A set of elementary school student heights are normally distributed with a mean of 105105105 centimeters and a standard deviatio
2 answers:
Answer:
The proportion of student heights that are between 94.5 and 115.5 is 86.64%
Step-by-step explanation:
We have a mean and a standard deviation
. For a value x we compute the z-score as
, so, for x = 94.5 the z-score is (94.5-105)/7 = -1.5, and for x = 115.5 the z-score is (115.5-105)/7 = 1.5. We are looking for P(-1.5 < z < 1.5) = P(z < 1.5) - P(z < -1.5) = 0.9332 - 0.0668 = 0.8664. Therefore, the proportion of student heights that are between 94.5 and 115.5 is 86.64%
You might be interested in
Answer:
<h2>Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.</h2>Step-by-step explanation:
You can observe a representation of this problem in the image attached.
Notice that the grass seed is gonna be put only in the green zone, out of the pond. So, we need to find each area and subtract them.
The difference is
Now, according to the problem, one box of grass seed covers 15 meters of the garden, let's divide this number with the seed area.
Therefore, Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.
