 units).

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3/8 is bigger than 3/10. In maths 10ths are smaller than 8ths. If both have three parts it means that 3/8 must be bigger
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The output from a statistical computer program indicates that the mean and standard deviation of a data set consisting of 200 me
lesya [120]

Answer:

The limit that 97.5% of the data points will be above is $912.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

\mu = 1500, \sigma = 300

Find the limit that 97.5% of the data points will be above.

This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.

So

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

-1.96 = \frac{X - 1500}{300}

X - 1500 = -1.96*300

X = 912

The limit that 97.5% of the data points will be above is $912.

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