The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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What level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis?
The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."
What is chi-square test?A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.
Some key features regarding chi-square test are-
Chi-square analysis is excellent for assessing such disparities in categorical variables, particularly nominal variables.X² is determined by the amount of the discrepancy between the observed and real values, its degrees of freedom, as well as the sample size.X² can be used to figure out if two variables are connected or independent.It can also be used to determine the goodness-of-fit between being an observed distribution or a theoretical frequency distribution.To know more about chi-square test, here
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write the equation in spherical coordinates. (a) x2 + y2 + z2 = 81
The equation in spherical coordinates is:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
What is Equation in Spherical Coordinates?
A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.
\($r^2 = 81$\)
To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:
\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)
Since \(r^2 = 81,\) we can substitute it into the equation:
\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)
Finally, we divide the equation by 81 to simplify:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
So, the equation in spherical coordinates is:
\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)
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2. Over the first five years of owning her car, Gina drove about 12. 200 miles the first year, 16,211 miles the second year, 12,050 the third ye and mode of this data. B. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year mean = 13. 027; median=12. 200mode=4. 861 the median is the best choice because it is not skewed by the high outlier mean = 12. 2; me * dian = 13. 027 no modethe mean is the best choice because it is representative of the entire data set. Mean = 13. 027; median=12. 200: no mode ; the median is the best choice because it is not skewed by the high outlier mean = 13. 027; me * dian = 12, 200 no mode the mean is the best choice because it is representative of the entire data set
The median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year.
The data for Gina's car mileage is:
12,200 miles in the first year
16,211 miles in the second year
12,050 miles in the third year
To find the mode, we need to identify the value that occurs most frequently in the data set. In this case, there is no mode because no value appears more than once.
To find the median, we need to arrange the data set in order from smallest to largest and identify the middle value. If there is an even number of values, we take the average of the two middle values.
12,050, 12,200, 16,211
The median is 12,200 because it is the middle value when the data set is arranged in order.
To find the mean, we add up all of the values and divide by the number of values.
(12,200 + 16,211 + 12,050) / 3 = 13,027
Therefore, the mean is 13,027.
Based on the given data, the median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year. The mean is also a reasonable choice, but it may be influenced by the high value. However, since we do not have any information about any changes in Gina's driving patterns or other relevant factors, it's difficult to accurately predict how many miles she will drive in the sixth year based solely on the given data.
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factorise ax + ay + 3bx + 3by
Factor like terms..
(ax + ay) + (3bx + 3by)
= a(x + y) + 3b(x + y)
Finally, group the common factors of x + y and collect the terms to get:
(x + y )(a + 3b)
The factors of the given expression are (x + y ) and (a + 3b).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that expression as :
ax + ay + 3bx + 3by
We have to factorize the given expression.
⇒ ax + ay + 3bx + 3by
Factor like terms.
⇒ (ax + ay) + (3bx + 3by)
⇒ a(x + y) + 3b(x + y)
Take out the common factors of x + y and combine the terms to get:
⇒ (x + y )(a + 3b)
Therefore, the factors of the given expression are (x + y ) and (a + 3b).
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Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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the number of hours needed to complete a trip, h, varies inversely with the driving speed, s. a trip can be completed in 5 hours at a speed of 60 miles per hour. find the equation that represents this relationship.
The equation that represents the relationship between the number of hours needed to complete a trip, h, and the driving speed, s, is h = 5/s. This means that the number of hours needed to complete the trip is inversely proportional to the driving speed.
When the driving speed is 60 miles per hour, the number of hours needed to complete the trip is 5 (h = 5/60). If the driving speed is increased to 90 miles per hour, the number of hours needed to complete the trip is 5/90 (h = 5/90).
In general, as the driving speed increases, the number of hours needed to complete the trip decreases.
To summarize, the equation that represents the inverse relationship between the number of hours needed to complete a trip and the driving speed is h = 5/s. This equation can be used to determine the number of hours needed to complete a trip at any given speed.
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(Score for Question 3: __ of 3 points)3. The total cost after tax to repair Deborah's computer is represented by 0.08(70h) + 70h, where h representsthe number of hours it takes to repair Deborah's computer. What part of the expression represents theamount of dollars Deborah has to pay in tax? Explain.Answer:
The expression of the total cost can be divided in 2 parts, the one that represents the amount she has to pay per hour of reparation and the one that represents the taxes she has to pay over that amount.
The first part is 70h, and it represents the amount she pays when it takes h hours to repair her computer.
The second part is 0.08(70h) that represents the taxes, that are 8% of the cost of reparation. It means that the answer is 0.08(70h).
