Answer:
Step-by-step explanation:
The equation of the circle is ( x + 6 )² + ( y - 4 )² = 36 and the radius is r = 6 units and the center of circle is P ( -6 , 4 )
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the radius of the circle be r = 6 units
The point of center of the circle is at P ( x , y )
The coordinates of the point P is = P ( -6 , 4 )
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
On simplifying , we get
( x - ( -6 ) )² + ( y - 4 ) = 6²
( x + 6 )² + ( y - 4 )² = 36
Therefore , the value of A is ( x + 6 )² + ( y - 4 )² = 36
Hence , the equation of circle is ( x + 6 )² + ( y - 4 )² = 36
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A soccer team is selling shirts and ball caps to raise money to buy new uniforms. Its profit is $8 for each shirt and $5 for each ball cap. The team needs to raise at least $400.
Answer:
you supposed to do 8*5=40
Step-by-step explanation:
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.
A survey found that 68% of book buyers are 40 years old or older. If two book buyers are selected at random, what is the probability that both are 40 years old or older?
Answer:
15%
Step-by-step explanation:
there are 9 rows of tomato plants with 205 plants in each row. How many tomato plants are there in all?
Answer:
1 row = 205plants
9*205=1845plants
Therfore 1845 plants are there in 9 rows of tomato.
Step-by-step explanation:
Please mark as brainliest.
What is the name of this circle?
number 1 is the answer circle FA
Dilation of 2 about the origin
Answer:
I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.
Step-by-step explanation:
Meaning...
shift ∠U 2 blocks to the left on the x-axis
shift ∠V 2 blocks vertically (up) on the y-axis
shift ∠W 2 blocks diagonally to the right
I really hope this helps! I pray this is correct for your sake!
Simplify completely.
(2 + 3i) + (-4+i)
Answer:
-2+4i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression.
The simplified form of the complex expression is -2 + 4i.
What are Complex Numbers?Complex numbers are numbers which are of the form [tex]a+ib[/tex],
where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.
Given expression is (2 + 3i) + (-4 + i).
Addition of complex numbers is defined as,
(a + ib) + (a' + ib') = (a + a') + i(b + b')
Using the definition of addition of complex numbers, given expression can be added as,
(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i
Hence the resulting value is -2 + 4i.
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On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
13, 7, 12, 9, 8, 8, 16
Send data to calculator
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
I minutes
Х
5
?
need asap.
Solve the above equation for x.
Answer:
x=6
Step-by-step explanation:
(1/3x+2=4)x3
x+6=12
x=12-6
x=6
Answer: 6
Step-by-step explanation:
1/3x + 2 = 4
1/3x = 2 (subtracted 2 from both sides to get rid of the 2)
x = 6 (multiplied both sides by 3 to get rid of the coefficient)
QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
c) 4
od) 5
ОООО
There are 4 presses we need.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
And, Each screen press can handle 500 shirts per day.
Now,
Since, In a month there are 30 days.
And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
Hence, Number of shirts need to press per day = 60,000 / 30
= 2,000
Since, Each screen press can handle 500 shirts per day.
Hence, Number of press for 2,000 shirts = 2,000 / 500
= 4
Thus, There are 4 presses we need.
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Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
How do I solve X/12+1/3=-5/3
Answer:
16
Step-by-step explanation:
x/12=5/3-1/3
x/12=4/3
3x=12×4
3x=48
x=16
Answer is in the picture attached
Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.
Answer: this is your answer 4523.9
Step-by-step explanation:
Help me pleaseee!! I’ll mark
Answer:
esarespuesta ad 56
Step-by-step explanation:
Evaluate 2^3x-1 for x = 1.
Answer:
4
Step-by-step explanation:
Answer:
this don't make any sense bro
Step-by-step explanation:
what is the number in between 2 3
Question 6 of 25
Julie ran for 21.8 seconds. Which statement is not true?
A. Julie's time was more than 21 seconds, but less than 22 seconds.
B. All of these statements are true.
C. The 21 represents whole seconds. The 8 represents part of a
second.
D. The 8 represents more time than the 2.
SUS
Whick statement is not true
Answer:
b and d are the answers!
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
Answer:
Step-by-step explanation:
Determine which number is a solution to the inequality.
Answer:
0
Step-by-step explanation:
j + 8 <= 8
Subtract 8 from both sides.
j <= 0
Answer: 0
eureka math grade 9 module 4 lesson 4 problem set
Help me please ASAP please
Answer:
2 x 4=
Step-by-step explanation:
2 x 4 and then no loops 6/8=0.75
Answer: 0.982
Heres why: Если вы мертвы задницу перевел это, чем я сожалею об этом. Это шутка, и, честно говоря, я не имею чертовски понятия, что ответ
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
Un turista pagó un total de 180 dólares en un hotel. La cuenta incluye el costo de tres noches de hospedaje y 75 dólares de alimentación.
El siguiente procedimiento permite determinar cuántos dólares pagó el turista, por cada noche de hospedaje. 3X+ 75 = 180
3X +75 -75 = 180 – 75
3X = 105
¿Cuál de los siguientes pasos completa correctamente el procedimiento?Single choice.
(10 Points)
3X – 3 = 105 – 3
3X + 3 = 105 + 3
3.(3X) = (3).105
3X/3 = 105/3
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
please help beacsue i need to get 67 since im grounded and need good grades
[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]
A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob
Answer:
$61.23
Step-by-step explanation:
Find how much she will spend by adding the costs together
38.85 + 22.38
= 61.23
So, if she buys both, she will spend $61.23
Answer:
[tex] \bf \huge 61.25[/tex]
Step-by-step explanation:
Given that :A new watch costs $38.85a new bracelet costs $22.38to find :If Maddy buys both, how much does she spend ?explanation :we have,
watch cost = $ 38•85bracelet cost = $ 22•38finding the cost of how much maddy spend for watch and bracelet
⟼ watch cost = $ 38•85
⟼ bracelet cost = $ 22•38
⟼ for finding the both cost add watch and bracelet cost
⟼ $ 38•85 + 22•38
⟼ $ 61•23
∴ maddy cost $ 61•23 for buys both.
I need help on this, please help
Answer:i tihnk football is .45 and tennis is .18?
Step-by-step explanation:
i dont know if this is right but im pretty sure it is
help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
A politician running for office called random phone numbers to see what proportion of the vote he could anticipate getting. From his sample of responses, he estimated that he would get 47% ± 4% of the vote with 90% confidence. When calling, some people refused to answer his question about whether they plan to vote for him, some people never answered the phone (even after repeated calls), some people do not have landlines (or are unlisted), some people may not have told the truth since the politician himself talked to them, and some were not sure yet whom they plan to vote for.
What biases are present that cannot be accounted for through margin of error? Check all that apply.
voluntary response bias
undercoverage
response bias
nonresponse bias
sampling variation
Answer:
It’s B, C, D
Step-by-step explanation:
Also can anyone help with these problems too?
Answer:
6. a
------
7. b
------
8. d
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9. d
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What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick
Answer:
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].
Step-by-step explanation:
There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:
[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)
Where:
[tex]A(x,y)[/tex] - Point of origin.
[tex]B(x,y)[/tex] - Point of destination.
[tex]r[/tex] - Partition factor.
Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]
[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]
[tex]P(x,y) = (-1,-8) + (2,2)[/tex]
[tex]P(x,y) = (1, -6)[/tex]
Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]
[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]
[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]
[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]
[tex]P(x,y) = (3, -4)[/tex]
There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].