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BlackZzzverrR [31]
2 years ago
5

The radius of a round tablecloth is 2.75 feet, how many yards is needed

Mathematics
2 answers:
tatiyna2 years ago
7 0

Answer:

5.23 yards

Step-by-step explanation:

The circumference of a circle is equal to

C=2\pi r

we have

r=2.5 ft

substitute the value

C=2\pi r(2.5)=5\pi  ft

assume

\pi =3.14

5\pi =5*3.14=15.7 ft

convert feet to yards to get your answer:

<em>5.23 yards</em>

kogti [31]2 years ago
5 0

Answer:

Step-by-step explanation:

A=\pi r^2\\ \\ A=\pi(2.75ft(yd/3ft))^2\\ \\ A\approx 2.64 yd^2

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Read 2 more answers
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

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