P=22 rewrite the question as -8+p/11=-6 then move all terms not containing p to the right side p/11=2 multiply both sides of the given equation by 11, the reciprocal, 11*p/11=11*2
Answer:
45x-6
Step-by-step explanation:
math
way
Answer:
1/12
Step-by-step explanation:
<u>Needed information</u>
![\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}](https://tex.z-dn.net/?f=%5Csf%20Probability%5C%3Aof%5C%3Aan%5C%3Aevent%5C%3Aoccurring%20%3D%20%5Cdfrac%7BNumber%5C%3Aof%5C%3Aways%5C%3Ait%5C%3Acan%5C%3Aoccur%7D%7BTotal%5C%3Anumber%5C%3Aof%5C%3Apossible%5C%3Aoutcomes%7D)
The sum of the probabilities of all outcomes must equal 1
<u>Solution</u>
We are told that the probability that the counter is <em>not</em> black is 3/4.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:
![\sf P(counter\:not\:black)=\dfrac34](https://tex.z-dn.net/?f=%5Csf%20P%28counter%5C%3Anot%5C%3Ablack%29%3D%5Cdfrac34)
![\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28counter%5C%3Ablack%29%3D1-%5Cdfrac34%3D%5Cdfrac14)
We are told that the probability that the counter is <em>not </em>white is 2/3.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:
![\sf P(counter\:not\:white)=\dfrac23](https://tex.z-dn.net/?f=%5Csf%20P%28counter%5C%3Anot%5C%3Awhite%29%3D%5Cdfrac23)
![\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20P%28counter%5C%3Awhite%29%3D1-%5Cdfrac23%3D%5Cdfrac13)
We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:
![\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Csf%20P%28counter%5C%3Agrey%29%20%26%20%3D%20%5Csf1-P%28counter%5C%3Ablack%29-P%28counter%5C%3Awhite%29%5C%5C%5C%5C%20%26%20%3D%5Csf%201-%5Cdfrac14-%5Cdfrac13%5C%5C%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B12%7D%7B12%7D-%5Cdfrac%7B3%7D%7B12%7D-%5Cdfrac%7B4%7D%7B12%7D%5C%5C%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B12-3-4%7D%7B12%7D%5C%5C%5C%5C%20%26%20%3D%20%5Csf%20%5Cdfrac%7B5%7D%7B12%7D%5Cend%7Baligned%7D)
Answer:
C
Step-by-step explanation:
first of all, the correct factorization is
y = (x - 3)(x + 6)
because when we do the multiplication
y = x² + 6x - 3x - 18 = x² + 3x - 18
and then, the factorization tends us also directly the zero points, because y is only 0, when one of the factors is 0.
so, either x-3 or x+6 has to be 0 to make the whole expression 0.
and that is only for x=3 or x=-6
Answer:
100.763 (cm.²)
Step-by-step explanation:
1. the formula of the required area is:
![A=\frac{1}{2} *side_1*side_2*sin45;](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%2Aside_1%2Aside_2%2Asin45%3B)
2. according to the formula above:
A=0.5*15*19/√2≈100.763