<span>4 people seated on a row may have 4! = 4x3x2x1 = 24 different ways to sit.</span>
Answer:
1-3.6
2-4.1
3-3.2
4-5.8
5-12.7
Step-by-step explanation:
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
Correct option: e) a two-way table.
Step-by-step explanation:
In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.
In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.
Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.
In this case the two categorical variables are: Gender and Satisfaction level.
To study the relation between the gender of a customer and their satisfaction level use a two-way table.
