Answer
<span>A. (3a − x)(2b + y)
cause
</span><span> (3a − x)(2b + y) = 6ab + 3ay -2bx -xy (expand by using distributive property)</span>
Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.
Answer:
125,000,000
Step-by-step explanation:
In percentage,
Media + Sales = 3 + 17 = 20%
Let total budget be "t", so we can say:
20% of total budget is 25,000,000
"of" means "multiplication" and "is" means "equal to", so we can convert word equation to algebraic equation. Shown below:
20% * t = 25,000,000
20% = 20/100 = 0.2
Thus, the final equation is:
0.2t = 25,000,000
Solving for t, we get:

The total budget is (125 million) = 125,000,000
Answer:
37.5 revolutions
Step-by-step explanation:
The average rotation speed for the first second and for the last two seconds is:

For the next 3.0 seconds, the rotation speed is V = 500 rpm.
The total number of revolutions, converting rpm to rps, is given by:

The DVD makes 37.5 revolutions.