Answer:
Given that the curved surface area is 250 cm² and the height is 12 m, we need to convert the height to centimeters for consistency.
1 meter = 100 centimeters
Height of the cylinder in centimeters = 12 m * 100 cm/m = 1200 cm
Substituting the known values into the formula:
250 cm² = 2πr * 1200 cm
Dividing both sides of the equation by 2π * 1200 cm:
250 cm² / (2π * 1200 cm) = r
Simplifying:
r ≈ 250 cm² / (2π * 1200 cm)
r ≈ 0.0331 cm
Now that we have the radius (r = 0.0331 cm) and the height (h = 1200 cm), we can calculate the volume of the cylinder using the formula:
Volume = πr²h
Substituting the known values:
Volume = π * (0.0331 cm)² * 1200 cm
Calculating this:
Volume ≈ 0.0331 cm * 0.0331 cm * 1200 cm * π
Volume ≈ 1.34 cm³ * 1200 cm * π
Volume ≈ 1608 cm³ * π
Volume ≈ 5056.67 cm³
Therefore, the volume of the cylinder is approximately 5056.67 cm³.
Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora
Respuesta:
03:40 pm;
15: 40;
20 minutos antes de las 4 pm;
40 minutos después de las 3 pm
Explicación paso a paso:
20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:
Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm
Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40
Además, el tiempo se puede informar en palabras de la siguiente manera:
20 minutos antes de las 4 pm
También ;
40 minutos después de las 3 pm
I need help with number 12. you have to spligy the expression and the answer will reveal a letter
8+9x+4(11-2x)
As a first step we are going to use distributive property of multiplication:
8+9x+44-8x
Solving ths:
52+x
Answer would be M
in a stopwatch time study, the number of cycles that must be timed is a function of: (i) the variability of observed times. (ii) the desired accuracy for the estimated job time. (iii) the desired level of confidence for the estimated job time.
To calculate the number of cycles we need above 3 options
Stop Watch Time Study:
Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.
A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.
Given that
In a stopwatch time study, the number of cycles that must be timed is a function of:
options are
(i) the variability of observed times.
(ii) the desired accuracy for the estimated job time.
(iii) the desired level of confidence for the estimated job time
To calculate the number of cycles we need above 3 options
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g(t) = t^2 - 5 f(t) = -31 - 4 Find g((-4t)
what is the answer to 2x3=1x-4
Answer: x=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
Assuming that no one is born on Feb. 29 (leap day), how many people should be selected to guarantee that at least 4 were born on the same day, not considering the year?
On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.
The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.
Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.
So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.
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what’s 1 2/3 + 5 3/8
Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths
Answer:
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Step-by-step explanation:
In numbers it is written in the order
Th H Tens Units Decimal Tenths Hundredths Thousandths
57 8 0 0 . 0 22
57 8 0 0 . 3
This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze
3/10 and 22/100
Converting them into decimals we get
0.3 and 0.22
therefore 0.3 is greater than 0.22
so Choice a is only correct .
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Answer: The person above me is correct
explanation:
I said that because i don't want no one saying that i copied them
50 points and BRAINLIEST
Answer:
AZ = 12.80
Step-by-step explanation:
There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80
Answer:
12.80
Step-by-step explanation:
SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!
HOPE YOU UNDERSTAND.
Suppose 10 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller? a) O 10 b) O 362,880 c) O 40,320 d) O 100 e) 3,628,800 1) O None of the above.
None of the above. The answer is 10! (10 factorial) which number is 3,628,800.
The number of ways to arrange 10 people in a line is 10! (10 factorial). This is equal to 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
The answer to the question is 10! (10 factorial). This is because in order to determine the number of ways to arrange 10 people in a line, you must multiply the number of people by every number between that number and 1. In this case, it would be 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
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A baker is filling an order which consists of loaves of bread, bags of rolls, and small boxes of croissants. She includes 8 of each item in the order and needs to calculate the weight for the delivery charge.
Bread 600 g per loaf
Rolls 0.25 kg per bag
Croissants 90 g per box
How many kilograms of baked goods are in the order?
A.
5.52 kg
B.
7.52 kg
C.
14 kg
D.
