Probability of 1st number being even : 3/7
probability of 2nd number being even : 2/6
probability of 3rd number being even : 1/5
probability of all 3 numbers being even : 3/7 * 2/6 * 1/5 = 6/210 = 1/35
Answer:
No. g(6) is undefined.
Step-by-step explanation:
A function is continuous when the left limit is equal to the right limit at a point, and the function is defined as the limit value at that point.
This function is not defined at x=6, so cannot be continuous there. (Also, the limit values from the different directions are different.)
Answer: 2 tokens.
Step-by-step explanation:
From the question, we are informed that a bag contains green tokens and black tokens and that there are 8 green tokens in the bag.
We are further told that the ratio of green tokens to black tokens is 4 for every 1.
Since the green tokens is 4× the black tokens, therefore the number of black tokens in the bag will be:
= 8/4
= 2 tokens
Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Answer:
93.75
Step-by-step explanation:
well think about this he purchased 7 songs then he is left with $ 41.25 on his card then he bought 18 songs for 27.50 would tell you how much was used what it wants is for you to figure out the starting number using the equation 7+18= 25 and 41.25+27.50= 68.70. which would make 68.70+ 25= 93.75
