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Marat540 [252]
3 years ago
11

Use a common denominator to find negative 2/3 plus negative 4/5

Mathematics
2 answers:
leonid [27]3 years ago
5 0
-10/15 + -12/15 = -1 6/15. -2/3 becomes -10/15 when multiplied by 5. -4/5 becomes -12/15 when multiplied by 3.
SIZIF [17.4K]3 years ago
4 0

answer:

\frac{22}{15} or 1 \frac{7}{15}

step-by-step explanation:

a common denominator between 3 and 5 is 15

first to get our denominator in the fraction \frac{2}{3} to 15 we need to multiply by 5 so 2 × 5 = 10 and 3 × 5 = 15

this makes our new fraction \frac{10}{15}

now we need to get our denominator in the fraction \frac{4}{5} to 15 so we need to multiply by 3 so 4 × 3 = 12 and 5 × 3 = 12

this makes our new fraction \frac{12}{15}

our new equation with common denominators is now \frac{10}{15} + \frac{12}{15} = coming out to be \frac{22}{15}

to make this into a mixed fraction we know 22 only goes into 15 once with 7 left over so our mixed fraction is 1 \frac{7}{15}

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What is this answer. 7/b - 3/b
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Answer:

4/b

Step-by-step explanation:

7/b - 3/b

Since the denominators are the same, we can subtract

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Step-by-step explanation:

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7 0
3 years ago
A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour
miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use 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.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

\mu = 600, \sigma = 50

Which of the following conclusions is the most appropriate given this information?

Lasted 400 hours, so X = 400.

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

Z = \frac{400 - 600}{50}

Z = -4

4 standard deviations from the mean, so unlikely.

So the correct answer is:

A. Your battery is likely defective since such poor performance is extremely unlikely.

3 0
3 years ago
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