Answer:
1. Diameter
2. more than 1 but less than 2
3. ans: 3.14
4. ans: 3.142
5. 33.7 inches
6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11
f) 86.11
Answer:
Total space in the box is 75.2 cm³.
Step-by-step explanation:
Cone:
- It is three dimension shape.
- It has a vertex.
- The slant height of a cone
, 
= slant height, r= radius of the base, h= height - The lateral surface area is πrl
- The volume of a cone is
.
The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.
So, the volume of the cone is =
cm³
The volume 1 dozen carrots is = (12×2π) cm³
=75.4 cm³
The volume of the box= The volume of the 1 dozen carrot.
Total space in the box is 75.2 cm³.
I'm not really a big fraction type person, but I'm sure it's 7.625
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
