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tiny-mole [99]
3 years ago
8

Find the slope of the line graphed below.

Mathematics
2 answers:
natulia [17]3 years ago
6 0
Good day ^-^///////////

natali 33 [55]3 years ago
4 0

Answer:

The slope of this line would be 5/3

Step-by-step explanation:

In order to find the slope of the line, you need to select two points that are on the line. For the purpose of this we'll use (-3, 0) and (5, 0). Then we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(0 - -3)

m = 5/3

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Find x- the length of the hypotenuse of the triangle
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X= 7

Step-by-step explanation:

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Whoever gives me the correct answer to this will get a brainlest <br> I need the answer ASAP!
Amiraneli [1.4K]

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2 years ago
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys
Luba_88 [7]

Answer:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

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

X \sim N(470,60)  

Where \mu=470 and \sigma=60

NOTE: For this case the fastest 10% is on the lower tail of the distribution

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would  earn a certificate of recognition from the fitness association

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3 years ago
What is the rate of change for 1
SashulF [63]

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.

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