Answer:
Question 1: 4.5(10^−7)(2(10^4))
=
9/1000
(Decimal: 0.009)
Question 2:
mass of neutron/mass of electron = 2*10-24/(9*10-28)
2x10^(-24)/9x10^(-28)
d is closest.
Question 3:
4(10^3)(12(10^5))
=4000*1200000
=4*1000*12*100000
=(4*12)*(1000*100000)
=48*100000000
=4800000000
And these things : ^ mean raising the number to become exponets and when I put the number into a bold text thats the answer!
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Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.
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
Answers: a = 49
b = 10
c = 105