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3 years ago

How do you know if rational or irrational?

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

Your answer is D

Step-by-step explanation:

Punching in those equations into my calculator, A, B, and C have all come up as non rational, because $\sqrt{11}$ isn't a rational number. It can become rational as soon as you multiply it with another number.

You might be interested in

Which of the following numbers are NOT rational? A)√25 B)18.9238... C)1.323232...

Elena-2011 [213]

Answer:

the answer is a because it has no decimal

it is in square root

4 0

2 years ago

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

anzhelika [568]

Sample standard deviation

Mean of data = 84.4

Calculate deviations from the mean = 23.4, 17.8, 3.4, 1.4, -2.6, -3.6, -4.6, -5.6, -13.6 and -15.6

Squaring these deviations; we get 547.56, 316.84, 11.56, 1.96, 6.76, 12.96, 21.15, 31.36, 184.96, 243.36

Adding these we get 1378.47

As its a sample Std Dev we divide by 10 - 1 = 9. For the popklation Std Dev we divide by the number of scores (10).

Std Deviation for sample = sqrt ( 1378.47 / 9) = 12.4 to nearest tenth (answer)

Population Std Dev = sqrt (1378.47 / 10) = 11.7 answer

Theres a lot of arithmetic there so hope i haven't slipped up anywhere!

6 0

2 years ago

Help me please o(*￣▽￣*)ブ

Vesna [10]

Answer:

Hey there!

Part a) Distance from Wrexham to Oswetry: 15 miles.

Part b) Ruthin to Oswestry: 33 miles.

Total distance travelled for Part b= 33(5), or 165 miles.

6 0

2 years ago

Keep answers as exact as possible (NOT IN TERMS OF PI).

Andreyy89

Answer:

121.9

Step-by-step explanation:

I will use pi but not in the answer

use formula V=πr²h

(π)(3.5²)(5.5)

12.25 × 5.5=67.375 × π=211.6648...

1/2(4/3(π(3.5³))

4/3(42.875)=57.166...× π = 179.59438...

1/2(179.59438...) = 89.79719...

211.6648... - 89.79719... = 121.86761... ≈ 121.9

6 0

2 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

2 years ago