Your answer for -16 divided by 2 will be -8, because half of 16 is 8, but you are just in the negative numbers:)! So your answer is -8
A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:
rate = 36 miles / 45 min = 0.8 miles per min
distance traveled = 0.8 miles per min ( 60 min ) = 48 miles
Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
Have an amazing day and stay hopeful!
Answer:
The probability that all are male of choosing '3' students
P(E) = 0.067 = 6.71%
Step-by-step explanation:
Let 'M' be the event of selecting males n(M) = 12
Number of ways of choosing 3 students From all males and females
![n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276](https://tex.z-dn.net/?f=n%28M%29%20%3D%2028C_%7B3%7D%20%3D%20%5Cfrac%7B28%21%7D%7B%2828-3%29%213%21%7D%20%3D%5Cfrac%7B28%20X%2027%20X%2026%7D%7B3%20X%202%20X%201%20%7D%20%3D%203%2C276)
Number of ways of choosing 3 students From all males
![n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220](https://tex.z-dn.net/?f=n%28M%29%20%3D%2012C_%7B3%7D%20%3D%20%5Cfrac%7B12%21%7D%7B%2812-3%29%213%21%7D%20%3D%5Cfrac%7B12%20X%2011%20X%2010%7D%7B3%20X%202%20X%201%20%7D%20%3D220)
The probability that all are male of choosing '3' students
![P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%5Cfrac%7Bn%28M%29%7D%7Bn%28S%29%7D%20%3D%20%5Cfrac%7B12%20C_%7B3%7D%20%7D%7B28%20C_%7B3%7D%20%7D)
![P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%20%5Cfrac%7B12%20C_%7B3%7D%20%7D%7B28%20C_%7B3%7D%20%7D%20%3D%20%5Cfrac%7B220%7D%7B3276%7D)
P(E) = 0.067 = 6.71%
<u><em>Final answer</em></u>:-
The probability that all are male of choosing '3' students
P(E) = 0.067 = 6.71%