Answer:
<-3,4>
<0,-5>
Step-by-step explanation:
|-3w| = 15
3|-w| = 3|w| = 15
|w| = 
|w| = 5
- If vector w is represented by <1,-9>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-3,4>
Then |w| =
.
Therefore this is possible.
- If vector w is represented by <4,5>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-5,-3>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <0,-5>
Then |w| =
.
Therefore this is possible.
(NOTE : if z vector is represented by <x,y> then |z| =
)
Answer:
(-3.5, 2)
Step-by-step explanation:
If you were to graph all the other points it would look like the picture below, so to complete the rectangle it has to be (-3.5,2)
1/2t=3/4
I believe you need to find t here
So I would do 3/4/1/2 which would be 3/4*2/1
3/4*2/1= 6/4
6/4=3/2
Answer:
2.28% of faculty members work more than 58.6 hours a week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
The average full-time faculty member in a college works an average of 53 hours per week. Standard deviation of 2.8 hours.
This means that 
What percentage of faculty members work more than 58.6 hours a week?
The proportion is 1 subtracted by the p-value of Z when X = 58.6. So



has a p-value of 0.9772
1 - 0.9772 = 0.0228
0.0228*100% = 2.28%
2.28% of faculty members work more than 58.6 hours a week.
Answer:
94cm squared
Step-by-step explanation:
you find the area of each side by doing base times height and you add the six of them all together to get your answer