(8,9,2 )(3,5,7)(1,3,3)(5,3,2) which does not make up a triangle

1 answer:

4 0

Most likely you are expected to recognize that side lengths 2, 3, 5 will result in a "triangle" of zero area (looks like a line segment).

The appropriate choice is
(5, 3, 2)

_____
Some authors write the triangle inequality as a + b ≥ c for any assignment of a, b, c to side lengths. The "or equal to ..." allows the triangle to have zero area (looks like a line segment). Other authors insist the inequality not include the "or equal to" case. It looks like your text's author is in the latter camp.

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Please help!!!!!!!!!!!!!!!! Will mark brainliest! thanks!

madreJ [45]

$gpm = 29.7 \times {d}^{2} \times \sqrt{np}$
this formula is used to determine gpm (gallons per minute) of flow with a known hose diameter (d) and nozzle pressure (np). The constant (29.7) is consistent when figuring flow with in gallons with a know pressure expressed in psi (pounds per square inch).

Scenario example: a firefighter is using a handline to fight fire with an 1 3/4 inch line with a nozzle pressure of 100 psi. How much water is the firefighter flowing when fighting fire?

$gpm = 29.7 \times {1.75}^{2} \times \sqrt{100}$

3 0

3 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean