The product will break even when the cost is equal to the revenue, which can be represented by the equation C(x) = R(x). The correct answer is option OB, the product will never break even.
To find the intervals where the product will at least break even, we need to determine when the cost C(x) equals the revenue R(x).
The given cost function is C(x) = 20x + 550, and the revenue function is R(x) = 48x.
Setting C(x) equal to R(x), we have:
20x + 550 = 48x
Subtracting 20x from both sides, we get:
550 = 28x
Dividing both sides by 28, we find:
x = 550/28
Simplifying the right-hand side, we get:
x ≈ 19.64
This means that for the product to break even, we would need to produce approximately 19.64 units of wire.
However, there are no intervals specified in the question. The question asks us to select from the given options, and the only option provided is that the product will never break even. This implies that there are no intervals where the product will at least break even.
Therefore, the correct answer is option OB, the product will never break even.
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a store is having a 10%off sale it gives 10%off if the item is still ubove 100$ after the first discount if the jacket is 199.99 will you get the second discount? if so how much money will you save in total
Answer: $38 is the amount saved
To get second discount, 90% of the price must be > $100
hence 90% of 199.99 = 199.99/100*90 = $179.991 (Price after 1st discount)
Since the price after first discount is > $100 , it is eligible for second discount.
Price after 2nd discount of 10% = 179.991/100*90 = $161.9919
Savings = 199.99-161.9919 = 37.9981 = 38 dollars saved.
Step-by-step explanation:
199.99 * 0.9 = 179.99
179.99 * 0.9 = 161.99
199.99 - 161.99 = $38 amount saved
A basketball player makes 0.7 of the free throws he tries. Assuming this percentage will hold true for future attempts find the probability that in the next six tries the number of free throws he will make is: at least 4 and at most 3?
The probability that in the next six tries the number of free throws he will make is at least 4 is 0.74431 and at most 3 is 0.25569.
To find the probability for the given scenarios, we'll consider the two separate cases:
1. At least 4 free throws made:
The number of free throws the player will make in the next six tries follows a binomial distribution with parameters n = 6 (number of trials) and p = 0.7 (probability of success in each trial).
To find the probability that the player makes at least 4 free throws in the next six tries, we need to calculate the probabilities of making 4, 5, or 6 free throws, and add them up:
P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6)
where X is the random variable representing the number of free throws made.
Using the binomial probability formula, we can calculate these probabilities:
- Probability of making 4 free throws: (6 choose 4) * 0.7⁴ * 0.3²
- Probability of making 5 free throws: (6 choose 5) * 0.7⁵ * 0.3¹
- Probability of making 6 free throws: (6 choose 6) * 0.7⁶ * 0.3⁰
where "choose" is the binomial coefficient (6 choose 4) = 6!/(4!2!) = 15, and so on.
Getting the sum of these probabilities will give the probability of making at least 4 free throws.
P(X ≥ 4) = 0.324135 + 0.302526 + 0.117649 = 0.74431
2. To find the probability of making at most 3 free throws, we can use the complement rule:
P(X ≤ 3) = 1 - P(X ≥ 4) = 1 - 0.74431 = 0.25569
Therefore, the probability of making at least 4 and at most 3 free throws in the next six tries is:
P(3 ≤ X ≤ 4) = P(X ≤ 3) + P(X ≥ 4) = 0.25569 + 0.74431 = 1.0
This makes sense, since the player must make either at least 4 or at most 3 free throws in the next six tries, so the sum of these probabilities is 1.
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HELP :)
Find the Domain and Range of the following Relation.(Add 1 space after your domain answer)
1. {(3,5), (4,15), (5,20), (6,25), (7,30)
2. {(-1,2), (-1,4), (-1,6), (-1,8), (-1,10)}
3. {(-6,1), (-5,0), (-4,-1), (-3,-2), (-2,-3)}
The domain and range of each given relation is:
1. Domain - {3, 4, 5, 6, 7}
Range - {5, 15, 20, 25, 30}
2. Domain - {-1}
Range - {2, 4, 6, 8, 10}
3. Domain - {-6, -5, -3, -2}
Range - {1, 0, -1, -2, -3}
What is the Domain and Range of a Relation?A pair of values of a relation is represented as (x, y).The domain of a relation consists of all x-values.Range consist of all y-values.Thus, the domain and range of each given relation is:
1. Domain - {3, 4, 5, 6, 7}
Range - {5, 15, 20, 25, 30}
2. Domain - {-1}
Range - {2, 4, 6, 8, 10}
3. Domain - {-6, -5, -3, -2}
Range - {1, 0, -1, -2, -3}
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The graph shows three proportional
relationships between x and y.
Complete the statements below.