5.72 kg
Answer:
Step-by-step explanation:
A
Two friends are planning for a gathering. the food budget is modeled by one half times the absolute value of the quantity x minus 120 end quantity equals 10 comma where x is the amount spent on food. what are the least and greatest amounts that the two friends could spend on food? $50, $70 $100, $140 $110, $130 $115, $125
The least amount is $100 and greatest amount is $140.
For given question,
We have been given the food budget is modeled by an equation,
1/2 |x - 120| = 10
where x is the amount spent on food.
We need to find the least and greatest amounts that the two friends could spend on food.
⇒ 1/2 |x - 120| = 10
⇒ |x - 120| = 20
We can observe that above equation contains absolute vale function.
⇒ x - 120 = ±20
⇒ x - 120 = -20 or x - 120 = 20
⇒ x = 120 - 20 or x = 120 + 20
⇒ x = 100 or x = 140
Therefore, the least amount is $100 and greatest amount is $140.
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Suppose that $2000 is invested at a rate of 2.8%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 3 years.
Do not round any intermediate computations, and round your answer to the nearest cent.
The value of total amount after 3 years is,
⇒ A = $2252.324
We have to given that;
Amount $2000 is invested at a rate of 2.8%, compounded semiannually.
Since, We know that,
Formula for final amount is,
\(A = P (1 + \frac{r}{n} )^{nt}\)
Where,
A = final amount
p = principal = 2000
r = interest rate = .04
n = Number times compounded pet year = 2
t = time in years = 3
Hence, Substitute all the values, we get;
A = 2000(1+.04/2)⁶
A = 2000(1.02)⁶
A = 2000 × 1 .12
A = $2252.324
Thus, The value of total amount after 3 years is,
⇒ A = $2252.324
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A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer of the machine would like to set the control limit in such a way that, for samples of 47, 5% of the sample means will be greater than the upper control limit, and 5% of the sample means will be less than the lower control limit.
If the population mean shifts to 7.8, what is the probability that the change will be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
If the population mean shifts to 8.6, what is the probability that the change will be detected? (Round your intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
1. When the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).
2. The probability of detecting the change is 0.0495 or 4.95%.
To solve this problem, we'll use the concept of control limits and the sampling distribution of the sample means.
When the population mean shifts to 7.8: First, let's calculate the standard deviation of the sampling distribution, also known as the standard error (SE). The formula for SE is given by SE = σ / sqrt(n), where σ is the standard deviation of the population (1.0 ounce) and n is the sample size (47).
SE = 1.0 / sqrt(47) ≈ 0.145
Next, we need to determine the z-score corresponding to the lower and upper tails of the sampling distribution that capture 5% each. Since the total probability in both tails is 10%, each tail will have a probability of 5%. We can find the z-scores using a standard normal distribution table or calculator.
The z-score corresponding to the lower tail of 5% is approximately -1.645.
The z-score corresponding to the upper tail of 5% is approximately 1.645.
Now, let's calculate the lower and upper control limits:
Lower Control Limit (LCL) = Population Mean - (z * SE)
Upper Control Limit (UCL) = Population Mean + (z * SE)
LCL = 7.8 - (-1.645 * 0.145) ≈ 8.026
UCL = 7.8 + (1.645 * 0.145) ≈ 9.574
To find the probability of detecting the change, we need to calculate the area under the sampling distribution curve that falls beyond the control limits. In this case, we're interested in the area above the upper control limit.
Since the distribution is assumed to be normal, we can use the standard normal distribution's cumulative distribution function (CDF) to calculate this probability.
Probability of detecting the change = 1 - CDF(z-score for UCL)
Using the z-score for the upper control limit (UCL), we can calculate the probability.
Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495
Therefore, when the population mean shifts to 7.8, the probability of detecting the change is approximately 0.0495 (or 4.95%).
When the population mean shifts to 8.6: We'll follow the same steps as before.
SE = 1.0 / sqrt(47) ≈ 0.145
The z-score corresponding to the lower tail of 5% is still approximately -1.645.
The z-score corresponding to the upper tail of 5% is still approximately 1.645.
LCL = 8.6 - (-1.645 * 0.145) ≈ 8.926
UCL = 8.6 + (1.645 * 0.145) ≈ 10.274
Probability of detecting the change = 1 - CDF(z-score for UCL)
Probability of detecting the change ≈ 1 - CDF(1.645) ≈ 0.0495
Therefore, when the population mean shifts to 8.6, the probability of detecting the change is also approximately 0.0495 (or 4.95%).
