Answer:
300
Step-by-step explanation:
The red portion is marked with a small square; that means it is a 90° section. It is 1/4 of the whole circle. They also said 75 kids chose red. If 1/4 of the circle represents 75 kids, then the whole entire circle would represent 75+75+75+75 kids or 4(75) kids, which is 300 kids.
Answer:
784.16
Step-by-step explanation:
use the formula for simple interest =
P(1+r)^t
so
3180(1.065)^3.5 - 3180
The answer is b 5x-y=7 2x+y=0
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. J<span>aden should plant the geranium </span>"at the point of intersection of an angle bisector and a perpendicular bisector of the triangle."
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!