Which of the following sets of side lengths would form a triangle? Check all that apply.

Mathematics

1 answer:

Anastasy [175]3 years ago

4 0

Answer:

Step-by-step explanation:

a, b, c

a + b > c

a + c > b

b + c > a

1). Yes, would form.

2). Yes, would form.

3). No, would not form. 10 + 9 = 19

4). Yes, would form.

5). No, would not form. 6 + 4 < 15

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borishaifa [10]

Answer:

a) $P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

b) $P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

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".

Part a

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

$X \sim N(7.37,1.25)$