Answer:
There are 60 permutations that can be formed from the first five letters of the alphabet.
Step-by-step explanation:
The number of three letter permutations that can be formed from the first five letters of the alphabet is 
.
= 60
Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.
Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
Answer: The blank space in the equation is 4.
Step-by-step explanation: -6 x +2 is -12. -48/-12 is 4. Therefore, the blank space in the equation is 4.
Answer:
Step-by-step explanation:
Correlation measures the strength of the linear relationship between two variables.
A linear relationship exists between two variables if one variable increases as the other increases or decreases.
Use the formula for correlation coefficient to determine the strength of the relationship.
Correlation coefficient, r is equal to the sum of squares of xy divided by the product of the square root of the sum of squares of xx and xy.
The sample correlation coefficient r measures the strength of the linear relationship and has the following properties:
-1≤r≤1; the closer the value is to −1 or 1, the stronger the linear relationship
– If r is negative, this indicates that as one variable is increasing, the other is decreasing
– If r is positive, this indicates that both variables are increasing or both variables are decreasing
If r = 0, then there is no linear relationship between the two variables
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in
