Atown has 685 households. the number of people per household is normally distributed with the mean of 3.67 and the standard deviation of 0.34. approximately how many households have between 2.99 and 4.01

560 households.  

Step-by-step explanation:

We have been given that a town has 685 households. the number of people per household is normally distributed with the mean of 3.67 and the standard deviation of 0.34.

Let us find z-score corresponding to sample scores, 2.99 and 4.01, using z-score formula.

, where,

,

,

,

.

Let us find z-score for sample score 2.99.

Let us find z-core for sample score 4.01.

Now let us find probability of z-score greater than -2 and z-score less than 1.

We will use formula: to solve our problem.

Using normal distribution table we will get,

So, the probability of house holds between 2.99 and 4.01 is 0.81859. To find the number of households between 2.99 and 4.01, we will multiply our probability by total number of households.

Therefore, approximately 560 households have between 2.99 and 4.01.

answer: ask

step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)