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3 years ago

Which is the correct classification of Sqrt of 18 ?

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

The square root of 18 is 4.24

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The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the

Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

a +b +c = 26
2a -b = c -2
-3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0

3 years ago

From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is

Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean $\overline x$ = 56

The formula for calculating the standard error can be expressed as:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

$S.E = \dfrac{14}{\sqrt{49}}$

$S.E = \dfrac{14}{7}$

S.E = 2

Therefore, the standard error of the mean = 2

4 0

3 years ago

Sixty-three less than 15 times a number is 72. what is the number?

exis [7]

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

7 0

3 years ago

Read 2 more answers

Solve for x. a.5, b. c.9 d.10

Liula [17]

Your proportion should look something like this

$\frac{x}{6} = \frac{6}{4}$

After cross multiplication, you should end up with this equation

$4x=36$

After dividing 4 on both sides, you should get that x=9

6 0

3 years ago

Read 2 more answers

What a circumference of a circle that's radius is 22

Advocard [28]

Circumference formula is 2pir so 2(3.14)(22) is 138.16

8 0

3 years ago