The question is missing. The complete question is:
Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of
(y-x)² ?
Answer: (y-x)² = 1
Step-by-step explanation: Median is the middle term of a data set.
In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.
1) To facilitate, arrange it in ascending order:
(1,4,x,8) and (2,5,y,9)
Median of the first:
[tex]\frac{4+x}{2}[/tex]
Median of the second:
[tex]\frac{5+y}{2}[/tex]
As medians are the same:
[tex]\frac{4+x}{2}[/tex] = [tex]\frac{5+y}{2}[/tex]
4+x = 5+y
x - y = 5 - 4
x - y = 1
The question asks for (y-x)², so
y - x = -1
(y-x)² = (-1)²
(y-x)² = 1
Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?
Answer:
4 out of 14
Step-by-step explanation:
there is only 4 door bells and 14 bells in total
1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3
Answer:
sorry dont know
Step-by-step explanation:
good luck tho
\
f(x) = 0.5x-1.5x+1
4x<-1
-1 ≤ x ≤ 3
x < 3
x2 +8x+16=0 in factoring algorithm
Answer:
(x+4)^2 =0
Step-by-step explanation:
x2 +8x+16=0
What 2 numbers multiply to 16 and add to 8
4*4 = 16
4+4 =8
(x+4) (x+4) =0
(x+4)^2 =0
Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.
Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.
If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.
6 inches
12 inches
18 inches
24 inches
Answer:
12 inches
Step-by-step explanation:
I just took the unit test review on edge
Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.
Given the following data:
Arc length = 9π inches.Central angle = 3π/4 radians.How to calculate the length of the arc?Mathematically, the length of an arc formed by a circle is calculated by using this formula:
Arc length = rθ
Where:
r is the radius of a circle.is the angle measured in radians.Substituting the given parameters into the formula, we have:
9π = r × 3π/4
36π = 3πr
36 = 3r
r = 36/3
Radius, r = 12 inches.
Read more on arc length here: https://brainly.com/question/20594692
#SPJ2
what is x if x/5 =-9
Answer:
x = -45
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:
(x/5) * 5 = (-9) * 5
x = -9 * 5
x = -45
x = -45 is your answer.
~
Steps to solve:
x/5 = -9
~Multiply 5 to both sides
x/5 * 5 = -9 * 5
~Simplify
x = -45
Best of Luck!
What is the solution of this equation?
-1y = -4
Answer:
y = 4
Step-by-step explanation:
-1y = -4
Divide both sides by -1 to get y by itself.
-1/-1 = -4/-1
y = 4
It's positive because there are two negatives, which mean they cancel out.
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
Factor the expression:
16y-8
Answer: 8 (2y-1)
Step-by-step explanation: first start by writing like this below:
16y-8
Then factorise the numbers(cut the numbers)
2×2×2×2×y - 2×2×2
Now take all which is common like:
2×2×2=8
Then,take the remained numbers and add it into the brackets.
8 (2y - 1) Here, why we should put 1,because there's nothing left.
If you want to check the answer, factorise this expression and see:
8 (2y-1)
16y-8.
Hope it helps you!!
The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.
Answer:
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9
in slope intercept form y = mx + b, b is the y-intercept
since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units
---
Hope this helps! :) If so, please mark my answer as brainliest
Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.
Given,[tex]f(x)=x^{2}[/tex].
[tex]g(x) = f(x) - 9.[/tex]
From the above functions it is clear that the equation for the graph of g(x) will be,
[tex]g(x)=x^{2} -9[/tex].
What is intercept?The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
Since The y intercept of function f(x) is zero.
Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.
For more details on y-intercept follow the link:
https://brainly.com/question/329422
Ethan is responsible to write the minutes for the meeting. During the meeting, he finished writing of the minutes. Before getting off work, he finished another of the minutes. How much of the minutes does Ethan still need to work on?
Factor the expression below.
16x2 - 1
Answer:
(4x+1)(4x-1)
Step-by-step explanation:
someone help? 25 points
Answer:
A- isosceles
B- equilateral
C- scalene
Answer:
Triangle A
Isosceles
Triangle B
Equilateral
Triangle C
Scalene
Hope this helped
More than one quarter of The Netherlands lies below sea level. Lucas visits a museum located at an elevation of 7 m and bicycles to the neighborhood of Purmerend which has an elevation of -16 m. Which integer represents his change in elevation for the trip.
0 m
-23 m
-9 m
9 m
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?
