Answer:
m∠S = 54.1°
Step-by-step explanation:
Use the law of cosines
37.21 = 10.24 + 54.76 - 47.36 cos S
-27.79 = -47.36 cos S
.586782 = cos S
arccos .586782 = S
m∠S = 54.1°
It would be D. Stratified due to the fact that it couldn't possibly be any of the others. It isn't random because it is only women, Cluster isn't correct either, a cluster would mean "random" people which is the same as different people in a small group. It isn't Convenience due to the fact that "Convenience wouldn't even make sense in this situation. Lastly, Systematic and stratified are really close but one would still be more logical than the other.
Answer:
3780.
Step-by-step explanation:
To solve this we will start by just considering the number of ways to arrange 9 objects. We can do this in 9! ways.
However since we have 3 reoccurring letters in Tennessee namely n,s and e we need to remove the times these form the same arrangement. Let me give an example to show what this means. Lets say we have the arrangement:
ennetssee
Now what happens if we exchange the places of the letters n for example? Of course we get the same arrangement of letters. We don’t want to count these as 2 different arrangements since for our interests they are the same. We therefore divide 9! by the number of times this type of double counting occurs.
Since the word has the letter n occurring twice we will start by diving by 2! .
The letter s occurs 2 times as well so we will have to divide by 2! again.
Finally the letter e occurs 4 times and so we will have to divide by 4! here.
Now we get the following result:
9/(2 x 2 x 4)=3780.
So in conclusion there are 3780 different ways to arrange the letters in Tennessee.
Answer:
10
Step-by-step explanation:
5/x = 4/8
Cross multiply
4*x = 5*8
4x = 40
x = 10
Answer is 10
You are correct
Answer:
Option C. No, because the two populations from which the samples are selected do not appear to have equal variances.
Step-by-step explanation:
The variance measures how far a set of (random) numbers are spread out from their average value.
The fact that the younger adults show diversity in their brain activity while the older adults produce similar activities show that there are no equal variances in the two populations from which the samples are selected.
Therefore it would not be valid for Dr. Park to use the independent-measures t-test to test whether the brain activity of younger adults is different from that of older adults during a visual recognition task
