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Ber [7]
3 years ago
13

3x^2-5x-24 identify p and q

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
3x^2-5x-24=0

3x^2-5x=24

x^2-5x/3=8

x^2-5x/3+25/36=8+25/36

(x-5/6)^2=313/36

x-5/6=±√(313/36)

x=5/6±√(313/36)

x=(5±√313)/6

p=(5+√313)/6

q=(5-√313)/6
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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
prohojiy [21]

Using the z-distribution, it is found that a sample size of 3,385 is required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 98% confidence level, hence\alpha = 0.98, z is the value of Z that has a p-value of \frac{1+0.98}{2} = 0.99, so the critical value is z = 2.327.

We have no prior estimate, hence \pi = 0.5 is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.5(0.5)}{n}}

0.02\sqrt{n} = 2.327 \times 0.5

\sqrt{n} = \left(\frac{2.327 \times 0.5}{0.02}\right)

(\sqrt{n})^2 = \left(\frac{2.327 \times 0.5}{0.02}\right)^2

n = 3,385.

A sample size of 3,385 is required.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
1 year ago
5 × 100 + 4 × 10 + 2 + ( 3 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 9 × 1⁄1000 ) Write as a numeral
Norma-Jean [14]

Answer:

542.369

Step-by-step explanation:

Its the steps of writing it this is super easy also you can do the math to check if you want

3 0
3 years ago
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Appro
lana66690 [7]

Answer:

Width = 54.3 inches

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

Width² + Height² = Diagonal²

From the above question

Width= ??

Height = 30 inches

Diagonal = 62 inches

Width² + 30² = 62²

Width² = 62² - 30²

Width = √62² - 30²

Width =✓2944

Width = 54.258639865 inches

Approximately

Width = 54.3 inches

Hence, the new television was 54.3 inches wide.

7 0
2 years ago
The table shows the relationship of how many cherries are needed to make a certain number of pies
Olin [163]
What table? Maybe if you include the table and the question I could help you more
5 0
2 years ago
Find the valu of missng anglr<br>P<br>Х<br>X<br>X<br>Q<br>R<br> ​
nikitadnepr [17]

Answer: it is p

Step-by-step explanation:

8 0
2 years ago
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