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Sergeu [11.5K]
3 years ago
8

Given:

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

Answer:

<em>Vertical angles are equal</em>

Step-by-step explanation:

just did this assignment :)

astraxan [27]3 years ago
5 0

The answer is Vertical angles are equal.

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the answer is to add up all the numbers.

Step-by-step explanation:

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Y + y + y + y + ytytyty<br> Collect like terms
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A set of equations is given below
Alex_Xolod [135]

Answer:

No solution

Step-by-step explanation:

This is no solution due to the fact that the slope of both of the equation are the same. So they are parallel. If the b value is the same then it is infinitely many solutions. Due to the fact that the b value is not the same they are a set of parallel line. Parallel line do not touch or intersect ever so there for this is a no solution set.

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3 years ago
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

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

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

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

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
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