A. There can be 816 different ways to distribute 18 colored pencils into groups for you and 2 friends.
B. To determine the number of different ways to distribute 18 colored pencils among three people, we can use a combinatorial approach.
1. Divide the pencils into three groups:
Since all pencils are of different colors and assuming each person gets at least one pencil, we can start distributing the pencils in the following way:
- You can choose any 1 pencil from the 18, leaving 17 pencils for distribution.
- Your first friend can choose any 1 pencil from the remaining 17, leaving 16 pencils for distribution.
- Your second friend automatically gets the remaining pencils.
2. Calculate the number of ways to distribute the pencils:
The number of ways to distribute the pencils can be calculated by multiplying the number of choices for each person:
Number of ways = 18 * 17 * 1 = 306
3. Account for different orders of distribution:
The distribution of pencils can occur in different orders, but the same pencils will be distributed.
Since there are three groups, the pencils can be distributed in 3! (3 factorial) ways.
3! = 3 * 2 * 1 = 6
4. Calculate the final number of different ways:
Final number of different ways = Number of ways / Number of orders
Final number of different ways = 306 / 6 = 51
Therefore, there can be 816 different ways to distribute 18 colored pencils into groups for you and 2 friends.
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(01.01 LC)Which of the following describes a situation in which the total distance a baseball player travels is zero meters from
his starting point?
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
The player runs 6 meters forward, and then runs 0 meters in the opposite direction.
Answer:
i think it`s the first one
Step-by-step explanation:
Answer:A
Step-by-step explanation:
The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
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an angle measures 100, what is the measure of it's supplement
Answer:
Measure of supplement = 80°
Step-by-step explanation:
When two angles are supplementary to each other, the sum of their measures equals 180°Thus, we can find the measure of the supplement of an angle measuring 100° by simply subtracting 100 from 180:
Supplement measure = (180 - 100)°
Supplement measure = 80°
A spherical balloon is being filled with air at the constant rate of 8 cm? sec How fast is the radius increasing when the radius is 6 cm? Submit an exact answer in terms of T. Provide your answer below: cm sec
A spherical balloon is being filled with air at the constant rate of 8 cm³/sec How fast is the radius increasing when the radius is 6 cm?
Rate of change of radius of sphere 0.0176 cm/sec.
A spherical balloon is filled with air at the constant rate of 8 cm³/sec.
Formula used: Volume of sphere = (4/3)πr³
Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of a sphere, and dr/dt is the rate of change of radius of the sphere.
We know that the radius of the balloon is increasing at the constant rate of 8 cm³/sec. When the radius is 6 cm, then we can find the rate of change of the volume of the sphere at this instant. Using the formula of volume of a sphere, we get: V = (4/3)πr³
Substitute r = 6 cm, we get: V = (4/3)π(6)³ => V = 288π cm³ Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of sphere, and dr/dt is the rate of change of radius of the sphere. Substitute dV/dt = 8 cm³/sec, and r = 6 cm,
we get:8 = 4π(6)²(dr/dt)
=>dr/dt = 8/144π
=>dr/dt = 1/(18π) cm/sec
Therefore, the radius is increasing at the rate of 1/(18π) cm/sec when the radius is 6 cm.
Rate of change of radius of sphere = 1/(18π) cm/sec= 0.0176 cm/sec.
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Find FH
A. 13.5
B. 6.0
C. 8.1
D. 6.7
Step-by-step explanation:
the FH seems to be option b.6.0
........
How do I solve this?
The value of x in this problem is given as follows:
x = 8.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are x and 15.The hypotenuse is x + 9.Hence the value of x is obtained as follows:
x² + 15² = (x + 9)²
x² + 225 = x² + 18x + 81
18x = 225 - 81
x = (225 - 81)/18
x = 8.
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Y=1/6x-7 find slope and y intercept
Answer:
1/6 is the slope and -7 is the y intercept
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
why does math make me want to cryyyyyyyyyyyyyyyy
Answer:
math sucks and is very stressful it makes me want to cry too but it will be okay
Step-by-step explanation:
A package of dried fruit weighs 3/4 of a pound. If one serving size is 1/6 of a pound, how many servings would be in the package?
Answer:
0.125
Step-by-step explanation:
3/4 / 1/6
Please help me with this I have no idea
Answer:
x = 8
Step-by-step explanation:
The two sides equal each other
5x - 13 = x + 19 Subtract x from both sides
5x - x - 13 = x - x + 19
4x - 13 = 19 Add 13 to both sides
4x - 13 + 13 = 19 + 13
4x = 32 Divide both sides by 4
x = 8
Helping in the name of Jesus.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is .
Answer:
(5.23x + 3.76) − (3.67x − 6.39) is ( . )
Step-by-step explanation:
Yes
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
11+2x=x+4 whoever answered can you show the work?
Answer:
x= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+11=x+4
Step 2: Subtract x from both sides.
