Answer:
<h2>Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about</h3>the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
<h3>59 in²</h3>
Answer:
We need a score of 77.8 or higher in order to stay in the top 10% of universities
Step-by-step explanation:
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".
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
minutes.
And we want the top 10% of universities, so we need a value a such that:
or
We need on the right tail of the distribution a value a that gives to us 90% of the area below and 10% of the area above. Both conditions are equivalent.
Let's use the condition , the best way to solve this problem is using the z score with the following formula:
So we need a value from the normal standard distribution that accumulates 0.90 of the area on the left and 0.10 on the right. This value on this case is 1.28 and we can founded with the following code in excel:
"=NORM.INV(0.90,0,1)"
If we apply the z score formula to our case we have this:
So then based on the equalities we have this:
And if we solve for a we got:
So then we need a score of 77.8 or higher in order to stay in the top 10% of universities
Answer:
4,022.5 m
Step-by-step explanation:
When an observer watches an object lying on the ground from an elevated point on the ground then the angle formed between horizontal line and the line of vision is known as ANGLE OF DEPRESSION.
When an observer watches an object from a point on the ground situated at some height from the ground from the ground then the angle formed between horizontal line and the line of vision is known as ANGLE OF ELEVATION .
Let the distance of the rock from the airplane be x meters.