if the mean of 12,16,22,X 28 is 19.6 find X

Answers

Answer 1

Answer:

20

Step-by-step explanation:

A data is given and the mean of data is 19.6 .The data is ,

12 , 16 , 22 , x , 28 .

We know that the mean is sum of observations divided by Total number of observations . So that ,

⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6

⇒ 78+x/5 = 19.6

⇒ 19.6 × 5 = 78 + x

⇒ 78 + x = 98

⇒ x = 98 - 78

⇒ x = 20

Hence the value of x is 20 .

Related Questions

What is the distance between the following points

Answers

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

Uh please help me, I need a step by step answer.

Answers

Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

Estimate:
89)364
A
4
B
270
10
D
450

Answers

Answer:

expresión

Step-by-step explanation:

Answer:

Step-by-step explanation:

Either the question is displayed incorrectly, or some crucial information has been omitted.

53, 13, 34, 41, 26, 61, 34, 13, 69 4) Mean : Median Mode : Range:​

Answers

Answer:

Mean: 34.8

median:34

Mode: 13,34

Range:65

Step-by-step explanation:

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34.

The value of Range is 56.

Here,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

We have to find the value of Mean , Median , Mode and Range.

What is Range of the data set?

To find Range of the data set we have to find the difference of highest and lowest number of the set.

Now,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

Firstly we arranged in the ascending order we get;

13, 13, 26, 34, 34, 41, 53, 61, 69

The Mean of data set is calculated as;

Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]

Hence, The value of Mean is 34.4

And, The Median is calculated as,

There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.

Hence, The value of Median = 34 (middle term)

Now, The Mode is the number that appears most often within a data set.

In the data set,

13, 13, 26, 34, 34, 41, 53, 61, 69

Number 13 and 34 repeat two times.

So, The value of Mode = 13 and 34

Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.

Here, In the data set;

The highest number = 69

The lowest number = 13

Hence, Range = 69 - 13 = 56

Therefore,

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34

The value of Range is 56

Learn more about the range of data set visit:

https://brainly.com/question/24326172

#SPJ2

In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin did the successful candidate win the election.

Answers

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

what is 10 x 40 to the 12 power divided by 3 x 4

Answers

Answer:

33.33333333

Step-by-step explanation:

find An Equation Of The Line Containg(3,-4) and Having slope -2.If This Line Contain The Points (a,8) and (5,b) find a and b​

Answers

Answer:

equation: y=-2x+2

a=-3

b=-8

Step-by-step explanation:

we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2

slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we can plug what we know into the equation:

y=-2x+b

we need to find b though

since the point will pass through the point (3,-4) we can subsitute it into the equation to find b

-4=-2(3)+b

-4=-6+b

2=b

the y intercept is 2

so the equation is y=-2x+2

the line also contains the points (a,8) and (5,b)

first, let's find a

a is the x value of the point

we know the value of y (8)

substitute y as 8 and solve for x

8=-2x+2

subtract

6=-2x

-3=x=a

so a is -3

now find b

b is the y value of the point

we know the x value (5)

substitute x as 5 and solve for y

y=-2(5)+2

y=-10+2

y=-8=b

so b is -8

hope this helps!

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

I think it’s 40(sorry if I’m wrong)

The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. If g(x) is obtained by shifting f(x) up by 4 units, then what is the value of k?

Answers

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution tgat is 21% alcohol?

Answers

Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

Which linear equation represents the table shown below?

~ y=6x+2
~ y=x+4
~ y=4x+2
~y=4x-2

Answers

Y=4x-2

You figure this out by just substituting the x and y values into the equation to check if it works

Help me. My pet rat....er my sister needs help with 6th grade work.

Answers

Answer:

A

Step-by-step explanation:

Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake

Answer:

A.) Step 1

Step-by-step explanation:

The actual answer is g=4.

Trevor screwed up at Step 1.

His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.

In Step 1, Trevor's equation was accurate, until the last number (1/3).

