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Sloan [31]
2 years ago
12

Y=-x+7

Mathematics
1 answer:
Allisa [31]2 years ago
6 0
Question 1:
y=-x+7
y=2x-2

(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x

y=-x+7
y=-(3)+7
y=4

Question 2:
y-1=2x
y+2x=5

y-1=2x
y-1+1=2x+1
y=2x

(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1

y-1=2(1)
y-1+1=2+1
y=3

Answer: x=1 y=3

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<h2><u>Answer:</u></h2>

Jared and Pedro walked a total of <u>4.3 miles</u>

<h2><u>Step-by-step explanation:</u></h2>
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        <em>(multiply both sides by time)</em>

<em>         </em><u>Distance = Speed × Time</u>

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Answer:

P(32

And we can find this probability with this difference:

P(-1.905

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.905

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 costs of services of a population, and for this case we know the distribution for X is given by:

X \sim N(72,21)  

Where \mu=72 and \sigma=21

We are interested on this probability

P(32

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(32

And we can find this probability with this difference:

P(-1.905

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.905

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