If 5 ibs apples cost $2.99, how much would 3 ibs cost?

Mathematics

1 answer:

AnnZ [28]1 year ago

5 0

We know that 5 lbs of apples cost $2.99

To know how much do 3 lbs of apple cost, you can use cross multiplication

If 5 lbs cost $2.99

Then 3 lbs cost $x

The proportion between the price and the number of apples is the same, you have to calculate it as:

$\begin{gathered} \frac{2.99}{5}=\frac{x}{3} \\ (\frac{2.99}{5})\cdot3=x \\ x=1.794 \end{gathered}$

3 lbs of apples cost $1.79

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A random sample of 625 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown

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Answer:

10.57% probability that the mean contents of the 625 sample cans is less than 9.995 ounces.

Step-by-step explanation:

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 $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 10, \sigma = 0.1, n = 625, s = \frac{0.1}{\sqrt{625}} = 0.004$