There are a total of 2,512 people attending the fun fair. ⅝ of the attendees are students and ¼ are parents. The rest of the peo
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Answer:
Slope of (0,2) and (-8,-8): 5/4
Slope of (-8,-5) and (8,15): 5/4
Both slopes are 5/4
m = 5/4
Step-by-step explanation:
To find the slope:
1. Use the formula .
2. Assign point 1 and point 2
3. State (x₁ , y₁) and (x₂, y₂)
4. Substitute x₁ , y₁, x₂, and y₂ into the formula
5. Solve
Slope of (0,2) and (-8,-8):
Point 1: (0,2) x₁ = 0 y₁ = 2
Point 2: (-8,-8) x₂ = -8 y₂ = -8
Formula for slope
Substituted points
Simplified the subtraction then the negatives
Reduce fraction by dividing top and bottom by 2
First slope
Slope of (-8,-5) and (8,15):
Point 1: (-8,-5) x₁ = -8 y₁ = -5
Point 2: (8,15) x₂ = 8 y₂ = 15
Formula for slope
Substituted points
Simplified the subtraction into addition
Reduce fraction (divide top and bottom by 4)
Second slope
Answer:
The sampling distribution of the sample mean is:
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
Let <em>X</em> = number of cars running a red light in a day, at a given intersection.
The information provided is:
The sample selected is quite large, i.e. <em>n</em> = 100 > 30.
The Central limit theorem can be used to approximate the sampling distribution of the sample mean number of cars running a red light in a day, by the Normal distribution.
The mean of the sampling distribution of the sample mean is:
The standard deviation of the sampling distribution of the sample mean is:
The sampling distribution of the sample mean is: