For each of the examples below, decide if X is a binomial random variable. If so, specify n and p. If not, explain why not.

a. X = number of heads from flipping the same coin ten times, where the probability of a head = 1/2.

b. X = number of heads from flipping two coins five times each, where the probability of a head for one coin = 1/2 and the probability of a head for the other coin = 1/4.

c. X = number of cities in which it will rain tomorrow among five neighboring cities located within 10 miles of each other.

d. X = number of children who will get the flu this winter in a kindergarten class with 20 children.

Franklin neason earns $5,250 a month as a sales manager. what is his semimonthly salary? a.$10,500b.$5,250c.$2,365d.$2,625

You have 17 cats that live in houses on your street, 24 dogs, 3 fish, and 4 hamsters. what percent of animals on your block are dogs?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)