Answer:
Step-by-step explanation:
A(0,0), B(2,0), C(3,-3)
Perpendicular bisector of AB: x=1
Perpendicular bisector of AC: y=x-3
Center of circle = intersection of perpendicular bisectors = (1,-2)
Radius = √5
(x-1)² + (y+2)² = 5
] Consider a randomly shuffled deck of ten cards labeled {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three to be drawn. Which one should be worth more points: A getting a pair of matching cards within the three, or B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third (e.g. 1 2
Answer:
B should be worth more points.
Step-by-step explanation:
Given - Consider a randomly shuffled deck of ten cards labeled
{1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three
to be drawn.
To find - Which one should be worth more points:
A getting a pair of matching cards within the three,
or B getting a set of three cards that can be arranged such
that the sum of two of them is the value of the third.
Proof -
Given that, three cards has to be drawn.
So, total number of ways the card be drawn = ¹⁰C₃
= [tex]\frac{10!}{3! (10-3)!}[/tex]
= [tex]\frac{10!}{3! 7!}[/tex]
= [tex]\frac{10.9.8.7!}{3! 7!}[/tex]
= [tex]\frac{10.9.8}{3.2.1}[/tex]
= 120
⇒¹⁰C₃ = 120
Now,
Given that, A getting a pair of matching cards within the three
Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);
(2,2,1),(2,2,3),(2,2,4),(2,2,5);
(3,3,1),(3,3,2),(3,3,4),(3,3,5);
(4,4,1),(4,4,2),(4,4,3),(4,4,5);
(5,5,1),(5,5,2),(5,5,3),(5,5,4) }
⇒n(A) = 20
Also,
B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third
Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }
⇒n(B) = 6
Now,
P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167
P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05
We can see that, P(B) < P(A)
⇒B should be worth more points.
if z + 5 = 4 , what is the value of 3z + 6 ?
Answer:
3
Step-by-step explanation:
z+5=4=>z= -1
3(-1)+6=3
Constructed line PQ is the _______________ of line segment CD.
Answer:
Perpendicular bisector
Step-by-step explanation:
Construction done:
1). An arc is drawn from point O which intersects line 'l' at two points C and D.
2). From the points C and D two equal arcs on both the sides of the line 'l' have been drawn intersecting each other at points P and Q.
3). Points P and Q have been joined with the help of a straightedge.
Hence constructed line PQ is the PERPENDICULAR BISECTOR of the line segment CD.
Name two angles that are adjacent to
Polina’s math scores are shown in the table. Polina’s Math Scores Math Scores 72 65 75 88 90 What is the mean absolute deviation of her math scores? 5.4 6.4 7.8 8.8
The mean absolute deviation of Polina's math scores is 8.8.
The answer is D) 8.8.
What is the mean absolute deviation?
The mean absolute deviation (MAD) is a measure of variability that quantifies the average difference between the observations in a dataset and the dataset's mean. It is calculated by finding the average of the absolute deviations of the data points from their mean.
To find the mean absolute deviation (MAD) of Polina's math scores, we first need to find the mean of the scores:
Mean = (72 + 65 + 75 + 88 + 90)/5
Mean = 78
Next, we find the absolute deviation of each score by finding the difference between each score and the mean, taking the absolute value of the difference, and then adding up the absolute differences:
|72 - 78| = 6
|65 - 78| = 13
|75 - 78| = 3
|88 - 78| = 10
|90 - 78| = 12
Sum of absolute deviations = 6 + 13 + 3 + 10 + 12
Sum of absolute deviations = 44
Finally, we find the MAD by dividing the sum of the absolute deviations by the number of scores:
MAD = 44/5
MAD = 8.8
Therefore, the mean absolute deviation of Polina's math scores is 8.8.
The answer is D) 8.8.
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Answer:
d ( 8.8)
Step-by-step explanation:
/edge 2023/ sorry if I'm wrong , have a good day!
can someone please help me
Answer:
[tex]\theta =135[/tex]
Step-by-step explanation:
Required
Interior of a regular octagon
This is calculated using:
[tex]\theta =\frac{180(n-2)}{n}[/tex]
Where
[tex]n = 8[/tex]
So:
[tex]\theta =\frac{180(8-2)}{8}[/tex]
[tex]\theta =\frac{180*6}{8}[/tex]
[tex]\theta =135[/tex]
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
- 12 = 2 + 5d + 2d
................
