So how you do scientific notation is, however many places you move the decimal point to the left is the number that you put in the power. For example, Mercury's mass is 330,000,000,000,000,000,000,000. You move the decimal point 23 places to the left to get 3.3 x 10^23. ( ^ means power. The little number that is next to the 10)
Now according to the question, the mass of Jupiter is 5.8 x 10^3 multiplied by 3.3 x 10^23 (5,800 x 330,000,000,000,000,000,000,000).
The answer to part A is,
1,941,000,000,000,000,000,000,000,000
Then, 3.2 x 10^2(X)=5.8 x 10^3 x 3.3 x 10^23
I don't know if you know how to do algebra, but this is very simple to solve. All you do is divide bolth sides of the equation by 3.2 x 10^2 leaving X (Earths mass) on the left.
For the right side need to divide 320 by 1,941,000,000,000,000,000,000,000,000. This will be the answer to part B
Hopefully this was helpful enough for you to show your work. Good luck : )
The value of 5 ∙ 23 is 115.
The small dot is typically used as a multiplication symbol. When we multiply these two numbers the result is 115.
I don’t know the rest, but I think the 1st and 3rd ones are true! I hope this helps some, I’m sorry if it’s incorrect!
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
