Given:
Daniela gives away some of her marbles every day for five days.
Each day, she has [tex]\dfrac{1}{4}[/tex] 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 = [tex]\dfrac{1}{4}x[/tex]
Number of marbles after two days = [tex]\dfrac{1}{4}(\dfrac{1}{4}x)[/tex]
= [tex](\dfrac{1}{4})^2x[/tex]
Similarly,
Number of marbles after three days = [tex](\dfrac{1}{4})^3x[/tex]
Number of marbles after four days = [tex](\dfrac{1}{4})^4x[/tex]
Number of marbles after five days = [tex](\dfrac{1}{4})^5x[/tex]
= [tex]\dfrac{1}{1024}x[/tex]
Since, [tex]\dfrac{1}{1024}[/tex] is multiplied with x, therefore, the number of marbles Daniela have left after five days is [tex]\dfrac{1}{1024}[/tex] part of original number of marbles.
A party hat is shaped like a cone. Which measurement is closest to the volume in cubic inches. Dimensions are 6 and 9 inches Answer choices are: A: 84.82 B: 339.29 C: 254.47 D: 1,017.88
*see attachment for the diagram of the party hat
Answer:
A: 84.82 in³
Step-by-step explanation:
Given:
Diameter of hat = 6 in
Height of hat = 9 in
Required:
Approximate Volume of the Hat
SOLUTION:
The volume of the hat = volume of cone
Volume of cone = ⅓*πr²h
r = ½ of diameter = 3 in
h = 9 in
Volume = ⅓*π*3²*9
Volume = 84.82 in³
Answer:
It’s 84.82 which is A
Step-by-step explanation:
Which expression is equivalent?
option D is the answer!!
Please mark my answer as the brainliest!
Noah eats 2/3 of an apple in 1/2 of a minute. How much time will it take him to eat a full apple?
Answer:
less than a minute
Step-by-step explanation:
There are 20 questions on the NYS written test to get your driver’s permit. You may answer 6 incorrectly and still pass. What percent of questions do you need to answer correctly?
Solve the system of equations:
6x - 5y = 15
x = y + 3
Answer:
x = 0, y = -3
Step-by-step explanation:
plug in x as y + 3 into the first equation
6(y+3) - 5y = 15
6y+18 - 5y = 15
y = -3
x= 0
Find the difference. 84.28 8:37.
Answer:
NooooOoOoooooo
Step-by-step explanation:
g(r)=-1-7r
g(6)=
I NEED HELP ASAP
Answer:
-43
Step-by-step explanation:
-1-7(6)
-1-42
-43
Dawn has 67 apples and Kim has 43 apples they use 26 apples to make apple pies for the church bake sell how many apples do the have left
Answer:
84
Step-by-step explanation:
67+43=110
110-26=84
According to a recent survey, 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree. A random sample of 50 residents of the state, age 25 years or older, will be selected. Let the random variable B represent the number in the sample who have a bachelor’s degree. What is the probability that B will equal 40 ?
Answer:
The probability of getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.
Step-by-step explanation:
Given that 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree.
Assuming the population of the state aged 25 years or more is Bernoulli's population.
So, when 1 person aged 25 years or more from the state selected randomly, the probability of that person, p, having a bachelor’s degree,
[tex]p= 31/100=0.31\cdots(i)[/tex]
Now, according to Bernoulli's formula, the probability of exactly r success from the total number of sample n is
[tex]P(r)=\binom{n} {r}p^r(1-p)^{n-r}\cdots(ii)[/tex]
where p is the probability of success.
Here, a random sample of 50 residents of the state, age 25 years or older, will be selected.
So, n=50.
Given that variable B represents the number in the sample who have a bachelor’s degree,
We have to find the probability that B will equal 40.
So, r=B= 40.
Now, putting these values in equation(ii) and using p=0.25 from equation (i), we have
[tex]P(r=40)=\binom{50} {40}(0.31)^{40}(1-0.31)^{50-40}[/tex]
[tex]=\frac {50!}{40! (50-40)!}(0.31)^{40}(0.69)^{10} \\\\=\frac {50!}{40! \times 10!}(0.31)^{40}(0.69)^{10} \\\\=0.11\times 10^{-11}[/tex]
So, the probability of getting B=40 is [tex]0.11\times 10^{-11}[/tex] which is negligible.
Using the binomial distribution, it is found that there is a [tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.
-----------------------------
For each resident, there are only two possible outcomes. Either they have a bachelor's degree, or they do not. The probability of a resident having a bachelor degree is independent of any other resident, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
p is the probability of a success on a single trial.
In this problem:
31% have a bachelor's degree, thus [tex]p = 0.31[/tex].Sample of 50, thus [tex]n = 50[/tex].The probability is:
[tex]P(B = 40) = C_{50,40}(0.31)^{40}(0.69)^{10} = 1.13 \times 10^{-12}[/tex]
[tex]1.13 \times 10^{-12}[/tex] probability that B will equal 40.
A similar problem is given at https://brainly.com/question/24863377
PLEASE HELP AND CHECK PHOTO!!
Answer:
Step-by-step explanation:
21/7 = x/4
84=7x
x=12
3:1 is your ratio
s/4 -7 =9
any help solving this question?
Answer:
S=64
Step-by-step explanation:
if the s is what your looking for
Answer:
s=64
Step-by-step explanation:
s/4-7+7=9+7
s/4=16
4s/4=16
The cost of oranges varies directly as the number of oranges sold. If 8 oranges cost $10.40, how many oranges can be bought for $33.80?
