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ValentinkaMS [17]
3 years ago
7

18

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer: 100

5

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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14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c
DedPeter [7]

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

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I believe it's Line y=-x+2 and y=3x+1 intersect the y-axis. From what I've gathered, they are parallel lines, and both are set on the y-axis.
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Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d
gladu [14]

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Elden [556K]

Answer:

x = 18°\\\angle A = 73°

Step-by-step explanation:

By interior angle property on one side of the transversal.

\angle A+ \angle B = 180°\\6x - 35° + 3x + 53°  = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\

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3 years ago
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