consecutive integers have a difference of 1 between them
let the brothers have ages n , n + 1 and n + 2 thus
n + n + 1 + n + 2 = 96
3n + 3 = 96
subtract 3 from both sides of the equation
3n = 96 - 3 = 93
divide both sides by 3
n = 
= 31
The ages are 31 , 32 and 33
Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
Answer:
The missing dimension, radius = 6.00 m
Step-by-step explanation:
We are given the following things:
Height of cylinder, 
= 15 m
Radius of cylinder, 
m (Labelled as 
)
Volume of cylinder, 
Please refer to the image attached for the dimensions of cylinder as given.
We know that the volume of a cylinder can be given as:
Where 
is the radius of cylinder
is the height of cylinder
Putting the values of 
:
Hence, The missing dimension, radius = 6.00 m
3 x 3 1/2. Well you know 1/2 times two is one and three times two is six and six plus one is seven and seven plus 3 1/2 is 10 1/2
