Answer:
(- infinite, infinite) , {x| x sum r}
range ) (-infinite. infinite) .{y|sumR}
Step-by-step explanation:
graphic picture
Answer:
Step-by-step explanation:
Since this is a system with two equations, we can easily use a graphing calculator to find the solution
The intersection between the graphs of the equations
y = 3x + 10
2y = 6x – 4 (if we divide by two)
y = 3x - 2
However, we can see that the graphs have the same slope m = 3
Since both equations are not equal, there is no solution for this system
Please see attached graph. The lines are parallel and they never touch each other.
25 people can dig the hole of 50 m deep in
hours
Explanation
4 people can dig a hole 20 m deep in 3 hours
So, 1 people can dig a hole 20 m deep in (3×4)hours= 12 hours [If the number of people decreases, then the time taken to dig the hole will increase]
and 1 people can dig a hole 1 m deep in (
)hours =
hours = 0.6 hours
Now, if 1 people dig the hole of 50 m , then the time needed = (0.6×50) hours = 30 hours
So, 25 people can dig the hole of 50 m deep in =
hours
The GRE Scores are represented as ~N(310,12)
In order to find the proportion of scores between 286 and 322, we need to standardize the scores so we can use the standard normal probabilities. Thus, we will find the z-score.
![z-score = \frac{286 - 310}{12} = -2](https://tex.z-dn.net/?f=z-score%20%3D%20%20%5Cfrac%7B286%20-%20310%7D%7B12%7D%20%3D%20%20-2)
![z-score = \frac{322 - 310}{12} = 1](https://tex.z-dn.net/?f=z-score%20%3D%20%20%5Cfrac%7B322%20-%20310%7D%7B12%7D%20%3D%201%20)
By looking on the standard normal probabilities table, we find the proportion of scores less than -2.
P(z < -2) = 0.0228
Then, we find the proportion of scores less than 1.
P(z < 1) = 0.8413
To find the proportion between -2 and 1, we subtract the two.
P(-2 < z < 1) = 0.8413 - 0.0228 = 0.8185 = 81.85%
Therefore, 82% of scores are between 286 and 322
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21