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Basile [38]
3 years ago
9

What would the bottles purchased be and what would the bottles recycled be?

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Part A

Your problem statement already shows you the conversion.

Bottles purchased: 5×10¹⁰

Bottles recycled: 8.3×10⁹

Part B

The ratio of bottles purchased to bottles recycled is

... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0

The number of bottles purchased is 6 times the number of bottles recycle.

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4/23+square root of 11
creativ13 [48]
The answer i got is 3.5 rounded 
4 0
3 years ago
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<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.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

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

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

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

#SPJ1

5 0
2 years ago
HELP !!!<br> What is the center of the circle? A. (-2,0) B. (3,-1) C. (-3,4) D. (2,-5)
vovangra [49]

Answer:

3, -1

Step-by-step explanation:

because that is the point that is at the center :)

8 0
3 years ago
Find the value of each of the following
Mandarinka [93]

Answer: C

Step-by-step explanation:

8 0
3 years ago
Find the quadratic function ..<br><br> 3x2 - y2 = 9<br><br> x2 + 2y2 = 38
ruslelena [56]

Answer:

Step-by-step explanation:

3x2 - y2 = 9.........(1)

x2 + 2y2 = 38......(2)

Let x^2 = a and y^2 = b

:- the two equations becomes

3a - b = 9..........(3)

a + 2b = 38.......(4)

Multiplying (4) by 3

3a + 6b = 114........(5)

Substracting (3) from (5)

3a - 3a + 6b - (-b) = 114 - 9

6b +b = 105

7b = 105

b = 105/7

b = 15

And 3a - b = 9 putting b = 15

3a - 15 = 9

3a = 15+9

3a = 24

a = 24/3

a = 8

And

x^2 = a

x^2 = 8

x = √8

x = √(4×2)

x = 2√2

Also y^2 = b

y^2 = 15

y = √15

6 0
3 years ago
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