What is the mean of, 1/2, 3/2, 3/4, 2/5, 7/10? Write your answer as a fraction in simplest form.
Answers
[ ex: 10+14+6+2=32
32/4=8. 8 would by the mean in THIS example ]
step-by-steph explanation:
first, we need to find the LCM (least common multiple). the LCM is 20 because the denominators of each fraction can be multiplied by a number in order to get 20.
1/2 • 10/10 = 10/20
3/2 • 10/10 = 30/20
3/4 • 5/5 = 15/20
2/5 • 4/4 = 8/20
7/10 • 2/2 = 14/20
Then we can add all of these numbers.
10/20 + 30/20 + 15/20 + 8/20 + 14/20
= 77/20
Then we can divide the amount of numbers, five, by 77/20.
k. c. f
77/20 divided by 5/1
77/20 • 1/5 = 77/100
ANSWER: The mean is 77/100
Related Questions
A man starts walking north at 4 ftys from a point P. Five minutes later a woman starts walking south at 5 ftys from a point 500 ft due east of P. At what rate are the people mov- ing apart 15 min after the woman starts walking
Answers
The people are moving apart at a rate of 500.02 feet per 15 minutes, which is approximately 33.34 feet per minute. Hence, the rate at which the people are moving apart 15 minutes after the woman starts walking is 33.34 feet per minute.
A man and a woman start walking in opposite directions from two different points. The man starts 4 feet north of a point P, while the woman starts 500 feet due east of P. The man started walking 5 minutes before the woman. To solve the problem, the Pythagorean theorem is used.
By applying the Pythagorean theorem, a diagram is drawn, and the following distances are assumed: The man is 4 feet away from point P, and the woman is 5 feet away from the point 500 feet east of P. The total time elapsed is 15 minutes, with the man walking for 20 minutes (since he started 5 minutes earlier than the woman).
Using the formula distance = speed x time, the distances traveled by the man and the woman are calculated. The man's speed is 4 feet per minute, and the woman's speed is 5 feet per minute. The man travels a distance of 80 feet, and the woman travels a distance of 75 feet.
Applying the Pythagorean theorem again, the distance between the man and the woman is found. It is calculated as the square root of [(500 feet)^2 + (80 feet - 75 feet)^2], resulting in a distance of 500.02 feet.
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in an examination room, seating is available for 34 students, which is 85% of the required seating. how many more seats should be added if all students must be seated?
Answers
6 more seats should be added if all students must be seated.
As per the question statement, in an examination room, seating is available for 34 students, which is 85% of the required seating.
We are required to calculate the number of seats to be added to accommodate the seating of all the candidates.
To solve this question, first let us assume that the total number of candidates appearing for the exam is "x", i.e., the room needs "x" seats to accommodate the seating of all the appearing candidates.
And as per the question statement, 85% of x is 34.
We will need to form a linear equation in one variable "x", based on our above-mentioned assumptions and the conditions mentioned in the question statement, and solving this equation, we will obtain our desired answer, i.e.,
(85% of x) = 34
Or, [{(85/100) * x} = 34]
Or, [x = {34 * (100/85)}]
Or, [x = {2 * (100/5)}]
Or, [x = (2 * 20)]
Or, [x = 40]
That is, the total number of candidates appearing for the exam is 40, and hence, the room needs allover 40 seats to accommodate the seating of all the appearing candidates. Therefore, [(40 - 34) = 6] seats need to be added to accommodate the seating of all the candidates.
Percent: In Mathematics, Percentage is a number or a ratio which can be expressed as the numerator to a denominator of 100 in a fraction, and is denoted using the percent sign, "%"
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An ABS (Australian Bureau of Statistics) employee wishes to test the speed (in minutes) with which different online survey designs can be completed. Three different online survey designs have been proposed. One complication in assessing the surveys is the notion that individual differences might influence the speed with which the online forms are completed. To account for individual differences an experiment is arranged so that a survey from each design is completed by each individual. The following results are extracted from a randomised block experiment with three treatment levels (i.e. three types of online survey designs) and five blocks (i.e. 5 individuals). SSBL (sum of squares between blocks) = 3738, SSB (sum of squares between groups) = 1048.93 and SST (sum of squares total) = 5391.33. Based on this information, what is the critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance? Use our textbook statistical table to answer the question.
Answers
The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.
The critical value can be determined using a statistical table.
The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).
The critical value for a 5% level of significance is 10.76.
This value can be found in the statistical table given in the textbook.
The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.
The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).
The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).
In this case,
The F statistic is 3738/1048.93 = 3.56.
The critical value for a 5% level of significance can be found using a statistical table.
