Answer: The first outcome shall be 0.33 or 33%.
The second outcome would be 0.5 or 50%
Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;
P(Red) = Number of required possibilities/Number of all possibilities
P(Red) = 1/3
P(Red) = 0.33
Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.
After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;
P(Red) = Number of required outcomes/Number of possible outcomes
P(Red) = 1/2
P(Red) = 0.5
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = 
As given,
V = 
⇒
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
Answer:
∠72°.
Step-by-step explanation:
If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

Cross multiply:

Divide both sides by '20':
x = 72°.
Therefore, the measure of the central angle of the arc is ∠72°.
Answer:
I would say b since this defintally usally you aren't expeced to use math ouside of math class at school
Hope This Helps!!!
Answer:
degrees.
Step-by-step explanation:
Line ABC is a straight line, and the angle on a straight line is always 180 degrees.
Since ABD + DBC = ABC, we know that 

Divide both sides by 9:

DBC is
degrees.