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.
$80.00 x 0.20 = $16.00
$80.00 - 16.00 = $64.00
the hoodie costed $64.00
you were left with $16 to spare
Answer:
B.Arithmetic
Step-by-step explanation:
because the terms have a first common difference
the rate of change is 4
State the vertex and axis of symmetry of the graph of y=ax^2+c
General form of quadratic equation is 
There is no bx in our given equation, so we put 0x
Given equation can be written as 
a=a , b=0
Now we use formula to find vertex
Now we plug in 0 for 'a' and find out y
So our vertex is (0,c)
The axis of symmetry at x coordinate of vertex
So x=0 is our axis of symmetry
