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denis23 [38]
3 years ago
14

Solve the following for y: −6x + 2y = 8

Mathematics
2 answers:
TEA [102]3 years ago
8 0

Answer:

y = 3x+4

Step-by-step explanation:

−6x + 2y = 8

To solve for y we need to get y alone

To isolate 2y we eliminagte -6x, add 6x on both sides

−6x+6x + 2y = 8+6x

2y = 6x+8

To get y alone , we need to eliminate 2 from y

Divide both sides by 2

y = 3x+4

Masteriza [31]3 years ago
6 0
-6x + 2y = 8
isolate the y
first add 6x to both sides
2y = 6x + 8 
then divide everything by 2 to isolate the y
y = 3x + 4

Hope this helps
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A spheres radius is multiplied by 2. How is it’s surface area affected
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Answer:

The surface area is multiplied by 3.

Step-by-step explanation:

If r is the radius of a sphere its surface area = 4(pi)r^2. If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2. So the surface area becomes 4-fold or the increase in surface area is 300%.

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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
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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

3 0
3 years ago
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matrenka [14]

Answer:

10

Step-by-step explanation:

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Answer:

The expected values from the product of 2 marbles are 1,2,3,4,5,6,8,10,12,15,20

Step-by-step explanation:

THe expected values are 1,2,3,4,5,6,8,10,12,15,20

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3 years ago
-5(3e - 2) &lt; - 2(6e + 7)
krok68 [10]
This is false, -5(3e-2) is not less than -2(6e+7) 
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