Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.​

Answers

Answer 1

Answer:

The average of the 10 numbers is 195

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers dividing by their number

Average = The sum ÷ The number

∵ The average of 60 numbers is 55

The average = 55

The number = 60

→ Substitute them in the rule above to find the sum of the numbers

∵ 55 = The sum ÷ 60

→ Multiply each side by 60

∴ 3300 = The sum

The sum of the 60 numbers = 3300

∵ 10 more numbers are included

∵ The average of  70 numbers become 75

The average = 75

The number = 70

→ Substitute them in the rule above to find the sum of the numbers

∵ 75 = The sum ÷ 70

→ Multiply each side by 70

∴ 5250 = The sum

The sum of the 70 numbers = 5250

∵ The sum of the 10 numbers that added is the difference between

   the sums of the 60 and 70 numbers

∵ The difference between the sums = 5250 - 3300

The difference between the sums = 1950

→ To find the average of them divide their sum by 10

∵ The average of the 10 numbers = 1950 ÷ 10

∴  The average of the 10 numbers = 195


Related Questions

A drawer contains 23 black socks comma 23 white socks comma and 23 blue socks23 black socks, 23 white socks, and 23 blue socks. If the light is off and Matt reaches into the drawer to get his​ socks, what is the minimum number of socks he must pull out in order to be sure that he has a matching​ pair?

Answers

Answer:

1/3 × 6 = 2

Step-by-step explanation:

Probability of picking out a color is

23/138 + 23/138 = 46/138 = 23/69 = 1/3

i need help with my homework ​

Answers

Answer:

(A = 2,3)(B = -2,-5)(C = 4,4)(D = -6,8)(E = 8,-6)(F = -8,-6)(G = 3, 2.5)

What’s the answer to this? Pls and thank you!

Answers

The other perosn right

Answer:

Answer choice D

Step-by-step explanation:

You can see that the triangles have dashes on them. side DE has two and side AB also has 2. If you rotate triangle ABC, you can also see that AB and DE are congruent.

What’s the greatest common factor of 36 , 48, an 80?

Answers

The great component factor of 36, 48, and 80 would be 4

Answer: 4

Step-by-step explanation:

36,48,80

80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Caroline and Sarah in some money and share it in the ratio 2:1. Caroline gets £45 more than
Sarah How much did Sarah get ?

Answers

Answer:

£22.5

Step-by-step explanation:

We would have to split the ratio to 45:45/2 as 2:1 is 2:2/2

Which would give us the answer 45:22.5

Sarah got £22.5

whoever answers first with an answer & explanation gets brainliest! iz a really easy question but you just have to be the fastest! The question is 2+2=? (btw imma come back in half an hour to award the brainliest)

Answers

Answer:

4

Step-by-step explanation:

Because if you have 2 apples and add 2 apples to that, you'll have a total of 4.

Answer:

4

Step-by-step explanation: thank you

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.8 inches, and standard deviation of 7.5 inches. A) What is the probability that a randomly chosen child has a height of less than 62.95 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 44.4 inches? Answer= (Round your answer to 3 decimal places.) Calculator Submit Question Question 10

Answers

Answer:

A) 0.889

B) 0.895

Step-by-step explanation:

Mean of 53.8 inches, and Standard deviation of 7.5 inches.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

A) What is the probability that a randomly chosen child has a height of less than 62.95 inches?

For x < 62.95

z = 62.95 - 53.8/7.5

z = 1.22

Probabilityvalue from Z-Table:

P(x<62.95) = 0.88877

Approximately = 0.889

B) What is the probability that a randomly chosen child has a height of more than 44.4 inches?

For x > 44.4 inches

z = 44.4 - 53.8/7.5

z = -1.25333

Probability value from Z-Table:

P(x<44.4) = 0.10504

P(x>44.4) = 1 - P(x<44.4) = 0.89496

Approximately = 0.895

Which of the relations below is a function?
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6,2), (7,3)}

Answers

Answer:

k

Step-by-step explanation:

dw

Answer:

K

Step-by-step explanation:

Dw. Please give me like

is x + 8 ≥ 18 a closed or a open circle

Answers

Answer:closed

Step-by-step explanation:

Vivian earned $540 last month. She saved 30% of this money. How much did she save?

Answers

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

GIVING BRAINLIST PLEASE HELP (see picture above) !!!!

Answers

Answer:

Im sure that the answer is c

Answer:

C) 1 and 2

Plzzzz give me Brainliest!!!!!  

what the slope of (15,9) (-10,3) ​

Answers

Answer: 0.24

Step-by-step explanation: m = -6 / -25 = 0.24

Answer:

0.24

Step-by-step explanation:

cuz m = -6 / -25 = 0.24

hope this helps am in 8th grade and plz pick me as brainless

find a factor of 5x^2+ 27x - 56​

Answers

the answer is (5x-8)(x+7)

Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.

This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.

