Answer:
(a) 0.139258
(b) 0.0064827
Step-by-step explanation:
Let the probability that each member makes a correct decision be and the probability that each member makes an incorrect decision be .
From the question,
p and q are mutually exclusive. Hence,
(a) For majority rule, it means at least 4 members decisions are taken. Taking "C" to mean "correct" and "I" to mean "incorrect", we could have 4C against 3I, 5C against 2I, 6C against 1I and 7C against 0I.
The probability of the correct decision being made is
(b)
Let the equation representing the function be y = -mx + c; where m is the charge per minute and c is a initial balance.
25.04 = -31m + c . . . . . (1)
19.74 = -64m + c . . . . . (2)
(1) - (2) gives: 5.3 = 33m
m = 5.3/33 = 0.16 (i.e. charge per minute is 16 cents)
From (1), 25.04 = -31(0.16) + c
25.04 = -4.96 + c
c = 25.04 + 4.96 = 30 (i.e. initial balance is $30)
Remaining credit after 85 minutes call is -85(0.16) + 30 = -13.6 + 30 = $16.40
Answer:
perimeter of pentagon is 5s
area of Pentagon is 1/2 P*a
Arcsin (2/5) = arctan(2/√21)
now as tan (arctan (x) ) = x
hence tan (arctan (2/√21)) = 2/√21 = 0.436
ask if you do not understand the first part
Answer:
a=The sign of the correlation coefficient is the same as the sign of the slope for the best fit line.
b= When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables.
Step-by-step explanation: