The mean of five numbers is 8. If one of the five numbers is removed, the mean becomes 9. What is the value of the number that was removed

Answers

Answer 1

Using the mean concept, it is found that the value of the number that was removed was of 4.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The mean of five numbers is 8, hence, the sum of the numbers is given by:

S = 5 x 8 = 40.

If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:

S = 4 x 9 = 36.

The difference is:

40 - 36 = 4.

Hence, the value of the number that was removed was of 4.

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Related Questions

Please help!! Will mark brainlyest.

Answers

Answer

B

Step-by-step explanation

Please give me brainlist.

1 Which expression best represents the opposite of the opposite of 8 1/4 ?
A) -(+8 1/4)
B) -(-8 1/4)
C) +(-8 1/4)
D) +(+8 1/4)

Answers

I believe It is B; -(-8 1/4)

Answer:

b.

Step-by-step explanation:

We have been given a number 8¼. We are asked to find the opposite of the opposite of our given expression.

Since our given number in positive, so opposite of our given number will be:

–8¼

The opposite of new number will be:

–(–8¼)

Therefore, the expression –(–8¼) represents the opposite of the opposite of 8¼ and option 'b' is the correct

Find 3 ratios that are equivalent to the given ratio.

2/7

Answers

Answer:

I've got lots of ratios for you.

4/14

6/21

8/28

10/35

12/42

14/49

16/56

18/63

To calculate a ratio, next time do this...

If you are comparing one (A) to another (B), your formula would be A/B.

This means you are dividing information A by information B.

For example, if A is 5 and B is 10, your ratio will be 5/10.

Simple as that.

YW!!

Answer:

1) 3:4. 2) 30:40. 3) 45:80

Step-by-step explanation:

15:20 CAN SIMPLIFEY BY 5  SO. 15/5 =3 20/5=4  SO OVERALL ITS 3:4

I need help with trigonometry hw

Answers

Answer

See in pic

Step-by-step explanation:

A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.

Answers

The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.

How to compute the distance?

From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.

The distance will be:

= 160 × cos30°

=160 × 0.866

= 138.56 feet

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Cross out the numbers below that are NOT equivalent to 500.0.
500.00 5 × 10 5 × 102 50.05 500.500

Answers

Answer:

500.00    equal

5 × 10      not equal

5 × 10²      equal

50.05     not equal

500.500      not equal

A _____________ is a line that provides an approximation of the relationship between the variables.

Answers

Answer:

srat

Step-by-step explanation:hehe i really dont know

12
14
Line tis graphed below. Triangle ABC and triangle CDE are similar triangles,
D
8
line
Which statement is true?
A The slope of AC is less than the slope of CE.
B The slope of AC is equal to the slope of CE.
С The slope of AC is greater than the slope of CE.
D Line t has a variable slope.

Answers

The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.

What is the Slope of the Sides of Similar Triangles?

On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.

Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.

Thus, slope of AC = slope of CE.

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Find the diameter of a circle with an area of 6767 square centimeters.
The diameter is //] centimeters.

Answers

Area=6767cm²

Diameter be d

Radius be r

πr²=6767r²=6767/πr²=2155r=46.4cm

Diameter=2r=46.4(2)=92.8cm

Which is the radius of a circle whose equation is (x-7)^2+(y-10)^2=4

Answers

Answer:

2

Step-by-step explanation:

Standard form of a circle   (x-h)^2 + (y-k)^2 = r^2

  this circle is already in this form

     the center will be at   h, k    or   7,10

       the radius^2 = 4     so radius = 2

Help find the volume of the figure in terms of Pi.

Answers

The volume of a cone is equal to 1/3•pi•r^2•h. If you want to find the volume of something in terms of pi, you must multiply all other numbers and leave the answer without multiplying the pi in.

In this case, the radius is equivalent to 2mi and the height is equivalent to 7mi. This means….

r^2=4
h=7

Now plug in the numbers into the formula for the volume of a cone.

1/3•4•7•pi
28/3pi

The answer is 28/3 pi.

Answer:

9.33π

Step-by-step explanation:

the formula to solve for the volume of a cone is V=πr^2 * h/3

r = radius of base (2mi)

h = height (7mi)

plug in the numbers

V=π2^2 * 7/3

V=π4*2.33333333

V=9.33π

4
Adam's
age is 3 years and 6 months.
Zara's age is 2 years and 11 months.
.
Write Adam's age in months as a fraction of Zara's age in months.
Give your fraction in its simplest form.

