Mikel creates the table below to help her determine 40% of 70

Mathematics

2 answers:

Whitepunk [10]3 years ago

5 0

To Find: 40 % of 70

Solution:

x % of y means = $\frac{x \times y}{100}$

40 % of 70= $\frac{40 \times 70}{100}=\frac{2800}{100}=28$

This is the way Mikel can determine 40 % of 70.

DerKrebs [107]3 years ago

3 0

40% percent times 70 is want I believe

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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$