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Kitty [74]
3 years ago
6

A while back , either James borrowed $12 from his friend Rita or she borrowed $12 from him , but he can’t quite remember which e

ither way he is planning to pay her backs or ask that she pay him back this afternoon of he has $42.80 in his, wallet which equation represents the amount of money he may have after he sees Rita ?
Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

x=42.80±12

Step-by-step explanation:

He knows he is either getting or losing $12

Tema [17]3 years ago
3 0

Answer:

Step-by-step explanation:

He has 42.80

Call x the amount that he will have

If he pays 12 to Rita, x = 42.80 - 12

If he receives 12 from Rita, x = 42.80 + 12

From the first equality

x - 42.8 = -12

From the second equality

x - 42.8 = +12

Then |x - 42.80| = 12

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Natali [406]

Answer:

x = -\frac{41}{19}

y = \frac{7}{19}

Step-by-step explanation:

2x = 10y - 8

3x + 4y + 5 = 0

2x = 10y - 8

x = 5y - 4

3x + 4y + 5 = 0

3 ( 5y - 4 ) + 4y + 5 = 0

19y - 7 = 0

19y = 7

y = \frac{7}{19}

x = 5y - 4

x = 5 ( \frac{7}{19} ) - 4

x = -\frac{41}{19}

5 0
3 years ago
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Andrews [41]
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3 years ago
Read 2 more answers
1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)
Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

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.

X~N(8, 1.5)

This means that \mu = 8, \sigma = 1.5

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

Z = \frac{9.5 - 8}{1.5}

Z = 1

Z = 1 has a p-value of 0.8413.

X = 6.5

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

Z = \frac{6.5 - 8}{1.5}

Z = -1

Z = -1 has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

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3 years ago
Which ordered pair is a solution to the following system of inequalities?
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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