According to the table,
The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76
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Introductory Statistics Course Withdrawals. A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. a. Compute the probability that 2 or fewer will withdraw. b. Compute the probability that exactly 4 will withdraw.
Answers
The probability that exactly 4 students will withdraw is approximately 0.2048.
The problem asks us to calculate the probabilities related to student withdrawals in an introductory statistics course. We are given that 20% of students withdraw from the course and that 20 students registered for the course.
a. To compute the probability that 2 or fewer students will withdraw, we need to calculate the cumulative probability of the binomial distribution. We can use the binomial probability formula:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Using the formula, the probability can be calculated as follows:
P(X = 0) = (20 choose 0) * (0.2^0) * (0.8^20) ≈ 0.0115
P(X = 1) = (20 choose 1) * (0.2^1) * (0.8^19) ≈ 0.0729
P(X = 2) = (20 choose 2) * (0.2^2) * (0.8^18) ≈ 0.1948
Therefore, P(X ≤ 2) ≈ 0.0115 + 0.0729 + 0.1948 ≈ 0.2792
b. To compute the probability that exactly 4 students will withdraw, we use the binomial probability formula:
P(X = 4) = (20 choose 4) * (0.2^4) * (0.8^16) ≈ 0.2048
Therefore, the probability that exactly 4 students will withdraw is approximately 0.2048.
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What is the answer Which of the following equations have infinitely many solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-6x+35=-6x-35−6x+35=−6x−35minus, 6, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice B)
B
6x+35=-6x-356x+35=−6x−356, x, plus, 35, equals, minus, 6, x, minus, 35
(Choice C)
C
-6x+35=-6x+35−6x+35=−6x+35minus, 6, x, plus, 35, equals, minus, 6, x, plus, 35
(Choice D)
D
6x+35=-6x+356x+35=−6x+35
I am still confused
Answers
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions. Option c is correct.
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance . (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
(Choice A)
-6x+35 = -6x-35 have the different thing on each side: , so this has no solution.
(Choice B)
6x+35 = -6x-35 does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1).
(Choice C)
-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
(Choice D)
6x+35=-6x+35 And finally, has the different thing on each side: , so it has one solution.
Hence , -6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.
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the time it takes me to wash the dishes is uniformly distributed between 9 minutes and 14 minutes. what is the probability that washing dishes tonight will take me between 10 and 12 minutes?
Answers
By using uniform distribution of probability,
Probability that washing dishes will take between 10 and 12 minutes = \(\frac{2}{5}\)
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here, uniform distribution of probability is used
The time taken to wash the dish is uniformly distributed between 9 and 14 minutes
Probability that washing dishes will take between 10 and 12 minutes =
\(\frac{12 - 10}{14 - 9}\\\frac{2}{5}\)
Probability that washing dishes will take between 10 and 12 minutes = \(\frac{2}{5}\)
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You are wanting a new pair of shoes. The shoes
cost $70 BEFORE taxes. The sales tax on these
shoes is 8%. How much money are these shoes
going to cost?
Answers
Step-by-step explanation:
$70*8% ≈ 56
so, 70 - 56 = i14
ihopethishelps
Niam and Owen share the costs of a in the ratio 2:5. If the fare was £35, how much did each pay?
Answers
Step-by-step explanation:
the ratio Niam:Owen
2:5
total ratio is 2+5=7
Niam's fraction=2/7*35
= £10
owen's fraction = 5/7*35
=£25
There are 104 coins in a bottle 1/2 of the coins are £1 coins the rest of the coins are 20p coins work out the total value of the 104
Answers
Answer:
£62.4
Step-by-step explanation:
There are 104 coins in a bottle 1/2 of the coins are £1 coins
Hence:
1/2 × 104 coins = 52 coins
Since 1/2 of the coins are £1 coins
Hence
52 coins = £52
The remaining the rest of the coins are 20p coins
The rest = 1/2 of 104 coins = 52 coins
Note that:
100 pence = 1£
Hence:
100p = 1 £
20p = x
Cross Multiply
100p × x = 20p × £1
x = 20p × £1 /100p
x = £0.2
So, one 20p coin = £ 0.2
Hence:
one 20p coin = £ 0.2
52 20p coins = x
Cross Multiply
x = 52 × £0.2
x = £10.4
The total value for the 104 coins is
= £52 + £10.4
= £62.4
geometry plz help super important
Answers
Answer:
because the triangle is an acute triangle all three sides are the same and because its cut in half HIK=HJK
Step-by-step explanation:
Adam purchased some items at the school store. He bought 3 pencils for $0.15 each and 5 single-subject notebook
If these items cost a total of $6.45, what was the cost of each notebook?
