Answer:
Step-by-step explanation:
Number of red marbles=4
Number of blue marbles=3
P(B)=3/10
P(R)=4/10=2/5
Total number of marbles=10
<span> 1.08×10^15
------------------ = 0.4 x 10^4 = 4000
</span><span> 2.7×10^11
answer
4000 times greater</span>
Given:
![P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3](https://tex.z-dn.net/?f=P%28A%29%3D0.4%2C%20P%28B%29%3D0.7%2C%20P%28A%5Ctext%7B%20and%20%7DB%29%3D0.3)
To find:
The value of
.
Solution:
We know that,
![P(A\text{ and }B)=P(A\cap B)](https://tex.z-dn.net/?f=P%28A%5Ctext%7B%20and%20%7DB%29%3DP%28A%5Ccap%20B%29)
![P(A\text{ or }B)=P(A\cup B)](https://tex.z-dn.net/?f=P%28A%5Ctext%7B%20or%20%7DB%29%3DP%28A%5Ccup%20B%29)
It means, we have
and we need to find the value of
.
![P(A\cup B)=P(A)+P(B)-P(A\cap B)](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29)
![P(A\cup B)=0.4+0.7-0.3](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D0.4%2B0.7-0.3)
![P(A\cup B)=1.1-0.3](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D1.1-0.3)
![P(A\cup B)=0.8](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D0.8)
Therefore, the value of
is 0.8.
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{\cfrac{2}{3}}[x-\stackrel{x_1}{(-1)}]\implies y+5=\cfrac{2}{3}(x+1)](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B-5%7D%29~%5Chspace%7B10em%7D%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-5%29%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-1%29%7D%5D%5Cimplies%20y%2B5%3D%5Ccfrac%7B2%7D%7B3%7D%28x%2B1%29)
![\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+5)=3\left( \cfrac{2}{3}(x+1) \right)}\implies 3y+15 = 2(x+1) \implies 3y+15=2x+2 \\\\\\ 3y=2x-13\implies -2x+3y=-13\implies 2x-3y=13](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B3%7D%7D%7B3%28y%2B5%29%3D3%5Cleft%28%20%5Ccfrac%7B2%7D%7B3%7D%28x%2B1%29%20%5Cright%29%7D%5Cimplies%203y%2B15%20%3D%202%28x%2B1%29%20%5Cimplies%203y%2B15%3D2x%2B2%20%5C%5C%5C%5C%5C%5C%203y%3D2x-13%5Cimplies%20-2x%2B3y%3D-13%5Cimplies%202x-3y%3D13)
Answer:
12X3/-a=`12
Step-by-step explanation:
12x3=36
36xa/+=12