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lozanna [386]
3 years ago
14

!!!!!!NEED URGENT HELP!!!!! Solve the following equation for x: 2x - 3y = 6.

Mathematics
2 answers:
Blababa [14]3 years ago
7 0

Answer:

2x - 3y = 6.

2x = 6 +3y

2x = 3 (2+y)

x =( 3 (2+y))/2 or (6 +3y)/2

so divide (6 +3y)/2 seperately

6/2 + 3y/2 = x

3 + 3y/2 = x

x = 3y/2 +3

x = 3/2y + 3

so the answer is A

pashok25 [27]3 years ago
5 0

Let's answer for x.

2x−3y=6

Step 1: Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Step 2: Divide both sides by 2.

x=3/2y+3.

So, A: x=3/2y+3 is correct. Now this is a graphing problem. Make sure to graph it correct.

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Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a
shepuryov [24]

Answer:

a) P(X

And we can find this probability using the normal standard table or excel:

P(z

b) P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.2)=1-P(Z

c) z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2

z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2

And we can find this probability with this difference:

P(-2

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the life of a particular brand of a population, and for this case we know the distribution for X is given by:

X \sim N(75,10)  

Where \mu=75 and \sigma=10

Part a

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(z

Part b

P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.2)=1-P(Z

Part c

For this case we select a sample size of n =16. and we want this probability:

P(70 < \bar X

We know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we can find the z scores for the limits like this:

z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2

z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2

And we can find this probability with this difference:

P(-2

6 0
3 years ago
Can I get some help?
Anon25 [30]

Answer:

Step-by-step explanation:

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Math multiple choice
eduard

Answer:

D: It did not rain exactly 6.0 inches during a single month in either city

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A mountain climber ascends hundred feet per hour from his original position. after six hours is fine opposition is 11,600 feet a
Evgen [1.6K]

Answer:

Original position =6,800 feet.

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Step-by-step explanation:

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Answer:

a≤4

Step-by-step explanation:

-4a≥-16

/-4    /-4

a≤4

The equality sign switches when divided by a negative, like in this scenario.

-hope it helps

8 0
2 years ago
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