Suppose there are 20 people in a room and the mean amount of cash held by these 20 people is $14.50 per person. If two people enter the room carrying $4.00 and $5.00 respectively, what does the mean amount of cash in the room become? Give your answer in dollars and cents; that is, precise to two decimal places.

Answers

Answer 1

Answer:

13.59

Step-by-step explanation:

The calculation of amount of cash in the room is shown below:-

[tex]\$14.50 = \frac{\Sigma xi}{20}[/tex]

= 20 × $14.50

= $290

Now, the new sum is

= ∑xi + $4.00 + $5.00

= $290 + $4.00 + $5.00

= $299

Total person in the room is

= 20 + 2

= 22

So,

Mean amount of cash in the room = New sum ÷ Total person in the room

= $299 ÷ 22

= 13.59


Related Questions

b) Solve the equation 2x² + 7x-8 = 0
Give each value correct to 2 decimal places.​

Answers

Answer:

x = 0.907, -4.41

Step-by-step explanation:

* i rounded up on the second value btw*

Write ninety-four and thirty-nine hundredths as a decimal number.

Answers

Answer:

94.39

Step-by-step explanation:

Answer:

94.39

Step-by-step explanation:

ninety-four and thirty-nine hundredths

ninety = 90

four = 4

and = .

thirty = 30

nine = 9

94.39

3x + 4 = 5x - 2 pleaseeee quick

Answers

Answer:

jejdjdjdmrmrmmememe

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-4-(5*x-2)=0

Step by step solution :

STEP 1 Pull out like factors :

-2x - 2 = -2 • (x + 1)

STEP 2

Equations which are never true

Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve : x+1 = 0

Subtract 1 from both sides of the equation :

x = -1

One solution was found :

x = -1

solve 40% of 70 using percentage diagrams.
Percentage diagram example below:

Answers

The solution is 70*40%= 28 Hope it helps!

Pls help asap Its due in 10 min pls help

Answers

The answer is B, Decrease of 72.

Explain the law of Syllogism.​

Answers

The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c. ... If they are true, then statement 3 must be the valid conclusion.Answer:

Step-by-step explanation:

Suppose we need at least 6 apples to make a plate of apple pie. If we have 36 apples, how many plates of apple pie can we make?

Answers

Answer:

6 pies

36/6=6

Hope this helps

Find the quotient. The answer must be a proper fraction simplest form.
4 13 ÷ −3 16

Answers

Answer:

5 or 5/1

Step-by-step explanation:

did the math, this is the result. Not sure if it's right, correct me if I'm wrong

Can someone help me please

Answers

Answer:

14

Step-by-step explanation:

Answer:

14 + 11 + 2 = 27

Step-by-step explanation:

x
10
Z
20
find x y and z

Answers

Answer:

y is 30

Step-by-step explanation:

A roller skating offers a special rate for birthday parties. On the same day, a party for 10 skates cost $107 and a party for 15 skaters cost $137.
A) write a linear equation in point-slope form.
B) Find the cost of 12 skaters.

Answers

Answer:

128

Step-by-step explanation:

137-107/15-10

M=7.4 or 7

Equation using (10,107)

Y-107=7(x-10)

Substitute 12 for x

Y-107=7(12-9)

Simplify the right side

Y-107 = 21

Solve for y

Y-107+107= 21+107

Y=128

A party For 12 skaters would cost $128

Hope this helps

Solve the equation for 2.
X
B

Somebody please help me

Answers

Answer:

x = g(b) + 5

Step-by-step explanation:

x/b - 5 = g

solve for x

x - 5 = g (b)

x = g(b) + 5

First u have to bring 5 to opposite side and sign is changed then cross multiply

Identify the slope.
y = 23/25X + 11

Answers

Answer:

y=23X/25+11

Step-by-step explanation:

If this helps may I plz have brainliest :)

23/25

Why:
M=slope
The equation is in the form y=mx+b
So...
M=23/25
B=11

Therefore 23/25 is the slope.

I just need help with this for my homework. Thank you :)


What is the image point of (-6,9)(−6,9) after a translation left 4 units and down 1 unit?

Answers

Answer:

( -10,8)

Step-by-step explanation:

(-6,9)

Shifting 4 units left means subtract 4 from the x coordinate

(-6-4,9)

Shifting 1 unit down means subtract 1 from the y coordiant

(-6-4,9-1)

( -10,8)

Answer:

(-10, 8)

Step-by-step explanation:

A translation left 4 units and down 1 unit would be described algebraically as:

[tex](x,y)\rightarrow(x-4,y-1)[/tex]

Apply rule to (-6,9):

[tex](-6,9)\rightarrow(-6-4,9-1)\rightarrow(-10,8)[/tex]

The image after the translation should be (-10, 8).

