Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
Where, r is the radius of the circle.
Area of a square is:
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
So, the area of the square is:
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
Therefore, the correct option is (a).
- 4.6 p - 6.3 p + 3.9 = -9.18
- 10.9 p + 3.9 = - 9.18
- 10.9 p = - 9.18 - 3.9
- 10.9 p = - 13.08
p = ( - 13.08 ) : ( - 10.9 )
Answer:
p = 1.2
Create an equation for the total costs of driving x miles: 3.50 + 2.50x
since Sasha has $37, the equation would become: 3.50 + 2.50x = $37
subtract 3.50 from both sides: 2.50x = 33.50
divide 2.50 on both sides: x = 13.4
since the problem is asking for the greatest whole number of miles, you have to round down and the answer would be: 13 miles.
I think it's 85 but Is this like a multiple choice question?
