<span> The place value
relationship of 0.5 and 0.05 in the given number
=> 0.5 and 0.05 are decimal numbers because they are place next to the
decimal points.
=> 0.5 placed next to decimal point is tenths and 0.05 is in hundredths.
Now, what’s the relation of both numbers?
=> 0.5 is 10 times greater than 0.05
=> How? Let’s try solving it
= 0.5 = 5/10
=> 0.05 = 5/100
=> 0.05 x 10 = 0.5
=> 0.5 + 0.05 = 0.55
</span>
Yes they just have the same amount of decimal points
Answer:
16.75 cubic inches
Step-by-step explanation:
<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>
1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.
- Volume of a sphere -->
(V = volume, and r = radius) - Volume of a cylinder -->
(V = volume, r = radius,h = height)
These formulas will be needed.
2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.
3) Let's start by finding the volumes:
- Cylinder -->
We have the radius (which is 2) and the height (which is 4)
- This means we can solve -->
- 2 squared is 4, so then it would be -->
- 4 times 4 is 16 so
---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi). - Next is the Sphere-->
We have the radius (which is 2) so we can solve
- 2 cubed is 8, so it would be -->
- 8 times 4/3 is 32/3 so -->
--> which is Around 33.51 cubic inches
4) Now we have to find the difference, so we do:
This means your answer would be 16.75 as that is the closest one.
<em>Hope you understood and have a nice day!! :D</em>
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
Answer:
2/9
Step-by-step explanation:
The Poisson’s distribution is a discrete probability distribution. A discrete probability distribution means that the events occur with a constant mean rate and independently of each other. It is used to signify the chance (probability) of a given number of events occurring in a fixed interval of time or space.
In the long run, fraction of time that it rains = E(Number of days in rainy spell) / {E(Number of days in a rainy spell) + E(Number of days in a dry spell)}
E(Number of days in rainy spell) = 2
E(Number of days in a dry spell) = 7
In the long run, fraction of time that it rains = 2/(2 + 7) = 2/9
