Answer:
The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)
Step-by-step explanation:
Mean m = 400
Standard deviation S = 60
Firstly, we have to determine the cut off mark,
Since Only students who score in the top 30% are accepted, the cut off mark can be determined from 70% of the mark.
P(cut off mark = X) = Z[( X -m)/S) <x]
=¢(X-400/60) = 0.7
From Normal distribution table,
X-400/60 = 0.524
X = 431.44
Therefore, the cut off mark is 431.44
Since Amy scores 425 on the test.
Therefore, The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)
We know that
[volume of a cylindrical salt shaker]=pi*r²*h
r=2 cm
h=7 cm
[volume of a cylindrical salt shaker]=pi*2²*7---> 87.92 cm³
[volume of the box]=b²*h
b=4 cm
h=8 cm
[volume of the box]=4²*8---> 128 cm³
[the volume of air in the box outside the salt shaker]=128-87.92--> 40.08 cm³
the answer is
the <span>volume of air in the box outside the salt shaker is 40.08 cm</span>³
Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) = 
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) = 
F(x) = 
Option (D) will be the answer.
The ratio in its simplest form is 7:4