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3 years ago

Simplify the expression. Write the answer using scientific notation.

1 answer:

6 0

The answer is 5.88 x 10^22 because when you move your decimal point (which should be placed in between 5 and 8) to the right it turns 58800000000000 into 5.88. Then you count the numbers after the decimal which gives you 12.
( I’m pretty sure I made no sense, but hopefully it helped !! )

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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

find the equation of the striaght line passing through (3, 3) which is perpendicular to the line y=-1/2x-4

blagie [28]

Answer:

it like the Same question I asked and I told u to draw a graph then solve

5 0

3 years ago

Fill in the blank spaces please.

Kisachek [45]

PART A

If 4 pounds = 10 dollars...

4/2 = 2

10/2 = 5

So for 2 pounds, it would cost $5.00

Now for the 1 pound one

4/1 = 4

10/4 = 2.5

For the 1 pound one, it would cost $2.50

PART B

We know that 4 pounds = 10 bucks

Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, $1 = 0.4lb

Now for the last blank...

Since $1 = 0.4, we multiply that by 9. 0.4 x $9 = 3.6lb

HOPE THIS HELPED

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2 years ago

What is the percent increase in 300 and 375

inysia [295]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Last summer there were 88 players at coach rodriguez basketball camp. this year there are 125% of this number of players. how ma

ludmilkaskok [199]

To determine the number of those who joined the basketball camp this year, we just have to multiply the number of those who joined last year by the decimal equivalent of the percentage given. That is,
x = 88(1.25)
x = 110
Therefore, there are a total of 110 players for this years basketball camp.

6 0

3 years ago