Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

Answers

Answer 1

Answer:

x = 7, y = 8

Step-by-step explanation:

Given numbers in order:

4, 6, x, y, 10

The mean is same as median.

The median is x as middle number. Since x is a whole number, the mean is also a whole number.

x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).

The mean is:

(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5

It should be a whole number, so (x + y) should be divisible by 5.

The option is (7 + 8) = 15, and 9 is excluded.

Let's verify:

Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7
Answer 2
4,6,x,y,10

Mean:-

[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]

Median:-

n=5M(D)=n+1/2=5+1/2=3rd term

[tex]\\ \sf\longmapsto M(D)=x[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]

[tex]\\ \sf\longmapsto x+y+20=5x[/tex]

[tex]\\ \sf\longmapsto 4x=y+20[/tex]

[tex]\\ \sf\longmapsto x=y/4+5[/tex]

[tex]\\ \sf\longmapsto x[/tex]

Take pair of (7,8)

[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]

Verified

Hence

x=7y=8


Related Questions

How do we determine the area of an a rectangle? ​

Answers

Answer:

accept length

accept breadth

Area=length *breadth

Answer

we multiply the length of a rectangle by the width of the rectangle.

a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week

Answers

Answer:

382.85

Step-by-step explanation:

hours. amount

8. 80.60

38. ??

=382.85


what is the measure of B 25 C 25 A 25

Answers

Answer:

C

Step-by-step explanation:

The 3 sides of the triangle are congruent.

The triangle is therefore equilateral with 3 congruent angles of 60° , so

∠ B = 60° → C

find the slope of the line that passes through the following points. (-2, 8) and (3, -2)​

Answers

Answer:

m=-2

Step-by-step explanation:

m=y2-y1/x2-x1

m=-2-8/3-(-2)

m=-2-8/3+2

m=-10/5

m=-2

Can someone teach me quadratics?

Answers

Answer:

yeah sure

Step-by-step explanation:

all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).

use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.

then you will find the y or k then make a table of values and put the vertex of the x and y that you found.

then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.

then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.

hope this helps

.−3(4x + 3) + 4(6x + 1) = 43
What is the answer?

Answers

Answer:

43

Step-by-step explanation:

DO the math

Round 21.897 to the nearest hundredth.

Answers

Answer:

21.900 - 21.9

Step-by-step explanation:

if your rounding it its 21.900 or 21.9

Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!

Answers

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

What does this problem equal? -2/3x-3-3

Answers

Answer:

-1

Step-by-step explanation:

-2/3*-3-3

2-3

= -1

-2/3x-3-3 equals -1 there you go

what is a 8096 rounded to 1 significant figure

Answers

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

answer is 8000
8 is the first non-zero digit leaving it the one used

Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=

(b) How high will the ball bounce on the 8th bounce?
h=

(c) How many bounces before the ball rises no higher than an inch?

Answers

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]

b. After 8 bounces we can apply the previous formula with n = 8 to get

[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.

[tex](\frac{17}{20})^n<\frac1{72}[/tex]  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

el desempeño 29 porfaaa

Answers

Step-by-step explanation:

1 more time solve and answer is ready


Make m the subject of the formula L = m + n

Answers

The ANSWER is m = n - L

75 is 15% of what number​

Answers

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

Susan made $117 for hours 9 of work.
At the same rate, how much would she make for 7 hours of work?

Answers

First we need to figure out how much Susan made per hour

117/9 = 13 dollars per hour

Then find out how much she makes in 7 hours

13 • 7 = 91 dollars

$91 in 7 hours

what is (997X5) + (6X-979) divided by 2 =?????

Answers

Answer: 2048 I just used a calculator

Step-by-step explanation:

Answer:

2048.

Step-by-step explanation:

(997X5) + (6X-979) /  2

= 4985 + -5874/ 2

The multiply is done before the add   ( Order of operations):

= 4985 + -2937

= 2048

Hey luvvs, can you help me out with this p.s if u do freind meeee

Answers

Answer:

[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]

Step-by-step explanation:

The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex]  is simply [tex]\frac{b}{a}[/tex].  The sign would not change for this reason.

Hope it helps :) and let me know if you want me to elaborate.

Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).

Answers

Please prefer the picture for your answer.We know, area of a ∆ = 1/2 × base × height.Here, base = ( 7 + 1) units = 8 units.Height = (7 - 1) units = 6 units.Therefore, the area of the ∆= (1/2 × 8 × 6) square units = 24 square units.

Answer:

The area of the triangle is 24 square units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Simplify x+2x –8+3x+1 –2x.

Answers

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

The simplified expression is 4x -7.

What is Expression?

A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.

An absolute numerical number is appertained to as a constant.Variable- A symbol without a set value is appertained to as a variable. Term: A term can be made up of a single constant, a single variable, or a blend of variables and constants multiplied or divided.Coefficient In an expression, a measure is a number that's multiplied by a variable.

Given:

Expression:  x+2x –8+3x+1 –2x

Now, simplifying the expression by taking like terms along.

x+2x –8+3x+1 –2x

= x+ 2x - 2x + 3x - 8 + 1

= x(1 + 2 - 2 + 3) -7

= x( 4) -7

= 4x -7

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Factorize: (x+4)2 - (x- -3)2​

Answers

Answer:

2

Step-by-step explanation:

it’s 2!! i hope you helped

-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=

Answers

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

PLEASE HELP! ;-;


A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?


Answer= [ ? ] hertz

Answers

The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)

Where:

[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.

The frequency ([tex]f[/tex]), in hertz is defined by this formula:

[tex]f = \frac{\omega}{2\pi}[/tex] (2)

By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):

[tex]f \approx 0.032\,hz[/tex]

The particle has a frequency of 0.032 hertz.

We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536

a teacher weighed 145 lbs in 1986 and weighed 187 lbs in 2007. what was the rate of change in weight from 1986 to 2007?

Answers

Answer:

The rate of change is: 2

Step-by-step explanation:

[tex]\frac{187-145}{2007-1986}[/tex] = 2

will mark brainlist if right no links
Four expressions are shown below

I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to


I and II, only
I and II, only

II and IV, only
II and IV, only

I, II, and IV
I, II, and IV

II, III, and IV

Answers

Answer:

1, 2, and 4

Step-by-step explanation:

distribution

What is a slope in math.

Answers

Answer:

A slope in math is basically rise/run on a coordinate plane. If you have the trend line given and a few values given on the 'x' coordinate and the 'y' coordinate, you can find the slope using rise/run.

Hoped this helped.

3a-28-7a+10a

Someone PLEASE HELP

Answers

Answer:

6a - 28

Step-by-step explanation:

combine like terms

3a - 28 - 7a + 10a

3a - 7a + 10a = 6a

have a lovely day :)

Answer:

Step-by-step explanation:

the steps are on the pic

symbolab

tiger-algebra

and

geteasysolution

aregoof for math

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue
marble?

Answers

Answer:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

       = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

      = 1 - 17 / 45

     = ( 45 - 17)/45

    = 28 / 45

Hope it helped :)

Step-by-step explanation:

Pls solve this, it’s math


And only if you know the answer pls

Answers

Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)

[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].

From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

Pls help this is due today and i have no idea

Answers

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

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