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amm1812
3 years ago
11

Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.

Mathematics
1 answer:
professor190 [17]3 years ago
7 0
Solution D 

Just put into a calculator 

Hope I helped :)

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Contestants in a dance a thon rest for the same amount of time evry hour.A couple rest for 25 mins in 5 hours. How long did they
Shalnov [3]
Same amount of time every hour is constant rate.
25 min / 5 hrs = 5 min per hour

8 hrs × 5 min per hr = 40 min rest
3 0
3 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
What is the measure of b?
sergejj [24]

Answer:

mesure of b is what hahhahaha

5 0
3 years ago
How many more cents per item is 3 items for $10 than 2 items for $5? Express your answer to the nearest whole number.
fiasKO [112]
10/3: 3.33
5/2:2.50

3.33-2.50=0.83

Answer: 83 cents.

5 0
3 years ago
Sarah bought a $320000 house. She pays 20% down and takes out a 30-year loan for the rest. How much is the loan amount going to
lana [24]
The first thing you do is mutitpy 320,000 by .20 so that you can find the amount of down payment. The down payment would be 64,000. So you subtract 64,000 from 320,000. This leaves a loan amount of 256,000 dollars. The answer is 256,000 dollars .
7 0
3 years ago
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