Answer:
11 up , 11 left
Step-by-step explanation:
Given
to
Required
Determine the translation rule
Considering the x coordinates.
From 17 to 6
6 is to the left of 17.
Using the translation rule:
<em>Hence: From 17 to 6 is 11 units left translation</em>
Considering the y coordinates.
From -9 to 2
2 is at the top -9.
Using the translation rule:
The negative value impies a upward translation.
Hence: From -9 to 2 is 11 units up translation
Answer:
2.87%
Step-by-step explanation:
We have the following information:
mean (m) = 200
standard deviation (sd) = 50
sample size = n = 40
the probability that their mean is above 21.5 is determined as follows:
P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]
P (x> 21.5) = P (z> -22.57)
this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:
P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]
P (x> 215) = P (z> 1.897)
P (x> 215) = 1 - P (z <1.897)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) =.0287
Therefore the probability is approximately 2.87%
