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3 years ago

6

Each batch of cookies requires 1 3/5 cups of butter. If Amanda has 8 cups of butter, how many batches of cookies can she bake

1 answer:

evablogger [386]3 years ago

7 0

namely, how many times does 1⅗ goes into 8.

let's firstly convert the mixed fraction to improper fraction and then divide.

$\bf \stackrel{mixed}{1\frac{3}{5}}\implies \cfrac{1\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{8}{5}} \\\\\\ 8\div \cfrac{8}{5}\implies \cfrac{8}{1}\div \cfrac{8}{5}\implies \cfrac{8}{1}\cdot \cfrac{5}{8}\implies \cfrac{8}{8}\cdot \cfrac{5}{1}\implies 5$

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The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 mont

natita [175]

To solve the problem we must know about Z-Score.

<h3>What is Z-score?</h3>

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

$Z = \dfrac{X- \mu}{\sigma}$

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

Mean, μ = 48 months,
standard deviation, σ = 8 months,
Z-Score = -3

<h3> What is the life span of an appliance?</h3>

The life span of the appliance can be calculated using the Z-score formula,

$Z = \dfrac{X- \mu}{\sigma}$

Substitute the values,

$-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months$

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

Learn more about Z-score:

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