Answer:
(x+3)^2 + (y+2)^2 = 16
Step-by-step explanation:
hi!
so the equation of a circle with the center (h,k) and a radius r is:
(x-h)^2+(y+k)^2 = r^2
- h is the x value
- k is the y value
- r is the radius
so using your information you can plug in the given values into the "blanket" formula
which would result in:
(x--3)^2 + (y+2)^2 = 16^2 --> since there is a double negative, you can change that to a positive :)
this means that your equation is:
[tex](x+3)^{2} + (y+2)^{2} = 16^2[/tex]
and you can even simplify 16^2 = 256
end formula!
[tex](x+3)^{2} +(y+2)^{2} = 256[/tex]
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
Learn more about probability here
https://brainly.com/question/16484393
#SPJ2
For the function f(x) = x2
Find f(5) =
Find f(-5)
Answer:
f(5)=(5)²=25
f(-5)=(-5)²=25
NB. Some teachers don't want 2 equals on one line, if it's your case please don't write the 2 equals on the same line
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them
play baseball. There are 7 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
There are two kids who play baseball and basketball, and 21 students in total. Making the answer 2/21
A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.
What is the volume of the prism?
Enter your answer.
Find the exact perimeter of the circle with a radius of 5 and round your answer to 2 decimal places
Answer:
31.42
Step-by-step explanation:
A sports trainer has monthly costs of $65.94 for phone service and $42.23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =
Answer:
C(x) = 138.17
Step-by-step explanation:
Enter an
algebraic expression for the word expression.
9 decreased by n
The expression is
Answer:
9 - n
Step-by-step explanation:
could you make me brainliest if this helped? :)
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6
First to answer get brainliest.
If the equation given to you as a reference is, p = x - 3 + (14*29), and x is 7, then what is p? I made it fairly easy so don't disappoint me.
Answer:
see explanation
Step-by-step explanation:
p = x - 3 + (14*29)
substitute 7 for x
p=7-3+(14*29)
p=410
factorise fully 24squared + 18x
Answer:
18(32+ x)Step-by-step explanation:
24 square + 18x 576 + 18 x18(32+ x)6(s+t)=(6•s)+(6•t)
What property is shown above?
The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Hello I need help please anyone help me ??????!!!!!!
Answer:
(x-4)^2
(x-4)(x-4)
x^2-4x-4x+16
X^2-8+16
Jake has 40 books in his collection. If 60% of the books are about sports, how many books are NOT
about sports?
if two cards are chosen from a pack of 52 play cards at a time with replacement , what is the probability of getting one heart?
Need help!!! Quick !!!
Answer:
(2, 24) (6, 72) (9, 108)
Step-by-step explanation:
For this one, we know that 2 chairs use 24 screws, which must mean that for each chair, 12 screws are needed, so we can just multiply 12 by the number of chairs being built (ex. 6) to find out how many screws are needed in total. I hope this helps :)
Write an expression using an expoent that is equivalent to 9x9x9x9x9x9x9.
Answer:
try nine to the seventh power
Step-by-step explanation:
tell me if it works
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 13.
The probability of rolling a number less than 13 is
(Type an integer or a simplified fraction)
The probability of rolling a number less than 13 is 1 in 12, 1/12, or %8.3 chance
Answer:
Step-by-step explanation:
It takes half of a yard of ribbon to make a bow, how many bows can be made with 7 yards of ribbon
Answer:
14
Step-by-step explanation:
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
A baseball team has 9 players. how many different batting orders are there?
a. 6,561
c. 244,643
b. 362,880
d. 64,446
Please select the best answer from the choices provided
A
B
С
D

9514 1404 393
Answer:
b. 362,880
Step-by-step explanation:
There are 9 ways to choose the first batter, 8 ways to choose the second, and so on. There are a total of 9·8·7·6·...·2·1 = 9! = 362,880 ways to arrange the batting order.
Thanks if you helped ily
Answer:
R.Jordan
Step-by-step explanation:
He/she owes the bank $54.31, compared to M. Palmer who owes the bank $56.72, and B. Leftwich, who owes the bank $74.19.
R.Jordan owes the bank the least amount of money.
Hope that helps!
-Sabrina
please help me please
Answer:
18.75
Step-by-step explanation: Because the height of the shape is both the same, you can just find the area like the normal rectangle.
Answer:
12.5
Step-by-step explanation:
If you use the formula you get 12.5 formula is A=a+b/2xh that will give 12.5
2 2/5 x 3/4
plz help me! and plz show your work.
Answer:1.8
Step-by-step explanation:
0.5 to the second power x (20-2 to the third power x 3)x(2/5x25)
Answer:
489
Step-by-step explanation:
the question is in the picture
9514 1404 393
Answer:
b = 2.8253A = 45.2°C = 107.4°Step-by-step explanation:
The given sides form the given angle, so the Law of Cosines can be used to find the third side.
b = √(a² +c² -2ac·cos(B)) ≈ √7.982544072 ≈ 2.8253
The measure of angle A can be found from the Law of Sines.
A = arcsin(a/b·sin(B)) ≈ arcsin(0.71017) ≈ 45.2°
Angle C can be calculated from the other two angles.
C = 180° -27.4° -45.2° = 107.4°
Find the absolute value
-5/6|
Answer:
5/6 OR 0.83 (with the three repeating)
Hope that helps!
Step-by-step explanation:
What is the range of the function f(x)=−3^x − 4?
(−3,∞)
(−4,∞)
(−∞,−3)
(−∞,−4)
If you culd please explain thanks
Answer:
(-oo, -4)
Step-by-step explanation:
The y-intercept is -4 and the function is negative. The y value continues infinitely downward and never rises past -4.
gina sees a rectangular quilt with an area of 3,528 square inches.The length of the quilt is 72 inches. what is the width of the quilt
Answer:
Step-by-step explanation:
90 x 108 = 10,368 x .015 = 155.52
There is a $35 minimum for all quilting.
Thread will be matched as closely as possible to your quilt. There will be a $5.00 minimum charge on thread. Variegated threads will be a $7.50 charge. We like to use cone threads so please do not bring small spools to be used.
Battings:
We keep the following batts in stock as prepackaged, precut sizes:
Hobbs Poly Down - White and Black, Hobbs Heirloom (80%cotton / 20% poly) Cream, Hobbs Organic Cotton without Scrim (this should not be used on light colored fabrics), Hobbs Wool, Dream Poly—White and Black, Warm and Natural—cotton Cream, Dream Cotton—White and Cream
The following are sizes available:
Crib 46 x 60 Full 92 x 96 Craft 36 x 46
Throw 60 x 60 Queen 92 x 108
Twin 72 x 92 King 121 x 121
Linings:
If you supply the lining, please be sure it measures at least 4” larger than the length and width of the quilt top. We can also supply the lining from our own fabric at the retail cost. If the lining requires piecing, we can do this for a $10 per seam fee.
Bias Bindings can be put on at Quilt ‘N Stitch. We provide the following services. (You must provide the fabric for the binding.)
1. The fee to half bind in $.15 per linear inch. (Half bind is where we attach the binding to the quilt front and you sew down the back.
2. If we do complete binding, finishing on the machine the fee is $.20 per linear inch.
3. If we do complete binding, finishing by hand the fee is $.25 per linear inch..
Yardage required for binding: 60” x45” — 1/2 yard: 90” x 72” — 5/8 yard: 81” x 96” — 2/3 yard: 90” x 108” — 3/4 yard: 120” x 120” — 1 yard.
Answer:
49 inches is the width
Step-by-step explanation:
3,528÷72=49
49*72=3,528
hope this helps <3
jay has an album that holds 600 coins. Each page of the album holds 6 coins. If 39% of the album is empty, how many pages are filled with coins ?
____ pages are filled with coins
Pls help me with this
9514 1404 393
Answer:
61
Step-by-step explanation:
If there are 6 coins on each page, then the number of pages for 600 coins is ...
(600 coins)/(6 coins/page) = 100 pages
__
If 39% are empty, then 100% -39% = 61% are filled.
The number of filled pages is ...
61% × 100 = 61/100 × 100 = 61 . . . . pages filled
_____
Comment about percent
You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100
("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)