If he had flipped 1/3 to 3/1, he would've been correct.

g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.

Hope this helps out your pet ra- I mean sister.

A cardboard box has edges of length 2.3 in, 6.5 in, and 9.7 in. What is the volume of the box?​

Answers

Answer:

volume = 145.02 in³

Step-by-step explanation:

volume = 2.3 x 6.5 x 9.7 = 145.02 in³

Susan buys the items listed below at a grocery store.

2 packages of chicken priced at $12.36 per package

1 halfpound of broccoli priced at $1.98 per pound

1 gallon of milk priced at $3.49 per gallon

There is no sales tax on the food she buys. Susan pays for the item and receives $0.80 in change. What amount of money does Susan use to pay for the items?

please show your work.free 31 points

Answers

Answer:

Susan should get a loan and jjustpay without stressing herself and calculaitingthis

 

Step-by-step explanation:

She uses $31.99 to pay for the items.

2(12.36) + 1.98 + 3.49
= 24.72 + 5.47
= 30.19 (cost of all items)

$30.19 + 0.80 = 31.99

Help me find the answer
Tan 0 and Cot O ​

Answers

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

In ΔIJK, j = 540 inches, ∠I=54° and ∠J=69°. Find the area of ΔIJK, to the nearest square inch.

Answers

Answer:

105963

Step-by-step explanation: delta math

I need help I don’t understand

Answers

Answer:

x = 9

Step-by-step explanation:

By the property of intersecting secants:

[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]

Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What percent of the total cupcakes did Gabriel share with his classmates?

A 12%12%

B 22%22%

C 75%75%

D 88%

Answers

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

(っ◔◡◔)っ ♥ Hope It Helps ♥

It d 88 I hope it help you

scientific notation without common powers of ten

Answers

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

hi i need help with this question asap ty ty ty!!!

Answers

i think it would be 5 :)

Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2

Answers

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

Tom has a cube, a rectangular prism,and a traiangular prism. Which of his shapes has MORE than 6 verticles

Answers

A cube and a rectangle prism both have 8 vertices
Both the cube and rectangular prism have 8 vertices, the triangular prism has 5

12(r + t) - 6(r + t) + 4(r +t) - (r + t)

Answers

Answer:

10r+10t

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9r+9t I hope this help

What is the slope-intercept equation for the following line?

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

ALgebra is my best subject! Have a good day!

Two of the angles in a triangle measure 81° and 86°. What is the measure of the third angle?

Answers

Answer:

13°

Step-by-step explanation:

The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°

Subtract: 180°-167°=13°

Hope this helped!

Stay safe and have a wonderful day/night!

Your friend Bella was here :)

Please help due soon!!

Answers

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

--------------------------------------------------------------

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

CAN U PLEASE HELP!!!!

Answers

Answer:

C

Step-by-step explanation:

1/10 = 10/100

So 10/100 + 88/100 = 98/100

Worth 17 points! Help me please!!! Look in the picture

Instructions: give me each answer with the question please

Math is due tomorrow NO links are allowed or DONT answer if your not going to help

Answers

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

3. Mrs. Sinclair is finding the selling price of a pair of $40
skates with a 30% markup. Find her mistakes and correct it.

Answers

Answer:

Selling price : $52

Step-by-step explanation:

First, find 30% out of 40.

x= (40)(30)=1200/ 100= 12

x=12

Add 30% to the original selling price.

So then you add $12 to $40 to get $52.

a diameter of 120 feet. To the nearest foot, what is the minimum length of fencing he needs to buy? If the fence costs $2.10 per foot, what will be the total cost?

Answers

Step-by-step explanation:

they have 122.1 of total of cost

Answer:

It is assumed the full circular fencing is needed.

Circumference of the circle = the length of fencing:

C = πd = 3.14*120 feet = 376.8 feet ≈ 377 feet

Total cost:

377*$2.10 = $791.70
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