The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?

Answers

Answer 1

Answer: 27

Step-by-step explanation:

Set the age of the person who entered the room as x

[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]

Answer 2

Answer:

27 years old

Step-by-step explanation:

There are originally 5 people in the room.

Their ages are: 16, 25, 23, 12, 17

The sum of their ages is: 93

One person enters the room. That person's age is unknown, so we call it x.

The sum of the ages of the 6 people is:

x + 93

There are 6 people in the room now, so the mean age is (total age divided by number of people):

(x + 93)/6

We are told the mean age is 20.

(x + 93)/6 = 20

x + 93 = 120

x = 27

Answer: 27 years old


Related Questions

Help pls will give brainliest

Answers

Answer:

hello,

answer C

Step-by-step explanation:

area of the rectangle=2b*b=2b²

area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]

Area in blue= 2b²-πc²/8

What is the range of the function?

Answers

Answer:

all real numbers greater than or equal to 11

125 + (a-b)³ help me​

Answers

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

I need help I don't understand it.

Answers

These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.

So,

8x - 12 = 6x + 8

=> 8x - 6x = 8 + 12

=> 2x = 20

=> x = 20/2

=> x = 10

So, the value of x is 10.

8x-12=6x+88x-6x=8+122x=20x=20÷2x=10

please mark this answer as brainlist

please answer fast urgent ​

Answers

16 years til it has 4x

You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use

Answers

Answer and explanation:

Assume Almond is a

Cashew is c

Peanuts is p

The system of equations satisfies this thus:

a+c+p= 10

7a+5c+2p= $20

The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.

Please find the missing number for this surface answer! I will mark brainiest if correct! 1.

Answers

Answer:

2

Step-by-step explanation:

[tex](2 * 6x) + (2 * 7x) + (2 * (6 * 7)) = 136[/tex]

[tex]12x + 14x + (2 * 42) = 136[/tex]

[tex]12x + 14x + 84 = 136[/tex]

[tex]12x + 14x = 136 - 84[/tex]

[tex]26x = 52[/tex]

[tex]x = 2[/tex]

In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used

Answers

Answer:

Stratified sampling

Step-by-step explanation:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Divided by groups(according to age)

A certain amount of each group is sampled.

Thus, stratified sampling is used.

The number of home runs scored by teams in the Brooksfield baseball league are
normally distributed and have a mean of 94 and a standard deviation of 8. What
percentage of the teams have scored more than 102 home runs?

Answers

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22

Answers

Answer:

A. 18

Step-by-step explanation:

the equation :

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18

If the length of FR is 16 units then the length of PR is 18 units which is option A.

What is circle?

Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.

How to find length?

From the rule of tangents and point outside the circle we can say that,

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18 units

Hence if the length of FR is 16 units then the length of PR is 10 units.

Learn more about circle at https://brainly.com/question/24375372

#SPJ2

If f(x) = [x]-5, what is f(8.6)?
O 3
O 4
O 8
O 9

Answers

Answer:

if the question wants you to round. the answer is 4.

Step-by-step explanation:

f(x)=[x]-5

where x= 8.6

substitute 8.6 for x and you have 8.6-5= 3.6= 4

grafique la recta que pasa por el punto (-2,4) y tiene pendiente m= -2/3

Answers

Hagshavsajsvgsvdiabe

please help 15 points (picture)

Answers

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

find the value of x give reasons to justify your solutions b ∈ ac, d ∈

help asap please!! will award brainliest

Answers

Answer:

x = 27°

Step-by-step explanation:

180° - 72° = 108°

108° / 4 = 27°

72° + (27° * 4) = 180°

Hope it helps!

create another show real life multi-step function problems with Solutions in quadratics​

Answers

Answer:

Kazan also SOS jz zks zj sj aka always zks. aiwow

10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches

Answers

Answer:

110.5 cubic inches

Step-by-step explanation:

Base is parallelogram, so area is

A = 4.7×5 = 23.5

Height(h) is 4.7, so volume is,

V = A×h

= 23.5×4.7

= 110.45 ≈ 110.5

Answered by GAUTHMATH

please help ASAP geometry

Answers

Answer:

A' (-6,12)

B' (9,9)

C' (-3,0)

Answered by GAUTHMATH

Write an
equation
in slope y-intercept form B(-4,-3),m =Undefined

Answers

Answer:

x=-3

Step-by-step explanation:

The receipt shows the prices of goods that Mr. Baker bought at the store.
The state Mr. Baker lives in has a sales tax rate of 7% on all purchases.

How much money does Mr. Baker pay in sales tax and what is the total amount he must pay for his purchases?

Answers

Answer:

The answer is $82.46 sales tax

$1,260.46 Total

Step-by-step explanation:

Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46

$750x.07= $52.50
+
$329x.07=$23.03
+
$99x.07=$6.93
=
$82.46

1,178+82.46=
$1,260.46

Select the best answer to describe the parabola

Answers

Positive parabola that has a minimum.

It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.

Find the length of x. Assume the triangles are similar.

A. 25
B. 12
C. 20
D. 19

Answers

Answer:

C=20

Step-by-step explanation:

The value of x is 20. so option C is correct.

What are corresponding sides?

In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.

For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.

Find the length of x. Let Assume the triangles are similar.

x/ 12 = 10/ 6

Cross multiplication;

x/ 12 = 10/ 6

x = 12 ( 10/ 6)

x = 20

Hence, the value of x is 20. so option C is correct.

Learn more about similar figure;

https://brainly.com/question/25187489

#SPJ5

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

Answers

Answer:

240

Step-by-step explanation:

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

Answer:

240 Tabletops

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

39.401

Step-by-step explanation:

chứng minh mệnh đề sau bằng phương pháp phản chứng:
" Nếu phương trình bậc hai ax2+bx+c=0 vô nghiệm thì a và c cùng dấu"

Answers

Answer:

Which language is this ?????

Instructions: Find the missing side. Round your answer to the nearest
tenth.
63°
19
х
X =

Answers

Answer:

x = 37.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 63 = x /19

19 tan 63 =x

x=37.28959

To the nearest tenth

x = 37.3

Factor the greatest common factor. 5xy4-20x2y3

Answers

Answer:

Step-by-step explanation:

The greatest common factor of 5 and -20 is 5

x: the greatest common factor is x

y: the greatest common factor is y^3

Answer: 5xy^3(y - 4x)

Analyzing the
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
х
f(x)
01
-3
-15
-2
0
f(x) > 0 over the interval (- 3).
f(x) < 0 over the interval [0, 2].
f(x) < 0 over the interval (-1, 1).
f(x) > 0 over the interval (-2, 0).
f(x) > 0 over the interval [2, o).
-1
3
0
0
1
-3
2
0
3
15

Answers

Answer:

1 NO

2 YES

3 NO

4 YES

5 ÝE

Step-by-step explanation:

The true statements about the continuous function are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, )

What are the correct intervals of the continuous function?

Functions in Math's are used to show relationships between variables.

Next, let us test the given options;

(A) f(x) > 0 over the interval (-∞, 3).

Using the table of f(x), the values in (-∞, 3) are values less than 3; i.e. -3 to 2.

If f(2) = 0, then f(x) > 0 is not true

(B) f(x) ≤ 0 over the interval [0, 2].

The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.

If f(0) = 0, f(1) = -3 and f(2) = 0

Then, f(x) ≤ 0

(c) f(x) < 0 over the interval (−1, 1).

Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0

If f(0) = 0, then f(x) < 0 is not true

(d) f(x) > 0 over the interval (–2, 0).

Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1

If f(-1) = 3, then f(x) > 0 is true

(e) f(x) ≥ 0 over the interval [2, ∞)

Using the table of f(x), the values in [2, ) are values from 2; i.e. 2 and 3

If f(2) = 0 and f(3) = 15, then f(x) ≥ 0  is true

Finally, the true statements are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, ∞]

Read more about intervals of continuous functions at; https://brainly.com/question/11803482

form a polynomial whose factors are (x+1) , (x+2) and (x-3)​

Answers

Answer:

x³-7x-6

Step-by-step explanation:

Find the products of the factors

(x+1)(x+2)(x-3)

x²+3x+2(x-3)

x³+3x²+2x-3x²-9x-6

x³-7x-6

What is the equation of the line that passes through (-12,6) and (-6,1)?

Answers

To find the equation, find the slope. To find the slope find the change in y/ change in x.

(1-6)/(-6+12)= -5/6

Then use the equation, y=mx+b, to solve for y int. First, substitute the slope in for m, and then choose a coordinate to substitute for y and x.

1=-5/6(-6)+b
1=5+b
-4=b

y=-5/6x-4 is the equation of the line.


GIVING BRAINLIEST TO CORRECT ANSWERS

Answers

Answer:

b is the correct answer

Step-by-step explanation:

Other Questions
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced? Assertion: Atomic mass of aluminium is 27 Reason: An atom of aluminium is 27 times heavier than 1 / 12th of the mass of the C 12 atoms. Can someone pls give an example of networking in their own life experience. If at all you don't have any , you can include an example of what you want to do The refractive index of water is 1.33and that of diamond is 2.42. Draw a labelled diagram to show how a light ray bends when it travels from waterinto diamond. breaking larger molecules into smaller molecules and carbon If two triangles are congruent, which of the following statements must betrue? Check all that apply.A. The corresponding sides of the triangles are congruent.B. The triangles have the same shape.DC. The triangles have the same size.D. The corresponding angles of the triangles are congruent. Chocolate beans are packed in 250 g and 750 g packages. The number of 250 g packages and 750 g packages are in the ratio 1 : 2. If two of the 750 g packages are replaced into 250 g packages, then the ratio becomes 5 : 3. Finda) the original number of 250 g packages,b) the total mass of the chocolate beans. People who want to obtain from financial institutions can use their rights to do so. Plz tell me how to do question 18 The height h, in feet, of a projectile t seconds after launch is modeled by the equation h=32t-16t^2. Please show work. The way that you solve for surface area and vol confuse me. Please help me factorise these and expand these brackets Please help me fill in the blanks using the present tense of the verbs in parentheses. Some verbs are regular, some irregular, and some stem-changing?1. Nosotros _(conservar) los recursos naturales.2. Ellas _ (reciclar) las botellas de plstico.3. Yo _(escribir) cartas a los gobernantes.4. T _(volver) a casa a las ocho normalmente.5. Ella _(dormir) tranquilamente.6. Nosotros _(pedir) ayuda.7. Sara y Luis _(pedir) ayuda econmica.8. Yo _(conocer) a muchas personas famosas.9. T _(tener) veinte aos.10. Juan _(ir) al mercado.11. Yo _(escoger) vivir responsablemente.12. Pablo _(preferir) estudiar en casa.13. T _(decir) la verdad.14. Nosotros _(bailar) en la discoteca.15. Yo _(estar) seguro. Hydrocarbons do not dissolve in concentrated sulfuric acid, but methyl benzoate does. Explain this difference and write an equation showing the ions that are produced. During the reaction of 2-methyl-2-butanol with the nucleophile-solvent mixture two layers are formed after shaking the reaction for 5 minutes. After removing the aqueous layer with a Pasteur pipette the organic layer is diluted with 1 mL dichloromethane. The organic phase is washed with 1 mL water. Two layers are obtained.a. Top layer is Aqueous (H20/ H2SO4/NH4CI) b. Top layer is Organic (CH2Cl2 and product) c. Bottom layer is Organic (CH2Cl and product) d. Top layer is Aqueous (H20) How many different arrangements of 5 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?There are ___ different 5-letter combinations that can be formed.(Simplify your answer.) II. Put the verb into either the gerund (-ing) or the infinitive (with 'to'): 1) I don't fancy ......................... (go) out tonight.2) She avoided (tell)............................. him about her plans.3) I would like .......................... (come) to the party with you.4) He enjoys .............................. (have) a bath in the evening.5) She kept .............................. (talk) during the film6) I am learning (speak) ............................... English.7) Do you mind (give)............................ me a hand?8) She helped me (carry)......................... my suitcases.9) I've finished ............................... (cook) - come and eat!10) He decided (study) ............................ biology.11) I dislike.............................. (wait).12) He asked (come) ................................. with us.13) I promise (help) ................................. you tomorrow.14) She agreed (bring) ........................... the pudding to the dinner.15) We hope (visit).......................... Amsterdam next month.16) She suggested (go) ............................... to the museum.17) They plan (start) ................................ college in the autumn.18) I don't want (leave) ..................................... yet. Identify the true statements regarding hydrogen bonding. Select all that apply. Group of answer choices Hydrogen bonding occurs when a hydrogen atom is covalently bonded to an N, O, or F atom. which inequality is represented on the number line shown? what's the formula of(a+b) = ?