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Dovator [93]
3 years ago
9

What is the range for this set of data?

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

What data set?

Step-by-step explanation:

I would help you only if you put the data set tho.

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In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

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 = 210, \sigma = 25

a) Find the z-score of John who scored 190

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

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

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

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

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

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

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When n=1 there is 1 dot. when n=2 there are 3 dots, when n=3 there are 6 dots. notice that the total number of dots increases by
gayaneshka [121]

Answer:

<h3>Part A</h3>
  • d(n) = n(n + 1)/2
  • n = 1 ⇒ d(1) = 1(1 + 1)/2 = 2/2 = 1, proved
<h3>Part B</h3>
  • d(k) + (k + 1) =
  • k(k + 1)/2 + (k + 1) =
  • [k(k + 1) + 2(k + 1)]/2 =
  • [(k + 1)(k + 1 + 1)]/2 =
  • d(k + 1)
  • Proved

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Help with his long question
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4x³=756
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x=3 ³√7 should be acceptable
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