Answer:
We can reject the hypothesis at the 0.05 significance level.
Step-by-step explanation:
given that an urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.
H0: All colours are equally likely
Ha: atleast two colours are not equally likely
(Two tailed chi square test at 5% significance level)
color Red Orange Yellow Green total
Observed O 2 5 4 1 12
Expected E 3 3 3 3 12
(O-E)^2/E 0.3333 5.3333 0.3333 5.3333 11.3333
chi square = 11.3333
df =3
p value = 0.010055
Since p < 0.05 we reject H0
We can reject the hypothesis at the 0.05 significance level.
The Kangaroo Rat and the common tree shrew is familiar because the kangaroo rat and the tree shrew have the same class: Mammalia, same phylum: Chordata, and the same kingdom : Animalia. They both are identical because they are small look like small rats etc.
Answer:
x=65
Angle 1=65
Angle 2=115
Step-by-step explanation:
We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.
<span>∫ cot 2x dx=
</span><span> ∫ ((cos (2x))/(sen(2x)) dx
u=</span>sen(2x)
du=2cos(2x)dx
∫ ((1/2)*(1/u))du=
(1/2)*Ln(u) + C
(1/2)*Ln(sen(2x)) + C
answer
<span> C. ½ Ln sin 2x + C</span>
