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Gelneren [198K]
3 years ago
15

What is the absolute value of -16?

Mathematics
2 answers:
puteri [66]3 years ago
6 0
The apsolute value of -16 is 16
Travka [436]3 years ago
5 0
|-16|=16
........
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Factor the GCF: 12a3b + 8a2b2 − 20ab3
Harrizon [31]
<span>12a^3b + 8a^2b^2 − 20ab^3

</span>12a^3b = 4ab(3a^2)
8a^2b^2 = 4ab(2ab)
20ab^3 = 4ab(5b^2)

GCF = 4ab

12a3b + 8a2b2 − 20ab3 = 4ab(3a^2 + 2ab - 5b^2)
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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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