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allochka39001 [22]
3 years ago
7

Help pls where do I move each number to

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

9514 1404 393

Answer:

  4(3x +8)

Step-by-step explanation:

You are being asked to factor 4 from each of the terms of the expression and use the distributive property to show the result.

  12x +32

  = 4(3x) +4(8)

  = 4(3x +8)

The numbers that go in the boxes, left to right, are ...

  4, 3, 8

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mariarad [96]
A.
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.

b.
x - 2 + x + x + 2 = 42

c.
x - 2 + x + x + 2 = 42

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x + 2 = 14 + 2 = 16

The ages of the sisters are 12, 14, 16.
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2 years ago
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

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We have to find X when Z = 3. So

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

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

X - 400 = 3*60

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The data item is X = 580

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