With exactly 75% probability of members in a club fill up 5/6 chairs, the smallest possible number of members in the club is 20 people.
we need to find out the smallest possible number of people in the room
It is given to us that 75% of the club members fill 5/6 of the chairs
we need to find the smallest number of people in the club
therefore, let x be the number of seats in the club.
If 75% fill 5/6 of the club, then 25% fill 1/6 of the club.
Therefore 25/100=1/6(x) = 1/4=1/6(x) = 2/3=x
Let people be y
So, if 75/100y=5/6(x)
(3/4) y= (5/6) (2/3)
(3/4) y=5/9
y= (5/9) (4/3)
y=20/27
Therefore, the smallest possible number in the room is 20 people.
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please help i really need it and please don't answer just to guess please i really need the help this is the only one
Answer:
18x
Step-by-step explanation:
-It is the same as 3x^-2 • 6x^3.
-Multiply the constants (in this case 3 and 6 =18)
-Add the exponents (-2+3=1)
-Your answer is 18x
Remy used 2 gallons of water to equally fill 16 balloons. How many gallons of water did Remy put in each water balloon?
5th grade
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$12.00
Step-by-step explanation:
The cost of each ticket will be $18.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change.
Then the cost of the ticket will be
Cost = ($50 - $23) / 2
Cost = $27
If Tristan used a coupon for 25% off. Then the original price for all tickets will be
Original cost = $27 / 0.75
Original cost = $36
Then the cost of each ticket will be
Cost of each ticket = $36 / 2
Cost of each ticket = $18
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the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.
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Please help me!! I don’t get it
Answer:
x=3
Step-by-step explanation:
Solve for x by cross multiplying.
Math question! Need help! :D
Answer:
3
Step-by-step explanation:
-21/-7 = 3
negative times negative or negative divided by negative is always positive
Find the volume. Whoever answers I will reward the brainliest please help
Answer:
A. 900 un³
Step-by-step explanation:
Volume = Area triangle x height
Area triangle = 1/2 (15 x 8) = 1/2(120) = 60
60 x 15 = 600 + 300 = 900 un³
If my answer is incorrect, pls correct me!
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-Chetan K
Write number sentences using multiplication to show: A. The fraction represented in 1(a) is equivalent to the fraction represented in 1(b).
Answer: We have to write two fractions that are equivalent to 1(a) and 1(b):
1(a) Equivalent fraction to 1(b):
\(\begin{gathered} (a)\Rightarrow\frac{1}{3}=\frac{1}{3}\times\frac{2}{2}=\frac{2}{6} \\ \text{ Equivalent fraction is:} \\ \frac{2}{6}\Rightarrow1(b) \end{gathered}\)Conclusion: The two fractions are Indeed the Equivalent!
There are 650 sixth graders in the school and 338 of them are girls. What percent of the 6th grade students are girls?
Answer:
52% are girls
Step-by-step explanation:
We know that there are 650 sixth-graders and 338 of them are girls, we are then asked to find the percentage of how many are girls.
We have the fraction 338 over 650 but need to reduce it.
To solve this, we need to find the GCF of 650 and 338, which is 26, so divide both the numerator and denominator by 26.
\(\frac{338/26}{650/26}\)
\(\frac{13}{25}\)
Now divide the 13 and 25 :
13 / 25 = 0.52
0.52 * 100 = 52%
Therefore, 52% of the sixth-graders in the school are girls
Answer: 52%
Step-by-step explanation:
338/650 and x/100 since we are trying to find a persentage, we have to make an proportion
338x100=33800 because we cross multiply
33800/650=52 because 33800 is now over 650
And 52 as a persentage is 52% which is how we get to our answer of 52%
I hope this helps
Hopefully it's brainliest
Hans wants to rent a boat and spend less than $47. The boat costs $7 per hour, and Hans has a discount coupon for $9 off. What are the possible numbers of hours Hans could rent the boat? Use t for the number of hours. Write your answer as an Inequality solved for t.
Answer:
t < 8
Explanation:
Given that Hans wants to spend less than $47
Let t represent the number of time (in hours) Hans can spend with his budget.
