Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4
Write the equation of the line
a) Slope = -2
Y intercept=5
b) Slope = 0.5
Passes through (0,1)
Find the median of the data.
The number of girls per classroom.
11, 3, 1, 12, 5, 3, 2
Median: [?] girls
oto
Answer:
3
Step-by-step explanation:
To find the median, first we have to put the data in ascending order:
1, 2, 3, 3, 5, 11, 12
The median is the middle number. In this case, that is 3.
The median of the data "The number of girls per classroom" which has values as 11, 3, 1, 12, 5, 3, 2 is 3.
To find the median of the given data, we first need to arrange the numbers in ascending order:
1, 2, 3, 3, 5, 11, 12
The median is the middle value when the data is arranged in ascending order. In this case, since the total number of data points is odd (7 data points), there is one middle value. The median is the fourth value in the ordered list, which is 3.
The median is a measure of central tendency that represents the middle value in a dataset. It is often used to describe the typical or central value of a set of data and is particularly useful when dealing with skewed distributions or outliers.
In this case, the median of 3 tells us that, when sorted in ascending order, the middle value of the number of girls per classroom is 3, which gives us an indication of the central tendency of the data.
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PLEASE HELP Assume the line of best fit for a data set is given by y = 32x+ 25. What data
points are predicted by the line of best fit? Check all that apply.
A. (9,326)
B. (10,345)
C. (7,224)
D. (6,217)
Answer:
B
Step-by-step explanation:
the answer is B
If you substitute 10 in the equation
32(9)+25=345
Answer:
B and D
Step-by-step explanation:
Substitute the values in y = 32x+ 25
A. 9, 326
326=32(9)+25
326 don't equal to 315
A is not
B. 10, 345
345=32(10)+25
345=345
B is a point on the line of best fit.
C. (7,224)
244= 32(7)+ 25
244 don't equal to 249
D. (6,217)
217= 32(6)+ 25
217=217
D is a point on the line of best fit.
Brainliest please
‼️‼️‼️‼️HELPPPP ILLL MAEK YOU BRAINLEST ‼️
a car loan is $2,500 with an interest rate of 8.5% for three years. what is the interest on the car loan?
a)$63,750
b)$212.50
c)$637.50
d)$6,375.00
Answer:
c) $637.50
Step-by-step explanation:
Formula: I= PRT
2500×8.5%×3 = 637.5
A
-2
1
B.
1
-1
The midpoint of AB = ([?],[ ])
Answer:
midpoint of AB = (-1/2 , 0)
Step-by-step explanation:
A(-2 , 1) = (x1 , y1)
B(1 , -1) = (x2 , y2)
midpoint formula:
=(x1 + x2/2 , y1 + y2/2)
=(-2 + 1/2 , 1 + (-1)/2)
=(-1/2 , 0/2)
(-1/2 , 0)
Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }
Answer:
16 elements
0 elements
Step-by-step explanation:
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }
Let sets A , B , and C be subsets of U , where:
A = { 2 , 3 , 5 , 6 , 7 }
B = { 1 , 3 , 9 , 10 , 11 , 14 }
C = { 5 , 9 , 12 , 13 , 15 }
(A U B U C) = elements in either A, or B or C
(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}
(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.
Number of elements = 13
(A n B n C) = elements occurring in both A, B and C
(A n B n C) = {} = empty set
(A n B n C) n (A n B n C) = {} = 0
Find the circumference of a circle whose area is 60 pi cm 2 /. A2 square root15 pi cm B.4 C.30 D.900 Please select the best answer from the choices provided A B C D
Answer:
i think its 48.66cm
Step-by-step explanation:
What is the scale factor of Triangle XYZ to Triangle UVW? A.10 B.5 C.1/5 D. 1/10
This da last question for
A
P
E
X
Please help!!
Answer:
1/10
Step-by-step explanation:
Take the side length of figure B and divide by the same side of figure A
This is the number we need to multiply Figure A by to get to Figure B
6/60 = 1/10
We need to multiply figure XYZ by 1/10 to get to UVW
Simplify the radical expression
sqrt 147
A. 7 SQRT 3
B. 3 SQRT 7
C. -7 SQRT 3
D. 21
----------------------------------------------------------
(SAME THING)
Simplify the radical expression
sqrt 3 + 4 sqrt 3
Answer:
how can someone solve dis?
Step-by-step explanation:
Answer:
D :3a ^ 4 * sqrt(2a)
Step-by-step explanation:
help please and thank u
Answer and Step-by-step explanation:
The inverse of a function would be the opposite of all of the values. This means that all positive values would turn negative, and all negative values would turn positive, with the exception of 0 as 0 is neither positive nor negative.
So, answer choice A. is the correct choice.
#teamtrees #PAW (Plant And Water)
bro renardtnt1 why did you delete my answer, it was literally correct.. ???
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.
(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.
(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.
(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.
Use the above illustration to answer your question.
Answer:
C: Both distributions are skewed right.
Step-by-step explanation:
Put these numbers in order from greatest to least.
0.24,0.73,1/4, and 3/4
Answer:
3/4, 0.73, 1/4, 0.24
Step-by-step explanation:
1/4=25/100=0.25
3/4=75/100=0.75
$125 to the markup rate of 80% what is the final price?
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225
find the circumcenter of the triangle formed by the vertices (2,2),(6,6) and (5,7)
Answer:
5.8333-1.8333 I think
Step-by-step explanation:
hope it helps
660 g of 3 kg
Express as percentage
please tell how the answer is 22%..