Hope this helps.

Nicholas's sand castle is 30 cm tall and he is adding sand at a rate of 12 cm per minute. Nina's sand castle is 78 cm tall and she is adding more sand to it at a rate of 6 cm per minute. After how many minutes, x, will Nina and Nicholas's sand castles be the same height?

Answers

Answer:

8 minutes

Step-by-step explanation:

Speed or Rate = Distance / time

Distance = Speed × time

Nicholas's sand castle is 30 cm tall and he is adding sand at a rate of 12 cm per minute.

Nicholas = Nina

30cm + (12cm/min)x

= 30 + 12x

Nina's sand castle is 78 cm tall and she is adding more sand to it at a rate of 6 cm per minute.

78cm + (6cm/min)x

78 + 6x

30 + 12x = 78 + 6x

12x - 6x = 78 - 30

6x = 48

x = 48/6

x = 8 minutes

Therefore, after 8 minutes, Nina and Nicholas's sand castles be the same height.

If you bought a stock last year for a price of $90, and it has gone down 13% since then, how much is the stock worth now, to the nearest cent?

Answers

Answer:

It is now $109.62. You would multiply .13 (13%) by 126 which would give you 16.38. You would then subtract 126-16.38 to get 109.62.

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

Answer:

$78.30

Step-by-step explanation:

13% of 90 is 11.7, 90 - 11.7 = 78.3, therefore our answer is $78.30

I hope this helped, please mark Brainliest, thank you!

you buy a sandwich for $2.95, an apple for $0.85, and a bottle of juice for $1.05. What is the total cost?

Answers

Answer:

$4.85

Step-by-step explanation:

Add the numbers:

2.95

1.05

0.85

4.85

What are the slope and the y-intercept of the linear function that is represented by the equation Y = 9x-27
The slope is -2, and the y-intercept is 9.
The slope is 2, and the y-intercept is 9.
The slope is 9, and the y-intercept is -2
The slope is 9, and the y-intercept is 2.

Answers

Answer:

none of these are correct. The slope would be 9 and y-intercept would be -27

Answer: it's c

Step-by-step explanation: I got it right on edge 2022!


Two equal forces, the magnitude of each of them is 6 N. , the magnitude of
their resultant is 6 N. , then the angle between them equals

Answers

Answer:

The angle between both forces is equal to 120°.

Step-by-step explanation:

Net Force

The net force between two or more forces is determined by adding their vector representation.

We have two forces of 6 N each but applied to an object at different angles. The resulting force should be of magnitude 6 N, as required by the question.

Please refer to the image where both forces F are applied at an angle θ with respect to the vertical. For the total force to have a magnitude of F, the vertical component of one of them must be F/2 as shown in the diagram.

The angle formed by this configuration must comply with the trigonometric ratios in the rectangle triangle.

[tex]\displaystyle \cos\theta=\frac{F/2}{F}=\frac{1}{2}[/tex]

The angle is θ = 60° which makes the angle between both forces be equal to 120°.

1. Use both methods to find the distance between the points on the number line.
Method A: Count the number of units between the points.
Method B: Take the absolute value of the difference of the two numbers.

Answer:
Method B- Show your work for each step
Step 1 (Write it as a subtraction problem using distance formula)=

Step 2 (Rewrite it is as an addition problem)=


Step 3 Solve (distance between the 2 points) =

(PLEASE HELP 40 PTS AND BRAINLIEST)

Answers

Answer:

Step-by-step explanation:

Okay Im going off of my work because we did some in class and then the rest by ourselves but i turned mine in yesterday but didnt recieve a grade yet but i hope these help you...

The number number line it is seven units apart.

The absolute value larger number smaller number would be 2 - (-5). So what you do with that is keep the 2 change the subtraction sign to plus sign and change the negative 5 to positive 5. So your answer would be 7.

And smaller number to larger number would be -5 - 2. And then you do the same steps as the last one. Keep the negative five, change the subtraction sign to addition sign and make the two  negative. And that answer would be -7

2. For the number two problem you would plot the robins nest just below the top of the verticle line. the red squirrel den would be right next to the zero but a tad up. And the groundhog burrow would be below the zero mark and a little before the end of the verticle line.

Next, for groundhog burrow to red squirrel den you put the number 0.3-(-1.2)=1.5    Red squirrel den to Robin’s nest 3.6 – 0.3 = 3.3. And for the last one Groundhog burrow to Robin’s nest 3.6 – (-1.2) = 4.8.

3. you have to turn the 1 1/2 and 3/4 into 8ths. 1/2= 3*4 = 12 and for the denominator 2*4 = 8. So 12/8.