The the inequality below is correct
\(7t-9<47\)As he is only willing to spend less than $47 despite having a $9 coupon
Solving for t
Add 9 to both sides of the inequality
\(\begin{gathered} 7t-9+9<47+9 \\ \\ 7t<56 \end{gathered}\)Divide both sides by 7
\(\begin{gathered} \frac{7t}{7}<\frac{56}{7} \\ \\ t<8 \end{gathered}\)What concentration unit is necessary for the calculation of vapor pressure lowering of a solvent? molality of solvent mass fraction of solvent mole fraction of solvent mole fraction of solute molarity of solute
The concentration unit necessary for the calculation of vapor pressure lowering of a solvent is molality of solvent.
Molality (m) is defined as the number of moles of solute per kilogram of solvent. It is a more suitable concentration unit for this calculation because it keeps the temperature and pressure constant, and it accounts for the mass of the solvent rather than its volume.
The vapor pressure of a solvent is lowered when a non-volatile solute is added to it. This phenomenon is known as the Raoult's law. According to Raoult's law, the vapor pressure of the solvent is proportional to its molality (m), which is the concentration of the solvent. Therefore, to calculate the vapor pressure lowering, it is essential to know the molality of the solvent.
Other concentration units such as mass fraction of solvent, mole fraction of solvent, mole fraction of solute, and molarity of solute are not directly related to the vapor pressure lowering calculation. They may have other applications in different contexts, but for the specific calculation of vapor pressure lowering, molality of the solvent is the appropriate concentration unit.
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In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. This graph shows the proportions that the different renewable energy sources could supply. Approximately how many megawatts of electricity could be supplied by Hydropower in 2017?
700
1700
2300
7000
Approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017. Option B is correct.
Given that,
In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. The graph shows the proportions that the different renewable energy sources could supply.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here, from the graph contribution of the hydropower is 18.2%.
So the electricity produced through hydropower is,
= 9309 * 18.2%
= 9309 * 18.2/100
= 1694.23
≈ 1700 megawatts
Thus, approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017.
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the high temperature x (in degrees fahrenheit) on january days in columbus, ohio varies according to the normal distribution with mean 21 and standard deviation 10. the value of p(x > 10) is
To find the probability that the high temperature (x) on January days in Columbus, Ohio is greater than 10 degrees Fahrenheit, we can utilize the properties of the normal distribution with the given mean and standard deviation.
We know that the normal distribution is characterized by its mean (μ) and standard deviation (σ). In this case, the mean is 21 degrees Fahrenheit and the standard deviation is 10 degrees Fahrenheit.
To calculate the probability, we need to find the area under the normal curve to the right of the value 10. Since the normal distribution is symmetric, we can calculate this by finding the area to the left of 10 and subtracting it from 1.
To do this, we need to standardize the value 10 using the z-score formula:
z = (x - μ) / σ,
where z represents the standardized score, x is the value of interest, μ is the mean, and σ is the standard deviation.
Plugging in the values, we have:
z = (10 - 21) / 10 = -1.1.
Using a standard normal distribution table or a statistical software, we can find the area to the left of -1.1. Let's assume this value is approximately 0.1357.
To find the area to the right of 10, we subtract the area to the left from 1:
p(x > 10) = 1 - 0.1357 = 0.8643.
Therefore, the probability that the high temperature on January days in Columbus, Ohio is greater than 10 degrees Fahrenheit is approximately 0.8643 or 86.43%.
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The probability of the high temperature on January days in Columbus, Ohio being greater than 10 degrees Fahrenheit is 86.43%.
To find the probability of x being greater than 10 degrees Fahrenheit, we need to calculate the area under the normal curve to the right of 10. This can be done by standardizing the value of 10 using the z-score formula. The z-score is calculated by subtracting the mean from the value (10 - 21) and dividing it by the standard deviation (10).
z = (10 - 21) / 10 = -1.1
Next, we look up the area to the right of the z-score of -1.1 in the standard normal distribution table or use statistical software. The area to the right of -1.1 is equivalent to the probability of x being greater than 10.
Using the standard normal distribution table or software, we find that the area to the right of -1.1 is approximately 0.8643. Therefore, the probability of the high temperature on January days in Columbus, Ohio being greater than 10 degrees Fahrenheit is approximately 0.8643 or 86.43%.