Answers

The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5

How to represent the age as a fraction?

The ages are given as:

Adam = 3 years and 6 months

Zara = 2 years and 11 months

Rewrite the ages in months

Adam = 3 * 12 + 6 = 42 months

Zara = 2 * 12 + 11 = 35 months

Adam's age as a fraction of Zara's age is calculated using:

Fraction = Adam/Zara

This gives

Fraction = 42/35

Simplify

Fraction = 7/5

Hence, Adam's age as a fraction of Zara's age is 7/5

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The distance between points A(1, -4) and B(x, -2) is [tex]\sqrt{5\beta }[/tex] units. Find x.

Answers

Answer:

5\beta ???

Step-by-step explanation:

please recheck the question ..

Which term of the AP 2,8,14,20..... Will be 210 more than it's 60th term?

Answers

Answer:

95th term

Step-by-step explanation:

the nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

the 60th term is then

a₆₀ = 6(60) - 4 = 360 - 4 = 356

so 210 more than a₆₀ = 356 + 210 = 566

now equate [tex]a_{n}[/tex] to 566 and solve for n

6n - 4 = 566 ( add 4 to both sides )

6n = 570 ( divide both sides by 6 )

n = 95

Answer:

95th term.

Step-by-step explanation:

The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term.  This can be written as 6n+2, where n starts at 0 for the first term.

n  Value  (6n+2)

0     2  

1      8

2     14

3     20

4     26

60   362

---

We want to know what term is 210 more than 362.  (362+ 210) = 572

We can solve by using the equation in reverse and solving for n:

(6n+2) = 572

6n = 570

n = 95

The 95th term (572) is greater than the 60th term (362) by 210.

Hello people ~
factorise : 5x²+16x+3​

Answers

5x²+16x+35x²+15x+x+35x(x+3)+1(x+3)(5x+1)(x+3)

Done!

Answer:

Step-by-step explanation:

Remark

If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.

Let's try this:

(5x  +   1) ( 1x + 3)

Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.

It looks like this works. 5 * 3x + 1x = 16x

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.

Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.

Answers

4 months because 35 times 4 =140 and 140 + 15 =
155 :)))

Circle A has center of (2,3) and a radius of five, and circle B has a center of (1,4) and a radius of 10.

What steps will help show that Circle A is similar to Circle B?

A.) Dilate circle A by a scale factor of 2

B.) Translate circle A using the rule. (x + 1, y - 1).

C.) Rotate circie A 180° about the center.

D.) Reflect circle A over the y-axis.

Answers

Answer:

A) Dilate circle A by a scale factor of 2

Step-by-step explanation:

For two triangles to be similar, they need to have the same radius.

Circle A has a radius of 5, and Circle B has a radius of 10.

So, to make them similar, we can simply :

dilate circle A by a scale factor of 2

This would give Circle A and B the same radius, and they will be similar.

If 840 CLASS eighth graders, making up 4/5 of total eighth, studied algebra during summer, how many eighth graders are enrolled with CLASS

Answers

Answer:

1008

Step-by-step explanation:

If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%,  and you'll get 1008.

help me with this one
I need full explanation

50 points+ Brainliest !??
Answer as fast as possible..
The answer is there all I need is the process ​

Answers

This is the answer of your question

What is 0.¯47 expressed as a fraction in simplest form?

Answers

Answer:

The answer would be 47/99

Step-by-step explanation:

Instructions: Find
the measure of the indicated angle to the nearest degree.

Answers

Cos(angle) = adjacent leg/ hypotenuse


cos(angle) = 21/36


angle = arccos(21/36

Angle = 54.31

Angle = 54 degrees

Find the first four terms, in thousands, of the geometric series. round to the nearest thousand. a1 = a2 = a3 = a4 =

Answers

The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term

The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

How to determine the first four terms?

The geometric series is given as:

an = 400(1.05)^(n-1)

Substitute 1 for n

a1 = 400 * (1.05)^(1-1)

Evaluate the product

a1 = 400

Substitute 2 for n

a2 = 400 * (1.05)^(2-1)

Evaluate the product

a2 = 420

Substitute 3 for n

a3 = 400 * (1.05)^(3-1)

Evaluate the product

a3 = 441

Substitute 4 for n

a4 = 400 * (1.05)^(4-1)

Evaluate the product

a4 = 463.05

Hence, the first four terms are

a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

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Answer:

a1 = 400

a2 = 420

a3 = 441

a4 = 463

C

Step-by-step explanation:

Which description is correct for the polynomial 4x² +3x +5?


quadratic trinomial

quartic monomial

cubic trinomial


cubic binomial

Answers

Answer:

the answer to this question. is quadratic trinomial

Answer:

The answer is quadratic trinomial because it is to the power of 2, and has 3 terms.

