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
You would have to multiply 120 x 20 then divide by 8. I hope that helps you!
Distance from house to work (D) is 6km (A). House and school is 6cm on map 6cm=9km
so 4cm = (d)km
6....4
---X--- = (6 x d) 6d = (9 x 4) 36 so now
9....d
divide to get (d) 6d/6=36/6 so D=6
above are fractions sorry for the decimal points it wouldn't place the spaces without them.
Answer:
True answers for data in the plot are
The center is 13
The center is not 14
The Peak is 14.
It has three clusters
It is not symmetric to left or right it is bi-modal.
It is has a range from 10 to 15 most number of data points are 13 to 15.
Total number times Shelly waited is 16 times.
Step-by-step explanation:
While taking cumulative frequency 56.75 percentage comes in 13%.
It is the center point of the data.
The 14 is not the center as it shows 93rd percent.
It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
It is not skewed on the left is has bi modal frequency has two heights.
The person indeed waited for 16 times adding total dots.
There was a zero 12 which created bi-modal distribution
