9^2= 9.5^2 + 4^2 - 2 (9.5) (4) (cosR) I'm trying to find out the angle measure of R

1 answer:

5 0

Sorry I can't solve it.

Firstly, the equation is wrong. It is supposed to be 81 ≠ 30.25

Second of all, this is the best I got 81= −76 (cos(r) + 106.25

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Joses ACT score had a z-score of .75.what was his ACT score? mean score=21.1 sd=5.2

Zielflug [23.3K]

Answer:

$X \sim N(21.1,5.2)$

Where $\mu=21.1$ and $\sigma=5.2$

And the z score is given by:

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

And since z = 0.75 we can replace like this:

$0.75 = \frac{x- 21.1}{5.2}$

And if we solve for x we got:

$x = 21.1 +0.75*5.2 = 25$

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