Answer:
13. x = 4
14. x = -16
15. x = 11
Step-by-step explanation:
Answer:
<em>The large sample n = 117.07</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
<u><em>Step(ii):-</em></u>
The Marginal error is determined by
M.E = 
Cross multiplication , we get
√n = 
squaring on both sides , we get
n = 117.07
<u><em>Final answer:-</em></u>
<em>The large sample n = 117.07</em>
Answer:
A .cos(x)<1
Step-by-step explanation:
According to the first inequality
cos(x)<1
x < arccos 1
x<0
This therefore does not have a solution within the range 0 ≤ x ≤ 2pi
x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.
For the second option
.cos(x/2)<1
x/2< arccos1
x/2<0
x<0
This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.
For the inequality csc(x)<1
1/sin(x) < 1
1< sin(x)
sinx>1
x>arcsin1
x>90°
x>π/2
This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values
For the inequality csc(x/2)<1
1/sin(x/2) < 1
1< sin(x/2)
sin(x/2)> 1
x/2 > arcsin1
X/2 > 90°
x>180°
x>π
This value of x also has a solution within the range.
Therefore option A is the only inequality that does not have a solution with the range.
There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.
