James needs to clock in a minimum of 9 hours per day at work. however, the working hours that he records varies between 9 to 12 from day to day. his recorded working hours for a certain number of days are as follows: {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12} what is the median of his working hours and the skew of the distribution?

Median = 11 and negative skew of the distribution.

Step-by-step explanation:

James recorded working hours for a certain number of days are a set of

{9, 9.5, 10, 10.5, 11, 11, 11.5, 11.5, 12, 12}

Now we have to find the median and skew of distribution.

We know that median of a set of data is defined by the middle term.

In the set written above there are two middle terms (11, 11) about which four term are in the left and four terms in the right.

Now to calculate the median we will take the mean of these two numbers

median = (11 + 11)/2 = 11

Now if we draw the working hours on a graph then we will have a long tail in the left of the maximum number of hours worked as figure attached.

This long tale in the left shows negative skew of the distribution and tale in the right shows the positive skew of the distribution.

Therefore answer is median = 11 and negative skew of the distribution.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5