Answer:
greatest common factor is 2
Step-by-step explanation:
4k, 18k^4, 12
To find greatest common factor , we write each term in factor form
factors form are the product of the factor of given term
4k ---> 2 * 2* k
18k^2 ----> 3 * 3* 2* k*k
12 -----> 2*2*3
all the three terms has common factor 2
So GCf is 2
From the table, for every 6 containers of water, you need 8 containers of red dye. So, for every one container of red dye you need 0.75 containers of water (6/8). Then, multiply that by 100 (since you wanted to know water necessary for 100 containers of red dye). For 100 containers of red dye, you would need 75 containers of water.
Answer:
Radius of the sphere is 5m.
Step-by-step explanation:
We have given the volume of sphere 
we have to find the radius of the sphere

On substituting the given value of volume of sphere we get

After simplification we get:



Hence, the radius of sphere is 5m
Answer:
Area = 33√3
Perimeter = 122
Step-by-step explanation:
This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2
perimeter (6 + 11) × 2 = 122
The area is calculated by multiplying height to the base
there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11
Therefore the area of this parallelogram is
3√3 × 11 = 33√3
Answer:
68%
Step-by-step explanation:
Probability of occurrence of Event v = P(v) = 28% = 0.28
Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19
We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)
The formula to calculate this conditional probability is:

Using the given values, we get:

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%