Answer:
Step-by-step explanation:
Total number of balls = 3 + 2 = 5
1)
a)
b)
c)
Probability of at least one black( means BB or BW or WB)
d)
Probability of at most one black ( means WW or WB or BW)
2)
a) Probability both black without replacement
b) Probability of one black and one white
c) Probability of at least one black ( BB or BW or WB)
d) Probability of at most one black ( BW or WW or WB)
0.000045 = <span>00.00045 /10
=</span><span> 000.0045 / 100
</span>= 0000.045 / 1 000
= 00000.45 / 10 000
<span>= 000004.5 / 100 000 = 4.5 * 10^(-5)
That is in</span><span> scientific notation
I hope that helps
</span>
Answer:
Option C is correct.
Step-by-step explanation:
-x+3y=2
4x-2y=22
In matrix form is represented as:
![\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%263%5C%5C4%26-2%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2%2622%5Cend%7Barray%7D%5Cright%5D)
AX=B
|A| = (-1)(-2)-(3)(4)
|A| = 2-12
|A| = -10
Adj A = ![\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%26-3%5C%5C-4%26-1%5Cend%7Barray%7D%5Cright%5D)
A^-1 = -1/10
A^-1 = 1/10![\left[\begin{array}{cc}2&3\\4&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%263%5C%5C4%261%5Cend%7Barray%7D%5Cright%5D)
X= A^-1 B
X = 1/10![\left[\begin{array}{c}2&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2%2622%5Cend%7Barray%7D%5Cright%5D)
X=1/10![X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]](https://tex.z-dn.net/?f=X%3D1%2F10%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D2%2A2%2B3%2A22%5C%5C4%2A2%2B1%2A22%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D1%2F10%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%2B66%5C%5C8%2B22%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D1%2F10%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D70%5C%5C30%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D70%2F10%5C%5C30%2F10%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D7%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
So, x = 7 and y =3
Hence Option C is correct.
Dividing is the action of slimming a number down to a smaller size. When you divide a whole number by a decimal less than 1 the quotient is greater than the whole number because the that is how many times the quotient is a part of the whole number. For instance, you divide 100 by 4, you will get a quotient of 25. There are 4 parts of 25 to be equal to 100.
I hope this helps you!
Answer:
B. y=3x+12
Step-by-step explanation:
Hi there!
We want to find out which equation is equivalent to -6x+2y=24
The equation is currently written in standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b CANNOT equal zero
We can change the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, as all of the answer options are in slope-intercept form.
To do that, we'll need to isolate y by itself on one side
So let's add 6x to both sides to remove it from the left side
-6x+2y=24
+6x +6x
__________________
2y=6x+24
Now divide both sides by 2 to get the value of y by itself (1y)
y=3x+12
The answer is B. y=3x+12
Hope this helps!
