Try this option:
A. f(4)=7 - false; explanation: x=4, it means that x>0 and x²-1=4²-1=15 ⇒ f(4)=15.
B. f(1)=0 - true; explanation: x=1, it means that x>0 and x²-1=1-1=0.
C. f(-1)=2 - true; explanation: x=-1, it means that x<0 and -x+1=1+1=2.
D. f(-2)=0 - false; explanation: x=-2, it means that x<0 and -x+1=2+1=3 ⇒ f(-2)=3.
Answer:
(a) No the conclusion is not justified.
b. No
c. Two defective circuits in the sample
Step-by-step explanation:
Ans: (a) No the conclusion is not justified. What is important is the percentage population of defectives;
the sample proportion is only an approximation. The population proportion
for the new process may be more than or less than that of the old process. We can decide to pick two hundred samples and discover that the number of defects is greater than the previous process
(b)
.For the defectives, the population proportion for the new process may be 0.12 or more,
although the sample of defectives is just 11 out of 100
(c) Two defective circuits in the sample. This is because the probability of having two defects from the 100n samples is less than having 11 defects
Just divide the dimensions by 4 (same as multiplying by 1/4) you get 1ft by 2ft
Answer:
$3
Step-by-step explanation:
Let the cost of a book and a pen be $b and $p respectively.
3b +2p= 8 -----(1)
5b +3p= 13 -----(2)
(1) ×3:
9b +6p= 24 -----(3)
(2) ×2:
10b +6p= 26 -----(4)
(4) -(3):
10b +6p -(9b +6p)= 26 -24
Expand:
10b +6p -9b -6p= 2
b= 2
Substitute b= 2 into (1):
3(2) +2p=8
6 +2p= 8
2p= 8 -6
2p= 2
p= 2 ÷2
p= 1
Total cost of one book and one pen
= $b +$p
= $2 +$1
= $3