Sammy plans to build a kite He has two rods of lengths 4 feet and 3 feet Find the area of the material he will need to cover the kite A: 7 ft2
B: 3 ft2
C: 6 ft2
D: 12 ft2

Answers

The answer would be D: 12 ft2

The radius of a circle is 1 kilometer. What is the circle's area?
Use 3. 14 for ​. Square kilometers

Answers

Answer:

3.14km^2

Step-by-step explanation:

area of circle= πr^2

=3.14×1^2

=3.14km^2

Answer:

[tex]\boxed{\sf{3.14\ km^2}}[/tex]

Step-by-step explanation:

Given:

Use the formula of area of circle.

Area of circle:

[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]

Solutions:

Radius of a circle is 1 kilometer.

[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]

Solve.

[tex]\sf{1^2=1*1=1}[/tex]

[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]

Therefore, the correct answer is 3.14km².

I hope this helps, let me know if you have any questions.

Quick please I need this before I go

Answers

Answer:

143/63 or 2 and 17/63

Step-by-step explanation:

multiply the length times the width

13/9 x 11/7

Which angles are acute?
D
A B
C
Check all that apply.
A. ZDBC
B. ZGFE
C. ZDBA
D. ZMLK
E
14
H
L
M
K

Answers

Answer:

B & C

Step-by-step explanation:

Acute angles are sharp-like angle - they are measured between 1° up to 89°. That means acute angles have measurement starting from 1 to 89.

The shape of acute angles, as said, they are namely sharp angles because their vertex and lines form sharp shape.

So what you have to do is to find angles that look like a sharp pencil/pen, probably something that can be understandable:

Sharp-looking measurements are:

∠DBA∠GFE

Keep in mind that ∠GFE is really an acute angle, but ∠HFE is a right angle.

Let’s look into more types of angles as shown in choices:

∠DBC is an obtuse angle - it is the angle measurement between 91° up to 179°∠MLK is a right angle - it is the angle measurement of exact 90° - keep in mind, only right angles can have measurement of 90°

Hence, acute angles are ∠GFE and ∠DBA

The angles which are acute are ∠GFE and ∠DBA.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given three figures and corresponding angles.

We have to find the acute angles.

Acute angles are angles which measures less than 90 degrees.

An angle which measure 90 degrees is the right angle which stands vertically.

Acute angles are less than this.

From the figure and options, acute angles are ∠GFE and ∠DBA.

Hence the acute angles are ∠GFE and ∠DBA.

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2r +8= 26
» What is the value of r?
meters

Answers

Answer:

r = 9 meters

Step-by-step explanation:

2r + 8 = 26 <== subtract 8 from both sides

    - 8     - 8

2r = 18 <== divide both sides by 2 to isolate the variable

/2    /2

r = 9 meters

Hope this helps!

Answer:

[tex]\boxed{\sf{r=9}}[/tex]

Step-by-step explanation:

To find the value of r, isolate it on one side of the equation.


[tex]\sf{2r+8=26}[/tex]

First, you have to subtract by 8 from both sides.

[tex]\sf{2r+8-8=26-8}[/tex]

Solve.

Subtract the numbers from left to right.

26-8=18

2r=18

Divide by 2 from both sides.

[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]

Solve.

Divide the numbers from left to right.

18/2=9

r=9

Therefore, the correct answer is r=9 meters.

I hope this helps. Let me know if you have any questions.

Tj is thinking of a number, which he calls n. He finds 1/3 of the number and then subtracts 5.

Answers

Answer:

1/3n-5

Step-by-step explanation:

n=1/3n

subtract 5

so the expression is 1/3n-5

Answer:

[tex]n\frac{1}{3}-5[/tex]

Step-by-step explanation:

Hey there!

This is the equation for your answer because you said that he finds 1/3 of n and then subtracts 5

Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drink each day?​

Answers

Answer:

7525 milliliters

Step-by-step explanation:

because if you multiply 2150 by 3.5 you will get that number

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