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ratelena [41]
3 years ago
6

Simplify the equation

Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

Answer:

3a

Step-by-step explanation:

9/3 = 3

a^{3}/a^{2} = a^{3 -2} = a

b / b = 1

3 x a x 1 = 3a

valentina_108 [34]3 years ago
5 0

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

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Times -7 by everything in the parentheses. so

-7 times 5y=-35y
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-7 times -5 = 35

therefore 35y+14u+35
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3 years ago
HELP!!!
Bad White [126]
I hope this helps you





-15+6= -9



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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  

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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
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