1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna [14]
2 years ago
14

Five whole numbers are written in order.

Mathematics
2 answers:
arsen [322]2 years ago
5 0

Answer:

  • x = 7, y = 8

Step-by-step explanation:

<u>Given numbers in order:</u>

  • 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).

<u>The mean is:</u>

  • (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.

<u>Let's verify:</u>

  • Median = x = 7
  • Mean = 4 + (7 + 8)/5 = 4 + 3 = 7
bija089 [108]2 years ago
3 0
  • 4,6,x,y,10

Mean:-

\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}

\\ \sf\longmapsto \dfrac{x+y+20}{5}

Median:-

  • n=5
  • M(D)=n+1/2=5+1/2=3rd term

\\ \sf\longmapsto M(D)=x

Compare

\\ \sf\longmapsto \dfrac{x+y+20}{5}=x

\\ \sf\longmapsto x+y+20=5x

\\ \sf\longmapsto 4x=y+20

\\ \sf\longmapsto x=y/4+5

\\ \sf\longmapsto x

Take pair of (7,8)

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

Verified

Hence

  • x=7
  • y=8

You might be interested in
5+b=25 there were boxes that had this<br> =<br> + =25<br> =
balandron [24]
The answer for 5+b=25 isb=20
4 0
3 years ago
Read 2 more answers
Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2
9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5}k\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5}k=1.6

\implies -\dfrac{3}{5}k=1.3

\implies k=-\dfrac{13}{6}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5}k)=1.6

\implies -0.3+\dfrac{3}{5}k=1.6

\implies \dfrac{3}{5}k=1.9

\implies k=\dfrac{19}{6}

<h3><u>Option 2</u></h3>

\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5k}\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5k}=1.6

\implies -\dfrac{3}{5k}=1.3

\implies -3=6.5k

\implies k=-\dfrac{6}{13}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5k})=1.6

\implies -0.3+\dfrac{3}{5k}=1.6

\implies \dfrac{3}{5k}=1.9

\implies 3=9.5k

\implies k=\dfrac{6}{19}

6 0
1 year ago
How many degrees does a minute hand of a clock turn through from 6:20 am to8:00 am on the same day ? A. 680 degrees B. 600 degre
Phoenix [80]

Answer:

B 600

Step-by-step explanation:

A clock is a circle with 12 equal sectors. A circle has 360 degrees so every time a minute hand number goes to another number it changes 30 degrees. After a full hour the time is 7 20 and it changes 360 degrees since the minute hand change over time was 12. 30x12=360.

Then it from 7 :20 and 8 00 the change 8 so is 30×8=240

360+240=600

3 0
3 years ago
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,
Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle  so, it will follow the Pythagoras theorem:

hypotenuse^2=side^2+side^2    (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

x^2=3^2+4^2

x^2=9+25

\Rightarrow x=5

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

3 0
3 years ago
Read 2 more answers
How is number 0.000063 written in scientific notation?
katen-ka-za [31]

Step-by-step explanation:

The scientific notation:

a\times10^k

<em>1 ≤ a < 10</em> and <em>k -</em><em> any integer number</em>

<em />

0.000063=0\underbrace{.00006}_{5\to}3=6.3\times10^{-5}\\\\\\0.000063=6.3:100,000=6.3:10^5=6.3\times10^{-5}

5 0
3 years ago
Other questions:
  • jenn will use 18 connecting cubes to make a model of a park. The model will be in the shape of a rectangle and will have  height
    6·1 answer
  • Can someone help me solve a math problem
    10·1 answer
  • -10 is less then or more then -2
    11·2 answers
  • If $1000 is invested for one year at 14% simple interest, how much interest is earned
    7·1 answer
  • A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find th
    5·2 answers
  • At time t=0 hours a tank contains 3000 litres of water .
    15·2 answers
  • A- 15 √11<br> B- 30 √22<br> C- 30 √11<br> D- 15 √22
    12·2 answers
  • Please help quick! This is due tomorrow for class and I really need help! Thank you.
    9·1 answer
  • Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total
    6·1 answer
  • I NEED ANSWER ASAP. BRAINLIEST​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!