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2 years ago

Which expression is equivalent to 1/√121x^9y^8z^10

Mathematics

1 answer:

sweet [91]2 years ago

7 0

Answer:

1/(11 x^(9/2) y^4 z^5)

sqrt(x)/ 11 x^5 y^4 z^5

Step-by-step explanation:

1/ sqrt(121x^9y^8z^10)

Lets simplify the denominator

sqrt(121x^9y^8z^10)

Break it into pieces

sqrt(121) sqrt(x^9) sqrt(y^8) sqrt(z^10)

11 sqrt (x^8) sqrt(x) y^4 z^5

11 x^4 y^4 z^5 * sqrt(x)

Putting this back in

----------------------------

11 x^4 y^4 z^5 * sqrt(x)

But we dont want a sqrt root in the denominator

Multiply by sqrt(x)/sqrt(x)

sqrt(x)

----------------------------

11 x^4 y^4 z^5 * sqrt(x) sqrt(x)

sqrt(x)

----------------------------

11 x^4 y^4 z^5 * x

sqrt(x)

----------------------------

11 x^5 y^4 z^5

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Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?

guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

= 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0

3 years ago

N/45=1/15 a. n= 1/3 b. n=4 c. n=675 d. n=3

jek_recluse [69]

Answer:

n=3

Step-by-step explanation:

n/45=1/45

cross multiplying

15n=45

n=45/15

n=3

5 0

2 years ago

Use the data set to answer the question. {22,26,28,35,45,63,91} What is the mean absolute deviation (MAD) of the data set? Enter

shtirl [24]

Answer:

mean absolute deviation is 18.85

Step-by-step explanation:

Step 1:-

Given observation values 22,26,28,35,45,63,91

$mean (x ) = \frac{22+26+28+35+45+63+91}{7}$

mean = 44.28≅ 44

Step2:-

The deviations of the respective observations from the mean (x)

That is $x_{i}-x$

22-44, 26-44,28-44,35-44,45-44,63-44,91-44

-22, -18 ,-16 ,-9, 1, 19, 47

Step 3:-

The absolute values of the given data

$x_{i}-x$

modulus of all these values

22,18,16,9.1,19,47

Step 4:-

Mean absolute deviation M.D=∑ $\frac{x_{i} - x }{n}$

$MAD = \frac{22+18+16+9+1+19+47}{7}$

on simplification we get mean absolute deviation is 18.85

6 0

2 years ago

WHY IS STEPHAN WRONG?? PLEASE EXPLAIN WHY AND THE CORRECT ANSWER. was meant to be done 2 months ago

Shtirlitz [24]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the area of the shaded triangle?

Sergeu [11.5K]

Answer:

72mm^2 (72 mm squared)

Step-by-step explanation:

so i would work out the little triangle which is 8x6/2=24mm^2

then do 24x8/2 which is 96mm^2

then take away 24 from 96 which gives the answer of 72mm^2

8 0

3 years ago