In both cases, the probability of detecting the change is 0.0495 or 4.95%.
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Can someone explain step by step ?
Answer:
e = 128
Step-by-step explanation:
All of the angles equal 180
26 + 26 = 52
180 - 52 = 128
Q3) (25p) Solve the following 0-1 integer programming model problem by implicit enumeration. Maximize 2x1 −x2 −x3
Subject to
2x1+3x2−x3 ≤4
2x2 +x3 ≥2
3x1 + 3x2 + 3x3 ≥6
x1 ,x2 ,x 3 ∈{0,1}
The 0-1 integer programming problem is solved using implicit enumeration to maximize the objective function 2x1 - x2 - x3, subject to three constraints. The optimal solution to the 0-1 integer programming problem is x1 = 0, x2 = 1, and x3 = 1, with a maximum objective function value of 1.
The optimal solution is found by systematically evaluating all possible combinations of binary values for the decision variables x1, x2, and x3 and selecting the one that yields the highest objective function value.
To solve the 0-1 integer programming problem using implicit enumeration, we systematically evaluate all possible combinations of binary values for the decision variables x1, x2, and x3. In this case, there are only eight possible combinations since each variable can take on either 0 or 1. We calculate the objective function value for each combination and select the one that maximizes the objective function.
The first constraint, 2x1 + 3x2 - x3 ≤ 4, represents an upper limit on the sum of the decision variables weighted by their coefficients. We check each combination of x1, x2, and x3 to ensure that this constraint is satisfied.
The second constraint, 2x2 + x3 ≥ 2, represents a lower limit on the sum of the decision variables weighted by their coefficients. Again, we check each combination of x1, x2, and x3 to ensure that this constraint is met.
The third constraint, 3x1 + 3x2 + 3x3 ≥ 6, imposes a lower limit on the sum of the decision variables weighted by their coefficients. We evaluate each combination of x1, x2, and x3 to verify that this constraint is satisfied.
By evaluating all eight combinations and calculating the objective function value for each, we determine that the optimal solution occurs when x1 = 0, x2 = 1, and x3 = 1. This combination yields the maximum objective function value of 1. Therefore, the solution to the 0-1 integer programming problem, maximizing 2x1 - x2 - x3, subject to the given constraints, is achieved when x1 = 0, x2 = 1, and x3 = 1, resulting in an objective function value of 1.
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Multiply (4a+3)(4a−3)
Answer:
16a² - 9
Step-by-step explanation:
This is the product of a sum and a difference and follows the pattern:
(a + b)(a - b) = a² - b²
(4a + 3)(4a - 3) = (4a)² - (3)² = 16a² - 9
Rozwiązanie w załączniku
A consumer report revealed the following information about three tubes of toothpaste. A tube of Bright is 60% more expensive than a tube of Fresh and has 25% less volume than Glow. A tube of Glow is 25% less expensive than a tube of Bright and has 100/3 more volume than Fresh. Fresh costs 1. 00$ per unit of volume. What is the number of cents per unit of volume of Glow?
Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.
Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:
z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)
v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)
y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)
v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)
We can substitute the first equation into the second equation to eliminate z:
v3 = 0.75v2
(substitute v2 = 0.75z and v1 = 1)
0.75v2 = 0.75(0.75z + 100/3)
0.75v2 = 0.5625z + 25
(substitute z = 1.6y and v2 = v1 + 100/3)
0.75(v1 + 100/3) = 0.5625(1.6y) + 25
0.75v1 + 25/3 = 0.9y + 25
0.75v1 = 0.9y + 50/3
We can substitute the third equation into the fourth equation to eliminate y:
v2 = v1 + 100/3
(substitute y = 0.75z)
0.75z = 0.75(0.75y) + 100/3
z = y + 16/9
(substitute z = 1.6y)
1.6y = y + 16/9
y = 16/27
Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.
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solve for X please help i need it fast
Answer:
x = 20
Step-by-step explanation:
\(\frac{10}{x}\) = \(\frac{x}{40}\)
We cross-multiply and get
400 = \(x^{2}\)
\(\sqrt{400}\) = \(\sqrt{x^{2} }\)
x = 20
So, the answer is x = 20
Define functions f and g from R to R by the following Formulas : For all x is an element of Real Numbers. F(x)=2x and g(x)=(2x^(3)+2x)/(x^(3)+1) Does f=g ?
f(x) ≠ g(x) for all x in the real numbers.
