Answer:
3.5 (D)
Step-by-step explanation:
focusing on the right side of the decimal, 5 rounds 5 to 6. 6 rounds 4 to 5. Anything 5 or above rounds up! So the .5 rounds 4 to 5, making the answer 3.5. So sorry if this doesn't make sense, its kind of hard to explain.
5/8 - 1/8 = 4/8
4/8 in it's simplest form is 1/2
Answer:

Step-by-step explanation:
Given

--- First Quadrant
Required
Find tan(A)
The sin of an angle is:

and

By comparison:


So, the Adjacent is:



Collect like terms


Take square roots


The tangent of an angle is:

This gives:

Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
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.