mean of four numbers a ,b, c, and d is 8 and mean of seven
numbers x , y ,z ,a, b, c and d is 12 . Find the mean of x, y and z.

Answers

Answer 1

Answer:

17 1/3 or 17.33

Step-by-step explanation:

Mean of four numbers a, b, c, and d is 8:

(a + b + c + d)/4 = 8  ⇒ a + b + c + d = 32

Mean of seven numbers x, y, z, a, b, c and d is 12:

(x + y + z + a + b + c + d)/7 = 12

Substitute the sum of 4 numbers:

x + y + z + 32 = 7*12x + y + z = 84 - 32x + y + z = 52

Mean of x, y and z is:

52/3 = 17 1/3 or 17.33

Related Questions

y - 4= -8 (x - 1)
linear or nonlinear?

Answers

The answer would be it ~linear~

Hope this helps

Have a great day/night!
It’s linear because it going at a constant rate

what's the area of a triangle, rectangle, parallelogram

Answers

Answer:

Triangle Area = ½ × b × h b = base h = vertical height

Rectangle Area = w × h w = width h = height

Parallelogram Area = b × h b = base h = vertical height

Step-by-step explanation:

:)

Answer:

area

triangle = 1/2 x base x height

rectangle = base x height

parallelogram = base x height

Step-by-step explanation:

Divide the following. Put your answer in
scientific notation.

(77) divided by (4.9 X10^6)

Answers

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

Explain 5 different ways you use Math in your everyday life.
This is a telpas thing btw

Answers

Answer:

School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!

Step-by-step explanation:

Does this count?

Answer:

Time deltas

Step-by-step explanation:

The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function

Answers

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

[tex]y = m(x-x_1)+y_1[/tex]

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

Shape p is translated to shape Q using vector (a b).
Please find A.
Photo attached.

Answers

Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

What is translation of a graph?

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

Learn more about translation of a graph here: brainly.com/question/14753556

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IT DIVISION ITS NOT ADDING.

Answers

If you mean 13 divided by 3 then it’s 4.3/4remander 3

PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft

Answers

Answer:

Step-by-step explanation:

h and r are the height and radius of the tank, respectively.

volume = πr²h

πr²·9 = 572π

r = √(572π/(9π)) = √(572/9)

diameter = 2r ≅ 15.9 ft

If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.

Answers

Answer:

right

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

An isoceles triangle has 2 congruent sides.

What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8

Answers

4y=32+x

y=32+x/4

32+x/4=mx+8

32+x=4mx+32

32-32+x=4mx

x=4mx

x/:=4m

1=4m

m=1/4

Which statement is true based on the graph ?

Answers

Answer:

C: The speed increases from A to F

Step-by-step explanation:

Check each node A to F including A and F.

B is higher than A, C is higher than B, ...

This is true for all of them, so it is increasing.

The speed of the car is increasing in the time interval from point A to point F. Option C is correct.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

What is the graph?

The graph depicts the relationship between the x and y axes through the use of curves.

Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,

Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.

Learn more about graphs here:

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Round the number 3,454,877 to the nearest 100,000.*

Answers

Answer:

3,500,000

Step-by-step explanation:

the ten thousands place is a 5 so you round the 4 up to a 5

A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?

Answers

$540

6% = .06
“of” = multiply
so 6% of 9000 can be written as .06 x 9000 , which is 540

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

What is the meaning of commission?

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

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This figure consists of a rectangle and semicircle.

What is the area of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

ft²

Answers

Answer:

Step-by-step explanation:

Radius of semicircle = 2 ft

Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft

Area of rectangle = 10 × 4 = 40 sq ft

Total area = 46.28 sq ft

Answer:

46.28

Step-by-step explanation:

I have this question on a homework and don't know how to do It ​

Answers

Area of a triangle  = 1/2 x length x height.

80 = 1/2 x (x+1) (2x-2)

Multiply both sides by 2:

160 = (x+1)(2x-2)

Expand the right side:

160 = 2x^2 -2

Add 2 to both sides:

162 = 2x^2

Divide both sides by 2:

81 = x^2

Take the square root of both sides:

x = 9

Now find the length of the s1des:

(x+1) = 9+1 = 10

2x-2 = 2(9) -2 = 18-2 =16

The shorter side is 10

PLEASE HELP GEOMETRY

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]

24x=48

x=2

If /Il m, what is the value of x?

Answers

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)

There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?

Answers

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

Learn more about the divide visit:

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Rafael plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.

Answers

Answer:What is m?

Step-by-step explanation:



Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Answers

Answer:

Decreasing; 0.8%

At 8p.m., the temperature was -9 degrees Fahrenheit. Over the next five hours, the temperature dropped by 18 degrees. What is the temperature after five hours?

Answers

Answer:

-27 if im reading the question right.

Step-by-step explanation

1 poin
Sylvia is going to buy a new jacket. The regular price is $68.00 and the
jacket is on sale for 25% off. There is a 15% sales tax on the jacket. How
much will Sylvia pay for the jacket? *
86.18
$85.00
$58.65
$61.20

Answers

Sylvia will pay $58.65

Answer:

58.65 because I just know what the answer is


If y= cx" and dy/dx =
4/root x

what are the values of c and n?

Answers

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

To know more about differentiation click on,

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At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?

Answers

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?

Answers

Answer:

24 Blocks

Step-by-step explanation:

Hope this helps

Answer:

24 blocks

Step-by-step explanation:

Hope this helped

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.


Help ME and plzz show your work thank you love

Answers

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

3
8
8
1
.
2. I need help!!!!!

Answers

Answer:

3 7/8

Step-by-step explanation:

8 3/8 - 4 1/2 =

8 3/8 - 4 4/8=

7 11/8 - 4 4/8 =

3 7/8

Answer:

The person above is correct

Step-by-step explanation:

When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.

What is 5(4+6) x 6 =?

Answers

Answer:

300

Step-by-step explanation:

PEMDAS
5(4+6)x6=
V
5(10)x6=
V
50x6=
V
300
I hope you understand :)

Write a plan to prove that angle 1 is congruent to angle 2

Answers

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD​

Answers

Answer:

hope this is what u want

and don't mind my handwriting I wrote it as fast as I could

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