Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
find the probability that a worker
selected at random makes between
$350 and $400.
[? ]%

Step-by-step explanation:

Weekly wages at a certain factory are

normally distributed. The formula for normal distribution is expressed as

z= (x - u)/s

Where

u = mean

s = standard deviation

x = weekly wages

From the given information,

u = 400

s = 50

The probability that a worker

selected at random makes between

$350 and $400 is expressed as

P(350 lesser than or equal to x lesser than or equal to 400)

For x = 350

z = (350 - 400)/50 = -50/50 = -1

z = -1

From the normal distribution table, the corresponding z score is 0.1587

For x = 400

z = (400 - 400)/50 = 0/50 = 0

z = 0

From the normal distribution table, the corresponding z score is 0.5

P(350 lesser than or equal to x lesser than or equal to 400)

= 0.5 - 0.1587 = 0.3413

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

stops on an even number.