1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
2 years ago
9

Find the equation of a circle whose center is at (-3, 7) and radius is 9 units.

Mathematics
2 answers:
Wittaler [7]2 years ago
5 0

Answer:

x^2+y^2+6x-14y-23=0

Step-by-step explanation:

(x-(-3))^2+(y-7)^2=9^2\\x^2+6x+9+y^2-14y+49=81\\x^2+y^2+6x-14y-23=0

timurjin [86]2 years ago
3 0

Answer:

(x + 3)² + (y - 7)² = 81

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

here (h, k ) = (- 3, 7 ) and r = 9 , then

(x - (- 3) )² + (y - 7)² = 9² , that is

(x + 3)² + (y - 7)² = 81

You might be interested in
The third plant is planted in the same soil as the others, but it receives only
Karo-lina-s [1.5K]
The ratio is 2 weeks:6 centimeters, so let’s simplify: To know how much it grew in ONE week, we need to divide by 2, so 2/2=1 and 6/2=3 so the ratio now is 1:3 now, we multiply those by the number of weeks: 6. So 1x6=6 and 3x6=18 the ratio is 6:18. The plant will be 18 centimeters after 6 weeks
4 0
3 years ago
What is 899.16 divid150?
VashaNatasha [74]
The answer is 5.9944
3 0
3 years ago
Read 2 more answers
Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic
jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234

Distribution of the difference:

p = p_h - p_n = 0.575 - 0.125 = 0.45

s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034

Confidence interval:

The confidence interval is:

p \pm zs

In which

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

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower bound is 0.45 - 1.96(0.034) = 0.3834

The upper bound is 0.45 + 1.96(0.034) = 0.5166

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

3 0
3 years ago
A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking? (Hint: 1 gallon = 16 cups)
Vesnalui [34]

Answer:

.65625 gallons a week

Step-by-step explanation:

1.5 x 7=10.5

10.5/16= .65625

4 0
3 years ago
Read 2 more answers
In Math, what does justify your answer using complete sentences mean?
const2013 [10]
'justify your answer using complete sentences' means re-write your answer in a complete sentence. In other words, say your answer in a full and clear sentence. 
5 0
3 years ago
Other questions:
  • Does anyone know how to graph this !!????!!
    8·1 answer
  • The angle of elevation of the sun (the angle the rays of sunlight make with the flat ground) at 10:00 a.m. is 29°. At that point
    12·1 answer
  • A baseball player which is based 35% of the time how many times can he expect to reach base and 150 at baths
    5·1 answer
  • It is known that x+y=10 and that x=z show that z+y=10
    15·1 answer
  • 8 gallons equals how many pints? A. 32 pt. B. 2 pt. C. 128 pt. D. 64 pt.
    6·2 answers
  • Katie has to write a summary on the life of William Howard Taft for her social studies class. Which of the following would be th
    9·2 answers
  • what is the longest flagpole (in whole feet) that could be shipped in a box that measures 2 ft by 2 ft by 15 ft?
    5·1 answer
  • Who's seen Haikyuu? Who's your favorite?<br><br>Mine: Kozume Kenma
    9·2 answers
  • Practice with proofs on aleks?
    15·1 answer
  • What are the total calories in a sandwich if it contains 25 grams of total fat?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!