18

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer: 100

Step-by-step explanation:

a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...

... 100 students will have grades above 70%.

b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.

... about 5 students will have grades above 84%.

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The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Rou

Gemiola [76]

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

$V= \dfrac{4}{3} \pi r^3 \: \rm unit^3$

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14

Thus, we have the volume of container as:

$V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{$

Thus,

The approximate volume of the specified container is 87.92 cm³

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-- Reflecting across the x-axis makes all the x-coordinates the negative of
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