The next one is 3*2 which is 6 and 4*2=8

so now you have 12/8, 6/8, and 1/8

you have to add the points on the chart (i cant really help you on this part because i do not know how to upload picture) but you would make 24 and then you find where 12/8 would go and draw the hops but on mine the hop looks like how you would draw a rainbow but just one for the 12. Then do the same for the 6 and add 1 for the last one to make 19.

On mine I add the 12 + 6 + 1 = 19 so that is how i got mine. (sry if this a bad explination)

it should kinda look like this on the chart.

| | | | | | | | | | | | | | | | | | | | | | | | they should be spaced apart like this.

and for the last one i put cup 3 because it bigger than the amount of ingrident in the recipe. (im not sure if that one was the answer this is the only part we didnt get help on in class)

Step-by-step explanation:

Method B

(Step 1) | 19 - (-12) |

(Step 2) | 19 + 12|

(Step 3) | 31 | = 31

Help ASAP!! Find The Measure Of The indicated Angle In The Diagram.

Answers

Answer:

136 :)

Step-by-step explanation:

112 + 24 = 135

180 - 136 = 44

180 - 44 = 136

Answer:

Step-by-step explanation:You know that all angles in a triangle add to 180 degrees. So you do:

112+24= 136

Then,

180-136= 44

44 is the angle ont the other side of the question mark. So we know that 44 and the unkown angle add to 180, So,

180-44= 136

So the unknown angle is 36.

How to mark .874 in a graph (picture needed)

Answers

Answer:

you would need to make sure that the line does not touch the 1 mark, but near it. On a digital graph(TI84) you would press 2nd graph

Step-by-step explanation:

Did it

645.059 rounded to the nearest tenth

Answers

Answer:

645.1

Step-by-step explanation:

5 hundreths round up to 1 tenth

Helloppppppppp pleaseeeeee !!!!!?!!????????

Answers

Answer:

20°

Step-by-step explanation:

C70° vertically opposite... the alternate then vertically opposite again then 90° - 70° = 20°

the graphs of f(x) and g(x)= f(x)+k are shown below. the value of k is ____​

Answers

Answer:

The value of k is 2

Step-by-step explanation:

The rule of vertical translation

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  ⇒ subtract y-coordinate of every point by k

From the graph

∵ Point (0, 0) ∈ f(x)

∵ Point (0, 2) ∈ g(x)

∵ Point (2, 4) ∈ f(x)

∵ Point (2, 6) ∈ g(x)

Each y-coordinates of the points on f(x) added by 2 on g(x)

→ That means f(x) is translated up 2 units

∴ f(x) is translated up by 2 units

By using the first rule above

∴ g(x) = f(x) + 2

∵ g(x) = f(x) + k

∴ k = 2

The value of k is 2

Which of these is NOT a function ?

Answers

Answer:

A

Step-by-step explanation:

it fails the vertical line test

Answer: A

Step-by-step explanation: The easiest way to determine

if a relation is a function is to use the vertical line test.

The vertical line test tells us that if we can draw a vertical line

that intersects more than one point on the graph of a relation,

then the relation is not a function.

In this case, the only graph that is not a function is A.

If we draw a vertical line on the graph, it's possible that

the lie will hit two points on the graph telling us that it's not a function.

The height h in feet of an object t seconds after it is dropped can be modeled by the quadratic equation h=-16t^2+h0, where h0 is the initial height of the object. Solve the equation h=-16t^2+255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

Answers

Answer:

The rock will take approximately 3.992 seconds to reach the canyon floor.

Step-by-step explanation:

For all [tex]a\cdot t^{2}+b\cdot t + c = 0[/tex], its roots are determined by the Quadratic Formula:

[tex]t = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

In this case, it corresponds to instants when rock is either launched or hits the floor. If we know that [tex]a = -16[/tex], [tex]b = 0[/tex] and [tex]c = 255[/tex], the time it takes the rock to reach the canyon floor is:

[tex]t = \frac{-0\pm\sqrt{(0)^{2}-4\cdot (-16)\cdot (255)}}{2\cdot (-16)}[/tex]

[tex]t \approx 3.992\,s[/tex]

The rock will take approximately 3.992 seconds to reach the canyon floor.

Is 4.78778777 a rational or irrational number?

Answers

It is an irrational number

Answer:

Rational number

Step-by-step explanation:

It is a rational number as it ends

If there were dash dash after number then it will be irrational...

Hope it helps

Please mark as brainliest


Dolly borrows $80,000 to purchase a car. The
interest rate is at 9%. She plans to pay this
money back after 2 years. Calculate the simple
interest?

Answers

Answer:

Interest is $14,400

Step-by-step explanation:

I = Prt

I = (80,000)(0.09)(2)

I = 14,400

help me plz thanks you

Answers

Answer:

$0.11 eleven cents

Step-by-step explanation:

28.16/256=0.11

0.11 or eleven cents
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