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Find the difference of (t-8)-(t-15)
Answer:
T=7
Step-by-step explanation:
(T-8) x (-t+15)
Then 15-8
T= 7
Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps.
Find the Percent of increase
thats all she wrote
A percentage is a way to describe a part of a whole. The percentage increase of Magikarps is 100%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps. Therefore, The percentage increase of Magikarps is,
Percentage increase = (16-8)/8 × 100% = 100%
Hence, The percentage increase of Magikarps is 100%.
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Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) ∫ e^x/(e^x + 1)^13 dx =
The indefinite integral of e^x/(e^x + 1)^13 with respect to x is -1/12(e^-x/(e^x + 1)^12) + C.
To evaluate the indefinite integral, we can use the substitution u = e^x + 1. Then du/dx = e^x, and dx = du/e^x.
Substituting these into the integral, we have:
∫ e^x/(e^x + 1)^13 dx = ∫ 1/(u^13 - u^12) du/e^x
= ∫ 1/u^12(1 - 1/u) du/e^x
= ∫ (u^-12 - u^-13) du/e^x
Integrating each term separately, we get:
∫ u^-12/e^x du - ∫ u^-13/e^x du
= (-1/11)(e^-x/u^11) - (-1/12)(e^-x/u^12) + C
Substituting back for u, we get:
-1/12(e^-x/(e^x + 1)^12) + C, as the final answer.
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can somebody help me
Please help I don't Understand!
Answer: SAS similarity theorem
Proportional relationship:
\(\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}\)
insert values
\(\rightarrow \sf \dfrac{21+9}{14+6} = \dfrac{21}{14}\)
simplify
\(\rightarrow \sf 1 = 1\)
L.H.S = R.H.S
The triangles are congruent and follows the rule SAS similarity theorem.
The triangles has/starts from the same angle, corner (A).
A stock just paid a dividend of $1.55. The dividend is expected to grow at 26.56% for three years and then grow at 3.42% thereafter. The required return on the stock is 14.40%. What is the value of the stock?
Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)
= $1.55(1 + 26.56%)
= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)
= $2.48(1 + 26.56%)
= $3.
= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r
= required rate of return Let us substitute the values now PV of the future dividends
= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends
= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends
= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock
= PV of the future dividends Value of the stock
= $7.54
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samanth drew this pictogram
Answer:
la verdad noce no me acuerdo
Answer:
4
Step-by-step explanation:
There are 6 grey diamonds in the row labelled "cat".
Each diamond means two hours.
6 × 2 = 12
Samanth's table shows that cats sleep 12 hours.
Tony is going to use a circle that means 3 hours.
12 ÷ 3 = 4
Tony needs 4 circles to show 12 hours.
4 × 3 = 12
Tony will use 4 circles.
find a function whose maclaurin expansion is 1 + x3 + x6 2! + x9 3! + x12 4!
The function is \(e^{(x^3)}\) whose Maclaurin expansion is 1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...
The Maclaurin series of a given function is represented as a sum of terms with increasing powers of x and decreasing factorials. The Maclaurin series you provided is:
1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...
This series can be rewritten as:
∑ \((x^{(3n)} )/n!\) for n=0 to infinity.
This expansion resembles the Maclaurin series for \(e^x\), which is:
\(e^x\) = ∑ \(x^n\)/n! for n=0 to infinity.
However, in the given series, the powers of x are in multiples of 3. To adjust the standard exponential function to match the provided series, you can use the substitution \(x^3\) = u:
\(e^u\) = ∑ \(u^n\)/n! for n=0 to infinity.
Now, substitute \(x^3\) back for u:
\(e^{(x^3)}\) = ∑ \((x^{(3n)} )/n!\) for n=0 to infinity.
Therefore, the function whose Maclaurin expansion matches the given series is f(x) = \(e^{(x^3)}\).
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The Ponce de Leon lighthouse in St. Augustine, Florida, is the second tallest brick tower in the United States. It was built in 1887 and rises 175 feet above sea level. How far from the base of the lighthouse is a motorboat if the angle of depression from the top of the lighthouse is 13°15'?
