The cost of putting on a play is $500 for the theater rental, $500 for the actors, and $750 for set decorations and costumes. If tickets are sold for $25 each, how many tickets need to be sold to reach the break-even point?
Answer:
The total cost of putting on the play is $500 for theater rental + $500 for actors + $750 for set decorations and costumes = $1750.
To reach the break-even point, the revenue from ticket sales needs to equal the total cost, so $1750 = $25 x (number of tickets sold).
Solving for the number of tickets sold, we can divide both sides by $25: $1750 / $25 = (number of tickets sold).
This gives us: 70 = number of tickets sold.
Therefore, Mr. Curry needs to sell 70 tickets to reach the break-even point.
Step-by-step explanation:
What’s the error ???
Answer:
A.
Stepby-step explanation:
Answer the questions about the following polynomial.
−1/6 − 7x − 9x^4 + x3 :
The expression represents a _ polynomial with _ terms. The constant term is _, The leading term is _, and the leading coefficient is _.
The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."
what is polynomial ?A polynomial is a mathematical operation with factors and uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x Plus 7. The word "polynomial" refers to an expression in mathematics that consists of variables (also referred to as "indeterminates") and coefficients that can be introduced, subtracted, repeated, and raised to minus integer ones of non-variables. A polynomial is an algebraic expression with factors and coefficients. Only addition, deduction, multiplication, and non-negative numerical exponents are permitted in expressions. The term for these expressions is polynomials.
given
Given circumstance;
Any equation, like 2x³ + 3x + 1,
This is how the equation is written: ax³ + bx + c
In this case, a = dominating Coefficient;
leading term Equals x³
Constant term Means
The key phrase in this question is "leading term equals x3," "highest coefficient is 2," and "1 is a fixed integer."
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Can an empty set be a universal set?
Answer:
The empty set is defined as the complement of the universal set. That means where Universal set consists of a set of all elements, the empty set contains no elements of the subsets. The empty set is also called a Null set and is denoted by '{}'.
HOPE IT HELP YOU!
Answer:
The empty set is defined as the complement of the universal set. That means where Universal set consists of a set of all elements.
is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.
To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.
The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.
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Please help and show work
Answer:
88$
Step-by-step explanation:
so, each of gourd is 2$ if she gives 2gourds each of them then 2*2 =4
then she has 22 students in her classroom so she will spend 22*4=88.
find the jacobian of the transformation. x = 6e−3r sin(3), y = e3r cos(3) ∂(x, y) ∂(r, ) =
The Jacobian of the transformation is: ∂(x, y) / ∂(r, θ) = [ -18e^(-3r)sin(θ) 6e^(-3r)cos(θ) ] [ 3e^(3r)cos(θ) -e^(3r)sin(θ) ]
To find the Jacobian of the transformation given by x = 6e^(-3r)sin(θ) and y = e^(3r)cos(θ), we need to compute the partial derivatives of x with respect to r and θ, and the partial derivatives of y with respect to r and θ.
The Jacobian matrix is given by:
J = [ ∂x/∂r ∂x/∂θ ]
[ ∂y/∂r ∂y/∂θ ]
Let's calculate the partial derivatives:
∂x/∂r = -18e^(-3r)sin(θ)
∂x/∂θ = 6e^(-3r)cos(θ)
∂y/∂r = 3e^(3r)cos(θ)
∂y/∂θ = -e^(3r)sin(θ)
Now we can assemble the Jacobian matrix:
J = [ -18e^(-3r)sin(θ) 6e^(-3r)cos(θ) ]
[ 3e^(3r)cos(θ) -e^(3r)sin(θ) ]
Therefore, the Jacobian of the transformation is:
∂(x, y) / ∂(r, θ) = [ -18e^(-3r)sin(θ) 6e^(-3r)cos(θ) ]
[ 3e^(3r)cos(θ) -e^(3r)sin(θ) ]
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Helppppp plzzzzzzzz
No links please and thank you .
