Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E =4.266
The standard deviation is 
From the question we are told the confidence level is 99% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [\frac{2.58 * 2.539 }{4.266} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B2.58%20%20%2A%20%202.539%20%20%7D%7B4.266%7D%20%5D%20%5E2)
=>
Answer:
25.12
Step-by-step explanation:
The formula of the circumference of a circle is: C = 2(pi)(r)
Plug in 3.14 for pi and 4 for the radius.
C = 2(3.14)(4)
Multiply.
C = 25.12
If your asking for a standard deck of cards the probability is 1/8
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
