Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.
The amount of combinations is
being n the number of coins and r the number of grandchildren.
b) If the coins are different, the number of combinations can be calculated as:
c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)
d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:
<span>Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8
Group A mean = (1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2)/9 = 19.53/9 = 2.17
Group B mean = (2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8)/9 = 19.53/9 = 2.17
Therefore, the mean is equal for Group A and Group B.
</span>
Answer:
x^3 - 5 x^2 + 2 x + 8 = 0
Step-by-step explanation:
Solve for x over the real numbers:
x^3 - 5 x^2 + 2 x + 8 = 0
The left hand side factors into a product with three terms:
(x - 4) (x - 2) (x + 1) = 0
Split into three equations:
x - 4 = 0 or x - 2 = 0 or x + 1 = 0
Add 4 to both sides:
x = 4 or x - 2 = 0 or x + 1 = 0
Add 2 to both sides:
x = 4 or x = 2 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 4 or x = 2 or x = -1
The answer to the question is B.
Answer:
k=5
Step-by-step explanation:
1/3 of 15 is five or 15/3=5 and so the equation comes out to be k=5
