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Natalija [7]
3 years ago
15

What is the equation of the circle shown below?​

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Step-by-step explanation:

Equation of circle: (x + 2)² + (y - 2)² = r²

Radius of the circle is 3 (from -2 to 1).

Hence we have

(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
$5000 dollars is borrowed for 3 months at an annual interest rate of 18%. How much interest must be paid?
PIT_PIT [208]

Answer:

Step-by-step explanation:

18:12*3=4,5

5000*4,5:100=225

5000+225=5225

7 0
3 years ago
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overd
Sergio039 [100]

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

3 0
3 years ago
What is the square route of 5?
denis-greek [22]

Square root are the same 2 numbers multiplied.

Ex: 8*8=64 (Square root is 8)

9*9=81 (Square root is 9)

2.2360679775*2.2360679775=5

Answer=2.2360679775


6 0
3 years ago
The leg lengths of a right triangle are 4 cm and 6 cm. What is the length of the missing side?
iren [92.7K]

Answer:

Step-by-step explanation:

5 0
3 years ago
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