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!
If you would like to find the matching equation, you can do this using the following steps:
ax^2 + bx + c = 0
a = -2
b = 1
c = 3
-2x^2 + x + 3 = 0
The correct result would be a. 0 = <span>-2x^2 + x + 3.</span>
2x-4=x^2-4
-4=x^2-2x-4 (start moving everything to one side)
x^2-2x=0 (the 4 cancel out)
x(x-2)=0 (factor out an x)
x=0 & x=2 (solved for x)
y=2x-4 (pick one of the equations)
y=2(0)-4 (plug in x)
y=-4
(0,-4)
y=2(2)-4 (plug in the second point)
y=0
(2,0)
The greatest possible value of s is 2. (2,0)
Answer with explanation:
⇒When a design or geometrical shape is reflected over Axis, which is lying in two Dimensional plane,the two, Pre-image that is geometrical shape before reflection and geometrical shape called Image after reflection , they both are congruent to each other.The Line through which the two,Image and Pre Image , are congruent in the plane, is called "Line of Reflection".
⇒When Reflection through a line takes place, corresponding Sides of two designs are congruent,means equal, and the Corresponding interior Angles of two designs are also Congruent.
Option C:⇒ Congruency
Answer: The cube root of 10 is 2.1544 using an Xo value of -0.003723
Step-by-step explanation: The Newton-Raphson is a root finding method and its formula is NR: X=Xo-(f(x)/f'(x). Once you have the equation you also need to find the derivative of that equation before applying the formula. Since the problem stated that X =10, the method was applied to find the best root in order to find the cube root of 10 up to 5 significant figures. The best method is to use a software like Excel that helps you calculate those iterations faster. The root finding for this example was -0.003723.
