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Equation: y = -2x

Solution: y = 12

Step-by-step explanation:

y varies directly as x, can be expressed by the equation, y = kx. Where, k = constant of proportionality.

Given that when x = 2, y = -4, to find the value of k, plug in the values of x and y into y = kx.

Thus:

-4 = k(2)

Divide both sides by 2

-4/2 = k

k = -2

To write the equation for the information given, substitute k = -2 into y = kx.

✔️Equation: y = -2x

✔️When x = -6,

y = -2x

Plug in the value of x

y = -2(-6)

y = 12

you'll just earn points here

step-by-step explanation:

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