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
jarptica [38.1K]
3 years ago
14

Enter the equation of the circle described below. Center (3, -2), radius = 5

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

(x-3)^{2} +(y+2)^{2} =5^{2}

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

(x-a)^{2}+(y-b)^{2}  =r^{2}

When A=(3,-2) and radius=r=-5

(x-3)^{2} +(y+2)^{2} =5^{2}

You might be interested in
A survey of 700 adults from a certain region​ asked, "What do you buy from your mobile​ device?" The results indicated that 59​%
Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are  (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes n_{1} = 400 and n_{2} = 300

Proportion of mean p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52

<u>Null hypothesis H0</u> : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

<u>Alternative hypothesis H1:</u>- p1 ≠ p2

a) The test statistic is

Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )}  } }

where p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}  

on calculation we get   p = 0.56    

now q =1-p = 1-0.56=0.44

Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )}  } }\\   =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300}   }

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

<u>conclusion</u>:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) <u>95% confidence intervals</u>

The confidence intervals are P± 1.96(√PQ/n)

we know that = p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of <u>confidence intervals  (0.523 ,0.596)</u>

<u></u>

3 0
3 years ago
Scientific notation is written in the form a*10^n. What must be true about the a value?
Rama09 [41]

Answer:

It has to be a single digit between 1 and 10

8 0
2 years ago
Read 2 more answers
Calculator
frutty [35]

Answer:

1) There are two definitions Charlotte came up with to define the quantity:

• Number of new subscribers divided by number of posts

• Number of new subscribers divided by number of words

2) No. The definitions have opposite results

6 0
2 years ago
Read 2 more answers
Please someone solve for X, I don’t think it needs rounding but I couldn’t come up with an answer.
agasfer [191]

Answer:

x= 10 In (17)

Step-by-step explanation:

5 0
3 years ago
Write in standard notation (1/sqrt2-1/sqrt2 i)^6
vesna_86 [32]
Hello,

z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
======================================================
7 0
2 years ago
Other questions:
  • Factor these expressions: <br> A. 4x+12<br> B. 8r-14<br> C. 5x+35
    14·1 answer
  • there are 20 students in the band .the wind pipe players make up 3/4 of the band .how my people in the band play wind pipes?
    11·1 answer
  • HEO asap 8th grade math
    14·2 answers
  • How do you solve 10b-(-b)-9b-7a+10a+5
    7·1 answer
  • A certificate of deposit earns 0.75% interest every three months. The interest is compounded. What is the value of a $32,000 inv
    6·2 answers
  • Determine whether the statements are True or False. Justify your answer with an explanation.
    9·1 answer
  • Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?
    14·2 answers
  • there are 15 rafts available for people to use on the adventure river ride. each raft holds 12 people. the park runs this ride 3
    5·1 answer
  • The probability of choosing a green marble from a bag is 3/5.
    15·1 answer
  • I really need help with this question
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!