Answer:
for the first picture: 2.16
Step-by-step explanation:
12% of 18 is 2.16:
-convert 12 % to a decimal so 0.12 times 18
also, 12 % percent is 0.12 as a decimal because you move the decimal 2 places to the left to get .12
- multiply 0.12 times 18 to get 2.16 as the answer
I hope this helped for the first pic!
Simplify the given expression below:
(3 + 4i) + (5 - 2i)
1) -2 + 6i
2) 2 - 2i
3) 7 +3i
4) 8 + 2i
Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
Three friends went to lunch and ordered the special. They had a coupon of $10 off the bill and they spent $35 in all. Write an equation to represent this situation.
Answer:
35-10/3
Step-by-step explanation:
If a=3 and b=5 , find a/(a+b)=
If a = 3 and b = 5, find a/(a+b).
\( \bf \frac{a}{a + b} = \\ \\ \bf = \frac{3}{3 + 5} = \\ \\ \bf = \red { \boxed{ \bf \frac{3}{8}} } \)
an account with an apr of 4% and quarterly compounding increases in value every three months by
a.1%
b.1/4%
c.4%
The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.
Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.
To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.
Your answer: a. 1%
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At 11:26 A.M., Ling began cleaning the kitchen. She finished at 12:00 P.M. How long did it take Ling to clean the kitchen?
Answer: 34 minutes
Step-by-step explanation: 1126 + 34 is 1160, or 12:00
Answer:
It took 34 minutes.
Step-by-step explanation:
We know there are 60 minutes in an hour. It is 26 minutes into the hour, so we do 60-34(Minutes) and we get 34.
Answer: 34 minutes to clean the kitchen
find the area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x)
The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.
In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)
Equating both the equations of the curve,
6x^2 ln(x) = 24 ln(x)
24 ln(x) - 6x^2 ln(x) = 0
x = 1, 2
This means, the curves intersect at x = 1 and x = 2.
So, the required area would be,
A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx
= -6 ∫[-4 ln(x) + x^2 ln(x)] dx
= -6 ∫ln(x) (x^2 - 4) dx
= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x
So, ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)
= 32 ln(2) - 58/3
= 22.18 - 19.33
= 2.85 sq.units.
Therefore, the area of the region is 2.85 sq.units.
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Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.75 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.
y = $0.75x + $4.95 what does y=
Given that abcd is a rhombus, determine the length of each diagonal, ac, and bd if m∠ade=20° and ad = 8cm. please help and show me how you did it
The length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm
Rhombus is a special type of parallelogram in which all four sides are congruent. The opposite angles of a rhombus are also congruent, and the diagonals bisect each other at right angles.
Now, let's consider the given rhombus abcd, where ad = 8cm and m∠ade=20°. We need to determine the length of diagonals ac and bd.
First, let's use the law of cosines to find the length of side ae. We know that ad = 8cm, and m∠ade=20°, so we can use the formula:
ae² = ad² + de² - 2ad(de)cos(m∠ade)
Substituting the values, we get:
ae² = 8² + de² - 2(8)(de)cos(20°)
Next, we can use the fact that a rhombus has all sides congruent to find the length of side de. Since abcd is a rhombus, we know that ac and bd are also congruent diagonals that bisect each other at right angles. Therefore, we can draw diagonal ac and use the Pythagorean theorem to find the length of ac:
ac² = (ae/2)² + (de/2)²
Substituting ae² from the previous equation, we get:
ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²
Simplifying the equation and using the fact that ac and bd are congruent, we get:
bd² = ac² = (8² + de² - 2(8)(de)cos(20°))/2
Finally, we can use the Pythagorean theorem to find the length of diagonal bd:
bd² = ab² + ad²
Substituting ab = ac/2 and ad = 8cm, we get:
bd² = (ac/2)² + 8²
Substituting ac² from the previous equation, we get:
bd² = ((8² + de² - 2(8)(de)cos(20°))/8)² + 8²
Simplifying the equation, we get:
bd ≈ 12.22 cm
Similarly, we can solve for ac using the equation we derived earlier:
ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²
Substituting de ≈ 9.84cm (which we can solve for from the equation ae² = 8² + de² - 2ad(de)cos(m∠ade)), we get:
ac ≈ 15.58 cm
Therefore, the length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
Can anyone help me with this??
