Jeremy's score was 1.75 standard deviations above the mean. which kf thr following is closest to his percentile rank
1 answer:
The answer is 96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is 96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is 96%.
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Answer:
The triangle is both an Isosceles triangle and a right triangle.
Step-by-step explanation:
Given the vertices of a triangle.
and
We find the distance between all the points to determine the length of each side of the triangle.
Distance between any two points, say, and
is:
Length between and
, (Side 1) :
and
Distance =
Length of Side 1 = units.
Distance between and
, (Side 2):
Distance =
Length of Side 2 = units.
Distance between and
, Side 3 :
Distance =
Length of Side 3 = units.
Note that the length of Side 1 = Length of Side 3.
That means the triangle is Isosceles.
Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:
(Side 1)² + (Side 3)² = (Side 2)²
i.e, 53 + 53 = 106
Hence, the triangle is a right - angled triangle as well.
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:
Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:
We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb