Barbara, Karla, Bradley, Beau and Allen received the same number of votes from their classmates for "Student of the Week." If the teacher randomly chose one of the student's names to be named "Student of the Week," what is the probability the student's name began with a B? A 0.5 B 0.6 с 0.4 D 0.2​

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Which of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr