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maxonik [38]
3 years ago
12

What is the domain of the function​

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

\mathsf{Given \ function \ is : 2\sqrt{x - 6}}

We can see that there is a square root in the function.

As the value inside the square root should always be positive, We can conclude that (x - 6) should always be positive and can also be equal to zero.

\implies \mathsf{x - 6 \geq 0}

\implies \mathsf{x \geq 6}

\implies \mathsf{6 \ \leq \ x \ < \ \infty}

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3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
Shtirlitz [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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3 years ago
Julio signs a new lease for $800 and in the agreement the complex will raise his rent 3% each year that he renews. As of right n
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What is the slope of the line? 3x-4y=73x−4y=7
Andrei [34K]
To find the slope, we put this in y = mx + b form where m is ur slope.

3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4

y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
7 0
3 years ago
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