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Marianna [84]
4 years ago
12

What is the...

Mathematics
1 answer:
pochemuha4 years ago
4 0
To solve problems like these, we simply need to break down the words and form the equation.

In this case, we start off with "The quotient," so we know we are talking about division. Next, we see "of 24 and," which means it has to be "24/ something."

24/

Finally, for this one, we see "twice a number." Number almost always means the variable (n), while twice means 2. This gives us 2n.

24/2n

Using the reasoning above, we can see that the first problem could be represented by 24/2n.

For the second problem, we can use the same reasoning on different values. We start off with "4 times," which can be represented as 4*.

4*

Next, we have "a number," which as stated previously, is almost always our variable (n).

4*n OR 4n

Finally, we have "decreased by two." Decreased generally refers to subtraction, while 2 is the value we are subtracting.

4n-2

Using the reasoning above, we can see the equation to represent the second problem is 4n-2. 
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how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extr
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Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

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Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L

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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance
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Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

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Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

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