Answer:
see explanation
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
(a)
× 
= 
= 
= 
= 
× 
= 3
(b)
×
= 
= 
= 12
Answer:
The slant height of the pyramid is 
Step-by-step explanation:
we know that
The lateral area of the square base pyramid is equal to
where
b is the length side of the base
L is the slant height of the pyramid
we have
substitute the values and solve for L
Answer:
31x^2-13x
Step-by-step explanation:
to find the perimeter of a triangle, add all sides.
P=a+b+c
P=(5x^2+x)+(8x^2-3x)+(18x^2-11x)
combine like terms
5x^2+8x^2-18x^2= 31x^2
x-3x-11x= -13x
31x^2-13x
Answer:
A. 0.62%
B. 28 months
Step-by-step explanation:
A. Calculation for what percentage of total production will the company expect to replace
Let x represents the distribution of life times
Let mean be 34 months
Let standard deviation be 4 months.
Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).
First step
P(X<24)
= p(x-mean/ standard deviation< 24-34/4)
= p(z< -10/4)
=P(z<-2.5)
Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)
NORMSDIST(z)=0.62%
Therefore the percentage of total production will the company expect to replace will be 0.62%
B. Calculation for how much the guarantee period should be
First step
P(X<x)=0.06
P(x-Mean/Standard deviation < x-34/4) = 0.06
Second Step is to Use excel function
P(z<x-34/4) = (Normsinv(0.06)
x-34/4 = -1.555
Now let calculate how much the guarantee period should be
x = -6.22+34 months
x = 27.78
x = 28 months (Approximately)
Therefore the guarantee period should be 28 months
Answer:
Answer:574.9ft^3.
Step-by-step explanation:
radius (r) = 6.5feet
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14 x (6.5) ^3
Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5
Volume = (2x3.14x6.5x6.5x6.5) ➗ 3
Volume=1724.645 ➗ 3
Volume=574.9ft^3
