Answer:
Surface area: 4323pi
Fill the box with the value "4323", as there is a "pi" after the box.
Step-by-step explanation:
We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).
The surface area of the cone, without the base, is:
S1 = pi * r * s
Where s is the slant height.
To find s, we can use the Pythagoras' theorem with the radius and the height:
s^2 = h^2 + r^2
s^2 = 56^2 + 33^2 = 4225
s = 65
So the surface area is:
S1 = pi * 33 * 65 = 2145pi
Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:
S2 = (1/2) * 4 * pi * r^2
S2 = 2 * pi * 33^2 = 2178pi
Finally to find the total surface area we just need to sum both surface areas:
S = S1 + S2 = 2145pi + 2178pi = 4323pi.
As after the box to answer there is a pi, we just need to fill the box with the value "4323"
Answer:
1. C
2. A
3. D
4. B
Step-by-step explanation:
Hopefully its correct
Answer:
a) 54 mph to 144 mph
Step-by-step explanation:
We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
At least eight-ninths of the player's serves.
8/9 is approximately 89%
So
Mean: 99, standard deviation: 15
99 - 3*15 = 54
99 + 3*15 = 144
So the correct answer is:
a) 54 mph to 144 mph
Answer:
12.083
Explanation:
Plug into a calculator.
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
- There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10
- There are two green marbles out of the 10 marbles. 2/10
- 2 divided by 10 is .20 or 20%
- Therefore, there is a 20% probability that the marble will be green.