what are the fractions that add up to 1
help plzz i will give u brainliest
Answers
Answer:
Things like:
2/9 + 7/9 = 9/9 = 1
3/4 + 1/4 = 4/4 = 1
If the number is the same for the numerator and denominator it adds up to 1.
More examples:
6/10 + 4/10 = 10/10 = 1
9/15 + 6/15 = 15/15 = 1
Related Questions
a player pays $5 to play a game. a die is rolled. if the number on the die is odd,the game is lost. if the number on the die is even, the die is rolled again. in this casethe player wins if the second number matches the first and loses otherwise. how muchshould the player win if the game is fair? (
Answers
The game to be fair, the player should win 60.
In order to determine the fair winnings for this game, we need to calculate the probability of winning and then set it equal to the cost of playing the game.
Step 1: Calculate the probability of winning.
There are two scenarios for winning:
1. First roll is even, and the second roll matches the first.
2. The probability of rolling an even number on a six-sided die is 3/6 or 1/2, since there are three even numbers (2, 4, and 6).
Step 2: Calculate the probability of the second roll matching the first roll.
Since there are 6 sides to the die, the probability of the second roll matching the first is 1/6.
Step 3: Calculate the combined probability of both events.
To find the combined probability of both events, multiply the probabilities: (1/2) × (1/6) = 1/12. So the probability of winning is 1/12.
Step 4: Set up an equation to determine fair winnings.
Let x be the fair winnings for the game. The cost of playing the game is $5. In order for the game to be fair, the expected value (probability of winning multiplied by the winnings) should equal the cost of playing the game:
(1/12) × x = 5
Step 5: Solve the equation for x.
To solve for x, multiply both sides of the equation by 12:
x = 5 × 12
x = 60
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a haunted house claims that 80% of customers are scared speechless. if this is true, what is the probability that 60% or less out of a group of 50 customers will be scared speechless?
Answers
Answer: The probability of 60% or less scared speechless out of a group of 50 customers (i.e. 30 customers) is 0.0932% or 0.000932.
Step-by-step explanation: Given problem meets all criteria for application of a binomial distribution with the probability of success; p=0.8 or 80% (which makes probability of failure; q=0.2 or 20%) and the total number of trials; n=50.
Let probability of 30 or less people scared (30 is 60% of 50 people) be P(x≤30), where x≤30 encapsulates all possibilities from 0 to 30 people scared speechless.
Then, by binomial distribution,
P(x≤30) =r=030nCr*pr*q(n-r)
Now we can substitute given values and find the desired probability,
P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)(50-r)
P(x≤30) =r=03050!(50-r)!r!*(0.8)r*(0.2)-r*(0.2)50
P(x≤30) =(0.2)50*r=03050!(50-r)!r!*(0.8)r*(0.2)-r
P(x≤30) =(0.2)50*r=03050!(50-r)!r!*4r
The first value on the right hand side of equation is a very small number while the summation factor on second is a relatively larger number.
P(x≤30) = 0.000932
Thus, there is a 0.09% chance of 30 or less people scared speechless out of a group of 50.
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Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
\(12.5(x + 20) = 460 \\ x + 20 = 460 \div 12.5 \\ x + 20 = 36.8 \\ x = 36.8 - 20 \\ x = 16.8\)
Hence, 16.8 miles is your answer
What is a compound angle
Answers
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Answers
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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help me please with this math
Answers
- —— • - -— x > -10 • - ——
1. 5. 1
answer x>50
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
12a² + 9a + 7 = 0
By comparing this equation with standard quadratic equation,
hx² + kx + c = 0
h = 12, k = 9 and c = 7
By using quadratic formula,
a = \(\frac{-k\pm\sqrt{k^2-4hc}}{2h}\)
= \(\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}\)
= \(\frac{-9\pm\sqrt{81-336}}{2(12)}\)
= \(\frac{-9\pm\sqrt{-255}}{24}\)
= \(\frac{-9\pm i\sqrt{255}}{24}\)
a = \(\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}\)
Therefore, Option B will be the correct option.
Janelle has 342 pennies, 62 nickels, and 12 dimes. If Janelle exchanges her coins for dollars, how many dollars will she have? How many cents will remain?
Answers
Answer:
30 dollars and 23 cents
Step-by-step explanation:
hope this helps your welcome
62 ÷ 34 = what is it
Answers
Answer:
1.82352941176
Step-by-step explanation:
;)
Find f(a),f(a+h), and the difference quotient
h
f(a+h)−f(a)
, where h
=0
f(x)=
x+7
x
f(a)=
f(a+h)=
Answers
We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
Given a function `f(x)` is defined by `f(x) = (x+7)/x`.
We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.
Solution:
`f(x) = (x+7)/x`
At `x=a`, we have
`f(a) = (a+7)/a`.
At `x = a + h`,
we have `
f(a+h) = [(a+h)+7]/(a+h)`.
So,
`f(a+h) = (a+h+7)/(a+h)`.
Now,
`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.
LCM of `(a+h)` and `a` is `a(a+h)`.
So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.
On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.
Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.
On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.
Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
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there is 30 kilograms of 10% apple juice , how many kilograms of juice does it need to get 25% of apple juice?
Answers
Answer: 75. Hi! I learned something like this. Here is the explanation.
Step-by-step explanation: So, I am not sure, but this is what I think. You would write it like this 30 kilograms equals 100%. Then, you would put the 100 percent over the 25 percent. So, it would look like this: 10% / 25% Then, you would multiply 30 times 25, because you can just multiply by 25 and not have to worry about the percent. 30 times 25 would give you 750 and then you would divide 750 divided by 10 and you would get 75.Therefore, I think the answer is 75 kilograms of juice. I hope this helps! Sorry if this is wrong.A 6-lb bag of candy costs $9.48, and a 9-lb bag of the same type of candy costs $12.69. jada found the unit price, which is the constant of proportionality between cost and weight, for each bag of candy. what is the difference in the unit prices
Answers
The constant of proportionality between cost and weight for bag weight 6-lb is 1.58 and for other is 1.41. The difference in the unit prices of candies in bag is equals to the $0.17.
We have two bags of candies,
Weight of one bag of candy, w1 = 6 lb
Weight of second bag of candy, w2 = 9 lb
Cost of first bag of candies = $9.48
Cost of second bag of candies = $12.69
Division method : This method is used to distribute the things in equal parts. It is inverse of multiplication. So, as we know,
Cost of 6 lb candies in bag = $9.48
so, unit prices of first bag's candies = 9.48/6
= $1.58
So, the constant of proportionality between cost and weight of first bag = 1.58
Similarly, unit prices of second bag's candies
= 12.69/9 = $1.41
The constant of proportionality between cost and weight of first bag = 1.41
The difference between the unit prices of candies in both bags = $1.58 - $1.41 = $0.17..
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The present ages of father and son are 40 years and 5 years respectively. If they both live on till the son becomes as the father is now, what will be the age of father?
Answers
Answer:
75
Step-by-step explanation:
40 - 5 = 35 years till the son will be 40, his fathers age
40+35 = 75, the dad's age 35 years in the future when the son is 40
What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links
Answers
Answer:
x = 11.75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
5x + 3x - 4 + 90 = 180
8x + 86 = 180 ( subtract 86 from both sides )
8x = 94 ( divide both sides by 8 )
x = 11.75
Hey loves!!! Can anyone of you lovely people help me with my math?
Answers
Answer:
The SSS
Step-by-step explanation:
a common side are =,
and the other 2 are also I to I, and II to II.
The mathematically appropriate way to say 1.27 is;
A. one hundred twenty seven
B. one point two seven
C. One and twenty seven hundreds
D. one point twenty seven hundreds
E. one and twenty seven hundredths
Answers
The mathematically appropriate way to say 1.27 is "one and twenty-seven hundredths," option E is the correct answer.
When expressing numbers with decimal places, it is important to use the appropriate mathematical terminology to ensure clarity and precision. The number 1.27 can be expressed as "one and twenty-seven hundredths."
The digits after the decimal point represent fractions of a whole number, with each digit to the right of the decimal point representing a power of ten that is one-tenth the value of the previous digit.
Using the correct terminology when discussing numbers with decimal places can help avoid confusion and miscommunication. In particular, expressing the fractional component using hundredths is often preferred when working with financial or scientific data.
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(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answers
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
consider the following discrete probability distribution. x −10 0 10 20 p(x = x) 0.35 0.10 0.15 0.40 what is the probability that x is less than 5?
Answers
The probability that x is less than 5 = 0.45
Discrete probability distribution:
It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.
Discrete probability distribution:
x = -10 0 10 20
P(X=x) = 0.35 0.10 0.15 0.40
The probability that x is less than 5:
P(X<5) = 1 - P (X = 10) - P(X= 20)
1 - 0.15 - 0.40 = 0.45
The probability that x is less than 5 is = 0.45
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An equal number of the birds are blue, red, green, and orange. If you go to the forest and find birds, what are the odds that at least one of the birds will be red? "
Answers
If an equal number of birds are blue, red, green, and orange, then each color of bird represents 1/4 or 25% of the total population of birds.
To find the odds that at least one of the birds will be red, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.
