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MAXImum [283]
3 years ago
14

Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 1/2 times its abscissa.

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = -\frac{2}{5} x + \frac{19}{5}

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

3 = -\frac{2}{5} (2) + \frac{19}{5}

3 = -\frac{4}{5} + \frac{19}{5}

3 = 15/5

3 = 3

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How would the decimal point move to solve the equation 729 ÷ 101 = ________?
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Step-by-step explanation:

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Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a
notsponge [240]

Answer:

z=0.842

And if we solve for a we got

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

X \sim N(\mu,3)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>13.16)=0.20   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.842

And if we solve for a we got

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3 years ago
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HW HELP ASAP PLZZZZZZ
astraxan [27]
Graph 2 should be right because it moves up 1 because of the +1 that is in the parentheses.
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