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2 years ago

Kenji had 1/4 of a pizza left over. He ate 1/2 of the leftovers. How much of a pizza did he eat?

Mathematics

2 answers:

german2 years ago

3 0

Answer:

1/8

Step-by-step explanation: 2/8=1/4

Afina-wow [57]2 years ago

3 0

If Kenji has 1/4 left over pizza and it’s eats half of it, then he ate 1/8.

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If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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 for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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3 years ago

Read 2 more answers

HELPPP DUE IN 10 more min PlEaSe NO LINKS!

kap26 [50]

9-4 and 9+(-4) I believe

7 0

2 years ago

Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days?

mylen [45]

18/2=x/30
2x = 18 x 30
2x = 540
x = 270

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3 years ago

801,504 round to the nearest thousand

Gelneren [198K]

Answer:

802,000

Step-by-step explanation:

The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.

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nika2105 [10]

Answer:

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Step-by-step explanation:

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