Answer: 177
Step-by-step explanation:
1. -2.4
2. 6.7
3. -0.064
4. 32.1 (divide by 4)
5. -14.7
6. -30
7. 3.4
8. 14
9. -410
10. 51000
Answer:
The correct answer is "
". A further solution is provided below.
Step-by-step explanation:
According to the question,
The probability of getting a 5 will be:
= 
= 
The probability of getting a 7 will be:
= 
= 
The probability of not a 5 nor a 7 will be:
= ![1-[\frac{4}{36} +\frac{4}{36} ]](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B4%7D%7B36%7D%20%2B%5Cfrac%7B4%7D%7B36%7D%20%5D)
= 
= 
Now,
For roll of 2 dice,
⇒ 
![=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1%2B%5Cfrac%7B13%7D%7B18%7D%20%2B%5Cfrac%7B13%5E2%7D%7B18%5E2%7D%20%2B%5Cfrac%7B13%5E3%7D%7B18%5E3%7D%20%2B...%5D)
![=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%5Cfrac%7B1%7D%7B1-%5Cfrac%7B13%7D%7B18%7D%20%7D%20%5D)
![=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%7B%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D%20%5D)
The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows:
divide each term by 20
(5y^2)/20-(4x^2)/20=20/20
simplifying gives us:
y^2/4-x^2/5=1
This follows the standard form of the hyperbola
(y-k)²/a²-(x-h)²/b²=1
thus
a=2, b=√5 , k=0, h=0
Next we find c, the distance from the center to a focus.
√(a²+b²)
=√(2²+(√5)²)
=√(4+5)
=√9
=3
the focus of the hyperbola is found using formula:
(h.h+k)
substituting our values we get:
(0,3)
The second focus of the hyperbola can be found by subtracting c from k
(h,k-c)
substituting our values we obtain:
(0,-3)
Thus we have two foci
(0,3) and (0,-3)
Answer: Well if you divide 4200 by 42, you will get 100, which is a multiple of 10
Step-by-step explanation:
