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Nostrana [21]
3 years ago
6

Which graph represents the piecewise-defined function?

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

1st one

I saw it on google.

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What is the value of five in 3156
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A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
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Answer:

A person must get an IQ score of at least 138.885 to qualify.

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:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

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

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

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A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a
Blizzard [7]

Answer:

\frac{25}{64}

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}

3 0
3 years ago
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