The data set: [1, 4, 5, 7, 8, 11).
4. find the weighted mean (u) for this triangular probability distribution.
sum the values of x*p(x). the value of u will be between 1 and 5.
p(x)
xp(x
ni
1/9
2/9
3/9
2/9
1/9
has to be = 1.0
total:

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: