Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions

Mathematics

1 answer:

choli [55]4 years ago

5 0

1/2 ÷ 1/2
= 1/2 ÷ 2/1
= 1/2 × 2/1
= 2/2
= 1

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Could someone explain line of best fit IN DETAIL.

iris [78.8K]

Answer:

A line of best fit (or "trend" line) is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.

Step-by-step explanation:

7 0

3 years ago

Suppose the ice Q scores in one region are normally distributed within a standard deviation of 13. Suppose also that exactly 51%

elena-14-01-66 [18.8K]

Answer:

$z=-0.025$

And if we solve for $\mu$ we got

$\mu=100 +0.025*13=100.325$

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 scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,13)$

Where $\mu=?$ and $\sigma=13$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

For this case we know these conditions:

$P(X>100)=0.51$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.49 of the area on the left and 0.51 of the area on the right it's z=-0.025. On this case P(Z<-0.025)=0.49 and P(z>-0.025)=0.51

If we use condition (b) from previous we have this:

$P(X$