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Pavlova-9 [17]
3 years ago
12

Is there a formula for problems like these? How do I even begin to solve it?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
Well, they're saying 9 with an exponet of 2 multiplied by something equals 27..... Hmmm.....
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X^2+y^2+14x+10y=7 <br> center and radius
Sholpan [36]
(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-the\ coordinates\ of\ the\ center\\r-the\ radius\\\\==================================\\Use:(k+l)^2=k^2+2kl+l^2\ (*)\\==================================

x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

Answer:\\\boxed{(-7;-5)-center;\ 9-radius}
8 0
3 years ago
Read 2 more answers
a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske
Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

7 0
3 years ago
Can someone please help me with part B?
Ira Lisetskai [31]
Y = - 20x + 100

Slope is -20, y-intercept is 100.
4 0
3 years ago
How do you simplify?
Katyanochek1 [597]

Answer:

by making something simpler to understand

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Does somebody know the answer to this question I’m lost
Shkiper50 [21]

Answer:

81b + 4 - 14/3b

Step-by-step explanation:

divide by 3b, u can leave the fraction in there

7 0
3 years ago
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