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3 years ago

15

Which linear equation is modeled by the graph?

2 answers:

elena55 [62]3 years ago

4 0

C is the correct answer

Angelina_Jolie [31]3 years ago

4 0

The answer is option A. If you observe the graph carefully...you can observe that the slope is positive and the y-intercept is -5. But it doesn't match with any in the option. That means you have to simplify every equation. For that move the X values to the right hand side then move the coefficient of y to the right hand side...that should give you the solution. This will take time and one shouldn't spend time in mcq. To save your time....just play around with signs. You can get the solution directly. we can observe that the slope is positive and if we move the positive X values then we will be getting negative slope...which ain't meeting the condition....thus we have to move the negative X to the right hand side to have positive slope...thus option a is correct.

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Is -10 a rational number

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3 years ago

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Mice21 [21]

Answer:

I think it is false. sorry if im wrong!

Step-by-step explanation:

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3 years ago

What is the measure of x in degrees ?

mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

$x+145=180$

Solve for x. Subtract 145 from both sides:

$x+145-145=180-145\\\\x=35$

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:Done

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3 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

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3 years ago

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alexandr1967 [171]

Answer:

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Step-by-step explanation:

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