Factors of 9: 1; 3; 9
Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36
GCF(9; 36) = 9
Answer:
(a)The probability that both marbles are blue=5/18
The probability that both marbles are yellow=1/6
(b)The probability that exactly one marble is blue=5/9
Step-by-step explanation:
Blue marbles=5
Yellow marbles=4
Total marbles=5+4=9
(a)
Probability of drawing first blue marble=5/9
Probability of drawing second blue marble without replacement=4/8
The probability that both marbles are blue
Probability of drawing first yellow marble=4/9
Probability of drawing second yellow marble without replacement=3/8
The probability that both marbles are yellow
(b)
The probability that exactly one marble is blue
=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)
The probability that exactly one marble is blue
=
=
=
Answer:
A company has learned that the relationship between its advertising and sales shows diminishing marginal returns. That is, as it saturates consumers with ads, the benefits of increased advertising diminish. The company should expect to find a linear association between its advertising and sales - This statement is false
Step-by-step explanation:
According to the scenario given for the company, it was said that the marginal return diminished after a saturation point, therefore, the company should rather expect a non-linear pattern and not a linear pattern.
Therefore, the statement expressed in the question is false.
Answer:
1001.66 in²
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Slant height (l) = 18 in
Diameter (d) = 22 in
Surface Area (SA) =.?
Next, we shall determine the radius of the cone. This can be obtained as follow:
Diameter (d) = 22 in
Radius (r) =.?
Radius = diameter /2
Radius = 22/2
Radius (r) = 11 in.
Finally, we determined the surface area of the cone as follow:
Pi (π) = 3.14
Slant height (l) = 18 in
Radius (r) = 11 in.
Surface Area (SA) =.?
SA = πr² + πrl
SA = (3.14 × 11²)+ (3.14 × 11 × 18)
SA = (3.14 × 121) + 621.72
SA = 379.94 + 621.72
SA = 1001.66 in²
Therefore, the surface area of the cone is 1001.66 in²
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation;
3*n-4-(14)=0
Pull out like factors :
3n - 18 = 3 • (n - 6)
Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : n-6 = 0
Add 6 to both sides of the equation :
n = 6