the mean of five numbers is 8. when another number is added the mean is 7. find the number added

Answers

Answer 1

Answer:

[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]

When another number is added the mean is 7, let s note x the another number we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]

From the first equation we can say

[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]

So the second equation becomes

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]

The solution is then 2

Hope this helps


Related Questions

Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.

Answers

The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.

It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.

Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:

= 32 + 115 + 33

= 180°

Read related link on:

https://brainly.com/question/16942878

Answer:

Step-by-step explanation:

It's B

Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?

Answers

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

Solve for the width in the formula for the area of a rectangle.

Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.

Answers

Answer:

2.5

Step-by-step explanation:

42/16.8=2.5

Answer:

w=A/I

2.5in

Step-by-step explanation:

This is the full answer

que son los angulos adyacentes

Answers

Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Step-by-step explanation:

what point lies on y-2=5(x-6)

Answers

Answer: (0, -28)

Step-by-step explanation:

Turn this equation into slope-intercept form.

y-2=5x-30

y=5x-28.

Because the y-intercept is -28, the point (0,-28) must be on the line.

Hope it helps <3

between which to whole numbers does the square root of 119 lie?

Answers

Answer:

10 and 11

Step-by-step explanation:

[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]

The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

Answer:

Between 10 and 11

Step-by-step explanation:

10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.

If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?

Answers

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

I am really struggling with this question. please help.

Answers

I believe the answer is B

can someone help me answer this

Answers

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

Please help me, tysm if you do

Answers

Answer:

No solution

Step-by-step explanation:

7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )

Distribute 7 through the parentheses

7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)

Distribute -9 though the parantheses

7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)

Distribute 3 through the parantheses

7r - 14 - 9r + 9 = 15 - 3r + r - 8

When there is (+) in front of an expression in parentheses, the expression remains the same

7r - 14 - 9r + 9 = 15 - 3r + r - 8

Collect like terms

7r - 9r - 14 + 9 = 15 - 3r + r - 8

-2r - 14 + 9 = 15 - 3r + r - 8

Calculate

-2r- 5 = 15 - 3r + r - 8

Subtract the number

-2r - 5 = 7 - 3r + r

Collect like terms

-2r - 5 = 7 - 2r

Cancel equal terms on both sides of the equation

- 5 = 7

The statement is False for any value of X.

Hence, there is no solution.

Hope this helps...

Good luck on your assignment...

PLEASE HELP!!
Find the volume of the sphere rounded to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

The volume for a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so

[tex]V=\frac{4}{3}\pi (21)^3[/tex] and

[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:

[tex]V=\frac{116318.16}{3}[/tex] and divide to get that

V = 38772.72 in^3

HURRY PLEASE!!!!

in circle O, line SU is a diameter. what is the measure of arc ST?
100°
108°
130°
160°

Answers

Answer:

130

Step-by-step explanation:

Which expression is equivalent to
(4^5/4.4^1/4/4^1/2

Answers

Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?

HELP



IMA GIVE BRAINLIEST

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

there are 8 numbers

we want one of them (number 4)

which is 1 in 8

that is:

[tex] \frac{1}{8} [/tex]

Please answer this question now

Answers

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent, it is a right angle

VWX is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2

6^2 + 8^2 = VX ^2

36+64 = VX ^2

100 = VX ^2

Take the square root of each side

sqrt(100) = sqrt(  VX ^2)

10 = VX

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent to the circle V, by definition, WX ⊥ WV.

So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, we have a = WV = 6 and b = WX = 8, so:

a² + b² = c²

6² + 8² = 36 + 64 = 100

c² = 100

c = √100 = 10

Therefore, VX = 10 cm.

~ an aesthetics lover

The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10

Answers

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

write the unit digit of denominator of (x+y)*z where x = -4/3 y =1/2 z= -7/5 plz help

Answers

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

SOMEONE HELP!! I will mark you as brainlist!!!

Answers

Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

Soccer team has 10 players in a tournament there are seven teams and two players on each team drop out how many are there left

Answers

Answer:

1 team = 10 players

7 teams = 7×10 players

= 70 players

drop out players:

1 team = 2 players

7 teams = 2×7

= 14 players

how many left ?

= total players - drop out players

= 70 - 14

= 56 players

15. An electric can opener is worth 38 dollars when it is new. After each year it is worth half what it was the
previous year. What will its worth be after 4 years? Round your answer to the nearest cent.
$4.19
$4.75
b. $1.19
d. $2.38
a.
c.

Answers

Answer: d. $2.38

Step-by-step explanation:

Exponential decay function: [tex]Ab^x[/tex], where A = initial value

x= Time mperiod

b = multiplicative decay rate

As per given, we have

A = 38 dollars

b= 0.5

Amount after x years : [tex]38(0.5)^x[/tex]

Then, at x= 4

Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]

[tex]=2.375\approx2.38[/tex]

Hence, the worth of electric can opener after 4 years = $2.38.

So, correct option is d. $2.38

Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30

Answers

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

V2 is in between what two numbers??

Answers

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Highlands
Analyze the dot plots. What is the approximate
difference between the means of the two data sets to
the nearest whole number?
mm
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)

Answers

Answer:

3 mm

Step-by-step explanation:

Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?

Answers

Answer: 83.6

Step-by-step explanation:

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

Hope it helps <3

P.S. brainliest brains?

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:

Part A: Describe the shape of each data set.

Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.

Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.

Answers

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

The price of a holiday was increased by 11% to £870. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

£783.78

Step-by-step explanation:

Let the price before be x

Then the price after is:

x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest penny

Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.

Answers

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

help!!!

evaluate 0.2m + 6 - 4n when m=20 and n= 1/2

Answers

Answer:

Step-by-step explanation:

0.2(20)+6-4(1/2)=4+6-2=8

Answer:

0.2(20)+6-4(112)=4+6-2=8

The Slope of a Line
(8,2) and (5,11)
Calculate the slope of the line
that contains the given points.

Answers

Answer:

m = -3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

?/? of 24 = 16 (answer in fraction)

Answers

Answer:

[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]

Step-by-step explanation:

hello

24 = 8*3

16 = 8*2

so

[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]

so the answer is 2/3

hope this helps

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