Answer:
Surface area = 70π cm²
Step-by-step explanation:
Surface area = πr² + πrl
Surface area = (π × 5 × 5) + (π × 5 × 9)
Surface area = (25π) + (45π)
Surface area = 70π cm²
Answer:
2 ,-1 -2
Step-by-step explanation:
Answer:
C = 8 + 3x
The rate of change in the above equation is 3 dollars per game and it interpret the cost per game.
The initial value in the above equation is 8 dollars, which interpret the entry fee that every one person has to pay to enter the fair.
Step-by-step explanation:
Let the admission cost of the fair is $x and each game is $3.
Now, Steven went to the state fair, played 4 games and spent a total of $20 on admission and games.
So, we can write 20 = x + 4 × 3 {As the relation is linear}
⇒ x = $8
Therefore, the admission cost in the fair is $8.
Therefore, the equation that models the situation is
C = 8 + 3x ............ (1)
Where C is the total cost and x is the number of games played.
So, the rate of change in equation (1) is 3 dollars per game and it interprets the cost per game.
Again, the initial value in equation (1) is 8 dollars, which interprets the entry fee that each person has to pay to enter the fair. (Answer)
Answer:
Var(U) = 50
Step-by-step explanation:
The properties of variance will be used here
Given
Var(X) = 2
U = 5x+2
We can see that the variable x is multiplied with an integer
Using the property of variance
Var(aX) = a^2 Var(x)
So,
Var(U) = 5^2 Var(x) = 25*2 = 50
For the +2, if the same number is added to all the values of variable there is no change in variance i.e.
Var(X+2) = Var(X)
Hence, the value of Var (U) is 50 ..
Answer:
$624,000
Step-by-step explanation:
100-4 = 96
96/100 = 0.96
650,000 x 0.96 = 624,000
= $624,000
