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Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
6 - 2x = 6x - 10x + 6
1. Isolate the variable (x)
6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6
- Subtract 6 from both sides
6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x
2. Combine like terms
0 = 6x - 10x + 2x -> 0 = -2x
3. Solve
0 = x
*Note: 0 divided by anything is 0 so 0/-2 is 0
(unless it is 0/0 which equals 1)
Answer:
Positive and negative intervals on a graph
Step-by-step explanation:
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). hope this helps you :)
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
