Answer:
The variance for the number of correct answers is 2.8 questions
Step-by-step explanation:
The number of correct answers follows binomial distribution, in which we have:
- n identical and independents events: the 15 questions
- two possibles results that we call success and fail: The answer is correct and the answer is incorrect
- probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.
So, the variance for a variable x that follows a Binomial distributions is:
V(x)=n*p*(1-p)
Then, the variance for the number of correct answers is:
V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8
Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.
Answer:
Given:
POS system = 3,400
useful life = 10 years
salvage value = 400
double declining method means that the depreciation expense is higher in the early years than the later years of the asset.
Straight line depreciation = (3,400 - 400) / 10 yrs = 300
300 / 3000 = 0.10 or 10%
10% x 2 = 20% double declining rate
Depreciation expense under the double declining method:
Year 1: 3,400 x 20% = 680 depreciation expense.
Year 1 book value = 3,400 - 680 = 2,720
Year 2 : 2,720 x 20% = 544 depreciation expense
Year 2 book value = 2,720 - 544 = 2,176
Cos(x°) = (√3)/2
cos⁻¹[(√3)/2] = x°, that means x° = 30°
Answer: 4 months
Step-by-step explanation:
$75 + $152X = 683
That's the equation you need to set up, with X being the number of months.
To solve, first subtract 75 from both sides.
$152x = 608
Then, divide each side by 152
X = 4
The answer is 4 months.
