To check that three side lengths can form a triangle you only have to check the sum of the two shortest lengths. Explain why

1 answer:

7 0

If the longest side is greater than or equal to than the sum of the other 2 sides, then you won't have a triangle
(if one side is too long, then the other sides can't connect to reach each other)

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We have an urn with 3 green and 4 yellow balls. We choose 2 balls randomly without replacement. Let A be the event that we have

Nana76 [90]

Answer:

Step-by-step explanation:

Urn has 3 green and 4 yellow

we choose 2 balls randomly

so samples space for this selection is

$\left [ \left ( Y,G\right ),\left ( G,Y\right ),\left ( G,G\right ),\left ( Y,Y\right )\right ]$

Event A is choosing differently colored ball form sample space

P(A)=Probability of event (G,Y)+Probability of event (Y,G)

$=\frac{^3C_1\times ^4C_1}{7\times 6}+\frac{^4C_1\times ^3C_1}{7\times 6}$

$=\frac{4}{7}$

5 0

3 years ago

Find the volume of the prism. Write your answer as a decimal.

anyanavicka [17]

Answer:

Step-by-step explanation:

It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed

4 0

3 years ago

There were 8 judges at a gymnastics competition. Kathleen received these scores for her performance on the uneven parallel bars.

Korolek [52]

Answer:

below

Step-by-step explanation:

mean : 8.8

The mean is the average, so you find it by adding all the numbers together and dividing by n, or how many numbers there are. For this, I added to get 70.4 and divided that by 8 (8 total scores).

70.4/8 = 8.8.

median : 8.85

The median is the middle of the data set, so you put the numbers in increasing order (lowest number to highest number) and then finding the middle of that set. For this set, since there is an even number of numbers (8), you have to find the middle by adding the two middle numbers and dividing by 2.

8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

The middle numbers are 8.8 and 8.9, so you add those together and divide by 2 to get 8.85.

mode : 8.9

The mode is just what number appears most often. Because 8.9 appears three times in this data set, more than any other number, the mode is 8.9.

b. The mean reflects a typical score because it is the average, and is used most often when someone is expressing a typical or "average" score. It is the score most people are likely to get, and as there are no outliers in this data set, it reflects a typical score for this data set. It is also the same as the mode, or most often score, in this data set.