At a local company, the ages of all new employees hired during the last 10 years are normally distributed. the mean age is 38 years old, with a standard deviation of 10 years. find the percent of new employees that are no more than 30 years old. round to the nearest percent.

P = 21%

Step-by-step explanation:

We look for the percentage of employees who are not more than 30 years old.

This is:

Where x is the number of new employees who are not over 30 years old and n is the total number of new employees.

We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 30 years old is equal to

Then we can solve this problem by looking for the probability that a new employee is not more than 30 years old.

This is:

Then we find the z-score

We know that:

μ = 38 years

years

So

Then

By symmetry of the distribution

Looking in the normal standard tables

Finally P = 21%

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

i believe the answer is the polygon, heptagon.