Answer:
Step-by-step explanation:
A. H0: accident are evenly distributed
H1: accident are not evenly distributed
B. The critical value is chi²(0.01,7) = 18.4753
C. The decision rule would be to reject h0 and accept h1 if the test statistic is higher than the critical value
D. Test statistic = summation (Oi-Ei)²/E
This gives 24.6 from the table.
E. Based on these calculations, test statistic is > than critical value
24.6> 18.4753
F. The inference is that accidents are not evenly distributed at 0.01 level of significance.
<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
1) £20
2) 18/4 * 7 = 31,5msquared
3) X= (3-1)/5 = 2/5 = 0.4
4) A(n) = 2 + 5n
5) t(3) = 6*3 + 2 = 20
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!