Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C. 
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:

THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.
The square root of 10 is 3.1 but to estimate it find the square root of 9 which is 3
Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective

= 
= 
= 0.33357
= 33.33%
Answer:
each shirt is $4.20
Step-by-step explanation:
42/10 = 4.2
The final grade of fran can be calculated
by multiplying the corresponding percentage of his average homework, quizzes
and tests, then sum it up and it is now the final grade of fran.
Final grade = (0.10 x 92) + ( 0.20 x 68) +
(0.70 x 81)
<span>Final grade = 79.5 </span>