Answer:
He have <u>0.96 acres</u> of early corn.
Step-by-step explanation:
Given:
Toms garden is 8 acres. Two fifths is corn.
Of that, three tenths is early corn and one tenth is late corn.
Now, to find the acres of early corn.
Total garden = 8 acres.
Total Corn in garden = 
acres.
<em>As, given of the total corn in garden, three tenths is early corn.</em>
Now, to get the early corn he have:
= 
= 
= 
= 
Therefore, he have 0.96 acres of early corn.
2 and 17/24
first find the common denominator of 24.
51 and 8/24 minus 48 and 15/24 equals 2 and 17/24
(-1,2) is where it will intersect
Since the sum of the angles of a triangle = 180°
Then <span>80º + (2x + 2)º + 5xº = 180</span>°
82° + (7x)° = 180°
(7x)° = 180° - 82°
x = 98° ÷ 7
∴ x = 14
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
