Answer:
two coins are flipped:
- if dime land heads and nickel land heads then Allan wins
- if dime land heads and nickel land tail then Beth wins
- if dime land tail and nickel land heads then Carlos wins
- if dime land tail and nickel land tail then Denesha wins
Step-by-step explanation:
The method described above is fair since the probability of each case is 0.25.
If the two coins are flipped:
- The probability dime land head is 0.5
- The probability dime land tail is 0.5
- The probability nickel land head is 0.5
- The probability nickel land tail is 0.5
Then the probability dime land heads and nickel land heads is 0.5 × 0.5 = 0.25.
The other four cases are calculated similarly and their probability is also 0.25
So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.
Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
Step-by-step explanation:
yes because 61 is less than 87