2x+11−x=x+4−x
x+11=4
Step 3: Subtract 11 from both sides.
x+11−11=4−11
x=−7
Solve for g.
-2q - 2>2
Answer:
I will assume that you mean solve for q.
q < -2
Step-by-step explanation:
-2q - 2 > 2
+2 +2
Add 2 to both sides
2q > 4
/-2 /-2
Divide both sides by -2 (flip the sign if you multiply or divide by a negative number)
q < -2
ax+b=cx+d; a is not equal to c
Answer:
\(x = \frac{d - b}{a - c} \)
How is multiplying two binomials the same as multiplying two complex
numbers? How is it different?
Answer:
the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.
Step-by-step explanation:
there
x/15 + 3/15 = -1/5
the solution is x =
Answer:
x = -6
Step-by-step explanation:
x/15 + 3/15 = -1/5
x/15 + 1/5 = -1/5
x/15 = -2/5
x = -6
Let's check
-6/15 + 3/15 = -1/5
-3/15 = -1/5
-1/5 = -1/5
So, x = -6 is the correct answer.
There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
Assume that you are going to open a checking account. You are examining different banks and banking accounts to
choose a bank account for your needs. Which of the following statements should not be one of your reasons for
examining different banks?
a. Being more informed leads to being better prepared to make financial decisions.
b Bank E offers you a chocolate bar for filling out an application for checking and credit at the
same time.
c. Banks could have charges that you do not know about until reading carefully
You will become more aware of how well the banks meet your particular needs
d.
Answer:
Step-by-step explanation:
The answer is B because giving a chocolate bar doesn't help you in a way.
Answer:
B
Step-by-step explanation:
Because a reasonable person won't see it as a reason
quality control for many products involves breaking, destroying, or wearing out a number of the products in order to see exactly what it takes to make the product stop working. suppose that, for one product, 98% of all the units made at a particular factory can hold at least 400 lbs. of weight before breaking. to check the product, quality control selects a random sample of 300 units made at the factory and determines whether or not the product can hold at least 400 lbs. of weight before breaking. what is the probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs. of weight before breaking?
The probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.
What is the binomial distribution?
In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n separate experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.
Here, we have
Given: For one product, 98% of all the units made at a particular factory can hold at least 400 lbs. of weight before breaking to check the product, quality control selects a random sample of 300 units made at the factory and determines whether or not the product can hold at least 400 lbs.
p = 0.98
q = 1 - p = 1 - 0.98 = 0.02
n = 300
Using the binomial distribution,
Standard deviation = σ = √npq = √300 × 0.98 × 0.02 = 2.4249
Standard deviation = σ = 2.4249
Hence, the probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.
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I need help
What number is 75% of 140????
75% of 140 is 105 I hope this helps!
How much did he originally deposit??
Answer:
$200
Step-by-step explanation:
200/5=40
40x5=200
To solve, you multiply the interest by the interest rate
This gets you the total. The interest is also seperate amount so he now has $240
can someone plz help me plz plz
Answer:
2
Step-by-step explanation:
The slope of the line is basically the gradient so I used the formula
(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2
simplify the following expressions ( use distributed property )
Answer:
ax + ab
Step-by-step explanation:
Step 1: Write expression
a(x + b)
Step 2: Distribute a to each term
ax + ab
\(\huge\boxed{Hello!}\)
The Distributive Property states that
a(b+c)=ab+ac
Now, let's use this property to simplify the given expression:
a(x+b)
ax+ab
This is our final answer.
\(\huge\boxed{\bf{Hope\;it\;helps!}}\)
\(\huge\bold{Good\;luck!}\)
\(\huge\mathfrak{LoveLastsAllEternity}\)
Diego's high school soccer team started a fundraiser selling treats at their games. they spent $1000 to start and an additional $0.30 on each candy bar and can of soda. they decide to sell both the candy and the soda for the same price, to make things simple. choose a reasonable price for the team to sell the candy bars and sodas. in your discussion post, share the equations that you used to model this situation and answer the following questions (remember that profit is the revenue minus the costs): how much do they need to sell to break even (where revenue is equal to cost)? how much do they need to sell to make at least $5,000 in profit? do you think it is likely for them to make at least $5,000 in profit? in what situations would it be possible for them to make at least $5,000 in profit?
It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.
Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.
To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.
Equation to break even: Revenue = Cost
1x = $1000 + $0.30x
To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:
0.70x = $1000
x = $1000 / 0.70
x ≈ 1428.57
So, they need to sell approximately 1429 treats to break even.
To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".
Equation to make at least $5,000 in profit: Revenue = Cost + Profit
1y = $1000 + $0.30y + $5000
Simplifying the equation:
0.70y = $6000
y = $6000 / 0.70
y ≈ 8571.43
So, they need to sell approximately 8572 treats to make at least $5,000 in profit.
Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.
In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.
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Select all the possible solutions for 2x+7<=3x-5
x >= 12. This means that any number that is 12 or larger can be used as a value for x to satisfy the given inequality 2x + 7 <= 3x - 5.
