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Eduardwww [97]
2 years ago
5

Matthew buys breakfast for his family. He buys 2 breakfast sandwiches and 2 coffees for $14.50. Jade buys breakfast for her fami

ly. She buys 4 breakfast sandwiches and 3 coffees for $27. How much does each breakfast sandwich cost and each coffee cost?
Mathematics
1 answer:
Amanda [17]2 years ago
7 0

Answer:

Matthew: $ 3.60

Jade: $3.90

Step-by-step explanation:

2x + 2x = 14.50

-> 4x = 14.50

-> $3.60

4x + 3x = 27

-> 7x = 27

-> $ 3.90

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Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

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}

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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}};

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In this problem, we have that:

\mu = 97, \sigma = 19, n = 75, s = \frac{19}{\sqrt{75}} = 2.1939

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

By the Central Limit Theorem

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

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