Answer:
D 98 inches
Step-by-step explanation:
D because 1254.25*4 = 5017.00
Answer:
27.37 and 9.18
Step-by-step explanation:
(4)
Using the cosine ratio in the right triangle
cos64° =
=
( multiply both sides by x )
x × cos64° = 12 ( divide both sides by cos64° )
x =
≈ 27.37 ( to the nearest hundredth )
(5)
Using the sine ratio in the right triangle
sin35° =
=
( multiply both sides by 16 )
16 × sin35° = x , then
x ≈ 9.18 ( to the nearest hundredth )
Answer: 482
Step-by-step explanation:
Formula to find the sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Population standard deviation and E = Margin of error.
As per given , we have
Margin of error : E= 3

Confidence level = 90%
Significance level =
Using z-table , the critical value for 90% confidence=
Required minimum sample size =
[Substitute the values in formula (1)]

[ Round to the next integer]
Hence, the number of observations required is closest to 482.
Answer:
Step-by-step explanation:
y=(1/2)x+cos x
dy/dx=1/2-sin x
dy/dx=0,gives
1/2 -sin x=0
sin x=1/2=sin (π/6),sin (π-π/6)=sinπ/6,sin 5π/6=sin (2nπ+π/6),sin(2nπ+5π/6),n∈ I
d^2y/dx^2=-cos x>0 at x=π/6 and -2π+π/6
or at x=π/6,-11 π/6