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Ulleksa [173]
2 years ago
14

With solving and it’s better to edit the photo and send it

Mathematics
1 answer:
Daniel [21]2 years ago
5 0

Step-by-step explanation:

please mark me as brainlest

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the anwser is 12

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Lim. √2x -√3x-a/√x-√a<br>x approaches a​
Ludmilka [50]

Answer: \sqrt{2}a-\sqrt{3}a-2\sqrt{a}

Step-by-step explanation:

\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)

=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}

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3 0
3 years ago
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologi
Alex Ar [27]

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, Z_{\alpha/2 = 1.96

now, confidence interval for population mean is given by the formula

x' ±  Z_{\alpha/2( σ/√n )

so we substitute

⇒ 48800 ±  1.96( 16800/√36 )

⇒ 48800 ±  1.96( 2800 )

⇒ 48800 ±  5488

⇒ 48800 -  5488, 48800 +  5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

6 0
2 years ago
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