Answer:
awan ko sayo magsagot ka ng sarili mo
Answer:
a) 
And replacing we got:

b) 
And replacing we got:

c) 
And replacing we got:

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".
Part a
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Part b
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Part c
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Combine like terms on the right side:


Add 9 to both sides:

Divide both sides by 5 to get x by itself:

The value of x is
7.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.
<h3>What is Tangent (Tanθ)?</h3>
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,
Tan(25°) = AB / BC
Tan(25°) × 555 m = AB
AB = 258.8 meters
Hence, the distance from point C to point D is 258.8 meters.
Learn more about Tangent (Tanθ):
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Sample Response:
<em>The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.</em>
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