Answer:
<u>There are:</u>
- 6 red balls - R
- 5 black balls - B
- Total number = 11 balls
<h3>A. Without replacement</h3>
i. <u>Two blacks </u>
ii. <u>The first is black</u>
or, alternatively
- P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11
iii. <u>Both are of same colour</u>
- P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>
i. <u>Two blacks </u>
- P(BB) = 5/11*5/11 = 25/121
ii. <u>The first is black</u>
or alternatively
- P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11
iii. <u>Both are of same colour</u>
- P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
Answer: b = 1850 - 120w
Step-by-step explanation:
Let w represent the number of weeks for which the books are purchased.
They are being purchased at a steady rate of 120 books per week. This means that the number of books purchased after w weeks would be 120w.
The total number of algebra textbooks that she had initially is 1850
If b represents the number of books left after w-weeks of sales, then the linear function that models the number of books left after w weeks would be
b = 1850 - 120w
Answer:
The x -coordinate(s) of the point(s) of intersection of these two polynomials are 
The sum of these x -coordinates is 
Step-by-step explanation:
The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).
Thus,
and we solve for x

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0


The solutions are:

The sum of these x -coordinates is

We can check our work with the graph of the two polynomials.
Answer:ninguna
Step-by-step explanation:
First write down your equation. 2(y-3)=1.2-y. the distribute your 2. 2 times y is 2y and 2 times -3 is -6. now you have 2y-6=1.2-y. bring your y to the other side of the equation with the opposite sign and do the same with your 6. you have 2y+y=1.2+6. combine the like terms and constants. now you have 3y=7.2. divide bother sides of the equal by 3 to get y alone. 3y/3= 7.2/3. your answer is y=2.4.