1m = 100cm
1cm → 0.5m
1cm → 0.5 · 100cm = 50cm
The scale: 
length = 26.8cm · 50 = 1,340cm = 13.40m
width = 12.2cm · 50 = 610cm = 6.10m
The area of the court:
A = 13.40 · 6.10 = 81.74 m²
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a
BC is the short leg of ∆ABC
Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3
For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3
CD = a = √3
AD = a√3 = 3
For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1
DB = a = 1
Answer:
b. Divide the quantity of output by the number of hours worked.
Step-by-step explanation:
<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>
Thus, option (b) is correct.
Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.
For Example: The employee who works less hours and assembled more radios has more productivity, that employee knows how to utilize time.
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6
No decreased-
Set up equaivalent ratioo. It started out 2 duck to every 3 geese, continue the pattern and see for a change
ducks 2 4 6
geese 3 6 9
but now its 5 ; 9 instead of 6 to 9, therefore the number of ducks decreased
