30 degrees
Angles ACB and CAB are both 75 degrees due to the fact that they are 90 degree angles subtracting the 15 degrees. Then add the two together and subtract from 180.
Hello there,
The equation that we have to factor is as follows:
2x² + 3x - 54
In order to factor this we first multiply (-54) by 2 and try to find two factor pairs that can be add up to 3.
For this we would use 12 * -9 which gives you -108 when multiplied and when added you would get 3.
2x² + 12x - 9x -54
2x(x + 6) -9(x +6)
(2x - 9) (x + 6)
Now the factor pairs would be: (2x - 9)(x + 6)
Hope I helped,
Amna
Recall that for
, i.e. a random variable
following a binomial distribution over
trials and with probability parameter
,
So you have
The expected value of
is simply
, while the standard deviation is
. In this case, they are
and
, respectively.
The correct answer is C. Hope this helps! ;D
Answer:
k=(5x+6)/(3x+6) and k<3/5
Step-by-step explanation:
- 3k(x+2)+2 = 5x+8
- 3k(x+2)=5x+6
- 3k=(5x+6)/(x+2)
- k=(5x+6)/(3x+6)
it is solved for k
and considering the condition for x<3:
- 3k(x+2)+2 = 5x+8
- 3kx+6k=5x+6
- (5-3k)x=6k-6
- x= (6k-6)/(5-3k)
- x<3 ⇒ (6k-6)/(5-3k)<3 ⇒ 6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5
So,
k=(5x+6)/(3x+6) and k<3/5