O A. $1.20
B. $1.26
O c. $1.29
OD. $1.38
Answers
Answer:
The answer is A
Step-by-step explanation:
Fist multiply 3 and .15 to get .45 for 3 pencils. Then subtract .45 from 6.45 and get 6. Then divided 6 by 5 to get 1.2 for each book
i think the answer is a: $1.20
my work:
3 x 0.15 = 0.45.
6.45 - 0.45 = 6.00
6.00 / 5 = 1.20
and i checked my work by doing 1.20 x 5 + 0.40 = $6.45.
Given that triangle GHJ = triangle XYZ What is m
Answers
diamond and trevor both have a six-sided dice. the sides of their dice are displayed below: assuming that their dice are both fair (equally likely to land on each side). find the theoretical probability of rolling each value. write your answers as percentage correct to two decimal places. % % % when diamond rolls her dice 1280 times, she rolls a one 217 times, a two 425 times, and a three 638 times. find the experimental probability of rolling each value. % % % based on the law of large numbers, could you reasonably assume that the dice diamond has is a fair dice (equally likely to land on each side)? no yes when trevor rolls his dice 1280 times, he rolls a one 888 times, a two 313 times, and a three 79 times. find the experimental probability of rolling each value. % % % based on the law of large numbers, could you reasonably assume that the dice trevor has is a fair dice (equally likely to land on each side)? no yes
Answers
A. Theoretical probability of rolling each value for both Diamond and Trevor is 16.67%.
The experimental probability of rolling each value for Diamond is 16.95% for one, 33.20% for two, and 49.84% for three.
The experimental probability of rolling each value for Trevor is 69.38% for one, 24.45% for two, and 6.17% for three. Based on the Law of Large Numbers, Diamond's dice can be assumed to be fair, but Trevor's dice cannot be assumed to be fair.
The theoretical probability of rolling each value for both Diamond and Trevor is 1/6 or 16.67%. To find the experimental probability for Diamond, we divide the number of times each value was rolled by the total number of rolls and multiply by 100%. For example, the experimental probability of rolling one is (217/1280) x 100% = 16.95%.
Based on the Law of Large Numbers, which states that the sample mean will approach the population mean as the sample size increases, we can reasonably assume that Diamond's dice is fair.
However, Trevor's dice cannot be assumed to be fair because the experimental probability of rolling each value is significantly different from the theoretical probability, indicating a potential bias in the dice.
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What is the volume of the cylinder below?
Use 3.14 for pi.
Answers
Answer:
about =502.65
Step-by-step explanation:
i) Find the limit values
using the limit value calculation rules and the knowledge 1/n → 0 when n → [infinity].
Justify your results using the definition of limit value.
Thank you so much for your answ
Answers
Using the limit value calculation rules and the knowledge that 1/n approaches 0 as n approaches infinity, we can determine the following limit values.
1. Let's consider the limit values of the form lim(n→∞) f(n), where f(n) is a function. When n approaches infinity, the limit of 1/n approaches 0. We can apply this knowledge to simplify the limit calculations.
2. For instance, if we have lim(n→∞) (3/n), we can rewrite it as (3 * 1/n). Since 1/n approaches 0, the limit becomes (3 * 0), which equals 0. Similarly, if we have lim(n→∞) (5 + 1/n), we can rewrite it as (5 + 0), which simplifies to 5.
3. In general, when we have a constant 'c' added or subtracted to 1/n, the limit value is equal to 'c'. This is because the 1/n term dominates as n approaches infinity, reducing the contribution of 'c' to zero.
4. Therefore, using the limit value calculation rules and the fact that 1/n approaches 0 as n approaches infinity, we can justify that the limit values of expressions involving 1/n simplify to 0 or the constant 'c' depending on the context of the function.
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A person places $3230 in an investment account earning an annual rate of 5.8%, compounded continuously. Using the formula V = P * e ^ (rt) , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years .
Answers
Answer:
$8170.10
Step-by-step explanation:
Given data
P=$3230
R= 5.8%
T= 16 years
The given expression for the account is
V = P*e^(rt)
substotute
V = 3230*e^0.058*16
V= 3230 e^ 0.928
V=3230*2.5294452249
V=$8170.10
Hence the balance is $8170.10
Answer:
8170.11
Step-by-step explanation:
3230e^0.058(16)
V = 127th
1. 12(3.14) (1) = 37.68
2
3
4
5
6
7
8
9
10
Answers
Answer:
988
Step-by-step explanation:
Volume of a Cone Level 1
height of 19
diameter of 18.7 ft
Answers
Thee volume of the cone has a value of 1, 739. 60 cubic feet
How to determine the volumeThe formula for calculating the volume of a cone is expressed as;
V = πr²h/3
Where;
V is the volume of the coner is the radius of the coneh is the height of the coneπ takes the value 3. 142From the information given, we have the values as;
Diameter = 19
But radius = Diameter/2
Now, radius = 18. 7/2 = 9.35 ft
Substitute the values into the formula
Volume = 3. 142( 9.35)² × 19/3
Find the value of the square
Volume = 3. 142(87. 42) × 6. 3
Multiply the values
Volume = 1, 739. 60 cubic feet
Hence, the value is 1, 739. 60 cubic feet
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12, 10, 8,.........
