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3 years ago

Write a real world situation that could be modeled by the equation 30x=48+22x

1 answer:

5 0

For this case we have the following equation:
30x = 48 + 22x
An example of real life is:
"Laura earns $ 30 per hour at her job, Maria earns 22 dollars per hour at her job plus 48 $ of fixed salary, find the number of hours for which both get the same profit"
In the given equation,
x: represents the time in hours.

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Simplify. 14a^2bc^4/21abc^6

kramer

14a^2bc^4/21abc^6 = 2a/3b^2

7 0

3 years ago

Read 2 more answers

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

Read 2 more answers

What is the simplified form of the expression? 2√18-5√32

Sloan [31]

The answer would be -14<span>√2 or the decimal form is 19.79898987...</span>

7 0

3 years ago

a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti

ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

7 0

3 years ago

Paula’s entire family came to her birthday party. There were 17 people there. Paula’s parents bought enough mini-sandwiches for

djverab [1.8K]

Answer:

102

Step-by-step explanation:

Paula's parents bought 102 mini-sandwiches. When I multiplied 17 by 6, I got 102. To check my answer, I divided 102 by 6 and got 17.

17x6=102

102/6=17

Hope this helps:)

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3 0

2 years ago