Answer:
See explaination
Step-by-step explanation:
Please kindly check attachment for detailed and step by step solution of the given problem.
Answer:
The value is 
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of is
Generally since the sample proportion is not given we will assume it to be
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B%201.96%20%7D%7B0.05%7D%20%5D%5E2%20%2A0.5%20%281%20-%200.5%29%20)
=>
Generally the margin of error is mathematically represented as
Generally if the level of confidence increases, the critical value of 
increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
Answer:
The weight of the package is 1 kilograms.
It will cost $ 13 by both the couriers services.
Step-by-step explanation:
Let the weight of her package is x kilograms
Now, according to the question:
The charges of first Courier = $10 + $3(x)
and The charges of Second Courier = $7 + $6(x)
Also, for x kilograms, both the charges are equal
⇒ $10 + $3(x) = $7 + $6(x)
or, 10 + 3x = 7 + 6x
or, 10 -7 = 6x - 3x
⇒ 3x = 3, implies x = 3/3 = 1
⇒ The weight of the package is 1 kilograms.
It will cost : 10 + 3(1) = $ 13 = 7 + 6(1) by both the couriers services.
The measures of angles B and C are 118° and 62°, respectively.
<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
To learn more on angles: brainly.com/question/7116550
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