I’ll give Brain list :)
Answer:
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
there are 25 painters an 80% of them are painting the interior how many painters are painting the inside
Answer:
20 painters are painting the inside
Step-by-step explanation:
Please help me with this please and thank you
Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
A map has a scale factor of 1:25 000
What real distance is represented by a distance of 6.8 cm on the map?
Which statement is not true about the data shown by the box plot below?
a. Half the data lies between 53 and 74.
b. The range is 57.
c. Three fourths of the data is greater than 65.
d. The median of the lower half of the data is 53.
Answer:
c. Three fourths of the data is greater than 65.
Step-by-step explanation:
A. is right, half of the data does lie between 53 and 74.B. is right, when calculated, the range is 57.C. is wrong.D. is right, the median of the lower half of the data is 53.I've attached a helpful image of box-and-whisker plots!Cuanto es 15 Multiplicado por 15
Directions: Write your scale factor as a fraction. For example, if your scale factor is you should type
1/2. Make sure you completely simplify all fractions!
The polygons below are similar. Give the scale factor of figure B to figure A.
Answer:
scale factor of 4
Step-by-step explanation:
16÷4=4
8÷2=4
express the following linear equation in the form of ax+by+c=0 and indicate the value of a,b and c. 2x+3y=-5
Answer:
2x+3y+5=0
a = 2 b = 3 c=5
Step-by-step explanation:
We are asked to express 2x+3y=-5 in the form ax+by+c=0
Add 5 to both sides
2x+3y+5=0
We can now find the values of a, b and c now that the equation is in standard form.
Joseph has a bag of 4 marbles. There are 2 green marbles, 1 yellow marble, and 1 purple marble.
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:
List 4.
What is a sample space?A sample space is a set that contains all possible outcomes in the context of an experiment.
The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.
Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:
4 x 4 = 16.
This means that the correct list is either the list 3 or the list 4.
As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.
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Answer: List 4
Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.
Also I know the right answer because I got it right
So good luck on y'all's math tests :)
Here is some proof that the answer is List 4
Please help! Will mark brainliest if correct! Worth 30 points! Wont give brainliest if you're not correct.
Answer:14.7
Step-by-step explanation:
d = l^2+w^2+h^2 = 10^2+4^2+10^2≈ 14.69694cm
You have $3,200 to invest in stocks. You purchase the shares for $11.95/sh. You decide to sell the stock at $11.87/sh. How much did you net with this transaction?
A 21.36
B 30.71
C 11.87
D 0.08
Since the result is negative, it means you incurred a loss of $33.28 from this transaction. Therefore, the correct answer is not among the options provided.
What is loss?In general, "loss" refers to something that has been damaged or destroyed, or the amount of something that has been lost.
In the context of machine learning, "loss" refers to a mathematical function that measures the difference between the predicted output of a model and the actual output. The goal of a machine learning algorithm is to minimize this loss function during training, so that the model can make accurate predictions on new data.
Given by the question:
To calculate your net profit, you need to take into account the transaction costs, which include brokerage fees and any other fees that may be associated with buying and selling stocks.
Assuming a brokerage fee of $5 per trade, the total cost of buying the shares would be:
$11.95/sh x 266 shares = $3,181.70 + $5 = $3,186.70
The total cost of selling the shares would be:
$11.87/sh x 266 shares = $3,158.42 - $5 = $3,153.42
Your net profit would be the difference between the total cost of selling the shares and the total cost of buying the shares:
$3,153.42 - $3,186.70 = -$33.28
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How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?
Answer:
Hope that this helps answer your question
Step-by-step explanation:
thanks for the points♡
Answer:
There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Step-by-step explanation:
The sample response :D
The isdigit function will return true if the argument is a digit between 0 and 9. true false
from point $a$, leigh walked 40 yards south, 60 yards west, 10 yards north, and 20 yards east to point $b$. what is the length, in yards, of $\overline{ab}$?
The length of segment AB, denoted as |AB|, is 50 yards. To find the length of segment AB, we can use the concept of vector addition and subtraction.
We can break down Leigh's movements into two components: the north-south component and the east-west component.
1. North-South Component: Leigh initially walks 40 yards south and then 10 yards north, resulting in a net displacement of 40 - 10 = 30 yards south.
2. East-West Component: Leigh walks 60 yards west and then 20 yards east, resulting in a net displacement of 60 - 20 = 40 yards west.
Now, we can find the length of segment AB by applying the Pythagorean theorem. The north-south and east-west components form a right triangle, where the length of segment AB is the hypotenuse.
Using the Pythagorean theorem: |AB|² = (north-south component)² + (east-west component)²
|AB|² = 30² + 40²
|AB|² = 900 + 1600
|AB|² = 2500
Taking the square root of both sides: |AB| = √2500
|AB| = 50
Therefore, the length of segment AB, or |AB|, is 50 yards.
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A linear function has an x-intercept of 8 and a y-intercept of 4 . which of these is an equation of the linear function?
The equation of the linear function having an x-intercept of -8 and a y-intercept of 4 is y = (1/2)x + 4.
What are lines and their slopes?
We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A linear function has an x-intercept of -8 and a y-intercept of 4.
So, The two points on the line are (- 8, 0) and (0, 4).
Now, slope(m) = (4 - 0)/(0 + 8).
slope(m) = 4/8.
slope(m) = 1/2.
As it has a y-intercept of 4 it is the value of b, In y = mx + b.
Therefore, The linear function is y = (1/2)x + 4.
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In summer2021, electric power at peak usage times costs about 0.64 $/kWh ≈ 1.8 × 10−7 $/J. An ordi-
nary electrically-powered device in a home might operateat 110 V and 0.12 A. What is the cost per second to power
such a circuit during the peak usage period?
The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:
Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:
P = 110V x 0.12A
= 13.2 W
Calculate the cost per second-The cost per second can be calculated using the formula:
Cost per second = Power x Cost per Joule
C = P x CC
= 13.2 W x 1.8 x \(10^-7\) $/J
≈ 2.376 x 10^-6 $/s
Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.
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How do I get the volume of a cuboid of length 6.2cm, width 3.4cm, and height 5cm?
Considering the provided information and that the volume of a cuboid is the result of multiplying the width by the length by the height, we obtain the following:
Volume of a cuboid= Width * Length * Height
Volume of a cuboid= 3.4cm * 6.2cm * 5cm
Volume of a cuboid= 105.4 cm³
Finally we obtain that the volume of the cuboid is 105.4 cm³
There were 15 gallons of water in the tank. 2/3 of the water was pored out, how many gallons were pored out?
Answer:
10 gallons were poured out
Step-by-step explanation:
2/3's of the 15 gallons of water is 10 gallons. Therefore 10 gallons were poured out.
what is the answer to 8m+95<−87m+5
Answer:
The answer is
8m+95<-87m+5 the answer will be 103>92 103 is the answer
pLeAsE hElP
ASAPPP
:/
*Will give 25 points and Brainliest...*
Step-by-step explanation:
I agree with Trevon because the number and letters are used in different forms but can probably be solved in the same way
The response time of a distributed computer system is an important quality characteristic. From previous experience, the system manager knows that the standard deviation of response time is 8 milisec and the average response time is 79.25 milisec. Therefore, a reasonable point estimate of the mean response time is
A reasonable point estimate of the mean response time can be obtained by using the average response time provided by the system manager, which is 79.25 milliseconds.
The point estimate represents a single value that serves as an approximation for the population parameter of interest, in this case, the mean response time.
Since the system manager has provided the average response time based on previous experience, it can be used as a reasonable point estimate for the mean response time of the distributed computer system.
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Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.
Answer:
\(12\) cm
Step-by-step explanation:
If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!
A linear function has an x-intercept of 8 and a y-intercept of 4 . which of these is an equation of the linear function?
The linear function is y = (-1/2)x + 4.
What is a linear function?
A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.
Here, we have
Given,
A linear function has an x-intercept of 8 and a y-intercept of 4.
So, The two points on the line are (8, 0) and (0, 4).
Now, slope(m) = (4 - 0)/(0 - 8).
slope(m) = -4/8.
slope(m) = -1/2.
As it has a y-intercept of 4 it is the value of b, In y = mx + b.
Hence, the linear function is y = (-1/2)x + 4.
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What is the vertex?
f(x) = -6x² + 12x + 18
help me plz this is my last chance to get it correct (B is the wrong answer btw)
Answer: I would think D.
Step-by-step explanation: I'm worried for you, I hope this is correct.
sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
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14x+½(4x+6)=3(x-4)-18
x=____
Answer:
x=−15/31=−0.484
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
14*x+(1)/(2)*(4*x+6)-(3*(x-4)-18*x)=0
STEP 1 Equation at the end of step 1
1
(14x+(—•(4x+6)))-(3•(x-4)-18x) = 0
Simplify
1/ 2
Equation at the end of step 2
1
(14x + (— • (4x + 6))) - (-15x - 12) = 0
2
4.1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
(14x + (2x + 3)) - (-15x - 12) = 0
31x + 15 = 0
Solve : 31x+15 = 0
Subtract 15 from both sides of the equation :
31x = -15
Divide both sides of the equation by 31:
x = -15/31 = -0.484
Answer:
x = - \(\frac{33}{13}\)
Step-by-step explanation:
Given
14x + \(\frac{1}{2}\)(4x + 6) = 3(x - 4) - 18 ← distribute parenthesis on both sides
14x + 2x + 3 = 3x - 12 - 18, that is
16x + 3 = 3x - 30 ( subtract 13x from both sides )
13x + 3 = - 30 ( subtract 3 from both sides )
13x = - 33 ( divide both sides by 13 )
x = - \(\frac{33}{13}\)