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3 years ago

-1 3/5 divided by (-2/3) write as mixed number

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

Step-by-step explanation:

$- 1 \frac{3}{5} \div \frac{ - 2}{3}$

Convert the mixed numbers above to improper fractions. Thus:

$\frac{ - 8}{5} \div \frac{ - 2}{3}$

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

$\frac{ - 8}{5} \times \frac{ - 3}{2}$

$\frac{ - 8 \times - 3}{5 \times 2}$

$= \frac{24}{10}$

$= 2 \frac{4}{10}$

$= 2 \frac{2}{5}$

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3 years ago

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Artemon [7]

Answer: The image of the completed table is shown below

In the completed table, we have the following values (left to right)

Row One: 30, 10, 40
Row Two: 15, 45, 60
Row Three: 45, 55, 100

==============================================

Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

Then we're further told that "Of the people who use mouthwash, 30 people use floss", so we'll write "30" in the first row, first column blank space. These are the people who both floss and use mouthwash. Because earlier we know 40 people use mouthwash overall, this leaves 40-30 = 10 people who use mouthwash, but they don't floss.

To summarize so far: In row 1, we have the following values from left to right: 30, 10, 40

The first two items of this row must add to the last item.

---------------------

Now onto row 2

Since 40 people use mouthwash, and 100 people were surveyed, this means that 100-40 = 60 people do not use mouthwash. The value 60 goes at the very end of row 2. This represents another total.

Like earlier, the first two items must add to the last. So 40+60 = 100.

Now turn to the fact that "45 people responded that they don't floss and don't use mouthwash". This tells us that "45" will be in the "no mouthwash" row and "don't floss" column.

We have 60 people who don't use mouthwash, and 45 of those people also don't floss. Therefore, 60-45 = 15 people do floss but they don't use mouthwash. We'll write "15" in the second row, first column.

Along row 2, we have the following values: 15, 45, 60

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Row 3

For each column, add up the first two items to get the third one. This will lead to the totals along this bottom row.

Floss: 30+15 = 45
Don't Floss: 10+45 = 55 .... note how this matches up with the third piece of information your teacher provided

The third column is already done, but again we can see that 40+60 = 100.

Furthermore, the first two items of the third row add to 45+55 = 100 which helps confirm our answers.

The full completed table is shown below.

------------------------

To summarize, we are effectively just sorting the values given to us to write them into the table. Then we use a bit of algebraic detective work to find out what values are missing so we fill out the completed table.

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2 years ago

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3 years ago

The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees. One year, th

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Answer:

The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.

Step-by-step explanation:

Z-score:

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.

If $|Z| > 2$ , the measure X is significantly high(Z > 2) or significantly low(Z < -2).