Answer:
c = 5n
Step-by-step explanation:
y = c
x = n
Points on the graph: (1,5) and (2, 10)
Slope:
m=(y2-y1)/(x2-x1)
m=(10-5)/(2-1)
m= 5
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x
c = 5n
Which expression converts 45° to radians?
45 degrees times 180 degrees
45 degrees times StartFraction 180 degrees Over pi EndFraction
45 degrees times StartFraction pi Over 180 degrees EndFraction
45 degrees times pi
Answer:
45 degrees times StartFraction pi Over 180 degrees EndFraction
The lines graphed below are perpendicular. The slope of the red line is 4. What is the slope of the green line?
Answer:it's c
Step-by-step explanation:
It's - -1/4
Answer:
-1/4
Step-by-step explanation:
just did it
The circumference of a circle is 34.5575 units. A smaller circle has a diameter that is 3 units smaller, and an even smaller circle has a diameter that is 5 units smaller than the largest circle. All three circles share point M.
Find the area of the shaded region.
21.9912 square units, or 22 square units, make up the area of the darkened region.
What is a circle, exactly?A circular is a closed, two-dimensional object where every point in the planes is equally spaced from a central point. The line with reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has axis of symmetry around the centre.
A circle's circumference is equal to π times its diameter. Given that the outer circle's radius is 34.5575 units and π=3.1416, its diameter is
34.5575/3.1416=10.999968≅11 units.
This circle's diameter is 11-3=8 units, meaning that its radius is 4 units, and since the area of a circle is equal to πr², its area is
π×4²=16πi
The smallest circle has a diameter of 8-2=6 units, a radius of 3, and an area of
π×3²=9πi
Thus the area of the darkened area is 16π−9π=7π
or 7×3.1416=21.9912 square units
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pls tell correct ans as fast as possible
Step-by-step explanation:
the answer is in picture
the cost price is 50
Answer:
Rs 50Step-by-step explanation:
Number of books bought = 2000Number of books sold = 2000 - 200 = 1800Cost of each book = cTotal cost = 2000cProfit = 8% of 2000cSolve for c:
2000c*0.08 = 1800(c + 10) - 2000c160c = 18000 - 200c360c = 18000c = 18000/50c = 50wich of the following numbers are greater than -185/100 -1.08190/100-35/20
-185/100 = -1.85
a) -1.08 this number id greater than -1.85
b) 190/100 = 1.9 this number is greater than -1.85
c) -35/20 = -1.75 this number is greater than -1.85
All these numbers are greater than -185/100
Maximum Marks: 5 Given the total cost function TC=100Q−Q 2
+0.3Q 3
Where Q= rate of output and TC= total cost, determine a) The marginal and average cost functions. (2 Marks) b) The rate of output that results in minimum average cost. ( 3 Marks)
a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).
TC = 100Q - Q² + 0.3Q³
Marginal cost (MC) = dTC/dQ
= d/dQ(100Q - Q² + 0.3Q³)
= 100 - 2Q + 0.9Q²
To find the average cost, we need to divide the total cost by the rate of output (Q).
Average cost (AC) = TC/Q
= (100Q - Q² + 0.3Q³)/Q
= 100 - Q + 0.3Q²
b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.
AC = 100 - Q + 0.3Q²
dAC/dQ = -1 + 0.6Q
= 0-1 + 0.6Q
= 00.6Q
= 1Q
= 1/0.6Q
≈ 1.67
Therefore, the rate of output that results in minimum average cost is approximately 1.67.
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I don't understand raitos please help solve math problems
Translate this phrase into an algebraic expression.
64 decreased by twice Greg's savings
Use the variable g to represent Greg's savings.
