To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

8 0

3 years ago

Directions: Find at least 3 possible sets of whole-number dimensions for a rectangular with the given volume of 56mm.

Andreyy89

56 x 1 x 1
8 x 7 x 1
2 x 2 x 14

8 0

3 years ago

The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviatio

cupoosta [38]

We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.

The mean weight of the luggage of passengers will be 2100/100 = 21.

So we have to find the probability of the mean weight to be less than 21.

Average weight = u = 19.4
Standard deviation = 5.3

Since we are dealing with a sample of 100. We will use the standard error.

Standard error = $\frac{s}{ \sqrt{n} }= \frac{5.3}{ \sqrt{100} }=0.53$

Now we have to convert the weight to z-score

$z= \frac{x-u}{ \frac{s}{ \sqrt{n} } }$

$z= \frac{21-19.4}{0.53}=3.018$

From z table we can find the probability of z being less than 3.018 is 99.87%.

Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%

8 0

4 years ago

Read 2 more answers

Two companies have made Evelyn job offers. B-Innovative, Inc., provides a one-time signing bonus of $4,100 and pays $1,095 a wee

12345 [234]

D I think the answer is and I thin 5

3 0

3 years ago

Read 2 more answers