Answer:
299
Step-by-step explanation:
23x13 = 299
Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
<u>ANSWER</u>
<u>EXPLANATION</u>
This very simple to do.
First locate the entry in 
in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 
.
Then multiply by the scalar which is 2 to get,
.
Next we locate the entry in 
in matrix B also. Which is 
. We multiply by the scalar of 
to get,
.
We now add these two corresponding entries to obtain,
See diagram
Answer:
The mean for this data set is 20
