Step-by-step explanation:
When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:
- If the values of m and c in both equations are the same, they have infinitely many solutions
- If only the value of m is the same, they have no solutions
- If neither is the same, they have 1 solution
Bearing this in mind, we have the following answers:
y = -6x - 2 and y = -6x - 2
=> Infinitely many solutions
y = 0.5x + 5 and y = 0.5x + 1
=> No solutions
y = 0.25x + 2 and y = 5x - 4
=> 1 solution
y = 2x + 3 and y = 4x - 1
=> 1 solution
y = 2x + 5 and y = 2x + 5
=> Infinitely many solutions
y = -x - 3 and y = -x + 3
=> No solutions
Answer:
0.6856
Step-by-step explanation:
![\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20missing%20part%20of%20the%20question%20states%20that%20we%20should%20Note%3A%20that%20%20N%28108%2C20%29%20model%20to%20%7D%20%5C%5C%20%5C%5C%20%20%5Ctext%7B%20%7D%20%5Ctext%7Bapproximate%20the%20distribution%20of%20weekly%20complaints%29.%5D%7D)
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (
108,
= 20)
Using Z scores:

As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;

Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
Answer: The answer would be at 11:45.
Step-by-step explanation: First I though, if they stoppedd for lunch at 1:20 and they've been doing yard work for 1 hour and 35 minutes, I would subtract. 1 hour taken away from 1:20 would be 12:20. Then, since it would be hard to subtract 35 minutes from 12:20, 35 minutes - 20 minutes = 15 minutes. 12:20 subtract 20 minutes = 12:00. 12:00 - 15 minutes equal to 11:45. I hope this helps. I know this explanation can be confusing but it's the best I can do at the moment.
<h3 />
<span>16 - 4 = 12
36 - 9 = 27
Next trio..
44 - 11 = 33
,,,the next number</span>