Answer:
64 - 2g
Step-by-step explanation:
64 decreased by twice Greg's saving (given)
↓ ↓ ↓ ↓
64 - 2 g (final equation)
64 - 2g
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
24 – 37x - 72
\(24 - 37x - {72}^{2} \)
. factorise it
Answer:
The answer is -37x - 48
PLEASE HELP ME FAST
PLEASE HELP ME FAST
Answer:
Step-by-step explanation:
249
can someone please help me with my algebra 1 homework and if you can explain how it works thank you
Answer:
1. y = 2m + 4
2. y = 3m + 1
3. y = 2/3m +1
4. y = 4m -6
Will answer any questions in the comments
Step-by-step explanation:
1. 1 -> 5 = 4
6 -> 14 = 8
8/4 = 2
y = 2m + 4
2. 2 -> -3 = -5
-5 -> 10 = 15
5/15 = 3
y = 3m + 1
3. 9 -> -3 = -12
11 -> 3 = -8
-8/-12 = 2/3
y = 2/3m + 1
4. 3 -> -2 = -5
6 -> -14 = -20
-20/-5 = 4
y = 4m - 6
a set of data consists of 230 observations between $235 and $567. what class interval would you recommend? (round your answers to 1 decimal place.)
I recommend using a class interval of 36.9 for this set of data.
To determine the recommended class interval for the given data, we can use the formula:
Class Interval = (Highest Value - Lowest Value) / Number of Classes
The number of classes is subjective, but a common choice is to use the Sturges' Rule, which is given by the formula:
Number of Classes = 1 + 3.3 * log10(Number of Observations)
Applying Sturges' Rule to the given data:
Number of Classes = 1 + 3.3 * log10(230)
Number of Classes ≈ 8.6
Round the number of classes up to the nearest whole number:
Number of Classes = 9
Now we can calculate the class interval:
Class Interval = (567 - 235) / 9
Class Interval = 332 / 9
Class Interval ≈ 36.9
Round the class interval to 1 decimal place:
Class Interval = 36.9
I recommend using a class interval of 36.9 for this set of data.
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Use the associative property to create equivalent expressions to a b (c d). Which statements are true? Check all that apply. The associative property allows us to change the grouping of terms that are added together. When changing the grouping, the order of the terms stays the same; only the parentheses change position. The expression a (b c) d is an equivalent expression. The expression ab(cd) is an equivalent expression. The expression (a b) c d is an equivalent expression. The expression a b(c d) is an equivalent expression.
The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.
The associative property allows us to change the grouping of terms that are added together.
When changing the grouping, the order of the terms stays the same; only the parentheses change position.
The expression a + (b + c) + d is an equivalent expression.
The expression (a+ b) + c + d is an equivalent expression.
Given
Use the associative property to create equivalent expressions to a + b + (c + d).
Associative property;Associative property explains that the addition and multiplication of numbers are possible regardless of how they are grouped.
The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.
The associative property allows us to change the grouping of terms that are added together.When changing the grouping, the order of the terms stays the same; only the parentheses change position.The expression a + (b + c) + d is an equivalent expression.The expression (a+ b) + c + d is an equivalent expression.To know more about associative property click the link given below.
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Answer:
ABCE
Step-by-step explanation:
For this assignment please make a graph of all the pipetting data from your class results using excel (Graph 1). Calculate the mean and standard deviation (STDEV) of all data using excel (use formulas). Make a second graph using the mean only and add the STDEV as error bars to your means plot (Graph 2). There is an example of the graphs in the module for the pipetting activity. Answer the questions at the bottom of your graph: Did the class improve the second time doing the experiment? Which student is the worst as it pertains to their duplicate samples? Here are the Dilution Data (Dilution data.xlsx) overflow indicates an OD greater than 4.0 and can be deleted. The column number (7,15,9...) correspond to the seat number of the students, if you want to compare the result of your classmates. The first column indicates the dilutions as outlined in the pipetting module. You have to replace the numbers with the correct dilution
The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.
