Answer:
12 tiles will fit
Step-by-step explanation:
1/2 foot is 6 inch
6 inch times 12 is 6ft
Answer:
Radius of the convergence is R = 
and,
The Interval of convergence is 
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R = 
or
R = 
or
R = 
now,
for convergence R|x| < 1
Therefore,
< 1
or

and,
Radius of the convergence is R = 
and,
The Interval of convergence is 
Answer:
hello your question is incomplete, the missing part of the question is attached below
answer :
1) β1 = 0.25
β2 = 4.85
2) 40.55 + 0.25 ( math score ) + 4.85 ( hours )
Step-by-step explanation:
<u>1) The estimate for β1 and β2 </u>
From the attached excel result the estimates are ;
β1 = 0.25 : This shows the change in the mean value of the final score in relation to the change in math score while the time is kept constant
β2 = 4.85 : This represents the change in the mean value of the final score in relation to the change in time while the math score is held constant
<u>2) sample regression equation</u>
The Final sample regression equation = 40.55 + 0.25 ( math score ) + 4.85 ( hours )
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5