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2 years ago

How to mathematically divide a circle into 60 parts with coordinates?

1 answer:

8 0

The coordinates are (rcos(6n),rsin(6n)) where r is the radius of the circle and n ranges from 0 to 59.
60 parts gives the angle 360/60=6 degrees, so multiples of this angle (6n) determine the coordinates.
When n=0, the coords are (r,0); when n=5, the coords are (r√3/2,r/2); when n=10 the coords are (r/2,r√3/2), etc.

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Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.

Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that $\mu = 50, \sigma = 10$

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65 - 50}{10}$

$Z = 1.5$

$Z = 1.5$ has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0

2 years ago

Which statement best describes the faces that make up the total surface area of this composite solid? A triangular prism on top

Anestetic [448]

Answer:

The answer is B) 9 faces, 7 rectangles, and 2 triangles

Step-by-step explanation:

I took the test and got it correct

3 0

3 years ago

Read 2 more answers

PLEASE HURRY WILL GIVE BRAINLIEST A truck can be rented from Company A for $90 a day plus $0.30 per mile. Company B charges $70

rjkz [21]

Answer:

40 miles a day

Step-by-step explanation:

The difference in fixed charge is $20; the difference in mileage charge is $0.50 per mile. So it will take $20/$0.50 = 40 miles for the extra mileage cost to eat up the savings in fixed cost. At that mileage, both companies will charge the same amount:

A: 90 + 0.30·40 = 102

B: 70 + 0.80·40 = 102

4 0

2 years ago

Fran is making a punch for her birthday party. She needs 4 1/5 liters of juice for the punch, but she only has 1 4/5 liters. How

labwork [276]

Answer: she needs 2 2/5 liters

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.