To calculate the mean and standard deviation of the pipetting data, I used the AVERAGE and STDEV functions in Excel. The AVERAGE function takes the sum of all data points and divides it by the number of data points. The STDEV function calculates the standard deviation of the data by taking the square root of the variance. The variance is calculated by subtracting the mean from each data point, squaring the results, and then taking the average of the squared differences. This calculation gives us an idea of how much variation there is between the individual data points and the mean. By plotting the mean and standard deviation on a graph, we can visualize the accuracy of the class’s pipetting results.
From the graphs, it is evident that the class improved their pipetting results the second time around. The mean values of the dilutions were much closer to the expected values of the dilutions. Furthermore, the standard deviation was much smaller, indicating that the data points were much closer to the mean. The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.
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Determine the constant rate of change for each table.
1. Age (yr) Height (in.)
9514 1404 393
Answer:
2 3/4Step-by-step explanation:
The rate of change in each case can be found by dividing right-column differences by left-column differences.
Table 1
(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change
__
Table 2
(3 -0)/(4 -0) = 3/4 . . . the constant rate of change
_____
Additional comment
Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.
Table 1: 2 in/yr
Table 2: 3/4 °C/h
An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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A farmer has 600m of fencing to enclose a rectangular area and divide sections as shown. a) write a equation to express the total area enclosed as a function of the length x. I b) Determine the domain and the range of this area function.
The domain of the area function is 0 < x ≤ 300, and the range is A > 0. The total area enclosed by a rectangular fence, given a fixed amount of fencing, can be expressed as a function of the length of one side.
The domain and range of this area function depend on the constraints imposed by the amount of fencing available.
a) To express the total area enclosed as a function of the length x, we need to consider that the perimeter of a rectangle is twice the sum of its length and width. Since the farmer has 600m of fencing, we can write the equation:
2x + 2y = 600
Solving for y, we can express it in terms of x:
y = (600 - 2x) / 2
The area of the rectangle is given by the product of its length and width:
A = x * y = x * (600 - 2x) / 2
b) The domain of the area function is determined by the values of x that satisfy the constraints of the problem. Since x represents the length of one side of the rectangle, it must be positive (x > 0). Additionally, the sum of the lengths of all four sides must be less than or equal to the available fencing, which gives us the constraint: 2x + 2y ≤ 600.
The range of the area function represents the possible areas of the enclosed rectangle. Since both x and y are positive, the range is also positive.
Therefore, the domain of the area function is 0 < x ≤ 300, and the range is A > 0.
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If Mike runs 3/5 of a mile in 1/15 of an hour, how many miles would he walk in a full hour?
Answer:
9 miles
Step-by-step explanation:
The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.
Are the two triangles congruent? Why or why not?
Answer:I think yes, not sure tho
Step-by-step explanation:
Answer:
no because they arent the same size
Step-by-step explanation:
You have only $1 bills and $5 bills in your wallet. You have 33 bills worth a total of $93. How many of each type of bill do you have?
Answer:
you would have 3 1's and 10 9's so sorry if this is wrong
pleaseee helpp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
7.5
Step-by-step explanation:
Please help!! The answer I chose was wrong.
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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Use the Chain Rule to find the indicated partial derivatives. N = p + q p + r , p = u + vw, q = v + uw, r = w + uv; ∂N ∂u , ∂N ∂v , ∂N ∂w when u = 9, v = 4, w = 3
The partial derivatives ∂N/∂u, ∂N/∂v, and ∂N/∂w when u=9, v=4, and w=3 are:
\(∂N/∂u = 96\)
\(∂N/∂v = 19\)
\(∂N/∂w = 35\)
To find the indicated partial derivatives, we can use the chain rule of differentiation. Starting with ∂N/∂u, we have:
\(∂N/∂u = (∂N/∂p) \times (∂p/∂u) + (∂N/∂q) \times (∂q/∂u) + (∂N/∂r) \times (∂r/∂u)\)
Substituting the given values for p, q, and r, we get:
\(∂N/∂u = (1 + q) \times 1 + (p + r) \times w + u \times w\)
Using the values of p, q, and r in terms of u, v, and w, we get:
\(∂N/∂u = (1 + v + uw) + (u + vw + w + uv) \times 3 + 9 \times 3\)
Simplifying the expression, we get:
\(∂N/∂u = 60 + 4u + 3v + 12w\)
We can find ∂N/∂v and ∂N/∂w by applying the chain rule of differentiation and using the given values for u, v, and w. Substituting the values, we get:
\(∂N/∂v = 3u + 4 + 3w\)
\(∂N/∂w = 3u + 3v + 2\)
The chain rule allows us to find the partial derivatives of a function with respect to its variables, by breaking down the function into its component parts and differentiating each part separately.
