Answer:
No solution
Step-by-step explanation:
![-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9\\\\](https://tex.z-dn.net/?f=-3x-4y-3z%3D-7%5C%5C2x-6y%2B2z%3D3%5C%5C5x-2y%2B5z%3D9%5C%5C%5C%5C)
Lets consider the equation 2.
Here we multiply the LHS and RHS with (-1).
![-3x-4y-3z=-7\\-(2x-6y+2z)=-3\\5x-2y+5z=9\\\\](https://tex.z-dn.net/?f=-3x-4y-3z%3D-7%5C%5C-%282x-6y%2B2z%29%3D-3%5C%5C5x-2y%2B5z%3D9%5C%5C%5C%5C)
Hence,
![-3x-4y-3z=-7\\-2x+6y-2z=-3\\5x-2y+5z=9\\\\](https://tex.z-dn.net/?f=-3x-4y-3z%3D-7%5C%5C-2x%2B6y-2z%3D-3%5C%5C5x-2y%2B5z%3D9%5C%5C%5C%5C)
When we add the equations we get,
![0x+0y+0z=-10+9\\Hence,\\0=-1](https://tex.z-dn.net/?f=0x%2B0y%2B0z%3D-10%2B9%5C%5CHence%2C%5C%5C0%3D-1)
As 0 doesn't equal to -1, answer is d) No solution
Answer:
The median of the data is 46.
Step-by-step explanation:
Put the numbers in order so it would look like this.
24, 27, 29, 38, 54, 61, 68, 74
The ones in the middle would be the mean, however, there are two numbers in an even-number data, 38 and 54.
Add these two numbers together to get 92 and divide that number by 2 to get your median which is 46.
Answer:
c or a i just did the test
Step-by-step explanation:
Answer:
Step-by-step explanation:
Suppose the time required for an auto shop to do a tune-up is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean time
s = standard deviation
From the information given,
u = 102 minutes
s = 18 minutes
1) We want to find the probability that a tune-up will take more than 2hrs. It is expressed as
P(x > 120 minutes) = 1 - P(x ≤ 120)
For x = 120
z = (120 - 102)/18 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.8413
P(x > 120) = 1 - 0.8413 = 0.1587
2) We want to find the probability that a tune-up will take lesser than 66 minutes. It is expressed as
P(x < 66 minutes)
For x = 66
z = (66 - 102)/18 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
P(x < 66 minutes) = 0.02275