Answer:
find the cordinates of each letter or number then find witch is greater or less than when your answering it
Step-by-step explanation:
can someone help me out plz
Pls help I need a lot ive failed this 3 times I can't fail again ahhh please help
Answer:
Answer is 1st. Because
When you flip something you cannot flip the midpoints.
Use long division to find the quotient below.
(8x3 + 4x2 + 100) = (2x + 5)
A. 4x2 + 12x + 20
B. 4x2 + 8x+ 20
C. 4x2 - 12x+ 20
D. 4x2 - 8x + 20
Answer:
D
Step-by-step explanation:
D 4x2-8x+20
May someone help me with this problem?
Answer:
\(a. \: \: \frac{ {4x}^{6} }{ {y}^{3} } \\ \)
\(b. \: \: \frac{ {8x}^{3} }{ {y}^{ 1\frac{1}{3} } } \\ \)
Step-by-step explanation:
a.\( {( {4x}^{ - 2} y)}^{ - 3} \\ {4x}^{ - 2 \times - 3} \: \: {y}^{1 \times - 3} \\ {4x}^{6} {y}^{ - 3} \\ \frac{ {4x}^{6} }{ {y}^{3} } \\ \)
b.\( {( {8x}^{6} {y}^{ - 3}) }^{ \frac{1}{2} } \\ {8x}^{6 \times \frac{1}{2} } \: \: {y}^{ - 3 \times \frac{1}{2} } \\ {8x}^{3} {y}^{ - \frac {3}{2} } \\ \frac{ {8x}^{3} }{ {y}^{ 1\frac{1}{3} } } \\ \)
Jacob is building a square pyramid for a class project. He needs to cover the entire pyramid in aluminum foil. The base of the pyramid has a perimeter of 76 centimeters. The slant height of each triangular side is 28 centimeters. What is the surface area, in square centimeters, of Jacob’s pyramid?
The surface area of the pyramid is 390.8 cm².
What is the surface area of the triangular pyramid?The surface area of the triangular pyramid is calculated as follows;
S.A = base area + ¹/₂ (perimeter + slant height)
The height of the pyramid is calculated by applying Pythagoras theorem;
h = √ (28² - 14²)
h = 24.2 cm
Area of the base = ¹/₂ x 28 cm x 24.2 cm = 338.8 cm²
The surface area of the pyramid is calculated as follows;
S.A = 338.8 cm² + ¹/₂ (76 cm + 28 cm)
S.A = 390.8 cm²
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Answer:
1,425
Step-by-step explanation:
I got this one correct
A storekeeper of an electronics company may have to deal with many types of materials that may kept in the store. Explain with suitable examples, FIVE (5) classes of materials that a storekeeper may be involved. (25 marks, 400 words)
Storekeepers in electronics companies deal with various types of materials. Five classes of materials include electronic components, raw materials, finished products, packaging materials, and maintenance supplies.
Electronic Components: Storekeepers are responsible for managing a wide range of electronic components such as resistors, capacitors, integrated circuits, connectors, and other discrete components. These components are essential for assembling electronic devices and are typically stored in organized bins or cabinets for easy access.
Raw Materials: Electronics companies require various raw materials for manufacturing processes. Storekeepers handle materials like metals, plastics, circuit boards, cables, and other materials needed for production. These materials are usually stored in designated areas or warehouses and are monitored for inventory levels.
Finished Products: Storekeepers are also responsible for storing and managing finished products. This includes fully assembled electronic devices such as smartphones, computers, televisions, and other consumer electronics. They ensure proper storage, tracking, and distribution of these products to customers or other departments within the company.
Packaging Materials: Packaging plays a crucial role in protecting and shipping electronic products. Storekeepers handle packaging materials such as boxes, bubble wrap, foam inserts, tapes, and labels. They ensure an adequate supply of packaging materials and manage inventory to meet packaging requirements.
