Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
![Area = \frac{ \sqrt 3}{4} a^2\\](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%20%5Csqrt%203%7D%7B4%7D%20a%5E2%5C%5C)
![=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%203%7D%7B%204%20%7D%20%5Ctimes%2015%5E2%5C%5C%5C%5C%3D%5Cfrac%7B%5Csqrt%203%7D%7B%204%20%7D%20%5Ctimes%20225%5C%5C%5C%5C%3D%2097.4%20%5C%20cm%5E2)
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
Answer:
e= -2
Step-by-step explanation:
1) distribute so you get 6+0.75e=2-1.25e
2) move the variable to one side so you get 6+2e=2
3) subtract the 6: 2e=-4
4) divide by 2: e= -2
Closed dot on 53, arrow going to the right
5 is b because 3/6 is equivalent to 1/2
6 is a because 1/6 is less than half