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
Anna007 [38]
3 years ago
6

Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the n

umber of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Given:

Daniela gives away some of her marbles every day for five days.

Each day, she has \dfrac{1}{4} the number of marbles she had a previous day.

To find:

The fraction of the original number of marbles Daniela have left after five days.

Solution:

Let the origin number of marble be x.

Number of marbles after one day = \dfrac{1}{4}x

Number of marbles after two days = \dfrac{1}{4}(\dfrac{1}{4}x)

                                                        = (\dfrac{1}{4})^2x

Similarly,

Number of marbles after three days = (\dfrac{1}{4})^3x

Number of marbles after four days = (\dfrac{1}{4})^4x

Number of marbles after five days = (\dfrac{1}{4})^5x

                                                         = \dfrac{1}{1024}x

Since, \dfrac{1}{1024} is multiplied with x, therefore, the number of marbles Daniela have left after five days is \dfrac{1}{1024} part of original number of marbles.

You might be interested in
Simplify the expression. 3x-9y-5x-7y
emmasim [6.3K]
3x - 9y - 5x - 7y

Combine like terms

( 3x + - 5x ) + ( - 9y + - 7y )

= - 2x - 16y
5 0
3 years ago
Read 2 more answers
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
3 years ago
GIVING BRAINLIEST what is 97 - 56 + 12
quester [9]

Answer:

53

Step-by-step explanation:

When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

8 0
3 years ago
Read 2 more answers
How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)
kaheart [24]
Set the whole expression = to 0 and solve for x.

3x^(5/3) - 4x^(7/3) = 0.  Factor out x^(5/3):     x^(5/3) [3 - 4x^(2/3)] = 0

Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.

In the latter case, 4x^(2/3) = 3. 

To solve this:  mult. both sides by x^(-2/3).  Then we have

4x^(2/3)x^(-2/3) = 3x^(-2/3),            or 4 = 3x^(-2/3).  It'd be easier to work with this if we rewrote it as

4           3
---  = --------------------
1            x^(+2/3)

Then 

4
---  = x^(-2/3).  Then, x^(2/3) = (3/4), and x = (3/4)^(3/2).  According to my     3                      calculator, that comes out to x = 0.65 (approx.)

Check this result!  subst. 0.65 for x in the given equation.  Is the equation then true?

My method here was a bit roundabout, and longer than it should have been.  Can you think of a more elegant (and shorter) solution?
7 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what
Nikitich [7]
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

5 0
3 years ago
Other questions:
  • A normal probability/quantile plot is used to see if the distribution of a quantitative variable follows a __________ distributi
    6·1 answer
  • There are less than 50 students in the class. Today, only 97.5% of the class is here. How many students are in this class?
    11·1 answer
  • The volume of a model of a puzzle cube is 110,592 cubic inches. It is made up of 27 smaller cubes. What is the length of one sid
    12·1 answer
  • Can someone help me or is this website a waste of time
    7·1 answer
  • workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck. According to their inventory, they st
    7·1 answer
  • Look at the pic this is 8th grade math
    5·1 answer
  • Arrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the m
    9·1 answer
  • Giving 25 points if you answer correctly. Please help thank you
    14·1 answer
  • Compare the rates to find which is greater.<br> 50 envelopes for $2.49 or<br> 90 envelopes for $5.50
    7·1 answer
  • A) y=5x +70<br><br><br> B) y = 0.2x + 650<br><br><br> C) y = 0.5x + 700<br><br><br> D)y=0.75x + 500
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!