Answer:
John need to get 293 in his next game to bring his average up to 183.
Step-by-step explanation:
John starts with N games played and averaging 177 points per game.
In game N+1, John scored 199 points.
So, John has now played (N+1) = 22 games.
We need to know what score John needs in game 23 to bring his average to 183.
Answer: The percent higher is 41.68%. If 49 planes were selected, 20 of them should be above 15 years.
To find the percent, we first need the z-score.
(15 - 13.5) / 7.3 = 0.21
Now, use a normal distribution table to find the percent above a score of 0.21. It will be 41.68%.
To find the number of 49 planes above this value, multiply 49 by 0.4168. You will have about 20.4 planes.
Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
Answer:
297.60 & 1497.60
Step-by-step explanation:
I had the question before and got it right
