Answer:
x = 3
Step-by-step explanation:
Square both sides of the equation
(x - 3)(x - 5) = 0
x = 3 or 5
Now, you must always check your results because a result may not satisfy the original equation.
If x = 3, then and 3 - x = 3 - 3 = 0
So 3 satisfies the original.
If x = 5, then , but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.
That means that x = 3 is the solution to the equation.
Answer:
a
The 90% confidence interval that estimate the true proportion of students who receive financial aid is
b
Step-by-step explanation:
Considering question a
From the question we are told that
The sample size is n = 200
The number of student that receives financial aid is
Generally the sample proportion is
=>
=>
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 90% confidence interval is mathematically represented as
=>
Considering question b
From the question we are told that
The margin of error is E = 0.03
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
=>
Answer:
Step-by-step explanation:
Let x be the amount of 15% of gross income.
Given:
Jessica gross income = 48,960.00
She decided to use 15% amount as down payment.
We need to find the amount of 15% of gross income.
Solution:
Using percentage formula.
Now we substitute 15 in the place of percentage and 48,960 in the place of Total value.
Now, we apply cross multiplication rule.
Therefore: Down payment is 7,344.