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vekshin1
3 years ago
9

Can someone help me please

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
A) 4(25-3y)+5y=9
    100-7y=9
     91=7y
     y=13
    (-14,13)

b) 14-x=x-10
     2x=24
     x=12
     (12,14)

c) 4x=12
    (3,7)

d) 18.5x+10.4y=200
     x+y=130

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Answer:

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Step-by-step explanation:

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The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

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 = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

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3 years ago
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Pani-rosa [81]
Take the 25 art projects devised by 100% would be .25 then multiply .25 by the percentage that got perfect scores in which you would get 3 perfect scores

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Sedaia [141]

Answer:

21.

Step-by-step explanation:

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When x = -2,

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Answer:

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To convert pounds to kilograms you would have to multiply the pounds by 0.45. So you have to multiply 90 by 0.45.

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