The answer to this question would be: 85/99
In this question, Suzan is taking 8 marble from a bag containing 4 red marbles, 4 green ones, 2 white ones, and 2 purple ones. The total marble in the bag should be: 4+4+2+2= 12. The question is how much the probability to get <4 red marble. In this question, the green, white and purple is not specified so you can join them into not red group. It will be easier to find the probability of "have all the red one" which mean Suzan take 4 red marble and 4 not-red marble<span>
Ways to take 8 marble out of 12=12C5= 12!/4!8!= </span>495
Ways to take 4 red marble out of 4= 4C4= 1
Ways to take 4 not red marble out of 8= 8C4= 8!/4!4!= 70
Probability to <span>have all the red ones= 1*70/495= 14/99
</span>Then the probability does not have all the red ones= 99/99 - 14/99= 85/99
Answer:
438.453 shares
Step-by-step explanation:
<em>From my understanding, the question says that the shares were increased by 14.814%.</em>
<em>Therefore, we have to calculate the increase</em>
<u>Step 1: Calculate the increase</u>
Previous shares : 381.881
Increase : 14.814%
Increase = 381.881 x 14.814% = 56.572
<u>Step 2: Calculate the new total shares</u>
New shares = 381.881 + (381.881 x 14.814%)
New shares = 381.881 + 56.572
News shares = 438.453
Therefore, the new total shares owned by the stockholder are 438.453 shares.
!!
First, think of it as 3 different expressions.Go through them one at a time. There is:
-2a(a+b-5) ] +3(-5a+2b) ] +b(6a+b-8)
Multiply everything out.] Multiply everything out. ]Multiply everything out
-2a x a = -2a² ] +3 x -5a = -15a ] +b x 6a = 6ab
-2a x b = -2ab ] +3 x 2b = 6b ] +b x b = b²
-2a x -5 = 10a ] -15a + 2b = -15a+2b ] +b x -8 = -8b -2a² + -2ab + 10a = ] ] 6ab + b² + -8b =
-2a²+-2ab+10a ] ] <span>6ab+b²+-8b
</span>Now add everything up, but before that, remember these algebraic rules:
∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1
∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1
∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.
Following these rules, -2a²+-2ab+10a+-15a+2b+<span>6ab+b²+-8b =
</span>4ab-5a-6b+b²-2a²
Hope that helps you and that it wasn't too tricky to understand. :)
Answer:
c=6
Step-by-step explanation:
c-20-4-3c
c-20+20= 4+20-3c
c=24-3c
c+3c=24-3c + 3c
4c = 24
4c 4 24 4 =
c = 6