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insens350 [35]
3 years ago
6

C = d where C is the circumference of a circle, is about 3.14, and d is the diameter.

Mathematics
1 answer:
Rzqust [24]3 years ago
3 0

Answer:

Formula for Circumference of a Circle

Circumference is given by the formula C = πd where π = 3.14 and d is the diameter of the circle. Circumference is given by the formula C = 2πr where π = 3.14 and r is the radius of the circle.

Hope it's helpful to you

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The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard
user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

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.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that \mu = 80, \sigma = 6

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

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

1.96 = \frac{X - 80}{6}

X - 80 = 6*1.96

X = 91.76

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

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2 years ago
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

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Answer:

C

Step-by-step explanation:

2 equal angles are said to be congruent

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