Answer:
see explanation
Step-by-step explanation:
The translation represented by ![\left[\begin{array}{ccc}1\\4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
interprets as a shift of 1 unit to the right ( add 1 to x- coordinate ) and a
shift of 4 units down ( subtract 4 from the y- coordinate ), then
(1, 4 ) → (1 + 1, 4 - 4 ) → (2, 0 )
(4, 4 ) → (4 + 1, 4 - 4 ) → (5, 0 )
(6, 2 ) → (6 + 1, 2 - 4 ) → (7, - 2 )
(1, 2 ) → (1 + 1, 2 - 4 ) → (2, - 2 )
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67
Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C
Answer:
C
Step-by-step explanation:
(0,-4) (-4, -3)
-3- -4 / -4 -0 = 1/-4 is the slope
so is C
Answer:
The top 20% of the students will score at least 2.1 points above the mean.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean of a certain test is 14 and the standard deviation is 2.5.
This means that 
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:




16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.