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alukav5142 [94]
3 years ago
9

4 consecutive numbers that add up to 8

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer:

The answer top your question is: 1/2, 3/2, 5/2 and 7/2

Step-by-step explanation:

Data

4 consecutive numbers that add up to 8

First number = n

2nd number = n + 1

3rd number = n + 2

4th number = n + 3

Now, add them up           n + n + 1 + n + 2 + n + 3 = 8        

                                                                                          Simplify like terms

                                         4n + 6 = 8

                                         4n = 8 - 6

                                         4n = 2

                                         n = 2/4 = 1/2

First number = n         = 1/2

2nd number = n + 1    = 1/2 + 1 = 3/2

3rd number = n + 2    = 1/2 + 2 = 5/2

4th number = n + 3    = 1/2 + 3 = 7/2

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\text{The sum of } 1\frac{7}{10}  \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}

<em><u>Solution:</u></em>

Given that we have to find the sum of 1\frac{7}{10} \text{ and } 3\frac{3}{5}

<em><u>Let us first convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}

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1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}

Make the denominators same

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}

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\frac{53}{10} = 5\frac{3}{10}

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The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf f(x) 5 5 3 2 ? 1 x2 1
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The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.

<h3>What is a density function?</h3>

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