<h2>
Answer:</h2>
The correlation that is shown in the scatter plot is:
Strong positive.
<h2>
Step-by-step explanation:</h2>
From the scatter plot we see that with the increase of one variable the second variable also increases.
Hence, the association is positive.
Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.
Hence, the correlation is:
Strong positive.
( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)
Answer:
Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem.
5 names are selected, so
A success is a name being non-authentic. 40% of the names are non-authentic, so .
We have to find
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:
So
The best option is to buy 2 gallons for $5.98 because if you do your work and check how much everything else costs for 2 gallons (example: 1/4 gallons multiplied by 8 equals $14.40 which is 2 gallons) you'll see that everything else is too expensive, and the 2 gallons for $5.98 is the best answer.
I hope this helps :)
Answer is B cuz 90 plus 63 plus A will get you 180
<h2>Answer</h2>
1.5n-3.2
<h2>Explanation</h2>
First, we need to distribute -1.5. To do it we just multiply each term inside the parenthesis by -1.5:
Now we just need to combine like terms: