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marshall27 [118]
3 years ago
10

If the average of three numbers is V if one number is Z and another is y what is the remaining number ?

Mathematics
1 answer:
user100 [1]3 years ago
6 0
The formula for an average of three numbers is (x+y+z)/3.  So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x.  We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x

x = 3V - y - z
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During an experiment, some water was removed from each of the 6 water tanks. If the standard deviation of the volumes of water i
Julli [10]

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.

6 0
3 years ago
Give the equation of the circle centered at the origin and passing through the point (0,5)
Julli [10]

Answer:

x^{2} +y^{2}=25

Step-by-step explanation

The standard equation of a circle centered at origin is  x^{2} +y^{2} =r^{2}

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius  r=\sqrt{(0-0)^{2}+(5-0)^{2} }

               r=\sqrt{0+25}

               r=\sqrt{25}

               r^{2}=25

∴ The equation of the circle is

     x^{2} +y^{2} = 25

5 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8 ?
ella [17]
387 

Hope this helped!!!!!
3 0
3 years ago
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A 4.3 ounce tomato has about 24 calories. How many calories are in one ounce?
solniwko [45]

there are 7.8 calories in a ounce tomato


3 0
3 years ago
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PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.
Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It is the slope of the line and (x_ {0}, y_ {0})is a point through which the line passes.

We have the following equation of the slope-intersection form:

y = 4x + 1

Where the slope is m = 4

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}

Thus, the equation will be of the form:

y-y_ {0} = - \frac {1} {4} (x-x_ {0})

Finally we substitute the given point and we have:

y-3 = - \frac {1} {4} (x-6)

Answer:

Option B

8 0
3 years ago
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