Answer:
B on E2020
Step-by-step explanation: ok
Evaluate 2 + 3n if n = 5
Answer:
your awnser is n=1 if i wrong just message me but I'm positive that is the awnser
farmer has 200 feet of fencing to build rectangular chicken pen along side of barn, what is largest area possible
The largest area possible is when the length and width of the chicken pen are both 100 feet. In that case, the area of the chicken pen would be 10,000 square feet.
We are given that the farmer has 200 feet of fencing to build a rectangular chicken pen along the side of a barn. We need to find the largest possible area the chicken pen can have.
To do this, we need to find the length and width of the chicken pen such that the total amount of fencing used is 200 feet.
Since the total amount of fencing needed is 200 feet, the length and width of the chicken pen must both be 100 feet. In this case, the area of the chicken pen would be 10,000 square feet.
Therefore, the largest area possible is 10,000 square feet when the length and width of the chicken pen are both 100 feet.
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You bought a $500 stereo on an installment plan and made two payments of $75 each during the year. On your income and expense statement for the year, you will show an expense of:
Depending on the accounting method used, the expense shown on the income and expense statement for the year would either be $150 or $500.
When purchasing a $500 stereo on an installment plan, the expense recorded on the income and expense statement for the year will depend on the accounting method used.
1. Cash Basis Accounting:
Under cash premise bookkeeping, costs are recorded when money is paid. In this case, since you made two payments of $75 each during the year, the expense recorded would be the total amount of cash paid, which is $75 x 2 = $150.
2. Accrual Basis Accounting:
Under accrual basis accounting, expenses are recorded when they are incurred, regardless of when the cash is paid. In this case, the expense recorded would be the total cost of the stereo, which is $500. The payments made during the year would be recorded as a reduction in the accounts payable liability associated with the stereo purchase.
Therefore, depending on the accounting method used, the expense shown on the income and expense statement for the year would either be $150 (cash basis accounting) or $500 (accrual basis accounting). It's important to note that the chosen accounting method should align with the accounting principles and regulations applicable to your situation.
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Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?
Your answer:
if you do solve please make an explanation :)
Answer:
33.33%
Step-by-step explanation:
75*100=7500
7500/225=33.3333333
What is the volume, in cubic inches, of a packing box if its dimensions are 40 inches long, 30 inches wide, and 20 inches high?.
The volume, in cubic inches, of a packing box is 24000 cubic inches
What is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.
In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.
The box is a cuboid.
Volume = length*width*height
= 40*30*20
= 24000 cubic inches
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PLS HELP I NEED IT!!!
There is a population of 100,000 bacteria in a colony. If the number of bacteria doubles every 12
hours, what will the population be 24 hours from now?
Answer:400,000
Step-by-step explanation:If it doubles every 12 hours then the first 13 gone be 200,000 then 12 hours later it gone 400,000
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
\(-16t^2 +170t+40=10\\\\16t^2 -170t-30=0\\ \\ t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)\)
if n is the product of all multiples of 10 between 199 and 301, what is the greatest integer m for which n 10 m is an integer?
The greatest integer m for which n 10 m is an integer is 15.
In essence, we must determine how many zeros N contains.
Because N must include m zeroes if m is the largest integer for which \(\frac{N}{10x^{m} }\) is an integer.
The sum of the multiples of 10 between 199 and 301 is equal to the sum of the multiples of 10 between 200 and 300, inclusive.
= \(\frac{(300 - 200)}{10+1}\)
= \(\frac{100}{10+1}\)
= 10 + 1
= 11
As an alternative, we may alternatively list the multiples of 10 in this area.:
200, 210, 220, 230, 240, 250, 260, 270, 280, 290, and 300 --->
∴ 11 multiples of 10
At the end of N, there will be one zero for each of these 11 multiples of 10.
200 and 300 each have one more zero in them -->
∴ 2 more zeroes at the end of N
250 has two 5s in it and there are plenty of 2s to make two more zeroes (as 5×2 = 10) --->
∴ 2 more zeroes at the end of N
Therefore, the total number of zeroes at the end of N
= (11 + 2 + 2)
= 15
Hence 15 is the greatest integer m for which n 10 m is an integer.
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