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Lorico [155]
3 years ago
13

Help ,with number 9, please

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
9 is linear. Rearrange to get into standard line format

2x + 3y = 5
3y = -2x + 5
y = -2/3x + 5/3

Now, plot a point at 5/3 on the y axis. Go down 2 and right 3 and put another point
Then draw a line running through both points.
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normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

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

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

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

P(X>a)=0.15   (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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

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=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
3 years ago
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Anton [14]




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3 years ago
Multiply: (-1-3i)(-5 - 4i)
Fantom [35]
The answer is -7+19i because of the procedure used in math
6 0
2 years ago
Chris got 28 out of 35 correct in his test.<br> What fraction of the marks did he get correct?
beks73 [17]

Answer:

4/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s this pls help me !!!!!
DIA [1.3K]

Step-by-step explanation:

hope it's helpful ❤❤❤❤

THANK YOU

4 0
3 years ago
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