1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
3 years ago
15

Martha estimated there were 96 marbles in a jar for a contest. The actual number of marbles in the jar was 118. What was the per

cent error of Martha's estimation?
Mathematics
1 answer:
matrenka [14]3 years ago
3 0
To find percent error, you subtract the actual number from your estimate, take the absolute value, and divide by the actual number.

l 96 - 118 l
l -22 l
l 22 l
l 22 l / 118
0.19%  (this was rounded)

Hope this helps!
You might be interested in
Jazz buys a bag of lolipops from the store, where each lolipop costs $0.45. She wants to sale them at school and marks up the pr
NeX [460]

Answer:

I see what's happening here

You're face to face with greatness

And it's strange

You don't even know how you feel

It's adorable

It's nice to see that humans never change

Open your eyes, let's begin

Yes it's really me, breathe it in

I know it's a lot, the hair, the bod

When you're staring at a demigod

So what can I say except

You're welcome

For the tide, the sun, the sky

Hey, it's okay, it's okay

You're welcome

I'm just an ordinary demiguy

What can I say except

You're welcome

For the tide, the sun, the sky

Hey, it's okay, it's okay

You're welcome

I'm just an ordinary demiguy

Honestly, I can go on and on

I could explain every natural phenomenon

The tide, the grass, the ground

Oh, that was me I was messing around

I killed a snake, I buried its guts

Sprouted a tree, now you've got coconuts

What's the lesson?

What is the takeaway?

Don't mess with Maui when he's on a breakaway

And the tapestry here in my skin

Is a map of the victories I win

Look where I've been, I make everything happen

Look at that mean mini Maui just tikkity tappin'

Singing and scratchin'

Flipping and snappin'

People are clappin', hearing me rappin'

And bring the chorus back in

Well anyway, let me say you're welcome

For the wonderful world you know

Hey, it's okay, it's okay

You're welcome

Well, come to think of it, I gotta go

Hey, it's your day to say

You're welcome

'Cause I'm gonna need that boat

I'm sailing away, away

You're welcome

'Cause Maui's the ultimate guy

You're welcome!

You're welcome!

Step-by-step explanation:

4 0
2 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0
3 years ago
The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
2 years ago
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T
lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0
2 years ago
In a survey of 300 voters, 68 said they voted for Candidate A. How many votes can Candidate A expect to receive if the populatio
tamaranim1 [39]
Hello, I believe the answer is 2,244
7 0
3 years ago
Other questions:
  • X+y=7<br> -x+y=-5<br><br> Quero a equação pelo método de adição, rápido u.u
    10·1 answer
  • 5. 3x-X-7=3 6.3x-3-X=3 7. -1 - 2x +3x=5 8. 3x - 22 - X=6 9. 2x+3x-10=10
    12·1 answer
  • If you earn $600 per month at your part-time job, and save 75% of that, how much
    15·2 answers
  • Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope
    13·1 answer
  • ☆pls help no one has helped me and I'm so confused! ​
    5·1 answer
  • Please answer this question I can't see to figure it out.
    13·2 answers
  • Can somebody please help me with this.!
    8·2 answers
  • the temperature is dropping -3.75 degrees per hour. how many hours will the temperature drop for 4.5 hours
    7·2 answers
  • I’m going to continue using up all my points
    10·2 answers
  • 1/5c= 2 (whole number) 1/2
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!