Answer:
335.4
Step-by-step explanation:
You can use the Pythagorean Theorem (a^2 + b^2 = c^2)
300^2 + 150^2 = 112500
The square root of 112500 is 335.4
Answer:
10x + 35
Step-by-step explanation:
Answer:
<em>The probability that exactly 2 of the rolls is a sum of 7 will is </em><em>0.296</em>
Step-by-step explanation:
The probability of rolling a sum of 7 when rolling two dice simultaneously is 0.167.
Let us assume that, A be the event that the sum is 7. So,
![P(A)=0.167](https://tex.z-dn.net/?f=P%28A%29%3D0.167)
Binomial probability represents the probability that a binomial experiment results (i.e either success or failure or only two results) in exactly x successes.
![b(x;\ n, p) =\ ^nC_x \cdot p^x \cdot (1-p)^{n - x}](https://tex.z-dn.net/?f=b%28x%3B%5C%20n%2C%20p%29%20%3D%5C%20%5EnC_x%20%5Ccdot%20p%5Ex%20%5Ccdot%20%281-p%29%5E%7Bn%20-%20x%7D)
So the probability that exactly 2 of the rolls is a sum of 7 will be,
![P(2) =\ ^{12}C_2 \cdot (0.167)^2 \cdot (1-0.167)^{12 - 2}](https://tex.z-dn.net/?f=P%282%29%20%3D%5C%20%5E%7B12%7DC_2%20%5Ccdot%20%280.167%29%5E2%20%5Ccdot%20%281-0.167%29%5E%7B12%20-%202%7D)
![=\ ^{12}C_2 \cdot (0.167)^2 \cdot (0.833)^{10}](https://tex.z-dn.net/?f=%3D%5C%20%5E%7B12%7DC_2%20%5Ccdot%20%280.167%29%5E2%20%5Ccdot%20%280.833%29%5E%7B10%7D)
![=66 \cdot (0.167)^2 \cdot (0.833)^{10}](https://tex.z-dn.net/?f=%3D66%20%5Ccdot%20%280.167%29%5E2%20%5Ccdot%20%280.833%29%5E%7B10%7D)
![=0.296](https://tex.z-dn.net/?f=%3D0.296)
1. 3x + 5x + 14x = 22x
2. 4x + 7 + 11x = 15x+7
3. 10x + 8 - 3x= 7x+8
4. 6x - 5 + X - 11 = 7x-16
5. -8x + 19 + 2 - 2x = -10x+21
6. X + 23 + 4x - 34 - X = 4x-11
7. 105 + 27x - 68 - 19x - 27 + x = 9x +10
8. 7x + 16 - 3x + 3 - 2x - 2x = 19
9. -18 + 6 - 4x + 10 - 11x + 2 = -15x
10. 16 + 4x - 12x - 28 - 6x + 17 + x - 1 = -13x+4
Step-by-step explanation:
substitution:
7x-9= 3x-1
4x= 8
x=2