PLEASE HURRY!!!!

Mathematics

1 answer:

mestny [16]3 years ago

4 0

d !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!!!!!!!!!

You might be interested in

Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar

Nataly_w [17]

Answer:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

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

$X \sim N(48.5,2)$

Where $\mu=48.5$ and $\sigma=2$

We are interested on this probability

$P(X$

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

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

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

5 0

3 years ago

Pls help!!!!!!!! Will give brainliest!!!!!!!!!!!

prohojiy [21]

Okay so lets look at the equation given
$a ^{2} + {b}^{2} = {c}^{2}$
this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible

now we can look at this algebraically
$a = 3 \\ b = 4 \\ c = 5$
(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
${a}^{2} + {b}^{2} = {c}^{2} \\ {3 }^{2} + {4}^{2} = {5 }^{2} \\ 9 + 16 = 25 \\ 25 = 25$
and heres with "a" and "b" lengths swapped
${4}^{2} + {3}^{2} = {5}^{2} \\ 16 + 9 = 25 \\ 25 = 25$
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

$a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:$
obviously 34 does not equal 16

hope this helped you out