Answer:
The null hypothesis is
The alternate hypothesis is
Step-by-step explanation:
To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%.
At the null hypothesis, we test that the proportion is of 22%, that is:
At the alternate hypothesis, we test that the proportion is less than 22%, that is:
Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:
Take RHS
8+ 27
We can write 8 as and 27 as
.
then;
8+27 =
Now, use the sum of cubes identity;
here a =2 and b = 3
or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
Step-by-step explanation: