The mean of five numbers in a set is 12. If the set contains a total of six numbers and the mean of all six is
14, which of the following is the sixth number?
(1) 24
(3) 32
(2) 13
(4) 18

Answers

Answer 1
Answer:   24  (choice 1)

=========================================================

Explanation:

The process of finding the arithmetic mean involves two steps

add up all the numbersdivide by n, which is the number of values in the set

The first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean

y/n = mean

y/5 = 12

y = 5*12

y = 60

The five values add to 60.

----------

The next bit of info is that "the mean of all six is 14". That allows us to say:

(sum of all 6 values)/6 = mean

(sum of all 6 values)/6 = 14

( (sum of 5 values) + (6th value) )/6 = 14

(y + x)/6 = 14

(60 + x)/6 = 14

where x is the 6th number we want to find.

-----------

Solve for x

(60 + x)/6 = 14

60+x = 6*14

60+x = 84

x = 84-60

x = 24 so choice (1) is the answer


Related Questions

Your hose fills a swimming pool in 3 hours. When your friend's hose is used together with your hose, the pool is full in 1 hour. How long (in hours) does it take your friend's hose to fill the pool when working alone

Answers

Answer:

1.5 hours

Step-by-step explanation:

Given :

My hose = 3 hours ; my rate = 1/3

Let My friend's time = x ; his rate = 1/x

Combined time = 1 hour, combined rate = 1/1 = 1

Combined rate :

1/3 + 1/x = 1

1/x = 1 - 1/3

1/x = (3 - 1)/ 3

1/x = 2/3

Cross multiply :

3 = 2x

x = 3/2

x = 1.5 hours

In the circle shown, secants PE and PF have been drawn such that arc CE = 82, arc DF=98 and the ratio of arc CD to arc EF is 2:7. Determine the measure of angle P. Show how you arrived at your answer.

Answers

Answer:

m<P = 50°

Step-by-step explanation:

Given:

Arc CE = 82°

Arc DF = 98°

Ratio of arc CD to Arc EF = 2:7

Thus, let,

Arc CD = 2x

Arc EF = 7x

A full circle = 360°

Therefore,

Arc CE + Arc DF + Arc CD + Arc EF = 360°

Substitute

82° + 98° + 2x + 7x = 360°

Add like terms

180° + 9x = 360°

Subtract 180° from both sides

180° + 9x - 180° = 360° - 180°

9x = 180°

Divide both sides by 9

9x/9 = 180/9

x = 20

✔️Arc CD = 2x

Plug in the value of x

Arc CD = 2(20) = 40°

Arc EF = 7x = 7(20) = 140°

✔️Find m<P:

Recall: the measure of the external angle created when two secants intersect = half the difference of the major and minor arcs that are intercepted

Thus:

m<P = ½(arc EF - arc CD)

Substitute

m<P = ½(140° - 40°)

m<P = ½(100°)

m<P = 50°

What is the value of x when 1/3x = 9 1/2​

Answers

I'll help.

[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]

[tex]x = ?[/tex]

[tex] \frac{1}{3} x = \frac{19}{2} [/tex]

[tex]x = \frac{57}{2} [/tex]

"How it can be 57 ?"

The number 19 is multiplied by the number 3 at the bottom left.

19 × 3 = 57.

Find y and choose the answer for brainlest

Answers

Answer:

Last answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle y =128 degree reason-angles x and y are supplementary angles

The area of a rectangle is 259 cm sq and its length is 18.5cm find its breadth and perimeter

Answers

Answer:

Step-by-step explanation:

let it's breadth be x

area of rectabgle=l*b

259=18.5*b

259/18.5=b

14=b

perimeter of rectangle=2(l+b)

=2(18.5+14)

=2*32.5

=65 cm

Answer:

Breadth = 14 cm

Perimeter = 65 cm

Step-by-step explanation:

Length = [tex]18.5cm[/tex]

        Area = [tex]259cm^{2}[/tex] = l * b

       Therefore, breadth = area / length

        Breath = 259 / 185 = 1.4 * 10 = 14 cm

Perimeter = 2 * (l + b)

        Perimeter = 2 (18.5 + 14)

        Perimeter = 2 (32.5)

        Therefore, perimeter = 65 cm

I hope this helps :)

How many terms are there in this expression? 3a + b - 4c
——-
3
6
5

Answers

There's 3 terms

3a-----1

+b -----2

-4c------3

PLs help lots of points

Answers

Answer:

I believe it is cube A

Step-by-step explanation:

the volume of Cube B equaled 2073.6 in for me. so it would be less than cube A

Answer: They are the same

Explanation: same shape and size simple

A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
8
11
14
16
15
12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.

Answers

Answer:   3%

Most likely, you won't need to type in the percent symbol since that seems to be already done for you.

=========================================================

Explanation:

The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.

Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.

Dividing the two values gets us A/B = 3/100 = 0.03 = 3%

The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then
Mahmoud selects a piece of fruit at random. Find the probability that two apples are chosen​

Answers

Answer:1/12

Step-by-step explanation: 5/16 x 4/15 = 20/240= 1/12

Hi there I hope you are having an great day :) There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then  Mahmoud selects a piece of fruit at random. Find the probability that two apples are chose. (5/16)*(4/15) Mya selects a fruit and you want it to be an apple so that is 5 apples out of 16 fruits total. After Mya selects one fruit and it is an apple, there is one less fruit and apple. So 5-1/16-1. Since the is also in one case, not two separate ones, you multiply the two fractions so (5/16)*(4/15).

150 round 2 decimal places

Answers

Answer:

[tex]150 = 150.00[/tex]

llll answer this an i will mark u brainliest​

Answers

2 / -18 and 4/ a (1/2 ) I THINKKK

Answer: yeah the other person is right

Step-by-step explanation:


HELPP AND. D IS 10 it got cut out

Answers

Answer: 2

Step-by-step explanation:

2

Answer:

A

Step-by-step explanation:

The graft go's by twos

What does a country need to do to keep a republic, and not fall under the power of a dictator?

Answers

Answer:

Continue to provide equality for all!

Step-by-step explanation:

When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.

Hope this helps:)

If a spinner for a game is spun once, there is a 25% chance it will land on
orange. What is the chance that the spinner will not land on orange on both
the first and second spin in a game? Calculate the probability as a decimal
rounded to the nearest TENTH.

Answers

Answer:

[tex]Pr = 0.6[/tex]

Step-by-step explanation:

Given

Let

[tex]O \to Orange[/tex]

So:

[tex]P(O) = 25\%[/tex] --- probability of O

[tex]n=2[/tex] --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

[tex]P(O') = 1 - P(O)[/tex]

[tex]P(O') = 1 - 25\%[/tex]

Express as decimal

[tex]P(O') = 1 - 0.25[/tex]

[tex]P(O') = 0.75[/tex]

On two spins, the probability that it will not land on orange is:

[tex]Pr = P(O') * P(O')[/tex]

So, we have:

[tex]Pr = 0.75* 0.75[/tex]

[tex]Pr = 0.5625[/tex]

[tex]Pr = 0.6[/tex] --- approximated

Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE

Answers

[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]

[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]

[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]

[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]

[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]

[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]

[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]

[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]

a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?​

Answers

Answer: £48

Explanation: divide £56 by 7. each of the seven parts is equal to £8. Subtract £8 from £56 and the original price is £48.

26 months 7 days from 51 months.

Answers

Answer:

Uhhh get it i guess

Step-by-step explanation:

Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT

Step-by-step explanation:

An airplane flying into a headwind travels the -mile flying distance between Indianapolis, Indiana, and Phoenix, Arizona, in hours. On the return flight, the airplane travels this distance in hours and minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.

