The confidence interval for a <span>(1−α)%</span> confidence level is given by
<span>
(<span>θ0</span>−<span>Z<span>α/2 </span></span><span>σ/√n</span>, <span>θ0</span>+<span>Z<span>α/2 </span></span><span>σ/√n</span>)
</span><span>θ0</span> is the measured statistic, <span>Z<span>α/2</span></span> is the cutoff/critical value, and <span>σ/<span>√n</span></span> is the standard error. σ is the population standard deviation (if known) or can be estimated by a sample standard deviation. n is the sample size.
The cutoff value depends on the test you wish to use, and <span>θ0</span><span> depends on the statistic you wish to estimate.</span>
Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
Length= 2x-1. 2(7)-1=13
Width=X. =7
2x-1+2x-1+X+X=40
6x-2=40
Add 2
6x=42
Divide by 6
X=7
Imagine there are 8 spots on the shelf. Replace the volumes one by one.
The first volume to be replaced could go in any one of the eight spots.
The second volume to be replaced could then go in any one of the seven remaining spots.
The third volume to be replaced could then go in any one of the six remaining spots.
etc
So the total number of ways the eight volumes could be replaced
= 8!
= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40,320