Answer : Remaining two observation becomes 97 and 107.
Explanation :
Since we have given that
Mean = 100
Modal value = 98
Range = 10
As we know that ,
Range = Highest-Lowest
Let highest observation be x
Let lowest observation be y
So equation becomes x-y=10 ----equation 1
So, observation becomes
x,98,98,y
Now, we use the formula of mean i.e.
Mean = 
So, mean =
So our 2nd equation becomes
x+y=204
On using elimination method of system of linear equation on these two equation we get,
x=97
and
Hence , remaining two observation becomes 97 and 107.
You are looking for the shaded region that would be contained in both of the inequalities.
You have:
If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
The central angle of a hexagon is :
Ф = 360° : 6 = 60°
The hexagon will map onto itself 6 times.
It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.
Answer:$4,369.17
Step-by-step explanation:
Compound interest (A)= P(1 + r/n)^not
A = compound interest
P = principal
r = rate
n = number of times the interest is compounded in a year
t = Time
From our data,
R = 3.6%
T =30 years
P = $535000
n= 12
A = 535000(1 + 0.036/12)^12*30
A= 535000*2.94
A= $1,572,900
In 30 years, we have (30*12) number of months = 360 months
To get the amount paid monthly, we divide the compound interest by the total number of months they'll repay the loan
Monthly payment = $1,572900/360 = $4,369.17
Answer:
Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other
Step-by-step explanation:
Take for instance 2 linear functions, and
If they intersect in some point in the space, say that is
Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)
So, we can compare the two functions and get the following result;
It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.
hope this helps!