A bathtub can hold 80 gallons of water. the faucet flows at a rate of 4 gallons per min what percent of the tub would be filled with water after 6 mins ( in gallons) ( also add any decimals if needed) I NEED AN ANSWER ASAP PLS
Step-by-step explanation:
4 gallons per min * 6 min = 24 gallons
Hence the bathtub is 24/80 = 30% filled.
Answer:
30% of water is filled
24 gallons
Step-by-step explanation:
4 gallons = 1 min
24 gallons = 6 mins
4 x 6 = 24
1 x 6 = 6
24/80 = How much water filled in the tub
24/80 = 0.3
0.3 = 30%
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 and a multiple of 3
If the spinner is spun one time then the probability that the result is a multiple of 5 and a multiple of 3 is 8/15.
Given that the spinner is numbered from 1 to 15.
We are required to find the probability that the result is a multiple of 5 and a multiple of 3.
Probability is likeliness of happening an event among all the events possible. It lies between 0 and 1.
Probability=Number of items/Total of items.
Multiple of 5 from 1 to 15=5,10,15
Multiple of 3 from 1 to 15=3,6,9,12,15
Probability that the result is the multiple of 5=3/15
Probability that the result is the multiple of 3=5/15
Probability that the result is multiple of 5 and 3=3/15+5/15
=8/15
Hence if the spinner is spun one time then the probability that the result is a multiple of 5 and a multiple of 3 is 8/15.
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What is the equation of the line that passes through the point (8, 2) and has a slope
of
3/
4
Answer:
y=3/4x-4
Step-by-step explanation:
y=3/4x+b
2=3/4(8)+b
2=6+b
-4=b
y=3/4x-4
a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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5 added to 6 times a number gives 47
Answer:
number is 7
Step-by-step explanation:
let n be the number then 6 times the number is 6n and 5 added to it is
6n + 5 = 47 ( subtract 5 from both sides )
6n = 42 ( divide both sides by 6 )
n = 7
the required number is 7
ALGEBRA PLEASE HELP ASAPPPPP PLEASEEE
Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)
Answer:
putting more than question is against app rules but alr
Part A: The value of each of the houses after a fixed number of years can be described by a linear function. This is because the value of each house increases at a constant rate, with the same amount added each year.
Part B: The function for House 1 could be written as f(x) = 294,580 + 8,937.6x, and the function for House 2 could be written as f(x) = 295,000 + 9,000x.
Part C: After 25 years, the value of House 1 will be approximately $750,834.40, and the value of House 2 will be approximately $753,000. The difference in value between the two houses after 25 years will be approximately $2,165.60, which is not a significant difference in the overall value of the houses. Therefore, either house would be a good choice for Belinda to purchase.
When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others. Which of the following would be most affected by Mark's observation? The median, average, highest, most frequent monthly payment
Answer:
The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.
Step-by-step explanation:
Im a bit stuck, Help!
Answer:
false
Step-by-step explanation:
cube root implies that the number equal to it, in this case 30, can be multiplied thrice and equal the cube root.
for example, √25 = 5, meaning that 5 x 5 = 25.
if this equation were true, 30 x 30 x 30 would equal 90. because it does not, this equation is false.
find a1 in a geometric series for which sn = 93, r = 2, and n = 5
The first term, a1, in the geometric series is -3.
What is Geometric Series?
A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form
To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:
Sn = a1 * (1 - r^n) / (1 - r)
Plugging in the given values, we have:
93 = a1 * (1 - 2^5) / (1 - 2)
Simplifying the expression:
93 = a1 * (1 - 32) / (-1)
93 = a1 * (-31)
Now we can solve for a1 by dividing both sides of the equation by -31:
a1 = 93 / -31
a1 = -3
Therefore, the first term, a1, in the geometric series is -3.
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What is 20% of 82?
please help that would be very nice of you!
16.4 is the 20% of 82
your welcome
Construct a polynomial function with the stated properties.
Third-degree, with zeros of −5, −3, and 1, and a y-intercept of −14.
Step-by-step explanation:
f(x) = a [x - (-2)] [x - (-1)] (x - 3)
with a ≠ 0.
f(x) = a(x + 2)(x + 1)((x - 3)
Use f(4) = 10 to find a.
10 = a(4 + 2)(4 + 1)(4 - 3) = 30a
a = 1/3
f(x) = (1/3)(x + 2)(x + 1)(x - 3)
A polynomial function with the stated properties is x³+7x²+7x-1=0.
What are the zeros of the polynomial function?The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.
Given that, the third-degree polynomial function with zeros of -5, -3, and 1, and a y-intercept of -14.
Here, x=-5, x=-3 and x=1
So, x+5=0, x+3=0 and x-1=0
Now, P(x)=(x+5)(x+3)(x-1)
P(x)=(x²+8x+15)(x-1)
P(x)=x²(x-1)+8x(x-1)+15(x-1)
P(x)=x³-x²+8x²-8x+15x-15
P(x)=x³+7x²+7x-15
y=x³+7x²+7x-15
y-intercept is -14, so -14=x³+7x²+7x-15
x³+7x²+7x-1=0
Therefore, a polynomial function with the stated properties is x³+7x²+7x-1=0.
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PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!
14 + 18 ÷ 2 x 18 – 7
15 x 10 + 12 ÷ 3 + 9
8 x 4 + 9 – 9 + 18
2 - 1 + 5 x 4 x 11
60 – 9 x 8 ÷ 8 x 6
(10 ÷ 5)3 + 100 – 9 x 11
3 x 8 x 2 – 42 + 5
14 ÷ 2 -1 + 3
Answer:
1.) 169
2.) 63
3.) 50
4.) 221
5.) 6
6.) 501
7.)11
8.) 9
Step-by-step explanation:
sorry i dont have time for the explanation. :( i hope i helped you still
simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
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PLEASEEE HELP FASTTT!!!! It’s my last question on a 50 question test!!!
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28) –2x + 3 –2x – 3 –2x – 8 –2x + 8
Answer:
C is ur answer
Step-by-step explanation:
What's y'all favorite tic tok sound?
Answer:
Laxed (SIREN BEAT)" by Jawsh 685
Step-by-step explanation:
Find the side length x
.
Simplify 1826.00 - 338.12.
Answer:
1487.88
Step-by-step explanation:
Because you have to line the decimals up to make sure you have the correct answer
Help please! I will reward brainiest.
Answer:
follow me first
Step-by-step explanation:
i will answer that in 60 sec
Answer:
B
Step-by-step explanation:
1. Before anything, figure out the inequality symbol. Why? In the solutions, all of the inequalities are different so you narrow it down by figuring out the inequality sign.
2. "At most 50 pounds" means we can't go over 50 pounds, but the package can still equal 50, that's just the most it can be. This means we will have a line underneath because it includes the maximum number, 50, in the solution.
3. "At most" also means the package (x) cannot be over 50. The sign opening must face 50 because that shows x has to be less than. But it can equal 50, so the sign is \(x\leq 50\). That would be B.
4. About the numbers, the box weighs 2 pounds. This means it is x+2 because weight is not negative and it is ADDING weight to what we don't know. To isolate x, just do 50-2, and you get 48. That again proves b is the answer.
De cuántas formas se puede vestir una mujer teniendo 3 blusas (blanca, azul, rosada), dos pantalones (negro y café) y tres pares de zapatos (negros, azules, grises) (tomado de precalculo James Stewar)
Answer:
Step-by-step explanation:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día!
suppose that for a particular firm the only variable input into the production process is labor and that output equals zero when no workers are hired. in addition, suppose that fixed cost is $130, marginal cost of each worker hired is constant at $40, and the average total cost when three workers are hired is $50. what is the output when three workers are hired?
The output when three workers are hired is 5 units..
To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.
Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)
Calculate the total cost.
TC = $130 + $120
TC = $250
Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5
Therefore, the output when three workers are hired is 5 units.
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Which of the following is not a requirement for testing means? Randomization Nearly Normal Condition 10% Condition Success/Failure Condition
Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.
Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.
Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.
10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.
Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.
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Which information is not sufficient to prove that a parallelogram is
a square?
(1) The diagonals are both congruent and perpendicular.
(2) The diagonals are congruent and one pair of adjacent sides are
congruent.
(3) The diagonals are perpendicular and one pair of adjacent sides
are congruent.
4) The diagonals are perpendicular and one pair of adjacent sides
are perpendicular.
BE
The information that is not sufficient to prove that a parallelogram is a square is an option (3) The diagonals are perpendicular and one pair of adjacent sides are congruent.
A parallelogram is a quadrilateral with two pairs of parallel sides. A quadrilateral is a four-sided polygon. A square is a quadrilateral with four sides of equal length and four right angles. So, the opposite sides of a square are parallel and congruent and all four angles are equal to 90 degrees.
A square is a special type of parallelogram in which all four sides are equal in length and all four angles are equal to 90 degrees. We can prove a parallelogram is a square by using the following statements:
(1) The diagonals of a square are both congruent and perpendicular.
(2) If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
(3) If one pair of opposite sides of a parallelogram are parallel and congruent, then the parallelogram is a rhombus.
(4) If the diagonals of a rhombus are perpendicular, then the rhombus is a square.
Thus, we can conclude that option (3) The diagonals are perpendicular and one pair of adjacent sides are congruent is not sufficient to prove that a parallelogram is a square.
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