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o-na [289]
3 years ago
13

Let’s explore a quotient raised to an exponent

Mathematics
2 answers:
irakobra [83]3 years ago
8 0
The answer is 216/y^3
Elena-2011 [213]3 years ago
5 0

You can think of exponents as <em>abbreviations for repeated multiplication</em>. By that definition:

\big(\frac{6}{y}\big) ^3 =\frac{6}{y} \times\frac{6}{y} \times\frac{6}{y}

Which, by the properties of fraction multiplication, is the same thing as

\frac{6\times6\times6}{y\times y\times y}

whiiiich, going back to our abbreviations, is the same thing as

\frac{6^3}{y^3}

And since 6³ = 216, our final simplified answer is

\frac{216}{y^3}

The most important discovery in this problem is the property that

\big( \frac{x}{y}\big)^n=\frac{x^n}{y^n}

You could almost say that the exponent gets "distributed" to the numerator and denominator, and in fact, any exponents will have this property of "distributing" across multiplication or division.

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New codes to destroy the First Order are known to exist. With probability 0.6, the codes are hidden by Leia; with probability 0.
elixir [45]

Answer: (a). 0.62 (b). 0.53

Step-by-step explanation:

Let us start by defining some events seen:

Given;

L rep the event that codes hidden Leia

BB represents the codes hidden in BB-8

H is the event that codes hidden by Hah

C-3PO rep the codes hidden in C3PO

Giving the probabilities, we have that

P(L)  =  probability that codes are hidden by Leia = 0.6

P(H) = probability that codes are hidden by Hah = 0.4

where P(BB/L) = 70/10 i.e 70%

P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10

Also, P(BB/H)  = 1/2 = P(C-3PO/H)

We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO

To begin,

(a). The question tell us to find the probability that the codes are with BB-8.

First of all, we find P(BB).

P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)

solving this we get

P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62

Therefore,  the probability that the codes are with BB-8 = 0.62

(b). The second question says;

Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?

This tell us to find P(H/C-3PO)

P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)

inputting the values gives us;

P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53

SO we have that the probability the codes were hidden by Han Solo = 0.53

cheers I hope this was helpful!!

3 0
3 years ago
PLEASE HELP I WILL MARK BRAINLEST 20 POINTS<br> what would be x in this ordered pair (3 -8)
telo118 [61]

Answer:

3

Step-by-step explanation:

X goes first

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Y=-3/4x+2,  thats the slope intercept form
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Answer:

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