Answer:
Step-by-step explanation:
d = diameter = 12ft
r = d/2 = 12/2 = 6ft
Slant height = 13ft
Surface area of cone = π r 2 + π L r
Where L is the slant height of the cone π = 22/7
SA = 22/7×6×6+22/7×13×6
SA = 113.14+245.142
SA = 358.28ft^2
If one bundle of shingle covers 32 ft.²
Hence,358.28ft^2 = 358.28ft^2/32 ft.²
= 11.196
= 11.2 bundles
In a tiny house, an empty hot water heater requires 40 gallons of water. It takes 18 minutes to fill the hot water heater. Assuming a constant rate of flow, find the rate at which water flows into the tank. Express your answer to the nearest tenth of a gallon per minute.
ITS URGENT
When 8=8 is it infinite solutions, no solutions
Answer:
infinite
Step-by-step explanation:
no solution would be something like 8=4 because it is not true
Answer:
Infinite solutions
Step-by-step explanation:
Kyle had 1/3 of a large pizza left. He wants to split it with his
best friend.
How much pizza will each get?
How many non-congruent triangles can you draw with the given properties? a. Sides measuring 7 inches, 8 inches, and 16 inches b. Sides measuring 4 inches, 4 inches, and 6 inches c. Angles measuring 30°, 60°, and 90° d. Three angles measuring 120° e. Two angles measuring 45° and one side length measuring 10 inches
Answer:
The answers are;
a. None
b. None
c. Infinite
d. None
e. None
Step-by-step explanation:
The number of non congruent triangles that can be drawn depends on the uniqueness of the triangle
The parameters of a unique triangle are;
Knowing the Side Side Side (SSS)
Knowing the Side Angle Side (SAS)
Knowing the Angle Side Angle (ASA)
Knowing the Angle Angle Side (AAS)
However, knowing only the Side Side Angle it is possible to draw two non-congruent triangles
Therefore, considering each of the triangles gives;
a. Sides 7 inches, 8 in., and 16 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided properties
b. Similarly, the given triangle parameters are 4 in., 4 in., and 6 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided information
c. The parameters of the triangle given here are angles 30°, 60°, and 90° which is of the form Angle Angle Angle, or AAA for which the sides can be scaled to form an infinite number of non-congruent triangles
d. The parameters given are three angles measuring 120° which does not form a triangle as the sum of triangles in a triangle = 180°
Hence the number of non-congruent triangles that can be drawn in this case = 0
e. The parameters given are two angles measuring 45° and one side length of 10 in., hence the parameter is of the forms AAS or ASA hence the triangle is unique and it is not possible to draw two non-congruent triangle with the provided properties.
What’s the simplified principal square root of -36
Answer:
6
Step-by-step explanation:
because 36 is a perfect square root.
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour. Is Caitie's estimate reasonable?
Answer:
No, she will earn 16.50/hr after the raise
Step-by-step explanation:
Catie's raise will be 15*0.10, which is $1.50
Caitie currently earns $15.00 an hour at her job, her boss is going to give her a 10% raise. she will earn 16.50/hr.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour.
10% of 15
= 15 × 0.10
= $1.50
The total amount will be = 15 + 1.50
= 16.50
Learn more about percentages;
https://brainly.com/question/13450942
How many fourths are in 2 1/2?
Answer:
There are 10 fourths.
Step-by-step explanation:
There are four 1/4ths in 1. So 2.5 x 4 = 10.
Answer:
2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)
Step-by step solution
What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.
x-intercept(s): (2.30581496,0)
y-intercept(s): None
what is the measure of x?
Answer:it might be 46 if right please mark as brainliest
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
90 + x = 134 (exterior angle)
=> x = 134 - 90 = 44
How can individual attitudes and lack of response to injustice harm society as a whole? (this was meant to be in history)
if butter the dog jumps two times and falls one time then how many times has he jumped?
Answer:1 or 3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2D+8=24
My question how do I solve for d
Answer:
2 x 8 = 16
2x8+8 = 24
Step-by-step explanation:
what is the answer of 24a-18b
Answer:
6(4a−3b)
Step-by-step explanation:
You have to factor out this expression, so i would recommend the UMBRELLA method.
Answer:
6(4a-3b)
Step-by-step explanation:
This is the answer because
find what number is divisible by both 24 and 18. The answer there is 6So then you write an equation that would equal 24a-18bTherefore since 24a is part one of the equation you would do what times 6 equals 24a. 6 times 4a=24aSo place four a in the parenthesis. Then find out what times 6 = -18bThe answer to that is -3b because a negative times a positive is always positive. So your final answer is 6(4a-3b)The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
The intensity in decibel is 320 decibelStep-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;
I is the intensity of a given sound and
[tex]Io[/tex] is the threshold of hearing intensity
To get I(dB) when [tex]I=10^{32} Io[/tex]
We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;
[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]
Since log10 = 1;
[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]
The intensity in decibel is 320 decibel
Answer:
Its D or 80
Step-by-step explanation:
I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.