To determine if f(x) = g(x), we need to check if they are equal for all x in the real numbers.
f(x) = 2x
g(x) = (2x^3 + 2x) / (x^3 + 1)
We can simplify g(x) by factoring out 2x from the numerator:
g(x) = 2x (x^2 + 1) / (x^3 + 1)
Now, we can see that f(x) and g(x) are not equal for all values of x in the real numbers, since g(x) has an additional factor of (x^2 + 1) in the denominator compared to f(x). Therefore, f(x) ≠ g(x) for all x in the real numbers.
In other words, the functions f and g are not the same function, as they have different formulas and produce different outputs for some (or all) values of x.
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(4/4)(4)(4)(4)(4)(4)(4) =
Answer: 4096
Step-by-step explanation:
8. The number of iTunes downloaded by 25 students in one week ranges from 15 to 55. The box and whisker plot depicts this data.
Answer:
The answer is C
Step-by-step explanation:
A line passes through the point (4,-9) and has a slope of -5/4 Write an equation in point- slope form for this line
The equation in point-slope form is:
\(y=mx+b\)where m is the slope and b is the y-intercept.
We are told the slope of this line. Then, we can replace this value in the equation as follows:
\(y=-\frac{5}{4}x+b\)As we have one point (x, y) that passes through this line, we can replace it in the x and y values and solve for b as follows:
\(-9=-\frac{5}{4}\times4+b\)Simplifying:
\(-9+5=b\)\(b=-4\)Answer:
\(y=-\frac{5}{4}x-4\)
In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.
Answer:
HAT AM
HAM
MAT
AT
Step-by-step explanation:
(if you can repeat the letters)
THAT
hopefully this helps and i didnt miss any words
WORKED EXAMPLES
Try Vertical Angle Problems
ZC and Dare vertical angles.
m_C=° and mZD=(-3x +80)°
What is mZC
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
Vertical angles are equal to each other
x = -3x + 80
x + 3x = 80
4x = 80 divide both sides by 4
x = 20
For this Data exercise you need to do the following (1) Go to the internet and gather data that has two variables that you believe are related to each other. One should be the dependent variable that you are trying to explain and the other should be the independent variable that does the explaining. You need to have at least 50 observations but more observations are better (i.e. don't truncate a longer data set to only have 50 observations). Your project should not be the same as anyone else's in the class (if you work by yourself this should not be an issue). You should also not use a data set that has been put together for you from a textbook.
According to the question Gather unique dataset (50+ observations) with dependent and independent variables, analyze using statistical software to explore relationships and perform hypothesis testing.
To complete this data exercise, you should begin by selecting a topic of interest that involves two variables with a potential relationship. It is crucial to choose a unique project that differs from others in your class. Avoid using datasets provided by textbooks and instead search for reliable sources on the internet.
Look for government databases, research publications, surveys, or publicly available datasets. Ensure your dataset contains at least 50 observations, although more would be preferable. Once you have obtained the data, assess its quality, clean any inconsistencies, and organize it for analysis.
Utilize statistical software or programming languages like Python or R to perform exploratory data analysis, investigate correlations, conduct hypothesis testing, and quantify the relationship between the dependent and independent variables.
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This is confusing! Help me show my work and explain:( Its only for number 15
Answer:
2 gallons
Step-by-step explanation:
that blank you have would be "1"
you would create that 10.5/7 and divide that so
Jan's ratio: (2:0.5)Matt's ratio: (3:2)2x+0.5x=10divide both sides by 2.5 (x=4)3x+2x=105x=10 and then divide both sides by 5x=2Jan used 8 gallons of orange juice to make 10 gallons of punch, and Matt used 6 gallons of orange juice to make 10 gallons of punch subtract 8-6=2 gallons-3-3(-1+7x)=-6(6+4x)
I need help!
Answer:
not equivalent
Step-by-step explanation:
-3-3(-1+7x)=-6(6+4x)
-6(-1+7x)=-6(6+4x) distribute the -6 on the outside of the "( )" on both sets
6-42x= -36-24x
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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Algebra 1 PLEASE HELP ASAAP
Answer: C
Step-by-step explanation: