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:
7. 23
8. 18
9. 55
10. 17
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
[(21+6)-3^2] / 9*2
[27-3^2] / 9*2
[27 - 9] / 9*2
18 / 9*2
18 / 18
1
The answer is 50/9.
Explanation:
To convert mixed numbers to improper fractions, I remember MAD (multiply, add, denominator).
Step 1 (M): Multiply the denominator (9) by the whole number (5). You should get 45.
Step 2 (A): Add the numerator (5) to the number you just got (45). 45 + 5 = 50.
Step 3 (D): Take the number you have (50) and put it over the denominator (9). Your final answer is 50/9.
Given:
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year
1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost
total material cost:
50 per rug * 12 rugs = 600
total revenue:
2,000 x 12 rugs = 24,000
total profit:
total revenue: 24,000
less:
material cost 600
labor cost 990
fixed cost <u> 10,000</u>
profit 12,410
