StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x?
1 answer:
The value of x in 6/7x + 1/2 = 7/8 is 7/16
<h3>How to solve for x?</h3>The equation is given as:
6/7x + 1/2 = 7/8
Subtract 1/2 from both sides
6/7x + 1/2 -1/2 = 7/8 -1/2
Evaluate the difference
6/7x = 3/8
Multiply both sides by 7
6x = 21/8
Divides both sides by 6
Hence, the value of x is 7/16
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Answer:
Not sure if this is correct but I hope this helps :)
Not sure if this is correct but I hope this helps :)
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!