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Ostrovityanka [42]
3 years ago
9

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F

ind the probability that at least one egg is cracked. Write the entire decimal answer.
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

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Bezzdna [24]

Answer:

<em>Answer: D. Jake paid his loan in 12 months</em>

Step-by-step explanation:

Jake took out an interest-free loan of $2,401.56 from the bank to buy a car.

Since he has to pay no interest for the loan, the monthly payments are totally used to cover the amount of the loan.

He paid the bank $200.13 each month, thus the total months needed to pay the loan is:

\frac{\$2,401.56 }{\$200.13}=12

Answer: D. Jake paid his loan in 12 months

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3 years ago
steven wants to buy a 495 steven has no money saved,but will be able to deposit 40 into a savings account when he receives his p
Alexeev081 [22]

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

Hope this helps and pls mark as brainliest :)

7 0
3 years ago
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(b) For a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each bag w
jolli1 [7]
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<span>9 tickets and 6 posters in each bag.</span>
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3 years ago
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
alukav5142 [94]

Answer:

x=5

Step-by-step explanation:

im so bad at explaining things but i hope this helped

3 0
3 years ago
7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) <br>​
serious [3.7K]

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

7 0
2 years ago
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