R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​

Answers

Answer 1
Solution :

let the last number be x

we know,

[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]

[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]

[tex] \hookrightarrow \: 32 = 22 + x[/tex]

[tex] \hookrightarrow \: x = 32 - 22[/tex]

[tex] \hookrightarrow \: x = 10[/tex]

therefore, the last number is 10.


Related Questions

If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?​

Answers

Step-by-step explanation:

I hope it helped U

What is 6a +9 ≤ -15?

Answers

6a lessthanequalto -24

The answer is A is less than or equal to negative 4

Answer:

a = -5

Step-by-step explanation:

IF A = -5

6 ( - 5 ) + 9

- 30 + 9

-21

-21 is less than -15 so it works

(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:

Answers

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

need help with this please..

Answers

Answer: 20/40 is the same as 20•40 or 1•2 and simplifies to 1/2

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is​

Answers

Answer:

The length of the feild is:

    (42 / 3) x 5 = 70m

So the length of the feild is 70m

Hope it helps, Brainliest  please <3

11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.

Answers

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

If she read 1 hour she’d read 25 pages.
So;
25 x 1(total hours) = 25xh = 25h

Manuel estimates that 2/3 of a pizza is left. Stephen estimates that 3/4 is left. They are
going to compromise for a joint estimate by using the number halfway between their 2
estimates. What is their joint estimate?

Answers

Answer:

it is 2.5/3.5

Find the missing number so that the equation has no solutions.
x–10=

2x–15

Answers

Answer:

X=-5/3

Step-by-step explanation:

Help me with 19 and 20

19 find x

20 find y

Answers

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

V= 1/3Bh solve for H

A. 3b/v

B. b/3v

C. v/3b

D. 3v/b

Answers

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

which of the following is the best estimate of the square root of 90

Answers

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

If 3x = y -5 and x = 4, then y =

Answers

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

10 divide 6.0 please

Answers

Answer:

1.6667

Step-by-step explanation:

It took awhile to get this

Which absolute value equation shows the distance this temperature reading is from zero?

Answers

|65|=65 as it is 65 from 0, in a positive direction

Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km

Answers

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

Anyone? Got an ideas

Answers

I’m sure it’s “0.65428571428” There is not while number in the answer

Help please ill give you brainlest
Is this correct??

Answers

Most of those are correct but the ones that are not are, (15+8 divided by 4-6) as division comes first. 6x3-8 as multiplication comes before subtraction. And 2/3+4x2, multiplication comes before addition. So change those couple up and you got it.

Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.

Answers

the third graph is the correct choice. the graph has a y-intercept at -3, with a slope of 4, and shading to the right of x=1

plz help me plz and correctly!!!! only 3 questions plz!!!​ 100 points

Answers

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

is 9.373 a repeating decimal? is it rational?

Answers

Answer:

Rational

Step-by-step explanation:

x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z

Answers

Answer:

418

Step-by-step explanation:

please make me brainlist

How many milligrams are equal to 39 grams?

A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams

Answers

how many milligrams are equal to 39 g is 39,000 which is D

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

FIRST ONE TO AWNSER GETS BRAINLYISTAND 50 POINTS
AND MY LOVE !!!!!!!!!!

Answers

Answer:

Answer: c

Step-by-step explanation:

A.

[tex]16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116[/tex]

B.

[tex]16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]

C.

[tex]16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]

D.

[tex]16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116[/tex]

What is the measure of angle K?
59°
A
m/K
B
g/n
D
A. 180°
B. 58
C. 122
ОО
D. 32

Answers

Answer:

the answer is going to be c

Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280

Answers

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

If a=b+7 and b+7=9, then a=9

Answers

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??

Answers

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

Which is greater 55.5% or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

helpppppppppp it’s multiple choice questions I’ll brainlist!

Answers

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

the answer to ur question is D

Find the median of the data. 7, 5, 12, 8, 2, 9, 4

Answers

The median of the data is: 7

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