Let x be the required waranty period, then
P(X < x) = P(z < (x - 12)/(8/12)) = 1 - 0.067 = 0.933
P(z < 12(x - 12)/8) = P(z < 1.498)
12(x - 12)/8 = 1.498
x - 12 = 8(1.498) / 12 = 0.9987
x = 12 - 0.9987 = 11
Therefore, they should waranty for 11 years so that no more than 6.7% fail within that time.
cost of production = %13
Let the price be p, then
revenue less price of failed iron = p - 0.067(13) = p - 0.871
Profit = p - 0.871 - 13 = 5
p - 13.871 = 5
p = 5 + 13.871 = 18.871
Therefore, the should charge $18.87 per waffle iron.
The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
Answer:
y - 3= 2(x - 0)
Step-by-step explanation:
hello :
note 1 :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
note 2 :
the slope is : m = (y_2 - y_1)/(x_2 -x_1) when given two points :
A(x_1 , y_1 ) and B(x_2 , y_2 )
in this exercice : x_1 =0 y_1 =3 x_2 =1 y_2 =1
calculate now m = (1 - 3)/(1 -0) =-2
an equation in point-slope form is : y - y_1 = m(x - x_1)
y - 3= 2(x - 0)
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
Answer:
3.331 , 3.313 , 3.133 , 1.333
Step-by-step explanation:
because it just is that way