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EastWind [94]
3 years ago
13

Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
7 0
Add the the ratio 5:1

It will be 5+1=6

Remember that 6 is the total ratio equivalent to £50 and we only wanted to obtain Collins gain so you say

Collins is represented with the ratio 1 while Brian 5

If 6=£50 what about 1
1×£50/6 which you will give you £8.3
Anon25 [30]3 years ago
4 0

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

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At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of
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Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

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.

In this problem, we have that:

\mu = 58.90, \sigma = 3.64, n = 44, s = \frac{3.64}{\sqrt{44}} = 0.54875

What is the probability that the mean amount of their monthly cell phone bills is more than $60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

By the Central Limit Theorem

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Z = \frac{60 - 58.90}{0.54875}

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Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

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