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Vlada [557]
4 years ago
8

Dexter's electricity company charges customers for how much electricity they use based on whether the customer's power lines are

up on poles or underground. The rate for power lines on poles is $41.16 per watt, and the rate for power lines underground is $16.99 per watt. If Dexter is using power lines on poles, write an equation for what he owes 'y' for how many watts of power he uses 'x'.
Mathematics
1 answer:
8_murik_8 [283]4 years ago
8 0

Answer:

Step-by-step explanation:

The rate for power lines on poles, the one that Dexter uses, is $41.16 then the equation for what he owes that depend on the number of watts he uses is:

Y(what he owes)= $41,16*x(number of watts)

Y= $41,16x

If Dexter do not use the power lines underground, then we should not include this on the equation for what he owes.

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An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh
Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given by:

n = 600, \pi = \frac{400}{600} = 0.6667

Hence, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

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5 0
2 years ago
The entire question is un the picture
n200080 [17]
A) 6x -5y = 5
B) 3x + 5y = 4
Adding the equations:
9x = 9
x = 1

A) 6*1 -5y = 5
A) 6 - 5 = 5y
A) 5y = 1
y = 1/5 = .2


7 0
3 years ago
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