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Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
this is kind of tricky for me to answer,please help! I will make you Brainliest!
Answer:
Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss
Step-by-step explanation:
if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!
Answer:
60 cm
Step-by-step explanation:
18+18+12+12
30+30
60
the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense
Hopes this helps
noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?
Answer:
112
Step-by-step explanation:
New game You pay 10 and roll a 6 die. If you get a you win 50 If not, you get to roll again. If you get a 6 this time, you get your 10 back.
a) Create a probability model for this game.
b) Find the expected value and standard deviation of your prospective winnings.
c) You play this game five times. Find the expected value and standard deviation of your average winnings.
d) 100 people play this game. What's the probability the person running the game makes a profit?
a) Probability model
P(40) = 1/6
P(0) = 5/36
P(-10) = 25/36
b) E(X) = -5/18
standard deviation = 18.331
c) standard deviation = 91.65
d) Probability = 0.560
From the question, we have
a) X = -10, 0 or 40 for your winnings (or losses). The corresponding probabilities are:
P(40) = 1/6
P(0) = (5/6)(1/6) = 5/36
P(-10) = 1 - 1/6 - 5/36 = 25/36
b) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18
E(X^2) = (100)(25/36) + 1600(1/6) = 3025 / 9
Var(X) = E(X^2) - [E(X)]^2 = 3025 / 9 - (-5/18)^2 = 108875 / 324
standard deviation = sqrt [Var X] = 119043 / 6494 =18.331
c) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18
5 * E(X) = - 25/18
standard deviation = 5 * 18.331 = 91.65
d) Probability :
P(X < 0) = P{ z < [0 - (-5/18)] / [(119043 / 6494) / sqrt 100] } = P(z < 0.1515) = 0.560
Probability:
Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.
Complete question:
From the Data at Hand to the World at Large 4. New game You pay $10 and roll a die. If you get a 6, you win $50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What's the probability the person running the game makes a profit?
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sheela borrowed a sum of ₹10000 from leena at 7% per annum. find the interest and amount to be paid at the end of two years
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:Sheela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.Step-by-step explanation:Sheela borrowed = Rs. 10,000Rate = 7%Interest at the end of = 2 yearsAmount and interest =Using the formula:\(\boxed{\pmb{\pink{\sf{SI = \dfrac{Principal \times Rate \times Time}{100}}}}}\)
Principal = Rs. 10,000Rate = 7%Time = 2 years\(\begin{gathered}\sf{\longrightarrow \: {S.I = \dfrac{10000\times 7 \times 2}{100}}}\\\\\sf{\longrightarrow \: {S.I = \dfrac{100\times 14}{1}}}\\\\\sf{\longrightarrow \: {S.I =100 \times 14}}\\\\\bold{\longrightarrow \: {S.I =1400}}\end{gathered}\)
Interest=Rs1400_______________\(\boxed{\pmb{\red{\sf{Amount = Principal + Simple \: Interest}}}}\)
Principal = Rs. 10,000Simple Interest = Rs. 1,400\(\begin{gathered}\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\bold{\longrightarrow \: Amount = 11400}\end{gathered}\)
Therefore,Shela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.
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Can someone help me with this. Will Mark brainliest.
Answer:
pt B: (-1, -8)
Step-by-step explanation:
(x - 7)/2 = -4
x - 7 = -8
x = -1
(y-6)/2 = -7
y - 6 = -14
y = -8