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2 years ago

Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)

1 answer:

3 0

The property used is Division property of equality to get the resulting equation since we divided both sides by 3

Given the inequality expression

3 (−13 x − 23) ≥ 3(7x + 3)

We are to know which of the property is used to arrive at − 13 x − 23 ≥ 7x + 3

We can see that both sides of the expression were divided by 3 as shown:

$\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\$

From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3

Learn more here: brainly.com/question/15816805

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

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3 years ago

Which uses a logarithmic scale?

gregori [183]

Answer: Richter Scale

Step-by-step explanation:

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3 years ago

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Answer true or false for 1-10 (picture above)

Softa [21]

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3 years ago

Please help me

kirza4 [7]

This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
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Area of ONE equilateral triangle = (side x altitude)/2:
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VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

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3 years ago

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3 years ago