To solve the inequality 2x+7<=3x-5, we need to isolate the variable on one side of the inequality sign.
First, we can subtract 2x from both sides:
2x+7-2x<=3x-5-2x
Simplifying this gives us:
7<=x-5
Next, we can add 5 to both sides:
7+5<=x-5+5
Simplifying this gives us:
12<=x
Therefore, all the possible solutions for this inequality are x values that are greater than or equal to 12. We can express this as:
x >= 12
Given the inequality 2x + 7 <= 3x - 5, we need to find all possible solutions for x. To do this, we will follow these steps:
1. Subtract 2x from both sides of the inequality: 7 <= x - 5.
2. Add 5 to both sides of the inequality: 12 <= x.
Now, we have found that the possible solutions for the inequality are all values of x that are greater than or equal to 12. In other words, x >= 12. This means that any number that is 12 or larger can be used as a value for x to satisfy the given inequality 2x + 7 <= 3x - 5.
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Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation:
Consider the parent function f (x) below.
1. Graph f(2x) in the color green below.
2. Graph -3f(x) in the color blue below.
3. Graph 2f (2x) in the color red below.
Help asap :)
In this subsection, we examine the ways in which the graphs of functions alter or transform as a result of certain, specialized adjustments to their formulations.
What is Transformations?We shall present the transformations in the following order: shifts, reflections, and scalings. The transformations we will investigate can be broadly divided into these three types. Consider the full graph of a function f to be the graph shown below.In order for the point (a, b) to be on the graph, f(a) = b, according to the Fundamental Graphing Principle for Functions. To be more specific, we know that f(0) = 1, f(2) = 3, f(4) = 3, and f(5) = 5.To refresh our memories on what g is doing, let's pause for a moment. With an input of x into the function f, we can then get the f as the result (x).G adds 2 to the output of the function f(x). Graphing the points (x, g(x)) is required in order to graph g. The correct response is that we only require the values of f and do not require a formula for f(x) (x). On the graph of y = f, the y values correspond to the values of f(x) (x). We can create the following table, for instance, using the points shown on the f graph.In general, if the pair (a, b) is on the y = f(x) graph, then f(a) = b, and g(a) = f(a) + 2 = b + 2. The result is that (a, b+ 2) is on the graph of g. Alternatively said, we multiply the y-coordinate of each point on the graph of f by 2 to produce the graph of g. Geometrically, a point travels 2 units higher when its y-coordinate is multiplied by 2. Typically, "moving the graph up 2 units" refers to collectively adding 2 to each y-coordinate on a graph. The graph is only two units above its original place, but it still has the same basic structure as previously.To Learn more About transform refer To:
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12. D(-5,-6), E(5,2), F(4,-4), G(-6,-12). Determine wether it as a parallelogram or not
Answer:
d(−5−6)(2.718282)(52)f(4−4)g(−6−12) =0
Step-by-step explanation:
d(−5−6)(2.718282)(52)f(4−4)g(−6−12) =0
a data analyst is collecting data. they decide to gather lots of data to make sure that a few unusual responses don't skew the results later in the process. what element of data collection does this describe?
This describes the process of collecting a large sample size.In statistics, sample size refers to the number of observations in a sample, which is a subset of a population.
The larger the sample size, the more representative it is of the population and the more accurate the estimates and inferences based on the sample data are likely to be. By collecting a large sample size, the data analyst can reduce the potential impact of outliers or unusual responses on the overall results. It also increases the statistical power of the analysis, meaning that it is more likely to detect any meaningful differences or relationships that exist in the data. Therefore, collecting a large sample size is an important element of data collection to ensure the validity and reliability of the statistical analysis.
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What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}
What is standard deviation of the set of observations 32 28 29 30 31?
The set of observations (32, 28, 29, 30, and 31) has a 1.41 standard deviation.
You must take the following actions to determine the standard deviation of a set of observations:
Determine the set of observations' mean. Divide the total number of observations by the sum of all the observations to arrive at this result. The mean in this situation would be 30.To determine each observation's departure from the mean, deduct the mean from each observation.Each deviation should be squared.4The squared deviations are totaled.5Subtract the number of observations from the total of the squared deviations. Therefore, the standard deviation for the set of observations 32 28 29 30 would be:Mean: (32 + 28 + 29 + 30 + 31) / 5 = 30
Deviations: 32 minus 30 = 2, 28 minus 30 = 2, 29 minus 30 = 1, 30 minus 30 = 1, etc.
Squared deviations are as follows: 22 = 4, (-2)2 = 4, (-1)2 = 1, and 02 = 0.
Sum of squared deviations: (Sum of squared deviations) / (number of observations) = 10 / 5 = 2
Standard deviation is square root of sum of squared deviation.
so, \(\sqrt{2}\) is 1.41.
As a result, the set of observations (32, 28, 29, 30, and 31) has a 1.41 standard deviation.
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