A baseball hat for $22.90 at 5% sales tax
2 answers:
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Answer:
a
,
b
c
Step-by-step explanation:
From the question we are are told that
The sample data is 21, 14, 13, 24, 17, 22, 25, 12
The sample size is n = 8
Generally the ample mean is evaluated as
Generally the standard deviation is mathematically evaluated as
considering part b
Given that the confidence level is 90% then the significance level is evaluated as
Next we obtain the critical value of from the normal distribution table the value is
The margin of error is mathematically represented as
=>
=>
The 90% confidence interval is evaluated as
substituting values
considering part c
Given that the confidence level is 95% then the significance level is evaluated as
Next we obtain the critical value of from the normal distribution table the value is
The margin of error is mathematically represented as
=>
=>
The 95% confidence interval is evaluated as
substituting values
The perimeter of a shape is the sum of its side lengths.
<em>Joshua miscalculated the third length of the triangle</em>
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:
Take square roots of both sides
The other shape in the figure is a square.
So, the perimeter (P) is
---- i.e. the sum of the visible lengths
So, we have:
Evaluate like terms:
Hence, Joshua's error is that:
<em>He miscalculated the third length of the triangle</em>
Read more about perimeters at: