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2 years ago

-x=-24 it’s for pre-algebra

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

6 0

Answer:

$x = 24$

Step-by-step explanation:

$- x = - 24$

If you didn't know, this equation is actually equal to

$- 1 \times x = - 1 \times 24$

Divide -1 on both sides:

$x = 24$

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A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se

Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

$\overline{x}=19.1$ years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : $\alpha= 1-0.99=0.01$

Degree of freedom : df= 8 (∵df =n-1)

Critical value : $t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355$

The 99% confidence interval for the population mean would be :-

$\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}$

$19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)$

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

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3 years ago

The slope of a line parallel to the graph of 4x-5y=12

Leya [2.2K]

Parallel lines have the same slope.

$4x-5y=12 \\ -5y=-4x+12 \\ y= \frac{4}{5}x- \frac{12}{5} \\ \\ slope:\frac{4}{5}$

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3 years ago

What are three basic states of matter

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Answer:

Step-by-step explanation:

Here:

Solid
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2 years ago

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