There are 18 different ways in which the cashier can put the items in the bags.
In how many ways can 4 items be distributed in 3 bags?
There are some cases to consider.
1) The 4 items go in the same bag, there are 3 permutations for this case.
2) 3 items on one bag, and 1 item on other bag (there are 6 permutations for this case).
3) 2 items on one bag, 2 items on other bag (6 permutations).
4) 2 items on one bag, 1 item on each of the other two bags (3 permutations for this case).
We just need to count the total number of permutations, which is:
3 + 6 + 6 + 3 = 18
There are 18 different ways in which the cashier can put the items in the bags.
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Which statement is true?
From Lesson 9.06 Probability & Two-Way Tables
The two-way table shows the ages of the players on different soccer teams.
A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58.
Which statement is true?
The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction.
The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction.
The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction.
The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.
The statement that is true is:
The probability that a randomly selected player on Team C is 10 years old is 5/16.
Option A is the correct answer.
We have,
The probability that a randomly selected player on Team C is 10 years old.
= Number of 10 years old players in Team C / Total players in Team C
= 5./16
The probability that a randomly selected player on Team A is 8 years old.
= Number of 8 years old players in Team A / Total players in Team A
= 4/15
The probability that a randomly selected 8-year-old player is on Team C.
= Number of 8 years old players in Team C / Total 8 years old players
= 8/21
The probability that a randomly selected 10-year-old player is on Team B.
= Number of 10 years old players in Team C / Total 10 years old players
= 5/14
Thus,
The probability that a randomly selected player on Team C is 10 years old is 5/16.
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: How many 3/2's are in 5?
Answer:
3 1/3
Step-by-step explanation:
5/3/2 = 10/3 = 3 1/3
how is the sum expressed in sigma notation? 13 + 21 + 29 + 37 + 45 enter your answer by filling in the boxes.
The sum expressed in sigma notation is:
Σ(8n + 5), where n goes from 1 to 5.
1. Identify the pattern in the given sequence:
13, 21, 29, 37, 45.
2. Notice that each term is 8 more than the previous term, so the common difference is 8.
3. Find the general formula for the sequence:
an = a1 + (n-1)d, where an is the nth term, a1 is the first term (13), n is the term's position, and d is the common difference (8).
4. Plug in the values to get the formula:
an = 13 + (n-1)8.
5. Simplify the formula:
an = 8n + 5.
6. Express the sum in sigma notation:
Σ(8n + 5), where n goes from 1 to 5.
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A cyclist is riding on a bike trail, pedaling at a speed of 20 miles per hour. the cyclist plans to pedal at this speed for the next 35 miles, plus or minus 10 miles. find the minimum and maximum number of hours the cyclist will pedal at that speed.
The cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
The relation between speed, distance and time is as follows -
Speed = distance ÷ time. The maximum and minimum number of hours will depend on the distance. The maximum number of hours will be spent when maximum distance is covered, and minimum number of hours will be spent when minimum distance is covered.
Maximum distance = 35 + 10
Maximum distance = 45 miles
Minimum distance = 35 - 10
Minimum distance = 25 miles
Maximum number of hours = 45 ÷ 20
Maximum number of hours = 2.25 hours
Minimum number of hours = 25 ÷ 20
Minimum number of hours = 1.25 hours
Thus, cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.
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Can someone please solve for x
Answer:
x=-12
Step-by-step explanation:
AC=AB+BC
x+29=2x+33+8
x-2x=33+8-29
-x=12
x=-12
Greg bought a blanket for $37.55, a pillow for $10.75, and a glove for $18.25. He paid $60 and the rest he borrowed from his friend. If Greg got $3.45 in change from the cashier, how much did he borrow from his friend to pay for all the items?
The borrow from his friend to pay for all the items will be $10.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Greg bought a blanket for $37.55, a pillow for $10.75, and a glove for $18.25.
The total amount spent will be
Total spent = $37.55 + $10.75 + $18.25
Total spent = $66.55
He paid $60 and the rest he borrowed from his friend.
Let x be the amount of borrow.
If Greg got $3.45 in change from the cashier.
x + $60 - $66.55 = $3.45
x = $3.45 + $6.55
x = $10
Then the borrow from his friend to pay for all the items will be $10.
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i can identify the factors that influence the distribution of human populations at different scales and that they vary according to the scale of analysis
Answer: sorry if this is wrong I tried.
Physical factors such as terrain, climate, soil, water bodies, and mineral resources. These factors affect the availability of resources, the suitability of land for agriculture, the accessibility of transportation, and the attractiveness of living conditions.
Human factors such as industries, urbanization, transport, culture, history, and politics. These factors affect the type and scale of economic activities, the availability of services and amenities, the migration patterns and preferences of people, and the distribution of power and wealth.
These factors vary according to the scale of analysis because different regions may have different combinations and interactions of these factors that influence their population distribution. For example, at a global scale, climate may be a major factor that determines where people live, but at a local scale, urbanization may be more important.
Step-by-step explanation:
Two boxes containing candies are placed on a table. The boxes are labelled B1 and B2.
Box Bl contains 7 cinnamon candies and 4 ginger candies. Box B2 contains 3 cinnamon
candies and 10 pepper candies. The boxes are arranged so that the probability of
selecting box Bu is 1/3 and the probabit of selecting box B2 is 2/3. Mohamed is
blindfolded and asked to select a candy. What is the probability that he selects a
cinnamon candy2
Select one:
0. 0. 0326
0. 0. 0125
C. 0. 75
d. 0. 014
Two boxes containing candies were placed on a table, labelled B1 and B2. Box B1 contained 0.0125d of candies while Box B2 contained 0.014d. Therefore, Box B2 contained a greater amount of candies than Box B1, but only by a small amount.
The question asks about two boxes containing candies placed on a table. The boxes are labelled B1 and B2. To answer this question, we must first consider what is contained in each box. Box B1 contains 0.0125d of candies while Box B2 contains 0.014d. Therefore, Box B2 contains a greater amount of candies than Box B1.
It is important to note that the difference between the two boxes is minimal, with Box B2 containing only 0.0015d more candies than Box B1. Thus, both boxes contain similar amounts of candies.
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Kendra and Ann shared 200 apples such that Kendra received 50 apples more than Ann I)calculate their share Ii)find the ratio of their share
pls help Asap
Step-by-step explanation:
this is the solution above
Plz help. You need to wright an equation and solve it.
To rent a car is $25 per day plus a fee of $50. Gil rented a car for $250. How many days did he rent the car?
Answer: 8 days
Step-by-step explanation: There is only one fee of 50 dollars. 250-50=200
Divide 200 by 25 to get the number of days.
Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write the fraction in simplest fractional form.)
why is the term ""arc"" used to describe units of measure for angular distance
The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.
Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.
This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.
The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).
Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.
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how do you factor 18x^2-18x-5?
Answer:
This expresion is not factorable. If you have any questions, please ask me!
Which value of x is the solution to this equation? 5x2 = 30x – 45
Answer:
x = 11/6 or 1 5/6 or 1.83333...
Step-by-step explanation:
The solution to the equation 5x^2 = 30x – 45 is x = 3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: 5x² = 30x - 45.
We can start by simplifying the equation by subtracting 30x and adding 45 from both sides to get:
5x² - 30x + 45 = 0
We can further simplify by dividing both sides by 5 to get:
x² - 6x + 9 = 0
This can be factored as (x - 3)(x - 3) = 0, which means that the only solution is x = 3.
Therefore, the solution to the equation 5x^2 = 30x – 45 is x = 3.
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Kenneth had a coupon to buy a laptop for 40% off. He paid $210 for the computer. What was the original price?
Answer:
294
Step-by-step explanation:
i have enough pure silver to coat square meter of surface area. i plan to coat a sphere and a cube. allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a maximum? the radius of the sphere is , and the length of the sides of the cube is 0 . again, allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a minimum? the radius of the sphere is , and the length of the sides of the cube is .
The radius of the sphere is 25/π and the length of the sides of the cube is 2.6458 meters.
Since the volume of the silvered solid must be a maximum, the two solids should be equal, then the total volume will be equal to two times the volume of either of the solids.
If x represents the length of the sides of the cube, then the surface area is \(x^2 x 6 = 6x^2\)
The volume of the cube is \(x^3\)
If r represents the radius of the sphere, then the surface area is \(4r^2\) The volume of the sphere is\(4/3 πr^3\)
Then we have \(x^2 x 6 + 4r^2 = 10000\)
If the volume of the silvered solid must be a minimum, all the silver should be on the sphere since the volume of a sphere is less than the volume of a cube with an equal surface area. Thus the radius of the sphere is equal to the radius of the circle that has a circumference equal to the perimeter of the square. r = 100/4π = 25/π
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What’s the he answer to this question?plz help
Answer:
Um I don’t know
Step-by-step explanation:
Jared has ice cream so eats it then his mom puts him to
What is the radius of a sphere with a volume of 32398cm3 cm
to the nearest tenth of a centimeter?
Answer:
The answer is 19.8cm to the nearest tenth
pls help :(
y= _x +_
Find the equation of the line
hi, I'm no bot just in case...
the grapgh of the line shows y intercept of -9 and rate of change by 4
SoThe equation of the lline will be: \(y=4x-9\)
First person to answer gets brainless!!
answer:
=
−
7
explanation:
math teacher helped me
Answer:
The answer is -7
Step-by-step explanation:
28 +(-7)=7-2(-7)
21=21
PLS HELPP!!!!!!
Ms. Lea ate ¾ of a bag of skittles, Ms. Peter ate 65% of her bag of skittles and Mr. Thomas ate 0.85 of his bag. Ms. Cassie ate ⅘ of her bag. Who ate the most? Explain how you know.
2. Write in order from least to greatest
30%, 23%, ⅕, 0.18, 2/9, 0.25
Answer:
0.18, 2/9, 23%, 0.25, 30%
Step-by-step explanation:
Please help!! I am so confused on how to do this.
Answer:
its 62!
p-by-step explanation:
Answer:
62.
Step-by-step explanation:
A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62
Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain. (4 points)
A binomial probability density function should be used to represent the probability
How to determine the type of probability density?
The given parameters are:
Proportion that plays sport, p = 32%Number of students selected, p = 50The probability, P = (x ≤ 15)The proportion that plays sport indicates that
68% of the students do not play sport
So, we have two events, which are
Play sport Do not play sportWhen there are two possible events, then the binomial probability density function should be used
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For every five runs that Dave scored, his sister, Lisa, scored two less runs. How many runs did Dave score if Lisa scored a total of 12 runs?
Answer:
2.4 runs
Step-by-step explanation:
We can start out by writing out the equation word by word:
Dave: y = 5xLisa: y = 5x - 2Now, we just plug in all the values:
Dave: 12 = 5xLisa: 12 = 5x -2Simplify:
Dave: x = 2.4 runsLisa: x = 2.8 runsThus, if Lisa scored a total of 12 runs, Dave scored 2.4 runs.
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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find the value of x
Ana conducts a study using a /-test to see if there is a difference in the mean number of cups of coffee consumed between men and women. The null hypothesis would state that the population mean number of cups of coffee that women drink would _______ the population mean number cups of coffee that men drink.
The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.
What is meant by percentage?The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.
A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.
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Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to each dog?
Answer:
2/15 pound of dog food
Step-by-step explanation:
John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to each dog?
From the above question, we can deduce that:
6 dogs = 4/5 pound of dog food
1 dog = x pound of dog food
Cross Multiply
6 dogs × x pound = 1 dog × 4/5 pound of dog food
x pound = 1 dog × 4/5 pound of dog food/6 dogs
x pounds = 4/5 ÷ 6
x pounds= 4/5 × 1/6
x pounds = 4/30
x pounds = 2/15 pound of dog food
Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.
as a last step before mario hits send on a company press release, what should he do to ensure it is accurate?
Mario should take the time to review and edit the press release for accuracy and clarity before sending it.
What is accuracy?Accuracy is a measure of how closely the results of a task or model match the true values. It is calculated by taking the number of correct predictions and dividing it by the total number of predictions. High accuracy scores indicate that a model is performing well and is making accurate predictions.
He should do a final check for typos, grammar, and punctuation mistakes. He should also ensure that all facts and figures are correct and up-to-date. Additionally, he should double-check to make sure the press release accurately reflects the company's intended message and that it is consistent with the company's brand. Finally, Mario should run a plagiarism check to ensure that the press release does not contain any plagiarized content. This will help ensure that the press release is original and authentic.
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