Answer:
Step-by-step explanation:
For n=129 and with leaf unit = 0.1, the stem and leaf chart of the given data on Shower-flow rate (L/min) is as follows:
2 28
Stem leaves
3----------1344567789
4----------01356889
5----------00001114455666789
6----------0000122223344456667789999
7----------00012233455555668
8----------02233448
9----------012233335666788
10----------2344455688
11--------- 2335999
12---------- 17
13-------- 9
14--------36
15---------- 0035
16---------None
17---------None
18 ----------3
* From steam and leaf chart we note that minimum Shower flow rate is 2.2 whereas maximum is 18.3 L/mim. Further typical or representative rate is 7.0 L/min.
* The display of data on steam and leaf chart shows that data is positively skewed means concentration of data on left side or lower value side is high as compared to other side.
* Distribution is not symmetric rather very clear positive skew ness is observed through steam and leaf chart. Even distribution is Unimodal.
* From steam and leaf chart is indicative to conclude that the highest observation 18.3 is outlier.
Answer:
A man spends 8/5 of his salary rent. If his left with & 2940. Find his salary:
Step-by-step explanation:
-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)
We calculate the floor area of the kitchen:
A = (22) * (16)
A = 352 feet ^ 2
We consider the following conversion:
1 foot = 12 inches.
Applying the conversion we have:
A = 352 * (12/1) ^ 2
A = 50688 in ^ 2
We calculate the area of each tile:
A = (16) * (16)
A = 256 in ^ 2
Then, the number of tiles is given by:
N = (50688) / (256)
N = 198
Answer:
He needs to buy 198 tiles
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
