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2 years ago

SIMPLIFY IT PHOTO IS UP I WILL MARK IT BRAINLIEST

Mathematics

2 answers:

notka56 [123]2 years ago

8 0

Answer:

(9y²-4xy+4x²/9)/(3y-2x/3)

={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)

=(3y-2x/3)²/(3y-2x/3)

=(3y-2x/3)

<h3>(3y-2x/3) is the right answer.</h3>

konstantin123 [22]2 years ago

3 0

Step-by-step explanation:

Notice that

9y² - 4xy + 4x²/9 = (3y - 2x/3)².

Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)

= (3y - 2x/3).

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At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago

Nickel-63 has half-life of about 96 years. after 336 years,about how many milligrams of an 800 mg sample will remain?

vagabundo [1.1K]

F=ar^t if the half-life is 96 years...

.5=r^96

ln(.5)=96lnr

ln(.5)/96=lnr

r=e^((ln.5)/96)

f=800e^(336(ln.5)/96)

f=70.71

So about 71mg will remain after 336 years.

5 0

3 years ago

Read 2 more answers

Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed

pickupchik [31]

If you would like to know how many feet of fencing does Laurel need in all, you can calculate this using the following steps:

square garden: 4 * 50 feet = 200 feet
3 square rose beds: 3 * 10.5 feet * 4 = 12 * 10.5 feet = 126 feet

200 feet + 126 feet = 326 feet

Laurel will need 326 feet of fencing.

7 0

3 years ago

Zoe went on a shopping trip to Fairfax. She purchased a barbecue grill originally priced at $600 but discounted 50%. If sales ta

sergey [27]

Answer:

The total cost is $345

Step-by-step explanation:

Zoe purchased a barbecue grill originally priced at $600

Discount % = 50%

So, cost after discount = $600-50\%(600)$

Cost after discount =300

Sales tax in Fairfax is 15%

So, cost including tax = 300+0.15(300)

Cost including tax = 345

Hence The total cost is $345

6 0

3 years ago

What is the base of the expression 1113?<br> 3<br> 11<br> 12<br> 21

Yakvenalex [24]

Answer:

Step-by-step explanation:

I just guessed 7 and believe me its right

4 0

3 years ago