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4 years ago

Simplify (6^-4)^6 Please help me

Mathematics

1 answer:

shutvik [7]4 years ago

7 0

Answer:

6^ -24

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

(6^-4)^6 = 6^ (-4*6) = 6^ -24

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Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll

Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

$P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...$

$P(X = x) = 0$ otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

$P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)$

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0

3 years ago

. Sara teaches aerobics classes as a part-time job. The amount of money she earned is shown in the table below. Based on the inf

nikitadnepr [17]

Answer:

She should earn 225 dollars.

Step-by-step explanation:

I know this because 50 ÷ 4 = 12.5 and 12.5 × 18 = 225.

3 0

3 years ago

Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o

ivolga24 [154]

$\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}$

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element? well, 5*4/2
how did we get 10 for the fourth element? well, 10*2/4

$\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
3&+6&(2x)^2(-3y)^2\\
4&+4&(2x)^1(-3y)^3\\
5&+1&(2x)^0(-3y)^4
\end{array}$

$\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}$

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶

7 0

3 years ago

Read 2 more answers

What are all numbers proportional to 20/5

maks197457 [2]

Answer: 100/25 and 4/1 and 60/15

Step-by-step explanation:

20/5=4, 100/25=4, 4/1=4, and 60/15=4

8 0

4 years ago

A= 5,000 (1+.002*10)

Aneli [31]