:(
Answer:
Percent * base = Amount
660 g = 660 g
3kg = 3000g
percent(3000) = 660
percent = 660/3000
percent = .22
.22 = 22%
Step-by-step explanation:
Which statement is false?
A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number.
Answer:
D.) The inequality sign always opens up to the smaller number
Hope This Helps :)
What will be the smallest and largest no that when rounded off to thousand their answer is
a) 785000
b) 4528000
What will be the smallest and largest no that when rounded off to hundreds the answer is
a) 23700
b) 429900
What will be the smallest and largest no that when rounded off to tens the answer is
a) 6450
b). 88890
Answer:
A,785000
B,429900
A,6450
Answer:
1a- 784500 & 785499
b- 4528499 & 4527500
2a- 23749 & 23650
b- 429949 & 429850
3a- 6445 & 6454
b- 88885 & 88894
The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected? A. The mean will shift to the right. B. The mean and the median will be the same. C. The median will shift to the right. D. The mean will shift to the left.
Answer:
D. The mean will shift to the left.
Step-by-step explanation:
Given that the price range of the car is between $5000 and $45000 ;
Hence, if the demand for cars that cost less than $5000 is in high demand, such that about 200 cars was sold ; This will lead to a shift in the mean price of car, $5000 towards the $5000 value. Since $5000 is to the left, then the mean price will shift to the left of the distribution.
1. Solve the quadratic by taking square roots.
3x2 - 7 = 140
Answer:
[tex]x=-7, \\x=7[/tex]
Step-by-step explanation:
Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].
Start by adding 7 to both sides:
[tex]3x^2=147[/tex]
Divide both sides by 3:
[tex]x^2=49[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt{49}=\pm 7[/tex]
Recall that [tex]7^2=(-7)^2=49[/tex].
Thus, we have:
[tex]x=-7, \\x=7[/tex]
explanation about Cardinal number Carolyn relation cardinals
Answer:
Cardinal Numbers
The cardinality of a group represents the number of objects available in that group.
The number of elements or members in a set is the cardinal number of that set. ...
For example, set A = {1, 3, 6, 9, 10, 12, 18}, the cardinal number of set A is 7.
Step-by-step explanation:
i don't no kung true hehe
What's More
Place Me baby!
1. Decide where each event would be located on the scale above. Place the each event on the appropriate place on the probability scale.
Event:
A. You will see a live dinosaur on the way home from school today.
B. A solid rock dropped in the water will sink.
C. A round disk with one side red and the other side yellow will land yek when flipped. D. A spinner with four equal parts numbered 1-4 will land on the 4 on the
E. Your full name will be drawn when a full name is selected randomly containing the full names of all of the students in your class.
F. A red cube will be drawn when a cube is selected from a bag that he cubes and five red cubes.
G. Tomorrow the temperature outside will be -250 degrees. I need your answer
Answer:
i can try this!
Step-by-step explanation:
first thing to remember.....
the probability of anything can never be zero!
A - would definitely be very low ...probably less than 1% but not zero
b - would be almost 100%...not quite 100 as we dont know how deep is the water
c - around 50% over a given period
d - 25% over time
e - count the number of people in your class then divide by 100 this is your percentage chance
f - 50% over time
g - somewhere very close to zero ...but not quite zero
Lori has 12 1/2 pounds of flour. She needs 1 3/4
pounds of flour
for each batch of cookies. How many batches can Lori make?
Rearrange the formula to make x the subject.
y = 4x + 3
Answer:
[tex]x=\frac{y-3}{4}[/tex]
Step-by-step explanation:
[tex]y=4x+3[/tex]
[tex]y-3=4x[/tex]
[tex]\frac{y-3}{4}=x[/tex]
[tex]x=\frac{y-3}{4}[/tex]
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
[tex]y = 4x + 3 \\ y - 3 = 4x \\ \frac {y - 3}{4} = x [/tex]
⎆ The formula will be [tex]\hookrightarrow\boxed{\underline\frac {y - 3}{4}=x}[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ RainbowSalt2²2² ࿐
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?
Answer:
40
Step-by-step explanation:
Fiona: Pip
3 1
If fiona gets 30
30/3 = 10
Multiply each side by 10
Fiona: Pip
3*10 1*10
30 10
The total is 30 +10 = 40
f(x) = (x + 1)(x - 2)
PLEASE HELP ME PLEASE
Find the volume of the sphere.
r= 3 cm
Formulas for Spheres
S.A. = 4nr?
V = frr? V = [?] cm3
Round to the nearest tenth.
PLEASE HELP ME PLEASE
Step-by-step explanation:
113,1 cm^3
The volume of the sphere is V = 113.097 cm³
What is a Sphere?A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the radius of the sphere be r = 3 cm
Let the volume of the sphere be V
The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 3 cm into the formula, we get:
V = (4/3)π(3 cm)³
V = (4/3)π(27 cm³)
V = (4/3)(3.14159)(27 cm³)
V = 113.097 cm³
Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.
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Solve for X in the triangle. Round your answer to the nearest tenth
Answer:
x ≈ 10.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{14}[/tex] ( multiply both sides by 14 )
14 × cos42° = x , then
x ≈ 10.4 ( to the nearest tenth )
Which graph shows a dilation?
Answer:
A
Step-by-step explanation:
Dialation means to get smaller but it has to stay the same shape and measurements tho.
Which transformation reflects a figure across the y-axis
In a direct variation, y = 12 when x = 3. Write a direct variation equation
that shows the relationship between x and y.
O y = 12x
O y = 4x
O y = 3x
O y = 2x
helpppp
Answer:
fourth one
Step-by-step explanation: