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2 years ago

Which expression is equivalent to Assume x > 0 and y 0.

Mathematics

2 answers:

Wittaler [7]2 years ago

4 0

The answer is radical 5 over x^2 y

Svetach [21]2 years ago

3 0

we have

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}$

we know that

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}$

therefore

<u>the answer is</u>

The expression equivalent is $\frac{\sqrt{5}}{x^{2} y}$

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Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

Please determine if the relationship is linear, exponential, or quadratic. justify your answer.

r-ruslan [8.4K]

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

3 0

2 years ago

Write 7 x 10^-3<br> in standard notation.

VashaNatasha [74]

Answer:

0.007

Step-by-step explanation:

A negative notation starts with 0's from the left.

count 3 places before the 7, that is where my point is.

I am pretty sure of my explanation but the answer is correct.

5 0

2 years ago

The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.

AlexFokin [52]

Perimeter = (length+width) x 2

Let w units be the width of the rectangle.

Length of the rectangle = 2w

Perimeter:
(2w+w) x 2 = 60

(3w)2 = 60

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= 200 units

4 0

2 years ago

Which expression is equivalent to negative 32 5/3?

Sloan [31]

Im confused. Its not equal to any of the choices

Unless C is the cube root of 32^5.

[t3] \sqrt[n]{x} [32^5]

6 0

2 years ago