9514 1404 393
Answer:
D. G(x) = (x+3)² -2
Step-by-step explanation:
G(x) is translated left 3 and down 2 from F(x). The transformation ...
G(x) = F(x -h) +k
is a translation right h units and up k units. We have h=-3 and k=-2, so the function of interest is ...
G(x) = F(x +3) -2
G(x) = (x +3)² -2
Answer:
the probability that a sample of the 35 exams will have a mean score of 518 or more is <em> 0.934 </em>or<em> 93.4%</em>.
Step-by-step explanation:
This is s z-test because we have been given a sample that is large (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:
(520 - 518) / (180/√35)
= 0.0657
Therefore, the probability is:
P(X ≥ 0.0657) = 1 - P(X < 0.0657)
where
- X is the value to be standardised
Thus,
P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)
= 1 - 0.0657
= 0.934
Therefore, the probability that a sample of the 35 exams will have a mean score of 518 or more is <em>0.934 or 93.4%</em>.
Answer:
3
Step-by-step explanation:
Parallel lines have equal slopes, thus
line AB is parallel to line CD
Answer:
205.75
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 11.5*8=92
rec 2: (12.5-5)*(18.5-8-7)=26.25
rec 3:7*12.5=87.5
Then:
92+26.25+87.5=205.75
