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

fully simplify 124:72:48

Answers

Answer:

31:18:12

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

GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?

Answers

the answer is -1 just believe me

Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?

Answers

Answer: 3/6 or 1/2

Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.

Answer:

1/2 cups of strawberries is required.

Step-by-step explanation:

1 pie = 1/6 cups of strawberries

=> 3 pies = 1/6 x 3

=> 3 pies = 1/2 cups of strawberries.

Hoped this helped.

Can anyone help, im stuck

Answers

Answer:

The second one is right

Step-by-step explanation:

anyone help, im stuck

Answer:

The third one

Step-by-step explanation:

Since, 1 can be represented by x we can make an equation

2 can be represented y

and 4 can be represented by x

Since x + y = 180 and x + z = 180

y = z

Or 2 = 4

Brainliest please :)

There is a line that includes the point (-20, -7) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x+13

Step-by-step explanation:

we can plug in the two points into the slope-intercept formula

-7=-20(1)+b

solve for the right side

-7=-20+b

add 20 to both sides

13=b

plug the y intercept into the equation

y=1x+13

I NEED THIS ASAP!!

Compare -7 and 5. Which statement is not true?

O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.​

Answers

A. is true b. is true C. is false D. is true

A tank full of water is leaking at a constant rate for 30 minutes. The equation
y = -8x + 400
gives the amount of water in the tank, where y is the number of liters and x is
the number of minutes since the tank began to leak. Which statement is true?
A. There were 400 liters in the tank after 30 minutes, and it is
decreasing by 8 liters per minute.
B. There were 8 liters in the tank when the leak started, and it is
decreasing by 400 liters per minute.
C. There were 8 liters in the tank when the leak started, and it is
increasing by 400 liters per minute.
D. There were 400 liters in the tank when the leak started, and it is
decreasing by 8 liters per minute.

Answers

Answer:

A

Step-by-step explanation:

did the quiz

Answer:

D

Step-by-step explanation:

Question 1: Select the property shown
by the statement: 3a • 5b = 3.5 a.
b
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive

Answers

Answer:

E BC itsay 3a 5b = 3.5 so it E

Write an equation of the line that passes through (-6,0) and $(0,-24)

Answers

Answer:

-4

Step-by-step explanation:

Y2 = -24 and Y1 = 0

X2 = 0 and X1 = -6

Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4

y= -4x + c

y + 4x= c

Find the values of x and y.

Answers

Answer:

Y = 69

X = 42

Hope this helps!

Sin x= cos y show that x+y=90

Answers

Answer:

just do sinx and cos y equal when x=y= multiple of pie by 4

Step-by-step explanation:

pie by 4 plus pie by 4 = 90

If I helped please mark brainliest it means a lot to my progression! <3 Thanks!

Due in an hour help me
Please I have to pass

Answers

Answer:

A is answer

Step-by-step explanation:

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
used 8 cups of flour, how many cups of water did he use?
2 2/3
4
5 1/3
12

Thank u SOOOOOOOOOO much if u helped me

Answers

Answer:

he used 5 1/3 everything else is to low or high

What is Part 1 and Part 2? I think I have these correct.

Answers

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Follow the steps to finish solving the equation -3x +18 = 7x

1. Add 3x to both sides to isolate the variable term.

2. Divide both sides by 10.

x=

Answers

It’s probs 1.8 but it could also be 1.8

Answer:

18/10

Step-by-step explanation:

got it right.

Using substitution, which value of x makes this equation true?

3+x = 10

A. 13
B. 7
C. -7
D. -13

Answers

Answer:

The answer is B. 7

Step-by-step explanation:

3 + x = 10

3 + 7 = 10

B.

x=7.

Step by step:

x+3=10.

x=7.

(I subtracted 3 on both sides)

Hope this helped!! :)

Suppose that you invest $15,000 into a high yield savings account that earns 2.1\% annual interest and is compounded monthly. If you do not deposit or withdraw any money from the account, how much money will be in the account after 8 years? Show your equation. Round your answer to the nearest cent. (5 Points )

Answers

Answer:

$17741.44

Step-by-step explanation:

Given:

Investment P = 15000Interest rate r = 2.1% PA or 0.021 PACompound number n = 12 PATime t = 8 years

Find the total amount:

A = P(1 + r/n)^(rn)A = 15000(1 + 0.021/12)^(8*12) = 17741.44

2h(3m-4h)please help me

Answers

Answer:

6hm-8h^2

Step-by-step explanation:

2h(3m-4h)

2h*3m=6hm

2h*4h=8h^2

=6hm-8h^2

2——————————————————————-

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Answers

Answer:

-5

Step-by-step explanation:

what does it mean to use quotient powers?

Answers

When you are dividing like terms with exponents

When we use the concept of power and a denominator in it, we will describe the root in another form.

What is the definition of potency?

Potency is that which has power, strength, vigor and importance. In mathematics, power is the result of a number multiplied by itself one or more times. .

The base equation of the power is:

[tex]a^b = c[/tex]

Where:

a = base; b = exponent; c = power.

So from the definition of power we have that when a division in the power occurs we will have to be the same thing as writing a root.

See more about power at brainly.com/question/1618040

Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)

Answers

Answer:

ion

Step-by-step explanation:srry

Please help! 20 points! Will give brainliest!

Answers

Answer:

2 and 4 are correct

Step-by-step explanation:

Hope this helps!❄︎

How to find displacement from velocity.

Answers

Answer:

The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.

Simplify this expression 3(2h + 5)

Answers

6h+15
Explaination: cause I’m a genius
The answer is 6h + 15

Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15

10. What percent of 25 is 10? (1 point)
O10=r. 25: 40%
O 10=r. 25: 250%
025=x: 10; 40
025=r. 10; 250%

Answers

Answer:

40%

Step-by-step explanation:

To change a fraction into a percentage, multiply by 100% , then

[tex]\frac{10}{25}[/tex]

= [tex]\frac{10}{25}[/tex]  × 100%

= 0.4 × 100%

= 40%

WILL GIVE BRAINLIEST!

Answers

Answer:

1 1/3

Step-by-step explanation:

it's bc the number is closer to one and not in the middle. have a great day

Answer:

The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.

:)

What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!

Answers

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

HELP ANSWER ASAP
ANSWER???

Answers

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

Proportional ur welcome :)

1238 round to the nearest 1000

Answers

Answer:

1,238.000

Step-by-step explanation:

Can you help me please?​

Answers

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

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