The temperatures at several times of the day are shown in the coordinate plane below. The xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a. m.}11 a. m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius.
At 5 \text{ p. m.}5 p. m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at 2 \text{ p. m.}2 p. m.2, start text, space, p, point, m, point, end text and the temperature at 8 \text{ p. m.}8 p. m.8, start text, space, p, point, m, point, end text
What coordinates represent the temperature at 5 \text{ p. m.}5 p. m.5, start text, space, p, point, m, point, end text ?

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

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

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy