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JulsSmile [24]
3 years ago
6

Translate the sentence into an equation.

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
5 0

Answer: b/9 + 3 = 7

Step-by-step explanation:

Quotient of 'a number' and 9 is b/9

3 more than that is b/9 + 3

this equals 7, so b/9 + 3 = 7.

marishachu [46]3 years ago
4 0

Answer:

\frac{b}{9} + 3 = 7

Step-by-step explanation:

The phrase "x more than y" indicates addition; x + y.

"Three more than the quotient of a number and 9" would mean that we would have to add 3 to the quotient of the unknown number and 9.

The "quotient of a number and 9" can be written as  \frac{b}{9} .

Finally, we would add "= 7" to the end of the equation to represent "equals 7".


"Three more than the quotient of a number and 9 equals 7" is \frac{b}{9} + 3 = 7.

Hope this helps.

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3.1.3 How far was the hiker at 10:30?
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Answer:

y = 1400 + 5.2x --- Running cost

y = 25 x --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

Salaries = 1400.00

Others = 5.20 per car

Income

Rate = 25.00 per car

Solving (a): Expression for the running cost

This is calculated as:

y = Salary + Others * x

Where

y = Total running cost

x = number of cars

So:

y = 1400 + 5.20 * x

y = 1400 + 5.2x

Solving (b): Expression for monthly income

This is calculated as:

y = Rate * x

Where

y = Total income

x = number of cars

So:

y = 25.00 * x

y = 25 x

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

y = y

25x = 1400 + 5.2x

Collect Like Terms

25x -5.2x= 1400

19.8x= 1400

Solve for x

x = \frac{1400}{19.8}

x = 71

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

y = 25 x

y = 25 * 71

y = 1775

<em>Solving (e): There is no question to answer on the "graph"</em>

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The total cost of attending the movies, y, is directly proportional
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A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before t
aleksklad [387]

Answer:

We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.

Step-by-step explanation:

The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:

IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}

Knowing that t_{0.99,15} = 2.602:

IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516

IC[\mu ; 98\%] = [71.387 ; 126,416]

Note that 102.8 \in [71.384 ; 126.416] so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.

7 0
3 years ago
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