Answer:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches
Step-by-step explanation:
Length of the first piece = x
Length of the second piece = 2x
Length of the third piece = 3x
Total length is 36 inches:
x + 2x + 3x = 36
6x = 36
x = 6
Therefore, the lengths are:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
Answer:
h = Hannah's age
h - 2 = Anthony's age
Hannah is 47, Anthony is 45
Step-by-step explanation:
Using one variable and an expression with the same variable, you can find the sum of the siblings ages:
h = Hannah's age
h - 2 = Anthony's age
h + (h - 2) = 92
Combine like terms: 2h - 2 = 92
Add '2' to both sides: 2h - 2 + 2 = 92 + 2 or 2h = 94
Divide by 2: 2h/2 = 94/2
Solve for h: h = 47 years old (Hannah)
h - 2 = 45 years old (Anthony)
