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LuckyWell [14K]
2 years ago
5

How do I use successive approximations ?

Mathematics
2 answers:
dimaraw [331]2 years ago
7 0

Answer:

assume an approximate value for the variable that will simplify the equation.

solve for the variable.

use the answer as the second approximate value and solve the equation again.

repeat this process until a constant value for the variable is obtained.

Setler [38]2 years ago
6 0
Assume an approximate value for the variable that will simplify the equation.
solve for the variable.
use the answer as the second apporximate value and solve the equation again.
repeat this process until a constant value for the variable is obtained.
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A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
Raymoon sold an article at a loss of 5%. If he had sold it for 270 more, he would have gained 7% find the cost prize of article
mote1985 [20]

IᑎᔕEᑕTIOᑎ ᑭEᒍᗩY✓ hahahaha

7 0
2 years ago
Calculate limits x&gt;-infinity<br> -2x^5-3x+1
Lera25 [3.4K]

Given:

The limit problem is:

\lim_{x\to -\infty}(-2x^5-3x+1)

To find:

The value of the given limit problem.

Solution:

We have,

\lim_{x\to -\infty}(-2x^5-3x+1)

In the function -2x^5-3x+1, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

\lim_{x\to -\infty}(-2x^5-3x+1)=\infty

Therefore, \lim_{x\to -\infty}(-2x^5-3x+1)=\infty.

3 0
2 years ago
What is the range of the function for the given domain
AleksAgata [21]

Answer:

thethe answer is the 3rd one

8 0
3 years ago
Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 3.1 x 10^-9. Find the
scoundrel [369]
PH can be calculated using the following equation 
pH = -log [H₃O⁺]
for apple juice the hydronium /hydrogen ion concentration is 0.0003
pH = -log (0.0003)
pH = 3.5
correct answer is C

For ammonia 
pH = -log (3.1 x 10⁻⁹)
pH = 8.5 
answer should be 8.5
5 0
2 years ago
Read 2 more answers
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