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lilavasa [31]
3 years ago
11

H (-8, -2)

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
3 0

Answer:

y = 23x + 182

Step-by-step explanation:

m = 23 (parallel line has same gradient)

y = 23x + c

H(-8,-2)

-2 = 23(-8) + c

c = 182

y = 23x + 182

(Correct me if i am wrong)

MAVERICK [17]3 years ago
3 0
It would be 23x+182

First, you would just keep the same slope since it’s parallel. Then, plug in the x and y values and solve for the y intercept
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saw5 [17]
(3,-2) is the vertex
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Find the equation of the line shown
Finger [1]

Answer:

y=x+1

Step-by-step explanation:

As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.

Plug the variables into this formula: y=mx+b, then you will get y=x+1.

3 0
3 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

4 0
3 years ago
What is 1/2 + 4/3 + 3/2 + 4/3 + 10/6 = ??<br> (they are fractions)
Jet001 [13]

6 and 1/3 or 19/3 or if you need the decimal 6.3 repeating

4 0
2 years ago
Read 2 more answers
School a has 450 seniors, and 432 of them go to college. School B has 380 seniors, and 361 of them plan to go to college. In whi
Natasha_Volkova [10]

Answer:

School A.

Step-by-step explanation:

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= 96%.

School B:  % who plan to go to college = (361/380) * 100

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5 0
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