confidence interval for the mean battery life in the new model is [7.9489, 8.3045].
What is confidence interval ?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
Formula for confidence interval is =
CI = x- bar ± z*s/√n where,
CI = confidence interval
x- bar = sample mean
z = confidence level value
{s} = sample standard deviation
{n} = sample size
given ;
n = 6
mean = (8.23+7.89+8.14+8.25+8.30+ 7.95)/6
= 8.127
value of z for 95% C.I. = 1.96
C.I. = 8.127 ± 1.96 * 0.22/√6
C.I. = 8.127 ± 0.1781
C.I. =[7.9490, 8.3044]
Hence correct option is A.
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You didn't show all answer choices unfortunately, but basically during neap tide, the moon is either above or below the earth, in pictures (vertical). And the right half will always be in shadow.
~Hope this helps
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
Answer:
49π
Step-by-step explanation:
area of circle = πr^2
<em>Handy Tip: cherry pies delicious; apple pies are(R) too(2)! so C = πd and A = πr^2</em>
diameter = 14 cm
radius = 14/2 = 7cm
area of circle = π(7)^2
area of circle = 49π
Hope that helps!
I think it is B
Hope my answer help you?
