Answer:
x > 2
Step-by-step explanation:
Answer:
angles are 48°, 48°, 84°
Step-by-step explanation:
ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )
the sum of the 3 angles = 180 , then
4x + 4x + 7x = 180 , that is
15x = 180 ( divide both sides by 15 )
x = 12
the student made the error of assuming x = 12 was the size of the 2 equal angles.
the correct angles are
4x = 4 × 12 = 48°
4x = 4 × 12 = 48°
7x = 7 × 12 = 84°
Answer:
x=−7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Fraction -> Decimal
4/5 = 0.8
1/8 = 0.125
Decimal -> Percent
0.22 * 100% = 22%
0.47 * 100% = 47%
Percent -> Fraction
34% / 100 = 0.34 = 17/50
25% / 100 = 0.25 = 1/4
Fraction -> Percent
1/3 = 0.33... * 100% = 33.3%
2/5 = 0.4 * 100% = 40%
Decimal -> Fraction
0.65 = 65/100 = 13/20
0.4 = 4/10 = 2/5
Percent -> Decimal
81% / 100 = 0.81
4% / 100 = 0.04
Best of Luck!
Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be: 
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...