Two datasets arranged in descending 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
?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

A data arranged in descending order is a data arranged from the biggest to the smallest. The medisn of the data sets is the value at the middle of the dataset after rearrangment.

For the dataset {8, x, 4,1}, the median will be x and 4. Since we have two median values, we will take their average as shown

Median(1) = [tex]\frac{x+4}{2}[/tex]... 1

Simialrly for dataset {9, y, 5,2}, the median will be y and 5.

Median(2) = [tex]\frac{y+5}{2}[/tex] ...2

Since the medians of  the two given datasets are equal, we will equate equation 1 and 2 and calculate for y-x as shown;

[tex]\frac{x+4}{2} = \frac{y+5}{2}[/tex]

[tex]x+4 = y+5\\x-y = 5-4\\x-y = 1\\y-x = -1[/tex]

Therefore y-x = -1

(y-x)² = (-1)²

= 1


Related Questions

What is 4 divided by 36

Answers

Answer:

1/9

Step-by-step explanation:

4/36

2/18

1/9

Answer:

0.1 going on forever

Step-by-step explanation:

Solve by the method of your choice 6x-2y= 16, 5x+y=24

Answers

6x-2y=16
(5x+y=24)*2
__________

6x-2y=16
10+2y=48 Add the equations”+”
—-
16x=64
X=4
So y=1

Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )

A. associate property of addition
B. Commutative property of addition
C. Distributive property
D. Identity property of addition

Answers

Answer:

A. associative property of addition

Step-by-step explanation:

Associative because you can add or multiply those regardless of how the numbers are grouped.

I hope this helped and have a good rest of your day!

Answer:

Associative Property of Addition

Step-by-step explanation:

This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.

Hope this helped. Have an awesome day!

tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.

what is the multiplier

what is the daily percent rate?

using the cost of a ticket today as your initial value write an exponential equation that models this situation

what will be the cost of a pair of concert tickets in one week from today

what was the cost of a pair of tickets three days ago?

Answers

Answer:

multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85

Step-by-step explanation:

a) The daily multiplier is 108/96 = 1.125

b) The daily percentage change is 1.125 -1 = .125 = 12.5%

c) The function can be written as ...

  price = (initial value)·(daily multiplier)^t

  p = 108·1.125^t

d) for t=7, put the number in and do the arithmetic.

  108·1.125^7 ≈ 246.32 . . . dollar cost in a week

e) same deal, for t=-3

  108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago

40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?

Answers

Answer:

5/1

Step-by-step explanation:

40/27

20/9

10/3

5/1

divided by 2 and 3 each other!

A rhombus has side lengths of 25. What could be the lengths of the diagonals?

A. 22 and 40
B. 26 and 36
C. 26 and 48
D. 30 and 40

Answers

Answer:

The correct option is;

D. 30 and 40

Step-by-step explanation:

Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be

2 × 25×sinθ  and 2 × 25× cosθ

Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)

Therefore, the root of the sum squares of both diagonals = 50

Therefore, we analyze each of the options as follows

For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46

Answers

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

The table gives a few( x,y)pairs of a line in the coordinate plane x,y 24 -8 36 1 48 10 what is the y -intercept of the line

Answers

Answer:

-26

Step-by-step explanation:

One way to answer this question is to look at what's happening to the values of x and y.

x         y

24     -8

36       1

48      10

Go down the list of x values: they are increasing by 12 at each step

Go down the list of y values: they are increasing by 9 at each step.

The y-intercept of the line is the value of y when x = 0.

Think about reversing the steps (decrease x by 12 and decrease y by 10):

x         y

48     10

36       1

24      -8

12      -17

0      -26 <-----  the y intercept is -26.

Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)

Find the arc length of the partial circle. with a radius of 1

Answers

Answer:

1/2π

Step-by-step explanation:

For khan, you HAVE to put the pi symbol. just type pi and itll work

Answer:

1/2 pi (Sorry i don't have the pi symbol)

Step-by-step explanation:

.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. A typical Saturday morning shopper who does not participate in this program spends $120 on her or his order. In a sample of 80 shoppers participating in the loyalty program, each shopper spent $130 on average during a recent Saturday, with standard deviation $40. Is this statistical proof that the shoppers participating in the loyalty program spent more on average than typical shoppers?a.State the null and the alternative hypotheses.b.Find the p-value of the test.

Answers

Answer:

a) Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

Step-by-step explanation:

Information given

[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper

[tex]s=40[/tex] represent the sample standard deviation

[tex]n=80[/tex] sample size  

[tex]\mu_o =120[/tex] represent the value to verify

t would represent the statistic    

[tex]p_v[/tex] represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

The statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

1a. Find the set of possible and actual zeros according to the rational root theorem using f(x)=3x^3+13x^2+16x+4

1b. Zeros Multiplicity Cross/Turn
|____|_________|_________|
|____|_________|_________|
c. End Behavior:
d. Y-int:
e. Graph.

2. Divide using synthetic Division: x^4-6x^2-2/x-2

3. Diving Using Long Division: 3x^3+5x^2+4x+1/3x+2

4. Using synthetic division and the remainder theorem to find P(c) if P(x)=4x^3+6x^2+4x+3 and c=-1

5. Use synthetic division and the given factor to completely factor each polynomial function and find the zeros: y=x^3+6x^2+3x-10;(x-1)
Factored Form:
Zeros:

Answers

Answer:.....

Step-by-step explanation:

......

What is the value of –112.84 – 54.14 – (–29.18)?
A) –137.8
B)–29.52
C)87.88
D)196.16

Answers

Answer:A

Step-by-step explanation:

-112.84-54.14-(-29.18)

-112.84-54.14+29.18=-137.8

Answer:

Option A is correct.

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10

Answers

Answer:

its 7/10

Step-by-step explanation:

The probability of randomly selecting an item with white or red on it is 3/10.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.

The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.

The probability of randomly selecting an item with white or red on it is given by;

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]

Total items =  2 + 1 + 3 + 2 + 1 + 1 = 10 itens.

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]

Hence, the probability of randomly selecting an item with white or red on it is 3/10.

Learn more about probability here;

https://brainly.com/question/20849420

#SPJ2

What is the area of the kite? 20 36 40 80

Answers

Answer:

44

Step-by-step explanation:

20+36+40+80= 176

176/4= 44

Which expression can be used to find the area of the rectangle shown on the coordinate plane 6×7 7×7 8×7 8×8

Answers

Answer:that’s a lot of numbers.            

Step-by-step explanation:

Is 56 inches less than 5 feet? PLEASE THIS IS AN EMERGENCY! 40 POINTS IF YOU ANSWER! :D

Answers

Answer:

5ft. = 60 in. so yes, 5 feet is more than 56 inches

Step-by-step explanation:

1 ft. = 12 in. , so 5ft. = 60 in.

Answer:

Yes! 56 inches is less than 5 feet

Step-by-step explanation:

5 feet is 60 inches, so 56 inches is less than 60 inches

HOPE THIS HELPS !

PLEASE GIVE BRAINIEST

T=2π√g/L, where g=18, L=2, π=3.14

Answers

Answer:18.84

Step-by-step explanation:

T=2π√(g/L) g=18 L=2 π=3.14

T=2 x 3.14 x √(18/2)

T=6.28 x √(9)

T=6.28 x 3

T=18.84

1. 10(.15)=1.5
2. 10-1.5=8.5
3. 8.5 (.15)=1.275
4. 8.5-1.275=7.225
Keep going until you get number 5 and below 1
!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE MAN!

Answers

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)   6.14125(0.15) = 0.9211875   (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

help tahhtthshhhrdegragrsgrgr

Answers

Answer:

SA = 18.2 +12.2hSA = 67 yd²

Step-by-step explanation:

The surface area of a rectangular prism is the sum of the areas of the six rectangular faces. Of course, opposite faces have the same area, so the formula can be written ...

  SA = 2(LW +LH +WH) = 2(LW +H(L +W))

For your given values, this can be simplified to ...

  SA = 2(2.6·3.5 +h(2.6 +3.5)) = 2(9.1 +6.1h)

  SA = 18.2 +12.2h

__

For h=4, the surface area is ...

  SA = 18.2 +12.2·4 = 18.2 +48.8

  SA = 67 . . . yd²

Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth if necessary.

Answers

Answer:

6.2%

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. The probability of a toss resulting in heads is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]

Lorelei tosses a coin 4 times.

This means that [tex]n = 4[/tex].

What is the probability of tossing four heads?

This is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.062[/tex]

0.062 = 6.2% probability of tossing four heads

....................

Answers

Answer:

I would love to help you but all I see is dots

Fernando factored 45y^6 as (9y^3)(5y^3).

Salma factored 45y as (3y)(15y^5).

Which of them factored 45y^6 correctly?

Answers

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

factor the polynomial-x^3-4x^2-5x

Answers

Answer:

(-x)(x^2 + 4x + 5)

Step-by-step explanation:

You have to factor out the -x from the rest of the expression.

On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.

y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6
The answer is 1, 3, and 4 (i guessed and got it right)

Answers

Answer:

A C D

Step-by-step explanation:

Answer: 1, 3, and 4

Step-by-step explanation:

Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?

Help with steps if u love ur mama

Answers

Answer:

6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.

Step-by-step explanation:

1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.

[tex]48 \div 8 = 6[/tex]

Given the following graph...
A. Evaluate f(4)
B. Solve for f(x)=1

Answers

Answer:

f(4) = -3x=-6 or x=0 for f(x)=1

Step-by-step explanation:

A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...

  f(4) = -3

__

B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.

 f(x) = 1  for  x = -6 and x = 0

??????????????????????

Answers

Answer:

The answer you put is correct.

Step-by-step explanation:

It is B.

Answer:

[tex]882\pi[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!

Help! Best/Correct answer = Brainiest.

Answers

Answer:

Step-by-step explanation:

looking at the graph,

when x = 3, y = -10

-10 = 2(3)^2 + 3b + 8

-10 = 18 + 3b + 8

-10 = 26 + 3b

3b = -36

b = -36/3

b = -12

profit 75% retail $350. what is cost at wholesale

Answers

Answer:

Step-by-step explanation:

350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\

The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is 5 units long. What is the area of ΔDEF?

Answers

Answer:

  4 square units

Step-by-step explanation:

If corresponding sides have equal lengths, the triangles are congruent by the SSS postulate. They must have equal areas: 4 square units.

ΔDEF has an area of 4 square units.

Answer:

if the corresponding sides are equal the 2 triangles are congruent  ( by SSS) so their areas are the same.

So area of triangle DEF = 4 sq units

Step-by-step explanation:

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