Answer:
Teens who use online shopping sometimes = 6
total number of people who use online shopping sometimes = 20
total percentage of teens using online shopping sometimes = 6/20*100 => 30%
hope it helps
have a nice day
1) Slope tell about the steepness of the line.
To find slope we look at the rise and run between 2 points.
attached the graph of line with slope
slope = 
= 
So slope = 2
2) we have x and y intercepts
x intercept is the point where the line crosses x axis
x intercept at x= 3
y intercept is the point where the line crosses y axis
y intercept at y= 6
3) Linear equation is y= 3x+2
function is f(x) = 3x+2
We can graph it using slope and y intercept
In f(x)= 3x + 2 , slope =3 and y intercept = 2
slope = 3, rise = 3 and run =1
The graph of f(x)= 3x+2 is attached below.
Answer:
I think the working is actually unnecessary because of (x-c)=0 and if x is 5 (5-c)=0 c would be 5
Answer:

Step-by-step explanation:
The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:

However, the experimental probability can be described with the following formula:

The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:

One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:

Substitute,

Simplify,

Rewrite as a decimal:

Answer:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean
is given by:

