Answer:
-499,485.
Step-by-step explanation:
We can transform this to an arithmetic series by working it out in pairs:
6^2 - 7^2 = (6-7)(6+7) = -13
8^2 - 9^2 = (8-9)*8+9) = -17
10^2 - 11^2 = -1 * 21 = -21 and so on
The common difference is -4.
The number of terms in this series is (998 - 6) / 2 + 1
= 992/2 + 1 = 497.
Sum of n terms of an A.S:
= n/2 [2a1 + (n - 1)d
Here a1 = -13, n = 497, d = -4:
Sum = (497/2)[-26 - 4(497-1)]
= 497/2 * -2010
= -499,485.
Answer:
hello your question has some missing information attached below is the missing information
answer : 112 black balls
Step-by-step explanation:
Given data:
Each bag contains ; 10 balls
Total number of ball = 100 balls
<u>first: calculate the number of Black balls to be picked from the three bags</u>
From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls
From bag 2 = 0.8 * 0.45 * 10 = 3.6 balls
From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball
Total black balls picked = 5.6
∴ percentage of black balls picked given that each bag contains 10
5.6 / 10 * Total balls available = 56 balls = 56% of 100 balls
Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 = 112 balls
Answer:
ok
Step-by-step explanation:
Answer:
Answer: 9 (y - 2) (y + 2)
Step-by-step explanation:
Factor the following:
9 y^2 - 36
Factor 9 out of 9 y^2 - 36:
9 (y^2 - 4)
y^2 - 4 = y^2 - 2^2:
9 (y^2 - 2^2)
Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):
Answer: 9 (y - 2) (y + 2)
Step-by-step explanation:
The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.
23.827 rounds up because the 8 is more than 5.
1.218 rounds down because 2 is less than 5.
24-1= 23
