14. -0.44
15. 26.488
16. -3.33333333333
17. <span>-5.14285714286
18. -0.12
19. Eleven 2.25 pound containers</span>
20. (a)19 (b)7.6
21.Its less than.The reason is because different seasons have different rainfall amounts.
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
<u>i) find the mean value ( X ) </u>
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
<u>iii) Find the range </u>
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
<u>iv) Determine the third quartile </u>
third quartile = 6054
<em>attached below is the detailed solution</em>
Answer:
(a) Probability he or she will answer all 10 problems correctly is 0.5
(b) Probability he or she will answer at least 9 problems correctly is 0.95
Step-by-step explanation:
(a) Probability is given by number of possible outcomes ÷ number of total outcomes
Number of possible outcomes = 10 problems
Number of total outcomes = 20 problems
Probability he or she will get all 10 problems correctly = 10 ÷ 20 = 0.5
(b) Probability he or she gets at least 9 problems correctly means he or she either gets 9 or the 10 problems correctly
Probability he or she gets at least 9 problems correctly = (9÷ 20) + (10÷20) = 0.45+0.5 = 0.95
You're given the volume and height of rectangular prism.
To find the possible length and width: √144/6=24;
24 is the product of length and width, so now just divide 24 by 4 or 6 or 2 or...
24/4=6.
The possible length and width is 4 and 6.
Check: 4×6×6=144ft³