Which text feature would best help readers understand important details in this excerpt?

a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building

Answers

Answer:

B. a picture of Knife Edge Mirror Two Piece

Step-by-step explanation:

pls give brainliest, u don't have to

Did it on edge, hope u have a good day :)

Answer:

b

Step-by-step explanation:

can you solve what is 31 x 1/8

Answers

Answer:

3  6/8

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

challenge: if you can answer these you are genius

(4 x 6) x 2 =

8 x (7 x 3) =

(10 x 5) x 8 =

(9 x 2) x 7 =

(6 x 1) x 8 =

(7 x 11) x 2 =

5 x (9 x 6) =

4 x (12 x 3) =

Answers

1) 48
2) 168
3) 400
4) 126
5) 48
6) 154
7) 270
8) 144

Answer:

1. 48

2. 168

3. 400

4. 126

5. 48

6. 154

7. 270

You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)

Answers

Answer:

I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number

Step-by-step explanation:

5, 11, 17, 23, 29, 35. (Difference of 6)

4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)

As for the formulas I’m not sure, but I I would guess something like

an=6n-1

an=n/4

I am not sure about the formulas though

For the function F defined by F(x)=x2−2x+4, find F(−2).

Answers

Answer:

F(-2) = 12

Step-by-step explanation:

F(-2) = (-2)²- 2(-2) + 4

= 4 - (-4) + 4

= 4 + 4 + 4

= 12

The required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.


A quadratic function is given F(x) = x² − 2x + 4, value of the function is to be determined at x = -2.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

F(x) = x² − 2x + 4
Above given function is a quadratic function,
in order to find F(-2) , we have to put x = -2 in above given function.

F( -2 ) = ( -2 )² − 2( -2 ) + 4
F( -2 ) =  4 + 4 + 4
F( -2 ) =   16

Thus, the required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.

Learn more about polynomial function here:
https://brainly.com/question/12976257
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Which pair of lines are perpendicular?
A. x - y = 7 and y = x + 3
B. y = -4x + 1 and 8x + 2y = -10
C. y = -8 and y = 2
D. x = 4 and y = -1

Answers

It would be y=-8 and y =2

I’m sorry if I’m wrong <3

I NEED THIS ASWERED NOW
0.07 + v = 0.28
v =
?

Answers

V=0.21 is your correct answer

Answer:

V = 0.21

Step-by-step explanation:

subtract 0.07 from the other side to get v alone.

Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the​ top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.

Answers

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

Step-by-step explanation:

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.

Step-by-step explanation:

equation or expression ​

Answers

Answer:

The first is equation the second is expression the third is expression and the fourth is equation

Step-by-step explanation:

equations have equal signs and expressions dont

1. Equation
2. Expression
3. Expression
4. Equation

What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Answers

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

5x + 2y = 6
Finding slope

Answers

Answer:

−5 /2 x + 3

Step-by-step explanation:

Answer:

If by ‘finding slope’ you mean the slope-intercept form of the equation, then the following should be what you need.

5x+2y=6

2y=6-5x
Divide both sides by 2
y=3-5/2x
And by reordering the terms you get...
y=-5/2x+3

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

Which function will have the steepest graph? O y=-2x O y=-* Oy = 3 x 2 2 Oy=​

Answers

Answer:

Step-by-step explanation:

Y = 5/2x on edge

The steepest graph is given by y= 5/2x.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

First, y= -2x

Here the slope is -2.

Second, y = -1/2 x

Here the slope is -1/2.

Third, y= 3/2x

Here the slope is 3/2 or 1.5

Fourth, y= 5/2x

Here the slope is 5/2 or 2.5

As, we know A steeper slope in a graph means that the rate of change is faster.

Then, y= 5/2x have steeper slopes.

Learn more about Slope here:

https://brainly.com/question/3605446

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which of the following is an important step in the formation of a fossil
a.) the organism must be a reptile
b.) the organism must be buried quickly
c.) the organism must die of natural cause
d.) the organism must not have any fur

Answers

Answer:

b

Step-by-step explanation:

After a bone, wood fragment, or shell is buried in sediment, it may be exposed to mineral-rich water that moves through the sediment. This water will deposit minerals into empty spaces, producing a fossil. Fossil dinosaur bones, petrified wood, and many marine fossils were formed by permineralization.

Answer: fossils can be formed only when a living thing is buried soon after it dies. If it is not buried soon enough, it decays. For this reason, most fossils are found in sedimentary rocks that were once under water.

Step-by-step explanation:

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2y = x + 2 x - 3y= -5 O A. (2, 2) O B. (4,3) O C. (6,4) O D. (8,5)​

Answers

Answer:

(4,3)

Step-by-step explanation:

2y = x + 2

x - 3y = -5

Rearrange the second equation to equal y.

x - 3y = -5

x + 5 = 3y

(x+5)/3 = y

Substitute into the first equation.

2y = x +2

2[(x+5)/3] = x + 2

(2x + 10)/3 = x + 2

2x + 10 = 3(x + 2)

2x + 10 = 3x + 6

10 - 6 = 3x - 2x

4 = x

Therefore, the correct ordered pair is (4,3) since x is equal to 4.

Find the value of x so that f(x)=7.

Answers

Answer:

f(x) = 7 . x=1 .

What is sin45°*sin30°*cos60°

Answers

Answer:

[tex]\frac{\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]