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3 years ago

13

PLZ HELP ASAP!!!!! FIRST PERSON TO ANSWER WILL GET BRAINLIEST!!!!!

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

y+2x=8 y=1/2x+2 2y=4-x

Step-by-step explanation:

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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

#SPJ1

7 0

2 years ago

Jake is going to the store to buy candles. Small candles cost $3.50 and

Tanzania [10]

Answer:

Let

S= #small candles

L= #Large candles

S+ L =>20

3.50S + 5.00L < 80

Step-by-step explanation:

3 0

3 years ago

81.098 rounded to hundredths

pantera1 [17]

The answer is 81.1 because since the 9 place value above 5, you round the number in front of it to 1. so the answer is 81.1. I hope that helps.

3 0

3 years ago

Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?

givi [52]

Answer:

<em>$2.29/gal</em>

Step-by-step explanation:

The unit price is in units of cost per volume, or dollars per gallon, so you divide the cost in dollars by the volume in gallons.

unit rate = ($18.32)/(8 gal) = $2.29/gal

7 0

3 years ago

The Maximus Electric Company will increase employee's yearly wages by 2.5% next year. An employee whose

Mamont248 [21]

Answer:

46,125

Step-by-step explanation:

2.5% = .025

45,000 * .025 = 1,125

45,000 + 1,125 = 46,125

4 0

3 years ago