Two friends share 1/4 gallon of lemonade equally.what fraction does each friend get

A bottle of window cleaner is $3.99. It is on sale for 10% off and you can save an additional 5% using your credit card. What is

wariber [46]

If I did the math correct, the answer is C: 3.63

8 0

3 years ago

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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

Marta_Voda [28]

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:

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

7 0

3 years ago

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Please help me solve this

stiv31 [10]

Answer:

1/6

Step-by-step explanation:

First you make the denominator on the fractions the same

3 * 2 = 6

Multiply the number the same for the numerator

3 * 1 = 3

so the fraction is 3/6 since 3/6 = 1/2

4/6 - 3/6 = 1/6

she has 1/6 pipe left

6 0

3 years ago

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of t

BARSIC [14]

Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft

Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side

We are given that:
area = 120 ft²

Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft

Hope this helps :)

3 0

3 years ago

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Question 7 of 10

VLD [36.1K]

Answer:

It is increasing

The y-intercept is (0, 3).

The domain of F(x) is all real numbers.

7 0

2 years ago