Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
Answer:
(a) 7.6%
(b) 46.2% 42.4%
Step-by-step explanation:
(a)According to the definition of Continuous probability distribution



⇒ 0.19 × 0.4 = F(69.2) - F(68.8)
⇒ F(69.2) - F(68.8) = 0.076
⇒ 7.6%
(b) Given F(69) = 0.5



⇒ 0.19 × 0.2 = F(69) - F(68.8)
⇒ F(68.8) = 0.5 - 0.038 = 0.462
⇒ 46.2%



⇒ 0.19 × 0.4 = F(69) - F(68.8)
⇒ F(68.8) = 0.5 - 0.076 = 0.424
⇒ 42.4%
Answer:
A
Step-by-step explanation: