Answer:
The weight of the parcel is 5 N
Step-by-step explanation:
we know that
Weight can be calculated using the equation:
where
W ----> weight (W) is measured in newtons (N)
m ----> mass (m) is measured in kilograms (kg)
g ----> gravitational field strength (g) is measured in newtons per kilogram (N/kg)
In this problem we have
Remember that
To convert g to kg
Divide by 1,000
so
substitute the values in the equation
therefore
The weight of the parcel is 5 N
Answer:
The answer is
<h2>Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
B ( 3 , 1 ) and C( 6 , 3)
The distance between them is
We have the final answer as
Hope this helps you
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!
Answer:
Option d.
Step-by-step explanation:
Total employment for sheet metal workers in 2016 is projected to be = 201,000
This is a 6.3% increase from 2006.
Let the number of workers in 2006 be n
n + (6.3% of n) = 201,000
n + ( 0.063n) = 201,000
1.063n = 201,000
n =
n = 189,087. 4882 ≈ 189,000
the total employment in 2006 was approximately 189,000
Option d is the answer.