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
OverLord2011 [107]
3 years ago
8

What is the equation of a circle with its center at (10,−4) and a radius of 2?

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

The answer to your question is the last option ( (x - 10)² + (y +4)² = 4 )

Step-by-step explanation:

Data

Center = (10, -4)

radius = 2

Formula

                        (x - h)² + (y - k)² = r²

Substitution

h = 10

k = -4

r = 2

                        (x - 10)² + (y +4)² = 2²

Equation

                       (x - 10)² + (y +4)² = 4

You might be interested in
A set has 62 proper subsets how many elements has it for?<br>​
MrRissso [65]

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

5 0
2 years ago
Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
3 years ago
The mountain climber descended 437.85 feet every hour. What is the change in the climber's elevation after 6 hours?
bogdanovich [222]
The answer should probably be 2627.1 feet

Hope this helps!
7 0
3 years ago
Read 2 more answers
Compare the linear functions expressed below by data in a table and by an equation.
Dahasolnce [82]

Answer:

B, C, and E

Just took the test

8 0
3 years ago
Read 2 more answers
PLEASE HELP. .......
Anna11 [10]

Answer:

40

Step-by-step explanation:

Can fit 4 length wise, 5 width wise, and 2 depth wise. So 40 packages total.

5 0
2 years ago
Other questions:
  • The perimeter of a certain rectangle is 16 times the width. The length is 12cm more than the width. Find the length of the recta
    8·1 answer
  • Students were surveyed about their favorite colors 1/4 of the students preferred read 1/8 of the students preferred blue and 3/5
    10·1 answer
  • What’s the answers????!!!!
    7·1 answer
  • Perform the indicated operation of <br>4.2+1.9​
    10·1 answer
  • Write 6(x – 5)4 + 4(x – 5)2 + 6 = 0 in the form of a quadratic by using substitution.
    7·1 answer
  • Algebraically find the inverse of a function​
    9·1 answer
  • What is the value of the expression, if p=42?<br> Then whats p+22
    11·2 answers
  • Whats the length in meters of CD?​
    11·1 answer
  • Look at this graph:
    9·1 answer
  • Make and equation using the numbers 1, 7, 2, and 2. You can merge the numbers like turning 1 and 7 to 17 in your equation. It ha
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!