Answer:
Step-by-step explanation:
surface area of sphere=a
4pir^2=a
r^2=a/4p
r=root(a/4pi)
if radius is doubled
r1=2root(a/4pi)
r1^2=4(a/4pi)
a/a1=(4pia/4pi)/(4pi 4a/4pi)=1/4
so a is increased by 4 times
Answer:
- we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
- it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
Step-by-step explanation:
WITH THE GIVEN DATA
A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21
to fit into a regression line we must have ∝ and β
where β =
= 0.2871
and ∝ = y - βx = - 1.5974
regression line = ∝ + β * x
insert values into regression line equation
regression line = -1.5974 + 0.2871 * x
we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
B ) conclusion and recommendations can you derive from your analysis
it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
using the correlation coefficient ( r ) =
= 0.8394
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have


now, we can use Pythagoras theorem

now, we can plug values
and we get


so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer:
2009cm^2
Step-by-step explanation:
Given data
let the length be L
and the width be w
so
w= x
L=x+8
P= 180cm
P= 2L+2W
180= 2(x+8)+2(x)
180= 2x+16+2x
collect like terms
180= 4x+16
180-16= 4x
164= 4x
x= 164/4
x=41
W= 41cm
L= 41+8
L= 49cm
A= L*W
A=49*41
A=2009cm^2
Hence the area is 2009cm^2
Answer:
volume of cone=1/3 ×π×(d/2)²h=1/3 ×22/7×6²/4×14=924cm³