Solving the equation √3n+ 10 = n + 4 yields the solutions n = −2 and n = −3 . Explain why this problem does not have any extraneous solutions.

This problem has no extraneous solution because a square root cannot be negative.

Step-by-step explanation:

√3n+ 10 = n + 4

Plugging in -2 would get

√3(-2)+ 10 = -2 + 4

√-6+ 10 = 2

The square root of -6 is impossible (in terms of real numbers) because squaring something makes it positive (ex: 3^2 and -3^2 both equal +9)

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

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