5. What is the vertex for y = 3(x+19)^2 - 14? a. (3, 19)
b. (19,-14)
c. (3,-14)
d. (-19, -14

The vertex is (-19,-14)

Step-by-step explanation:

y = 3(x+19)^2 - 14

The equation is written in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

y = 3(x- -19)^2 - 14

The vertex is (-19,-14)

(-19, -14)

Step-by-step explanation:

in a(x-h)^2 + k

the vertex is (h,k)

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: