Answer:
M(3.5, 1)
Step-by-step explanation:
Midpoint formula
x1+x2/2
y1+y2/2
-6 + 13/2 = 3.5
-6 + 2/2 = 1
The median is 7. By definition of "median," half of the data values are below 7; half are above 7. Thus, the first statement is FALSE.
Spread: in the 2nd statement we are comparing the spread from lower quartile (4) to the median (7) and that from the median (7) to the upper quartile (9). In other words, we're comparing 3 to 2. This statement is TRUE.
The 3rd statement is the opp. of the 2nd statement, and thus is FALSE.
The 4th statement is FALSE. See my comments regarding the 1st statement.
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
The answer is R=0.053707443....
Round to the nearest decimal place as it asks for
i hope this helps :)
Answer:
6/25 x 3/4 = 18/100 % 16/5 = 18/100 x 5/16 = 90/1600 or 0.05625
Can also be simplified to 9/160
