Answer:
Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:
In case of perfectly inelastic collision v'1 and v'2 are same.
We have following information:
m₁=3 kg
m₂=? kg
v₁=x m/s
v₂=0 m/s
v'1 = v'2 = 1/3 * v₁
Now we insert given information and solve for m₂:
3*v₁ + 0*? = 3*1/3*v₁ + m₂*1/3*v₁
3v₁ = v₁ + m₂*1/3*v₁
2v₁ = m₂*1/3*v₁
2 = m₂*1/3
m₂= 6kg
Mass of second mud ball is 6kg.
Answer:
![\frac{1}{30240}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B30240%7D)
Step-by-step explanation:
Given
ID Card of 5 digits
Possibly Digits = {0,1...,9}
Required
Probability that a card has exact number 94213
First, we have o determine the total possible number of ID card numbers
Let the card number be represented by ABCDE
Given that repetition of digits is not allowed;
<em>A can be any of 10 digits</em>
<em>B can any of the remaining 9 digits</em>
<em>C can be any of the remaining 8 digits</em>
<em>D can be any of the remaining 7 digits</em>
<em>E can be any of the remaining 6 digits</em>
<em />
Total number of cards = 10 * 9 *8 * 7 * 6
Total = 30240
Provided that the card number is generated at random; each card number has the same probability of ![\frac{1}{30240}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B30240%7D)
Hence, the probability of having 94213 is ![\frac{1}{30240}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B30240%7D)
Question 9 answer is 80 and for 10 it is 72 and for 11 it is 112 and for 12 it is 143
Here's the way I see it: 5 cards are drawn, one by one, without replacement. Half (or 26) of the original deck are black and half (26) are white.
P(5 are not black) = P(5 are red)
P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =
(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025 (answer)
We start with 52 cards. We draw one, leaving 51 cards, 25 of which are red. And so on.
Expanded Numbers Form:
<span><span> 4,000,000 </span><span>+500,000 </span><span>+0 </span><span>+8,000 </span><span>+200 </span><span>+20 </span><span>+7 </span></span>
Expanded Factors Form:
<span><span> 4 ×1,000,000 </span><span>+5 ×100,000 </span><span>+0 ×10,000 </span><span>+8 ×1,000 </span><span>+2 ×100 </span><span>+2 ×10 </span><span>+7 ×1 </span></span>
Expanded Exponential Form:
<span><span>4 × 106</span><span>+<span>5 × 105</span></span><span>+<span>0 × 104</span></span><span>+<span>8 × 103</span></span><span>+<span>2 × 102</span></span><span>+<span>2 × 101</span></span><span>+<span>7 × 100</span></span></span>
Word Form:
four million,
five hundred eight thousand,
<span>two hundred twenty-seven</span>