Each person who applies for an assembly job at robert’s electronics is given a mechanical aptitude test. one part of the test involves assembling a plug-in unit based on numbered instructions. a sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. length of time (in minutes)number1 up to 444 up to 787 up to 101410 up to 13913 up to 16516 up to 192 what is the standard deviation (in minutes)?

The value of standard deviation is 3.894 minutes.

Step-by-step explanation:

Consider the provided table:

Complete the table as shown:

Length of time     f      class mid pt(x)    f·x         x²          f·x²

          1-4             4                2.5            10       6.25        25

         4-7             8                5.5            44      30.25      242

         7-10          14                8.5            119      72.25      1011.5

        10-13          9                11.5          103.5    132.25     1190.25

        13-16          5                14.5          72.5     210.25     1051.25

        16-19          2                17.5           35      306.25    612.5        

                       n=42                         ∑f·x=384               ∑f·x²=4132.5

Now use the formula to calculate standard deviation.

Substitute the respective values in the above formula and solve for s.

Hence, the value of standard deviation is 3.894 minutes.

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

lol

step-by-step explanation: