Write the equation of a line perpendicular to the line y=-*- 3 and through (6,2).
1 answer:
Answer:
Step-by-step explanation:
We are given that a line y=-3 .
We have to find the line which is perpendicular to given line and passing through the point (6,2).
Given line y=-3
It is a horizontal line .
The line which is perpendicular to horizontal line is a vertical line .
The equation of vertical line is x=a
We are given that perpendicular line passing through the point (6,2).
It means the vertical line is x=6.
Therefore, the equation of perpendicular line which is passing through the point (6,2) and perpendicular to given line is given by
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Answer:
Step-by-step explanation:
Hello!
For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.
In this example the variable is:
X: height of a college student. (cm)
There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.
The option you have is to apply the Central Limit Theorem.
The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:
X[bar]~~N(μ;σ2/n)
Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:
98% CI
1 - α: 0.98
⇒α: 0.02
α/2: 0.01
X[bar] ±
174.5 ±
[172.22; 176.78]
With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].
I hope it helps!