Use the normal distribution to approximate the following binomial distribution. A recent survey indicated that 55% of the people in a certain community own a motorcycle. If 35 people from this community are chosen at random, what is the probability that fewer than 23 own a motorcycle?

For [tex]f(x) = 4x + 1[/tex] and (x) = [tex]g(x)= x^{2} -5,[/tex] find [tex](\frac{g}{f}) (x)[/tex]a. [tex]\frac{x^{2} - 5 }{4x +1 },x[/tex] ≠ [tex]-\frac{1}{4}[/tex]b. x[tex]\frac{4 x +1 }{x^{2} - 5}, x[/tex] ≠ ± [tex]\sqrt[]{5}[/tex]c. [tex]\frac{4x +1}{x^{2} -5}[/tex]d.[tex]\frac{x^{2} -5 }{4x + 1}[/tex]

Which statement is true about the extreme value of the given quadratic equation? a. the equation has a maximum value with a y-coordinate of -21. b. the equation has a maximum value with a y-coordinate of -27. c. the equation has a minimum value with a y-coordinate of -21. d. the equation has a minimum value with a y-coordinate of -27.

Aziza has a triangle with two sides measuring 11 in. and 15 in. she claims that the third side can be any length as long as it is greater than 4 in. which statement about aziza’s claim is correct? aziza’s claim is not accurate. the third side must be between 4 in. and 26 in. aziza’s claim is not accurate. the third side can be any length less than 26 in. aziza’s claim is not accurate. the third side can be any length. aziza’s claim is not accurate. the third side must create a scalene triangle.