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Lostsunrise [7]
3 years ago
11

I need someone to figure out these two problems please

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

assuming all the cut off squares are exactly one half (because that wasn't specified) 1 is 33 and 2 is 19

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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

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

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

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3 years ago
The sum of half a number and two-thirds of the number is less than 14
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Step-by-step explanation:

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Step 1:
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Step 2:
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Step 3:
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The large triangle is 3 times the size of the similar smaller triangle, so
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