Answer:
3,276,000 possible license plates for this state
Step-by-step explanation:
The order is important. For example, if the letters are EM, it is already a different plate than if the letters were ME. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Letters
There are 26 letters in the alphabet. In the plate, there are two letters. So permutations of two from a set of 26.
Digits
There are 10 digits. In the plate, there are four. So permutations of 4 from a set of 10
Total
Multiplying these values
650*5040 = 3,276,000
3,276,000 possible license plates for this state
Answer:
Step-by-step explanation:
If AB is diameter, the angle opposite to it, when a triangle is inscribed in that semi circle, will be 90 degrees.
<u>Given that:</u>
AB is the diameter.
According to what is given, we come to know that <ACB = x = 90°.
Hope this helped!
<h3>~AH1807</h3>
Answer:
126ft^2
Step-by-step explanation:
1/2 * 7/4 = 7/8 in^2
1/2 here = 6 ft
1 in = 12ft
3/4 = 9 ft
6*21 = area
126ft^2
Answer:
Option C: E(X) = 1.65
Step-by-step explanation:
Expected value of X, E(X) = ∑XP(X)
∑ = Summation
X = number of hours
P(X) = probability of a certain number of hours
E(X) = (0*P(X=0)) + (1*P(X=1)) + (2*P(X=2)) + (3*P(X=3)) + (4*P(X=4))
E(X) = (0*0.2) + (1*0.2) + (2*0.4) + (3*0.15) + (4*0.05)
E(X) = 0 + 0.2 + 0.8 + 0.45 + 0.20 = 1.65
E(X) = 1.65 - Option C