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oksano4ka [1.4K]
4 years ago
7

Find the value of p and q such that 2x² - 4x + 3 = 2(x-p)²+q​

Mathematics
1 answer:
EastWind [94]4 years ago
5 0

Answer:

q= 4xp - 2p² - 4x + 3

p=

Step-by-step explanation:

2x² - 4x + 3 = (x -p) + q

OPEN BRACKET:

2x² - 4x + 3 = 2(x² - 2xp + p²) + q

2x² - 4x + 3 = 2x² - 4xp + 2p² + q

-4x + 3= 4xp + 2p² + q

-q = -4xp + 2p² + 4x - 3

q = 4xp - 2p² - 4x + 3

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A 95% confidence is given by (15,20) . The interval is based on a sample of size n=25 .
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Answer:

b. quadruple the sample size.

Step-by-step explanation:

Given that a 95% confidence is given by (15,20) .

this implies that mean = average of lower and higher bounds of confidence interval = \frac{15+20}{2} =17.5

Margin of error = Upper bound - Mean = 20-17.5 = 2.5

Confidence level = 95%

Critical value = 1.96

Std  error = \frac{2.5}{1.96} =1.27551

Std devition = Std error * sqrt n = 6.3775

If we want to reduce margin of error by half we must get margin of error as 1.25

For that std error for same critical value = 0.63775

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So sample size only changed which implies that sample size is 4 times the original

b. quadruple the sample size.

5 0
3 years ago
Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish cos
kolezko [41]

The system of equations that can be used to determine the number of tetra fish and goldfish purchased is:
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<h3>What are the system of equations ?</h3>

In order to determine the required values, two linear equations would be formed from the question. The two equations would exhibit the relationship between the two types of fishes:

The first equation would show the ratio between the two types of fishes bought: 2y = x

Th second equation would show the total cost of the two type of fish:1.5y + 2x = 20

To learn more about simultaneous equations, please check: brainly.com/question/16763389

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2 years ago
Read 2 more answers
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X=7/3
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3 years ago
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