Answer:
The man earned money:
Step-by-step explanation:
$1 x 24 pieces =$24 revenue per box
$24 - $9 = $15 earning per box
$15 x 8 boxes = $120 total earnings
Answer:
And then the rectangular coordinates for this case are :

Step-by-step explanation:
We have the following point given
and we want to conver from polar to rectangular coordinates and we need to use the following formulas:


For this case we have that:
And:

Replacing we got:
And then the rectangular coordinates for this case are :

Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
Answer:
The capability index for the process is 0.889
Step-by-step explanation:
Here, we want to compute the capability index for the process
To get this, we need some important parameters which we already have stated in the question
USL ( upper standard limit) = 0.048
LSL (lower standard limit) = 0.032
mean = 0.04
standard deviation = 0.003
We apply the formula as seen in the attachment below
Kindly understand that we are to calculate the Z upper and Z lower
The smallest value between the two will be our Z minimum
This is what we shall apply in the capability index formula which mathematically is;
Z minimum/3
From calculation:
Z lower = Z upper = 2.67
So therefore;
capability index = 2.67/3 = 0.889
Annual growth rate is (1+0.15)^12. or 5.35025 or 535.025%