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vodka [1.7K]
3 years ago
13

During an experiment, some water was removed from each of the 6 water tanks. If the standard deviation of the volumes of water i

n the tanks at the beginning of the experiment was 10 gallons, what was the standard deviation of the volumes of water in the tanks at the end of the experiment?
(1) For each tank, 30% of the volume of water that was in the tank at the beginning of the experiment was removed during the experiment.
(2) The average (arithmetic mean) volume of water in the tanks at the end of the experiment was 63 gallons.
Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

First statement is correct.

Step-by-step explanation:

If we add or subtract a constant to each term in a set:  Mean will increase or decrease by the same constant.  Standard Deviation will not change.

If we increase or decrease each term in a set by the same percent (multiply all terms by the constant):  Mean will increase or decrease by the same percent.  Standard Deviation will increase or decrease by the same percent.

For example:

Standard Deviation of a set: {1,1,4} will be the same as that of {5,5,8} as second set is obtained by adding 4 to each term of the first set.

That's because Standard Deviation shows how much variation there is from the mean. And when adding or subtracting a constant to each term we are shifting the mean of the set by this constant (mean will increase or decrease by the same constant) but the variation from the mean remains the same as all terms are also shifted by the same constant.

So according to this rule, statement (1) is sufficient to get new Standard Deviation, it'll be 30% less than the old.. As for statement (2) it's clearly insufficient as knowing mean gives us no help in getting new Standard Deviation.

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Given the function:

f(x)=2^x

The function can also be written as:

y=2^x

The range of the function will be all set of y values.

To find the range, let's graph the function below.

We have:

From the graph above, all possibe y values range from 0 to infinity.

Therefore, the range of the function is from zero infinity.

In interval notation:

Range = (0, +∞)

ANSWER:

4. (0, +∞)

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1 year ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite
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b = -a

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The sum of additive inverses is zero.

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Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing
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6 0
2 years ago
Extra POINTS Lila made 98 phone calls in 3 months. In the first month she made 34 calls, and in the second month she made 42 cal
Rzqust [24]

Answer:

A. 22

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6 0
3 years ago
A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove
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<u>Answer:</u>

The amount lost over the 3 years s 2567.25£  

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

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Since the value is depreciated 5% every year for 3 years,

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Substituting these values in formula, we get

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3 years ago
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