Answer:
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
She scored better a proportion of the class given by the p-value of z = 1.29
z = 1.29 has a p-value of 0.9015.
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Answer:
D
Step-by-step explanation:
if you roll a die and you want to get a 6, there are 6 sides on the cube, 5 that are not 6 and 1 that is. so the odds against you rolling a 6 are 5 to 1
They have the same y coordinate, 8, so all we need to figure out is the distance between -12 and 2 of this horizontal line.
to do this add 12 and 2, you should get 14.
now using this information, find the expression that is equal to 14.
|-12|+|2|=14
|-12|-|2|=10
|8|+|8|=16
|8|-|8|=0
as we can see, the first expression would be the correct one.
The given data of the problem are 42 combined dvds from Carly and Rob and Carly having 4 more dvds than Rob. Now, the problem wants to find out how many dvds did Rob and Carly owned before combining them. We got a total of 42 dvds at hand, so let's divide it by 2 for Carly and Rob so we have 21 dvds each however, the problem emphasized that Carly had 4 more dvds than Rob. So, 21 dvds added by 4 dvds is the total number of dvds that Carly previously owned meaning Carly owned 25 dvds before while Rob owned only 17 dvds.
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation: