What is the probability that a five-card poker hand con- tains the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts?

Plz ( true - false) all triangles have interior angles whose measure sum to 90.

Q.1 dr. frank needs to choose 3 students from her advanced biology course to attend a conference in hawaii. the course has 40 students. which of the following methods could dr. frank use to choose a simple, random sample of 3 students? select all that apply. 1 dr. frank could have the students line up from shortest to tallest, then use her birthdate, 2/5/39, to select 3 students from the line (the 2nd student, the 5th student, and the 39th student). 2. dr. frank could upload her class roster into a spreadsheet and use a ranom-number generating function to produce 3 random numbers. the students whose names are located in the rows with these 3 numbers on the spreadsheet would be chosen. 3. dr. frank could choose the students with the 3 highest grades in the class. 4. dr. frank could count to three, then the first students to come to the front of the classroom and grab a golden ticket from her hand would be selected. 5. dr. frank could ask all students to write their name on a card, place all of the cards in a hat, shake the hat, and then pull 3 cards out from the hat. the students whose names appear on those 3 cards will be selected. 6. dr. frank could ask for volunteers to go to the conference, then choose the first 3 students who raise their hands. q2. now, choose one of the methods that you did not select and explain why this method would not result in a simple, random sample:

Yis the midpoint of xz. for each pair of points given, find the coordinates of the third point. 3. x( 5, 5), z(-1,5) 4. z( 2, 8), y(-2, 2) 7 points each xc find the indicated values. 5. b is between a and c. ab = 2x + 1, bc = 3x – 4, and ac = 62. find the value of 'x', and determine if b is a bisector. 7 points each x = bisector: yes or no? 6. m is between l and n. lm = 7x-1, mn = 2x + 4, and ln = 12. find the value of 'x' an determine if m is a bisector. x = bisector: yes or no?