This is______sequence and the _______is equal to _________.
Answers
Answer:
Step-by-step explanation:
This is an arithmetic sequence and the common difference = - 2
You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple
a minus common difference produces a sequence that goes down.a plus common difference produces a squence that goes up.You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.
A geometrice sequence would use multiplication or division to get from one term to the next.
Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make? Give an exact answer in decimal form.
Answers
Answer: The answer in decimal form is 0.75
Step-by-step explanation: We know Ramon has 7/8 cup of cottage cheese.
He wants to know how many 1/4 cup servings can he make. 1/4 can also be written as 2/8 cup servings. 1/4 and 2/8 are equivalent.
He can only make three 1/4 cup servings of cottage cheese.
3 x 1/4 = 3/4
3/4 written in decimal form is 0.75
(w+9) (w+4) find the product of the equation
Answers
Answer:
w^2 + 13w + 39
Step-by-step explanation:
Multiplying Polynomials (FOIL- Firsts, Outs, Inners, Lasts)
(w+9) (w+4) Multiply- Firsts (w*w) Outs (w*4) Inners (9*w) Lasts (9*4)
w*w + w*4 + 9*w + 9*4 Multiply the FOIL
w^2 + 4w + 9w + 36 Combine like terms (same variables, numbers)
w^2 + 13w + 39
Help may god bless you help 10 pts available (maths)
Answers
Answer: Step-by-step explanation: get a turtor then
Answer:
Hope my answer helps you Mark me brianliest hehe have a nice day （⌒▽⌒）（⌒▽⌒）Step-by-step explanation:
if nth term is n( n+1)/2then,17(17+1)/2289+17/2306/2153 answerwhat number is an integer
Answers
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold \mathbb {Z}.
slove of the quotient of 952 and 4
Answers
Answer:
238
Step-by-step explanation:
the quotient simply means the result of the division. when you divide 952 by 4, you get 238
What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
Answers
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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pls help if you can asap!!!!
Answers
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
please help for algebra 1
Answers
Answer:
A: first choice
x^4
Step-by-step explanation:
When you divide two powers with the same base, you subtract the exponents, not divide.
The step x^8/x^4 is correct.
The next step should be x^(8 - 4), not x^8/4.
The correct simplification is x^4.
Answer:
A: first choice
x^4
At Charlie's Hats, 12% of the 75 hats are baseball caps. How many baseball caps are there?
Answers
da answer is 24 OK understand
According to a CBS news poll, 73% of the 321 randomly selected adults aged 18-30 favor allowing gay and lesbian couples to marry legally compared to 53% of the 562 randomly selected adults of all ages that favor such legalization, a difference of 20%. To compute the likelihood that you'd see such a difference or more just due to the luck of the draw, you first need to calculate the SE of the 2 samples.
Required:
In the young adult poll 73% favored gay marriage. Calculate the SE for this percentage.
Answers
To calculate the standard error (SE) for the percentage of young adults who favor gay marriage, we need to consider the sample size and the proportion of individuals in the sample who favor gay marriage.
The formula for calculating the standard error (SE) of a sample proportion is SE = sqrt((p * (1 - p)) / n), where p is the sample proportion and n is the sample size.
In this case, the sample proportion is given as 73% or 0.73, and the sample size is 321 young adults. Substituting these values into the SE formula, we get SE = sqrt((0.73 * (1 - 0.73)) / 321).
To calculate the SE, we first calculate (0.73 * (1 - 0.73)) to get 0.1979. Dividing this value by the sample size of 321 and taking the square root, we find that the SE for the percentage of young adults who favor gay marriage is approximately 0.0211.
Therefore, the standard error (SE) for the percentage of young adults who favor gay marriage, based on the CBS news poll data, is approximately 0.0211 or 2.11%. The SE provides an estimate of the variability or margin of error associated with the sample proportion.
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HELP PLEASE!
Find the 15th term of the sequence defined by the explicit rule
f(n)=4n-3
Answers
Answer: 57
Step-by-step explanation: f(57)=4(57)-3