PLS HELPP MEE
I WILL MARK BRAINLIEST
Answer:
26
Step-by-step explanation:
if you can get 8 oranges for 10.40 then divide 10.40 by 8. you can get each orange for 1.3. you need to know how many oranges you can get for 33.8 so divide that by 1.3 and you get 26
please construct ABCD with AB=5.5cm, BC=3.5,CD=4cm,AD=5cm and angle A= 45°.
Answer:32
Step-by-step explanation:
What is the best quality guys find in girls... besides their body?
Answer:
smile
Step-by-step explanation:
Which of the following best described the perpendicular cross section of a soup can? Rectangle, circle, triangle, square
Answer:
it would be a rectangle
Step-by-step explanation:
The perpendicular cross-section of a soup can should be considered as the rectangle.
What is a rectangle?A rectangle refer to a 2D shape that consist of 4 sides, 4 corners, and 4 right angles.
Opposite sides of a rectangle shape should contain the same length, with one pair being bigger as compared to the other pair.
Therefore, The perpendicular cross-section of a soup can should be considered as the rectangle.
Learn more about rectangle here: https://brainly.com/question/12406000
Plz help me pls I need help fast
Compré mi despensa en línea (usando la página de un centro comercial) y en total por los productos que adquirí debía pagar $1600, pero me hicieron un cargo extra por envío así que al final me cobraron $1620. ¿Cuál es el porcentaje, de mi compra, que me cobraron por gastos de envío?
Answer:
1.235%
Step-by-step explanation:
Paso 1
Calculamos el costo de envío
= $ 1620 - $ 1600
= $ 20
Paso 2
¿Cuál es el porcentaje de mi compra que me cobraron por los gastos de envío?
Esto se calcula como:
(Costo de envío / Cargos totales) × 100
= 20/1620 × 100
= 1.2345679012%
= Aproximadamente = 1.235%
Find x.
(Please show steps!)
Answer:
37Step-by-step explanation:
[tex]x^2-35^2=13^2-5^2\\\\x^2-1225 = 169-25\\\\x^2=144+1225\\\\x^2=1369\\\\x=\sqrt{1369}\\\\x=37[/tex]
are the triangles congrouent? if so by what postulate
Answer:
D Not enough information
Step-by-step explanation:
They give us one pair of congruent sides and we know there is a pair of congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry
Hope This Helps :)
A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)
Was Gud! How are you?
Anyway, the correct answer my brother/sister is: C- (0,2)
Hope you have a wonderful/blessed day ;>
Korey plants trees at a constant rate of 12 trees every 3 hours. What is an equation that relates p, the number of trees that korey plants, and h, the time he spends planting them in hours.
Answer:
p=4h
Step-by-step explanation:
Knowing that Korey plants 12 trees every 3 hours we then can figure out how many trees he plants in 1 hour, by dividing the ratio (12) to the rate (3) by doing that we get 4, which is the amount of trees that he would plant in 1 hour. Then the number of tree's that he plants (p) would equal 4 times how many hours he spends planting them.
how do you expand 2(p-j)
Answer:
Disturbute
Step-by-step explanation:
2p-2j
Katie has $20 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
In 3 years she will make $6.44.
Step-by-step explanation:
Answer
19.86
Step-by-step explanation:
y<_x-2
y>_1/4x-4
region a
region b
region c
region d
9514 1404 393
Answer:
B. Region B
Step-by-step explanation:
The solution region is below the line with a slope of 1. That't the meaning of ...
y ≤ x ...
The solution region is above the line with a slope of 1/4. That's the meaning of ...
y ≥ 1/4x ...
The region meeting both requirements is Region B.
Helppppppppppppppppppp
buse Points - WEL...
Nov 18, 10:39:02 AM
Watch help video
Graph a right triangle with the two points forming the hypotenuse. Using the sides,
find the distance between the two points in simplest radical form.
(1, -3) and (-1,-5)
*Click twice to draw a line. Click a segment to erase it.*
S
6
3
2
3
2
3
-3
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iti
DeltaMath - Googl
Answer:
ddelete iit
Step-by-step explanation:
What is the solution set for 9x2-25 = 0?
Answer:
I believe is A.
Step-by-step explanation:
9x^2 - 25 = 0
9x^2 = 25
x^2 = 25/9
x = 5/3
in 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way up to 828 meters ( the highest point on which a person can stand) in 6 hours answers.
1. How far did they climb in the first 2 hours?
2. How far did they climb in 5 hours
3. How far did they climb in the final 15 minutes?
Answer:
Step-by-step explanation:
Given that:
A professional climber makes his way up to 828 meters in 6 hours in Burj Khalifa.
Therefore; in two hours, he would have climbed:
x = (828 m × 2hrs)/6 hrs
x = 276 miles
In five hours, he would have climbed;
y = ( 828 m × 5 hrs)/6 hrs
y = 690 miles
SInce 60 minutes = 1 hour
Then 15 minutes will be ( 15)/60 = 0.25 hours
Thus, in the last 15 minutes;
He climbed = (828 m × 0.25 hrs)/6 hrs = 34.5 miles
When x= -1, what is the value of y?
Answer:You need to give a equation first.
Step-by-step explanation:Equation please!
how do i even solve this?? i’m super confused anything would help. ty.
Answer:
[tex] {b}^{4} + 1[/tex]
Your teacher messed up the question so just put the top right answer and ask your teacher if they did accidently miss-type.
Step-by-step explanation:
The first thing to do in this equation is look at the exponents. When multiplying a variable (or any number equal to itself with the same exponent) you only have to add the exponent. So for a, you would add the exponents to get 0, so a to the power of 0 is 1, because any number to the power of 0 is 1. For b, we would add the 3 and 1. (When no exponenet is present in a number then it is 1, so for this I added 3 and 1). So it would be 4. The correct answer is
[tex] {b}^{4} + 1[/tex]