X/29 = 2/5.8
(X) x (5.8). (2) x (29)
5.8x = 58
58/5.8
X = 10
Answer:
the possible outcome sequences when a die is rolled 4 times is 1296
Step-by-step explanation:
Given the data in the question;
a die is rolled 4 times
and outcomes are { 3, 4, 3, 1 }
we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }
Now when we roll a die lets say, r times
then the total number of possible outcomes will be;
N = ![n^r](https://tex.z-dn.net/?f=n%5Er)
given that; r = 4
Hence if we roll a die 4 times;
Total number of possible outcome N = 6⁴
N = 1296
Therefore, the possible outcome sequences when a die is rolled 4 times is 1296
The minimum and maximum of the set alone is 25 and 60. The range of that 35. So, the number is not less than or more than 25 or 60.
The set in order:
25, 36, 48, 52, 60
The median is 48, so the number has to be less than 48. Let's see if the number may be less than 36.
36+48
84
42
So, the number is right between 36 and 48.
43.5×2
87
Let's subtract 48 from that
87-48
39
So, the mssing value is 39. Let's check.
25, 36, 39, 48, 52, 60
48+39
87÷2
43.5
So the missing value is 39.
Answer:
380.1
Step-by-step explanation:
A=
r^2
A=
*11*11
A~ 380.13 m^2
nearest tenth: 380.1
For this case we must solve the following equation:
![\frac {4} {5} p + 6 = - \frac {1} {3} p-3](https://tex.z-dn.net/?f=%5Cfrac%20%7B4%7D%20%7B5%7D%20p%20%2B%206%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B3%7D%20p-3)
Adding
to both sides of the equation we have:
![\frac {4} {5} p + \frac {1} {3} p + 6 = -3\\\frac {3 * 4 + 5 * 1} {3 * 5} p + 6 = -3\\\frac {12 + 5} {15} p + 6 = -3\\\frac {17} {15} p + 6 = -3](https://tex.z-dn.net/?f=%5Cfrac%20%7B4%7D%20%7B5%7D%20p%20%2B%20%5Cfrac%20%7B1%7D%20%7B3%7D%20p%20%2B%206%20%3D%20-3%5C%5C%5Cfrac%20%7B3%20%2A%204%20%2B%205%20%2A%201%7D%20%7B3%20%2A%205%7D%20p%20%2B%206%20%3D%20-3%5C%5C%5Cfrac%20%7B12%20%2B%205%7D%20%7B15%7D%20p%20%2B%206%20%3D%20-3%5C%5C%5Cfrac%20%7B17%7D%20%7B15%7D%20p%20%2B%206%20%3D%20-3)
Subtracting 6 from both sides of the equation:
![\frac {17} {15} p = -3-6](https://tex.z-dn.net/?f=%5Cfrac%20%7B17%7D%20%7B15%7D%20p%20%3D%20-3-6)
Equal signs are added and the same sign is placed:
![\frac {17} {15} p = -9](https://tex.z-dn.net/?f=%5Cfrac%20%7B17%7D%20%7B15%7D%20p%20%3D%20-9)
We multiply by 15 on both sides of the equation:
![17p = -9 * 15\\17p = -135](https://tex.z-dn.net/?f=17p%20%3D%20-9%20%2A%2015%5C%5C17p%20%3D%20-135)
We divide between 17 on both sides of the equation:
![p = - \frac {135} {17}](https://tex.z-dn.net/?f=p%20%3D%20-%20%5Cfrac%20%7B135%7D%20%7B17%7D)
Thus, the value of the variable p is ![- \frac {135} {17}](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B135%7D%20%7B17%7D)
Answer:
![p = - \frac {135} {17}](https://tex.z-dn.net/?f=p%20%3D%20-%20%5Cfrac%20%7B135%7D%20%7B17%7D)