The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?

Answers

Answer 1

13 years

Step-by-step explanation:

17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2

Mean before was 20.2

In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19

114 / 6 = 19

114-101 = 13 is that number

17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19


Related Questions






































Find the volume of the composite solid.

Answers

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

Somebody please help! And show your work!

Answers

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?

Answers

Answer:

90

Step-by-step explanation:

140-50

this is because the band took 50 and got 140 to remove 50 from 140

which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16

Answers

Answer:

- 7, 0.9, 8.5, 16

Step-by-step explanation:

It should be that x must be greater than - 12, so let us consider all options;

[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]

Let us substitute x as each of these values;

[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]

As you can tell, the last 4 Options are applicable;

Solution ⇒ - 7, 0.9, 8.5, 16

The solutions to inequality are - 7, 0.9, 8.5, and 16.

What is inequality?

In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.

What are the 5 types of inequality math?

greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).

Learn more about inequality here https://brainly.com/question/11613554

#SPJ2

Line segment OC splits AOB into two angles. Find AOC, if AOB = 155 degree, and m COB is 15 degrees less than m AOC.

Answers

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is

155 - 15 = 140 degrees

Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is

Angle AOC + 140 + 155 = 360

Angle AOC + 295 = 360

Angle AOC = 360 - 295 = 65 degrees

How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST

Answers

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?

Answers

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?

Answers

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Does anyone know the answer ?

Answers

Answer:

3.75

Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x

What is the range of the function below?

Answers

Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The answer is b

A.) 10.9
B.) 8.6
C.) 7.3

Answers

Answer:

Option (c) 7.3

Step-by-step explanation:

Since is forms a right angled traingle,

a= 3+4= 7

b = 4-2= 2

c = AB

Pythagorean theorem:

a^2+b^2 = c^2

So since we know a and B but the hypotenuse (c) is missing

7^2 + 2^2 = c^2

c^2 = 49+4

= 53

c = √53

= 7.28 rounded off to 7.3

So the length of hypotenuse or c is 7.3 units

Therefore, the length is 7.3

please help me asap​

Answers

Answer:

that's the lowest term actually

Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:

5x+y=5
10x+3y=20

Answers

Answer:

x=-1 and y=10

Step-by-step explanation:

-3(5x+y=5)

10x+3y=20

-15x-3y=-15

10x+3y=20

10x-15x+3y-3y=20-15

-5x=5

x=-1

5x+y=5

(-1)5+y=5

-5+y=5

y=10

There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.

Answers

2:3
Let me know if you want an explanation for it

Use the Law of Sines to complete an expression that represents the angle measure x.

Answers

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

[Law of Sines] Substitute in variables:
[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry

what is the value of this expression when c=4 c^3/2

Answers

Answer:

8

Step-by-step explanation:

c ^ 3/2

Let c = 4

4 ^ 3/2

Rewriting 4 as 2^2

2 ^2 ^3/2

We know that a^b^c = a^(b*c)

2 ^(2*3/2)

2 ^3

8

the right answer is 8.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment....

What is the square root of 24 to the 16th power

Answers

Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

We know that a^b^c = a^ (b*c)

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

([tex]\sqrt{24}[/tex] )¹⁶

√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]

then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5

Answers

To find the mean, you add up all the values and divide by how many there is. So... excluding Kim’s score there are 7 students scores. Now add all the scores up which will give you 611. 611/7 = 87.286

That will give you B

Hope this helps! :)

Answer:

87.2

Step-by-step explanation:

90+93+87+83+86+90+82=611

611/7=87.29

answer is b

x=12-1//3x
can anyone tell me the full answer

Answers

Answer:

x=9 is the answer......

cuba is famous of which crop​

Answers

Sugarcane is Cuba’s famous crop. It is grown throughout the island, but mainly in the eastern half.

Find the slope of the line will mark as brain
y
=
–9
4
x

1
4
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer negative 9 is the answer

Step-by-step explanation:

EASY question for y’all mathy people, easy points! Question in photo.

Answers

I think the answer is D

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

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

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

true or false ? why and why not ?


8a - (8a - 8) is equivalent to 8

Answers

Answer:

True

Step-by-step explanation:

Apply the distributive property

8a-(8a)- -8

Multiply 8 by -1

8a-8a- -8

Multiply -1 by -8

8a-8a+8

Simplify by adding terms

Subtract 8a from 8a

0+8

Add 0 and 8

8

Hope this helps :)

30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of consumers who prefer to purchase electronics online is a exactly 5 be more than 5 &c at most 5

Answers

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school

Answers

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ____. Select one: a. Supplementary Angles are congruent b. All right angles are congruent c. Complementary Angles are congruent

Answers

Answer:

(B)All right angles are congruent

Step-by-step explanation:

Given that:

[tex]\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E[/tex]

The reason for this congruency is that both are right angles and in fact, all right angles are congruent.

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

625

Step-by-step explanation:

The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.

PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6

Answers

Answer:

4

Step-by-step explanation:

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

sin theta = opp / hyp

sin 45 = s / 4 sqrt(2)

Multiply each side by 4 sqrt(2)

4 sqrt(2) *sin 45 = s

4 sqrt(2) * 1/ sqrt(2) =s

4

identify the domain of the function shown in the graph.

A. x is all real numbers
B. 0<x<5
C. -5<x<5
D. x>0​

Answers

Answer:

A, all real numbers

Step-by-step explanation:

The domain is the x value and the x value is the domain.

So when you take a look at the x values, it keeps going on and on

So when x values or y values keep going on forever we call that all real numbers

Hope this helps! Plz mark brainliest!

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