Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Answer:
Step-by-step explanation:
In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:
The steps are shown below:
For any equation of the form: 
1. If the coefficient a is different from 1, then take a as a common factor.
In this case 
. Then:
2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.
We have:
3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor :
4. Factor the resulting expression, and you will get:
Now solve the equation:
Note that the term 
is always 
therefore it can not be equal to -28.
The equation has no solution in real numbers.
In the same way we can find the complex roots:
Answer:
6t - 3
Step-by-step explanation:
9t - 3t + 2
Combine like terms: 9t - 3t = 6t
so
9t - 3t + 2
= 6t - 3
If you're finding diameter or radius based on circumference, use the formula C = πd. You would divide the circumference by pi to get the diameter, then divide the diameter by 2 to get the radius.
If you're finding diameter or radius based on area, use the formula A = πr^2. You would divide the area by pi, then find the square root of that value which is the radius. Just multiply the radius by 2 to find diameter.
Need more info sorry hope you get a good grade