Maintenance Supplies: Electronics companies often require maintenance and repair supplies for their equipment and facilities. Storekeepers handle items like tools, lubricants, cleaning agents, safety equipment, and spare parts. These supplies are necessary to support ongoing maintenance activities and ensure the smooth operation of machinery and infrastructure.
Overall, storekeepers in electronics companies deal with a diverse range of materials, including electronic components, raw materials, finished products, packaging materials, and maintenance supplies. Effective management of these materials is crucial to ensure smooth operations, timely production, and customer satisfaction.
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awscalculate mse for each region. is the variability·around the fitted regression line approxi- mately the same for the four regions? discuss.
In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.
Once you have this dataset, you can calculate the MSE using the following formula:
MSE = 1/n x ∑(yi - ŷi)²
where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.
If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.
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The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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A synthetic fiber used in manufacturing carpet has tensile that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. (a) Find the probability that a random sample of n = 6 fiber specimens will have a sample mean tensile strength that exceeds 75.75 psi. 75.75 - р X- р M P[X > 75.75] = P o In o Tn 75.75 – 75.5 P[X > 75.75] = P2> 3.5 va = P[Z > 0.175] = 1-0(0.175) = 0.4325 BC (b) How is the standard deviation of the sample mean changed when the sample size is increased from n = 6 to n = 49?
The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.
Given that,
The tensile strength of a synthetic fiber used to make carpet is regularly distributed, with a mean of 75.5 psi and a standard deviation of 3.5 psi. We have to determine probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi.
We know that,
The Z score is used to determine how far the raw score deviates from the mean, either above or below.
z = (score - mean) / (standard deviation ÷ √sample)
Mean 75.5 psi and standard deviation 3.5 psi. n = 6.
For > 75.75:
z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17
P(z>0.17) = 1-P(z<0.17)
= 1-0.5675
= 43.25%
Therefore, The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.
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Using complete sentences, describe a ratio relationship that has a ratio of 2:5.
Answer:
Step-by-step explanation:2:5 would be basically 2/5 and you could say that the ratio of
Girls to boys is 2:5
Mateo has been studying after school while preparing for a test retake. His work paid off ! His score on the retake was a 94. This was quite a difference from the grade on his first attempt which was a 68. What is the approximate percent of change between the two tests?
Answer:
28%
Step-by-step explanation:
We know that 100 percent is total. Mateo first scored 68/100, then a retake got his score up to 94/100.
First, subtract the two numbers
94 - 68 = 26
Put 26 over 94 to make this 26/94
Divide to get 0.28 (simplified and rounded)
So the increase was 28%
Answer:
increase of 28?
Step-by-step explanation:
Okay so, I believe it is 28, let me explain. First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.
The average time to serve a customer at a fast-food restaurant is 5 minutes. The standard deviation of the service time is 4 minutes. What is the coefficient of variation of the service time
=13.62
step-by-step explanation- We are given the interarrival time (a = 15 min), service time (p = 20 min), number of servers (m = 3 people), standard deviation of interarrival time (15 min) and standard deviation of service time (60 min). - Therefore, the coefficient of variation of arrival times is 15 / 15 = 1 and the coefficient of variation of service times is 60 / 20 = 3. Moreover, the utilization is 20 / (15 x 3) = 0.4444. Therefore, the average time in the queue is 6.6667 x 0.4086 x 5.0 = 13.6211 minutes, or 13.62 minutes rounded to two decimals
- We are given the interarrival time (a = 15 min), service time (p = 20 min), number of servers (m = 3 people), standard deviation of interarrival time (15 min) and standard deviation of service time (60 min). - Therefore, the coefficient of variation of arrival times is 15 / 15 = 1 and the coefficient of variation of service times is 60 / 20 = 3. Moreover, the utilization is 20 / (15 x 3) = 0.4444. Therefore, the average time in the queue is 6.6667 x 0.4086 x 5.0 = 13.6211 minutes, or 13.62 minutes rounded to two decim