Answer:
-2
Step-by-step explanation:
12=2+7d
7d= -12-2
7d= -14
d= -14
-----
7
d= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-12 = 2 + 5d + 2d}[/tex]
[tex]\large\text{FLIP the EQUATION}[/tex]
[tex]\large\textsf{2 + 5d + 2d = -12}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{\underline{(5d + 2d)} + \bf{(2)}}\large\textsf{ = (-12)}[/tex]
[tex]\large\textsf{5d + 2d = \underline{7d}}[/tex]
[tex]\large\textsf{2 = \bf 2}[/tex]
[tex]\large\textsf{-12 = -12}[/tex]
[tex]\rightarrow\large\text{New equation: }\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\textsf{7d + 2 = -12}[/tex]
[tex]\large\text{SUBTRACT by 2 to BOTH SIDES}[/tex]
[tex]\large\textsf{7d + 2 - 2 = -12 - 2}[/tex]
[tex]\large\text{CANCEL out: \textsf{2 - 2} because that gives you \textsf{0}}[/tex]
[tex]\large\text{Keep: \textsf{-12 - 2}}\large\text{ because it helps you solve for d}}[/tex]
[tex]\large\textsf{-12 - 2 = -14}[/tex]
[tex]\rightarrow\large\text{New equation: \text{\underline{7d} = -14}}[/tex]
[tex]\large\textsf{7d = -14}[/tex]
[tex]\large\text{DIVIDE 7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{7d}{7}=\dfrac{-14}{7}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{7}{7}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{-14}{7}}\large\text{ because it helps you solve for d}[/tex]
[tex]\mathsf{\dfrac{-14}{2}=-14\div 7\rightarrow \bf d}[/tex]
[tex]\large\text{Solve above and you will have your d {(aka your answer)}}\uparrow[/tex]
[tex]\mathsf{\dfrac{-14}{7}=\bf -2}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf d = -2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find a degree
4
polynomial having zeros
−
6
,
−
4
,
3
and
8
and the coefficient of
x
4
equal
1
.
Answer:
755757
Step-by-step explanation:
rectangle phone is 20 inches wide and 25 inches tall and enlargement of that photo is 32 inches wide and 40 inches tall with a scale factor being used in large the photo
0.625
1.6
1.28
0.78
Find the missing length of the right triangle below.
8 ft
15 ft
Answer:
23 or 19
Step-by-step explanation:
15+8= 23
23-4= 19
i added 15 and 8 because if you were to flatten the triangle it would be next to the base, so i added it. I subtracted 4 because side C doesn't look like it is is about 23 ft. it could be 20 too.
i am not exactly sure. sorry if you get it wrong. I am so sorry if i got it wrong.
ABC measures 140° and is bisected
by BD. What is mDBC= ?
Answer:
angle abc =140°
and bd bisected by bd so, bd divede angle abc.
angle dbc= angle abc / 2
angle dbc=140°/2
angle dbc=70°
The measure of angle DBC from the given figure is 70°.
The measure of angle ABC is 140°.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
Angle bisector BD is bisecting angle ABC equally, which is
∠ABC=∠ABD+∠DBC
⇒ 140°=∠DBC+∠DBC
⇒ 2∠DBC=140°
⇒ ∠DBC=70°
Therefore, the measure of angle DBC from the given figure is 70°.
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CAN SUM1 please helppp!?♥️
Answer:
x = 32
Angle 1 = 96
Angle 2 = 84
Step-by-step explanation:
3x + x + 52 = 180
4x + 52 = 180
-52 -52
4x = 128
divide by 2
x = 32
___________________
1 = 3x
3(32)
1 = 96
___________________
2 = x + 52
2 = 32 + 52
2 = 84
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
10. A tennis racquet costs $89.50. How much do you save when the store advertising that it will pay the tax?
Answer:
It depends on the amount of tax. That also depends on the state of the sale.
Step-by-step explanation:
Workout the following divisions.
Answer:
12x
Step-by-step explanation:
[tex]12x(8x - 20) \div 4(2x - 5) \\ \\ = 12x \times 4(2x - 5) \div 4(2x - 5) \\ \\ = \frac{12x \times \cancel{ 4(2x - 5)}}{\cancel{ 4(2x - 5)}} \\ \\ = 12x[/tex]
Pre calculus law of sines
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
Hello! Please ignore the stuff I already wrote, can someone help me find x and y?
Answer:
x=12
y=[tex]12\sqrt{3}[/tex]
Step-by-step explanation:
Hey There!
to solve this problem we need to use the 30 - 60 - 90 triangle rule
So you are correct on x because the hypotenuse is 2x
24/2=12
y would equal [tex]12\sqrt{3}[/tex]
as you could see in the image down below
How many 1/6 pound servings are in 10 pounds of chicken ? Pls help
Answer:
60
Step-by-step explanation:
1/6 * 60 = 60/6
60/6 = 10/1 = 10
The number of 1/6 pound servings in 10 pounds of chicken is; 60
Division of fractionWe are required to determine how many 1/6 pound servings are in 10 pounds of chicken.
Hence ; we have;
10 ÷ 1/610 × 6/1= 60.
Read more on divisions;
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The height of a cylinder is 18 cm. The area of the base of the cylinder is 25 ㎠. Find V.
Round the whole number to the given place. 75,801,300 to the nearest million
Answer:
76,000,000
Step-by-step explanation:
Look at the 100,000 place and see whether to round up or down - 8 is larger than 5, therefore 75,000,000 gets rounded up to 76,000,000
need help geometry question central angles and arcs
Answer:
255
Step-by-step explanation:
180+75=255
PLEASE HELP!!!!
Factor:
9a^2 - 121
Answer:
(3a + 11) (3a - 11)
Step-by-step explanation:
:))
I need help with these
3 more than half a number is less than 20
2 times less than 16 is at least 50
100 is less than a number divided by 2.83
I just need them translated into numbers I can find the answer from there
Step-by-step explanation:
n/2 + 3 < 20
50 >= 16- 2n
n / 2.83 > 100
Work out the percentage change to 2 decimal places when a price of £200 is increased to £210.99.
Answer:
Let percentage be x%
According to the question
200+x%of 200=£210.99
X%of 200=£210.99-200
X/100×200=10.99
X=10.99/2=5.495% is required percentage.
Step-by-step explanation:
AN(B\C)=(ANB)\C
how to prove if True or False?
Answer:
AN*(B\C)=(ANB)\C=>ANB/C=ANB/C
Answer:
It's true but I don't know if my proof is technical enough for you.
Step-by-step explanation:
Multiplication and division of numbers can happen in any order.
Name: Unit 4: Congruent Triangles Date: Per: : Homework 1: Classifying Triangles H page 2
Please help solve the equations
Answer:
13x=4 :-) !!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1-) -2 + 7x + 2 = 2 + 6x + 2
2-) 7x = 6x + 4
3-) 7x - 6x = 6x + 4- 6x
4-) X= 4
Sharon is in charge of water bottles for a school field trip.
She has 24 bottles with 500 mL of water each and 15 bottles with 1,000 mL each.
How many liters of water does Sharon have in all?
Answer:
The conversion rate is 1-liter equals 1000 milliliter.
Step-by-step explanation:
(24*500 + 15*1000) Total milliliters
(24*500 + 15*1000)/1000 Conversion Rate
Answer is 27 liters.
Find the area of the square in inches 2 and enter your answer below. Do not include units in your answer.
Answer:
4 in²
Step-by-step explanation:
A= l * w
A= 2 * 2
A= 4
need help badly geometry question :(
Answer:
D. 13.02
Step-by-step explanation:
Apply trigonometric function to find the height (h) of the wall.
Reference angle = 40°
Hypotenuse = 17 ft
Adjacent = h (height of the wall)
Apply CAH:
Cos 40 = Adj/Hyp
Cos 40 = h/17
17*Cos 40 = h
13.0227555 = h
h ≈ 13.02 ft