We know that
The square root property<span> is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span> a negative root
</span>
then
x-3=7--------> x=10
x-3=-7-------> x=-4
the answer Part a) is
x=10
x=-4
Part b) Explain why the given equation has two solutions.
the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
The answer would be each pair of sandals costed $14
$14+$14=28+$3=$31
Answer:
a) 272 used at least one prescription medication.
b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
Step-by-step explanation:
Question a:
86.6% out of 3149, so:
0.866*3149 = 2727.
272 used at least one prescription medication.
Question b:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
For this problem, we have that:
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
For the percentage:
0.856*100% = 85.6%
0.876*100% = 87.6%.
The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
5 - 1.25 = 3.75
Melody’s mom pays her sister $3.75 for emptying the dishwasher.