So, the probability that none of the birds will be red is equal to the probability that a bird is not red, which is 3/4 or 75%. If we take the complement of this probability, we get the probability that at least one bird will be red:
Probability of at least one red bird = 1 - Probability of no red birds
Probability of at least one red bird = 1 - 3/4
Probability of at least one red bird = 1/4 or 25%
Therefore, the odds that at least one bird will be red are 25%, or 1 in 4.
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What is the probability of drawing two bluemarbles if the first marble is placed back inthe bag before the second draw?Give your answer as a rational number, reduced tosimplest terms.
Answers
Answer:
Given the information in the attached image;
The number of blue marbles is 5.
The total number of marbles is 10.
So, the probability of drawing blue as the first marble is;
\(P_1=\frac{5}{10}=\frac{1}{2}\)Also, since there is a replacement, the probability of drawing blue as the second marble is;
\(P_2=\frac{5}{10}=\frac{1}{2}\)the probability of drawing two blue marbles will be;
\(\begin{gathered} P=P_1\times P_2 \\ P=\frac{1}{2}\times\frac{1}{2} \\ P=\frac{1}{4} \end{gathered}\)Therefore, the probability of drawing two blue marbles is;
\(\frac{1}{4}\)
There are two bags containing only purple and yellow marbles. Bag A has yellow marbles and purple marbles. Bag B has yellow marbles and purple marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event : choosing a purple marble from Bag B. Event : choosing a yellow or purple marble from Bag A. Event : choosing a red marble from Bag B. Event : choosing a yellow marble from Bag A.
Answers
Choosing a Purple marble from Bag B
Choosing a Yellow marble from Bag A
Choosing a Yellow or Purple marble from Bag A
What is the measurement of <1?
Answers
Answer:
1 = 135 degrees
Step-by-step explanation:
sin 0 = -48/73and cos 0 = 55/73. Find tan 0.
Answers
Answer:
\(\tan \theta=-\frac{48}{55}\)Explanation:
Given that;
\(\begin{gathered} \sin \theta=-\frac{48}{73} \\ \cos \theta=\frac{55}{73} \end{gathered}\)Recall that;
\(\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \cos \theta=\frac{adjacent}{hypotenuse} \\ \tan \theta=\frac{opposite}{adjacent} \\ \tan \theta=\frac{\sin \theta}{\cos \theta} \end{gathered}\)Substituting the given values of sine and cosine;
\(\begin{gathered} \tan \theta=\frac{-\frac{48}{73}}{\frac{55}{73}}=-\frac{48}{73}\times\frac{73}{55} \\ \tan \theta=-\frac{48}{55} \end{gathered}\)Therefore;
\(\tan \theta=-\frac{48}{55}\)at the beginning of the week my investment account's balance was 1,459 dollars. if it grows at a constant rate of 4.73/day, what is my account's balance at every point in time during the week? use n to represent the number of days since the week began.
Answers
The balance of your investment account at any given point in time during the week can be calculated using the exponential growth formula:
N(t) = N0 * (1 + r)^t, where N0 is the initial balance (1,459 dollars), r is the growth rate per day (4.73/day), and t is the number of days since the week began (n).
For example, if it is the fourth day of the week (n = 4), then the balance of your investment account would be N(4) = 1,459 * (1 + 4.73/day)^4 = 2,719.37 dollars.
The exponential growth formula is a mathematical equation used to calculate the growth of a population over time. It is expressed as N(t) = N0 * (1 + r)^t, where N0 is the initial population size, r is the growth rate, and t is the time in days.
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strengths and limitations of visually interpreting histograms
Answers
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
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what is 10 x 10 x 10 ????????????????????????????????????????????????????????
Answers
Answer:
1,000
Step-by-step explanation:
Answer:
The answer is 1000
Consider an election with three candidates with the following results:
(ACB) (BAC) (CBA) (CAB)
2
5
4
2
a. Is there a majority winner? If not, who is the plurality winner?
b. Who wins the election using the Borda count method? c. Who wins if he or she first eliminates the one with the most last-place votes and then has a runoff
between the other two?
Answers
To find the plurality winner, we need to identify the candidate with the highest number of votes. In this case, candidate BAC has the most votes with 5 votes. Therefore, the plurality winner is candidate BAC.
b. The Borda count method assigns points to each candidate based on their rank in each vote. The candidate with the highest total points wins. Assigning points based on the ranks in each vote:
- ACB: A = 0, C = 2, B = 1
- BAC: B = 0, A = 2, C = 1
- CBA: C = 0, B = 2, A = 1
- CAB: C = 0, A = 2, B = 1
Calculating the total points for each candidate:
- A: 0 + 2 + 1 + 2 = 5
- B: 1 + 0 + 2 + 1 = 4
- C: 2 + 1 + 0 + 0 = 3
Based on the Borda count method, candidate A has the highest total points and wins the election.
c. To determine the winner using the elimination method, we first eliminate the candidate with the most last-place votes. In this case, candidate C has the most last-place votes with 4 votes. Therefore, candidate C is eliminated.
