Ron wants to deliver a package to his friend. he is considering two courier services to do the job. the first courier service is charging a flat fee of $15 plus $3 per pound of the package’s weight.

the second courier service is charging a flat fee of $25 plus $2 per pound of the package’s weight.

the costs of the two courier services are shown in the graph below.

what must the package weigh for the costs of the two courier services to be the same?
a.
8
b.
10
c.
14
d.
12
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answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

seems like d

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.