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.
Answer:
7x-y=-4
Step-by-step explanation:
Let me know if this right please :(
Hope it was is helpful for you :)
Answer:
Length = 10 & width = 3
Step-by-step explanation:
Perimeter = Length + Length + Width + Width
26 = 2Length + 2 Width
26 = 2 ( Length + Width )
13 = Length + width
13 - Length = Width EQUATION 1
Area = Length X Width
30 = Length X ( 13 - Length )
30 = 13Length - Length ^2
Length ^2 - 13Length + 30 = 0
( Length - 3 )( Length - 10 )
Length = 3 or Length = 10
Therefore Length = 10
From equation 1
13 - Length = Width
13 - 10 = width
width = 3
If you have the area of the rectangle, then the equation would be A = W*L
Lets say the area is 15 and the width is 3. You don't know what the length is. Just divide 3 into 15 to get 5. Hope this helps!
Step-by-step explanation:
Fraction of work done by Gardner in 1 hr = 1 / 5
Fraction of work done by Gardner and helper in 1 hr = 1 / 4
Fraction of work done by helper in 1 hr
= 1 / 4 - 1 / 5
= 1 / 20
<u>Time required by helper to complete work</u> :
= <u>20 hours</u>