After eliminating candidate C, we have a runoff between candidates A and B:
- ACB: A = 0, C = X (eliminated), B = 1
- BAC: B = 0, A = X (eliminated), C = 1
- CAB: C = X (eliminated), A = 2, B = 1
Now we count the votes for the runoff:
- ACB: B = 1
- BAC: C = 1
- CAB: A = 2, B = 1
Candidate A has the most votes in the runoff and wins the election.
Therefore, using the elimination method, candidate A wins the election.
Find f(3) for the
piece-wise function.
f(x) =
2x
HIN
X
+
if x < 1
if x ≥ 1
f(3) = [?]
Enter
![Find f(3) for thepiece-wise function.f(x) =2xHINX+if x < 1if x 1f(3) = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/oza99K5Gc0kb3K7aINgH4Cp9bUtL0eNR.png)
Answers
The value of the piecewise function for f(3) is 4
How to evaluate the piece-wise function for f(3)From the question, we have the following parameters that can be used in our computation:
f(x) = 2x if x < 1
f(x) = 1/2x + 5/2 if x >= 1
The function f(3) implies that we make use of the function
f(x) = 1/2x + 5/2
This is because it is valid for x >= 1
substitute the known values in the above equation, so, we have the following representation
f(3) = 1/2 * 3 + 5/2
Evaluate
f(3) = 4
Hence, the piecewise function for f(3) is 4
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Part A. Given (F/P, i, N) = P(1+i)", and (P/F, i, N) = F/(1+i)", prove the following formula. (a) F = A (F/A, i, N) = 4(4+0)^-4 P = A1 (P/A1,9,1,N) (b) P=A (P/A, i, N) = 4(4+0) -G#5) (c) P=G(P/G, i,N) = G((1+i)N-in- NA (d) A = G (A/G, i,N) = G447 (i) -IN, i[(1+i)N-1] (e) AL -1 i(1+i)N (1+i) 1 if i #g if i = g 1+i
Answers
As we have proved that the formula F = A(F/A, i, n) = A[((1+i)ⁿ - 1)/i] and it shows that the future value of an annuity can be calculated by multiplying the annuity payment by the sum of a geometric series with a common ratio.
Let's assume that the annuity has n payments, and each payment is denoted by A. The future value of the first payment is A(1+i)ⁿ-1. This is because the first payment will earn interest for n periods, which is represented by (1+i)ⁿ, and then we subtract the original payment A because it was not earning interest. Similarly, the future value of the second payment will be A(1+i)ⁿ-2, and so on.
Therefore, the total future value of the annuity will be the sum of all the future values of each payment. We can express this as:
F = A(1+i)ⁿ-1 + A(1+i)ⁿ-2 + ... + A(1+i)⁰
Now, let's try to simplify this expression. We can factor out A to get:
F = A[(1+i)ⁿ-1 + (1+i)ⁿ-2 + ... + (1+i)⁰]
Notice that the expression inside the brackets is a geometric series with a common ratio of (1+i)⁻¹ and n terms. We can use the formula for the sum of a geometric series to simplify this expression further. This formula is:
S = a(1-rⁿ)/(1-r)
where a is the first term, r is the common ratio, and n is the number of terms.
In our case, the first term is (1+i)ⁿ-1, the common ratio is (1+i)⁻¹, and there are n terms. Therefore, we can substitute these values into the formula to get:
S = (1+i)ⁿ-1[(1+i)⁻ⁿ - 1]/[(1+i)⁻¹ - 1]
Simplifying this expression gives:
S = [(1+i)ⁿ - 1]/i
Now, substituting this value of S into the expression we obtained earlier for F, we get:
F = A[(1+i)ⁿ-1 + (1+i)ⁿ-2 + ... + (1+i)⁰]
= A[(1+i)ⁿ - 1]/i
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Complete Question:
Given (F/P, i, N) = P(1+i)ⁿ, and (P/F, i, N) = F/(1+i)ⁿ, prove the following formula
F = A(F/A, i , n) = A [((1+i)ⁿ - 1) / i]
what does the m before the XT mean
Answers
Step-by-step explanation:
Not sure ...it probably means 'measure' ( like in geometry or trig)
but in a different context like physics it means 'mass/