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Ainat [17]
3 years ago
6

Whats the expression

Mathematics
1 answer:
Over [174]3 years ago
5 0
The expression is: 5x + 6y - 3
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Matthew purchases 3 loaves of bread for $1.97 each and 4 gallons of milk. Jose purchases 3 pounds of chicken for $3.99 a pound a
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So first you need to multiply 3 and 1.97 which equals 5.91 and that is for Matthew. Now for Jose, you multiply 3 by 3.99 and that equals 11.97. And so to find out how much money they each spend you subtract 11.97 and 5.91 which is 6.06. And to find out how much each gallon of milk is you divide 6.06 by two which is 3.03. So then you multiply 3.03 by 4 because Matthew purchased 4 gallons of milk and that is equal to 12.12 then you multiply 3.03 by 2 for Jose's milk and that equals 6.06. Matthew's total is 5.91 plus 12.12 and that is 18.03. Jose's total is 11.97 plus 6.06 and that equals 18.03 also. Both Matthew and Jose spent $18.03 on groceries and each gallon of milk costs $3.03.
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4 years ago
Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o
stepan [7]

Answer:

27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

Step-by-step explanation:

To solve this problem, it is important 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 12.01, \sigma = 0.2, n = 144, s = \frac{0.2}{\sqrt{144}} = 0.0167

What is the probability that the mean volume of a random sample of 144 bottles is less than 12 oz

This is the pvalue of Z when X = 12

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

By the Central Limit Theorem

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

Z = \frac{12 - 12.01}{0.0167}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743.

So there is a 27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

4 0
3 years ago
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