Assume that the probability of the random variable will be approximated using the normal distribution. Describe the area under the normal curve that will be computed. Find the probability that less than 36 households have a gas stove. What is the area under the normal curve that describes the probability that less than 36 households have a gas stove? A. The area to the left of 36.5 B. The area to the right of 35.5 C. The area between 35.5 and 36.5 D. The area to the left of 35.5 E. The area to the right of 36.5

Option D is correct.

The area to the left of 35.5.

Step-by-step explanation:

The probability that less than 36 households own a stove can be represented by P(x < 36) and this is repreaented by the area under the normal curve all to the left of 36 excluding 36 itself.

Therefore, the best representation of this among the options given is the area under the normal curve left to 35.5, that Is, P(x ≤ 35.5). As there are no half households, this value would be would be equal to P(x ≤ 35) which represents the probability of 35 and less households having a stove.

So, basically,

P(x < 36) = P(x ≤ 35.5) = P(x ≤ 35)

So, option D is the answer.

8

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752