The answer would be 331 weeks rounded. Just divide.
Answer:
<em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x 26 32 29 16 45 19
mean of the sample
Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x : 26 32 29 16 45 19
x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83
(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689
∑ (x-x⁻)² = 534.8245
Given sample size 'n' =6
The variance of given data
S² = ∑(x-x⁻)² / n-1
The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data
Standard deviation of the sample = 10.3423
If the company makes 1 canoe only, then the cost is, the fixed cost plus how much it costs for the 1 canoe, or
180,000 + 1*120
if it makes 2 canoes
180,000 + 2*120
3 canoes 180,000 + 3*120
4canoes 180,000 + 4*120
x canoes 180,000 + x*120
so... we dunno what "x" is, but whatever "x" maybe, the cost ends up as 180,000 + x*120, or 180,000 + 120x
now, let's see the revenue
1 canoe 1 * 240
2 canoes 2*240
3 canoes 3*240
x canoes x*240
so.. whatever "x" maybe, the Revenue is x*240 or 240x
break-even point is when, the amount of expenses and earnings cancel each other out, or, there's no profit, but there's no loss either, same amount that's spent is also earned back
so, the break-even point occurs when Revenue = Cost
180,000 + 120x = 240x <--- solve for "x"
The probability of picking one girl would be 
. That is because there are 5 girls out of the 12 students, and the probability of an event occuring is: 
.
Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us:
, for the probability of picking a boy as the second pick.
And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be:
.
We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:
Which when reduced is:
Answer:
45 miles.
Step-by-step explanation:
Given that the:
Total distance covered = 390 miles
Total time = 8 hours
Let the distance covered along the local way = L
And the distance covered along the highway = H
Along with local way,
Speed = distance/ time
20 = L / T
T = L /20 .... (1)
Along the highway,
Distance covered H = 390 - L
Let the time = t
Speed = distance/time
60 = (390 - L)/t
t = ( 390 - L)/60
But total time = T + t
That is
8 = L/20 + (390 - L)/60
The LCM at right hand side will be 60
8 = ( 3L + 390 - L )/60
Cross multiply
480 = 2L + 390
Collect the like terms
2L = 480 - 390
2L = 90
L = 90/2
L = 45 miles.
Therefore, the distance Minato drive along local roads is 45 miles