Answers

Answer:

the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Step-by-step explanation:

The values are missing in the given information in the question.

To able to solve this question, we will make some assumptions.

Let's assume that:

The airplane heading into the wind travels 1800 miles in 3 hours.

While returning via the same distance, it travels 2 hours 30 minutes.

We are to determine the plane's airspeed as well as the wind speed.

First, let us say that the speed of the plane is p and the wind speed is q

during the time the plane is traveling for 1800 miles in 3 hrs.

Then, we can say

3p -3q = 1800 ----- (1)

However, in  2hours 30 minutes, we have 2.5 hours

So, when the plane is returning, we have the following equation:

2.5p + 2.5q = 1800 ---- (2)

So, to find p and q, we can use the elimination method.

Simply by multiplying equation (1) with 5 and equation (2) with 6

 (5)3p    -  (5)3q     = (5) 1800

 (6)2.5p  + (6)2.5q = (6) 1800            

  15p -  15q  = 9000

+

 15p + 15q   = 10800      

 30p -  0     = 19800      

30p = 19800

p = 19800/30

p = 660

Since p = 660, then from equation (1) we can obtain the value of q:

So; Using equation (1):

3p -3q = 1800

3(660) - 3q = 1800

1980 - 3q = 1800

-3q = 1800 - 1980

-3q = -180

q = 180/3

q = 60

Therefore, the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Help
Which choice is equivalent to the product below when x > 0

Answers

Answer:

D

Hope this help

Step-by-step explanation:

the answer would be D

Help!!!!!!!Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Step-by-step explanation:

cos x = 59/95

x = 0.9007

round this and you have your answer

If two expressions have the same factor or base. What happens to the exponents when the expression are dividing

Answers

Answer:

whats the question tho?

Step-by-step explanation:

Can someone help me with this fast?

Answers

Answer:

Angle B 66

Step-by-step explanation:

Complementary angles means their sum is 90

if angle 2 is 24, angle 3 is 90-24

Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT

Answers

2+v12 is the answer

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb

Answers

Answer:

m = 6.43 (approx. )

Step-by-step explanation:

49 - 3m = 4m + 4

=> 49 - 4 = 4m + 3m

=> 45 = 7m

[tex] = > \frac{45}{7} = m[/tex]

=> 6.428571... = m

=> m = 6.43 (approx. ) (Ans)

Answer:

m = - 6 . 43

Step-by-step explanation:

49 - 3m = 4m + 4

= 49 - 4 = 4m + 3m

=45 = 7m

= 6.428571... = m

= m = 6.43  

Find sin S, sin R , cos S, and cos R.

Answers

Answer:

Step-by-step explanation:

sin S=21/75

sin R=72/75

cos S=72/75

cos R=21/75

Answer:

sin R = 72/75

cos R = 21/75

sin S = 21/75

cos S = 72/75

Step-by-step explanation:

sin = opposite side / hypotenuse

sin = adjacent side / hypotenuse

14. 10th
term of arthmetic
Sequence is 32 more than 7th term.If the first term is -14
find the 2nd term of the sequence​

Answers

Answer:

5

Step-by-step explanation:

1

I need help ASAP rn please 6th grade math btw

Answers

Answer:

first

Step-by-step explanation:

A= r*pi*r = pi*r²

Answer:

A.

Step-by-step explanation:

The rearranged segments form a rectangle with length (pi)r and width r.

A = LW

A = (pi)r * r

A = (pi)r^2

Answer: A.

if it is correct i will mark as brainlist or i will report​

Answers

Answer: x2 - 6

Step-by-step explanation: Your welcome :)))

Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15

Answers

Answer:

1st

Step-by-step explanation:

You need to add the numbers and then dicuvde by how many numbers are there.

Answer:

16

Step-by-step explanation:

"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.

16 + 14 + 14 + 21 + 15 = 80

80 ÷ 5 = 16

What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25

Answers

The answer is C
The X is multiplied by 2.5 to get Y
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