ITC sells one product at a profit of 30% another at a loss of 30% at the same selling price.What is the loss incurred by ITC? A. 1% B. 2% C. 4% D. 0%
Answer:
D. 0%
Step-by-step explanation:
The percentage of profit at which one of the products are sold = 30%
The percentage loss at which the other product are sold = 30%
Let x represent the prices of each of the products, we have;
The profit from the sale of the first product = 30% of x = 0.3·x
The loss from the sale of the second product = -30% of x = -0.3·x
The total gain or loss = Profit + Loss = 0.3·x + (- 0.3·x) = 0
Therefore, there is no net loss
The total loss incurred = 0%.
Arrange 5/9,2/3 and 8/21 in ascending order of magnitude
Answer:
2/3/5/8/9/21 I hope it is able to help you
Christine buys candy that costs $4 per pound .
She will buy more than 6 pounds of condy,
What are the possible amounts she will spend
on candy
Step-by-step explanation:
4x6=24 so she will spend
y >= 24
Which type of transformation is this?
Answer:
I think it's Translation.
Step-by-step explanation:
A x-bar control chart has an upper control limit of 0. 65 inch and a lower control limit of 0. 35 inch. The results of the next six samples are 0. 60, 0. 37, 0. 45, 0. 48, 0. 53, and 0. 62 inches. What should you do?.
In summary, when a sample falls outside the control limits on an X-bar control chart, it signals a potential problem, and further investigation and corrective actions should be taken to identify and resolve the issue.
In an X-bar control chart, the upper control limit (UCL) and lower control limit (LCL) are set to monitor the process and detect any significant variations.
Given:
UCL = 0.65 inch
LCL = 0.35 inch
The next six samples are:
Sample 1: 0.60 inch
Sample 2: 0.37 inch
Sample 3: 0.45 inch
Sample 4: 0.48 inch
Sample 5: 0.53 inch
Sample 6: 0.62 inch
To determine what should be done, we need to check whether any of the samples fall outside the control limits.
Sample 1: 0.60 inch
Within control limits
Sample 2: 0.37 inch
Below the lower control limit (LCL)
Since Sample 2 falls below the lower control limit, it indicates a significant deviation from the expected process. This suggests that there might be an issue with the process or measurement.
Based on this result, the appropriate action would be to investigate the cause of the variation and take corrective measures to address the issue. It may involve analyzing the process, checking for any equipment malfunction, or reevaluating the measurement procedure.
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Question
Chloe built the expression x - 1 - (2x - 3)
on the expression mat below. Is she correct? And three pieces of evidence in full sentence, the picture of the problem is attached
Answer:
Step-by-step explanation:
/
En una urna hay 4 canicas blancas y 3 negras si aleatoriamente se extraen 2 canicas una después de la otra sin regresarlas a la urna cuál es la probabilidad que sea la primera blanca y la segunda negra
Answer:
I can't understand
Step-by-step explanation:
please translate to english
the lifetime of lightbulbs that are advertised to last for 4100 hours are normally distributed with a mean of 4400 hours and a standard deviation of 300 hours. what is the probability that a bulb lasts longer than the advertised figure?
the probability that a bulb lasts longer than the advertised figure of 4100 hours is approximately 0.8413 or 84.13%.
The probability that a bulb lasts longer than the advertised figure can be found using the normal distribution formula. In this case, we have a mean of 4400 hours and a standard deviation of 300 hours. The advertised lifetime is 4100 hours. We will calculate the z-score and then use the standard normal distribution table to find the probability. Here's the step-by-step explanation:
Calculate the z-score: The z-score is a measure of how many standard deviations away from the mean a data point is. To calculate the z-score for the advertised lifetime (4100 hours), use the formula:
z = (X - μ) / σ
where X is the advertised lifetime (4100 hours), μ is the mean (4400 hours), and σ is the standard deviation (300 hours).
z = (4100 - 4400) / 300
z = -300 / 300
z = -1
Use the standard normal distribution table: Now that we have the z-score (-1), we can use the standard normal distribution table to find the probability that a bulb lasts longer than the advertised figure. Look for the value corresponding to -1 in the table, which is 0.1587.
Calculate the probability: The value we found in the standard normal distribution table (0.1587) represents the probability that a bulb lasts less than the advertised figure (4100 hours). To find the probability that a bulb lasts longer, we need to subtract this value from 1:
Probability (bulb lasts longer than advertised figure) = 1 - 0.1587
Probability (bulb lasts longer than advertised figure) = 0.8413
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On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.
Answer:
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
Step-by-step explanation:
Given that:
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
t = number of hours
A = 35 - 4t Eqn 1
B = 50 - 7t Eqn 2
At same height,
Eqn 1 = Eqn 2
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
Dividing both sides by 3
\(\frac{3t}{3}=\frac{15}{3}\\t=5\)
Putting t=5 in both equations
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
Hence,
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
The equation should be
A = 35 - 4t
B = 50 - 7t
And, the Height = 15 inches
Calculation of the equation and height;
Since
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
Here, t = number of hours
So, the equation should be
A = 35 - 4t
B = 50 - 7t
Now for the same height
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
t = 15
So,
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
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What is the slope of this line?
A. 4
B. 1/4
C. -4
D. -1/4
what's 1/4 of the way between point (-5,6) and point (7,2)
Answer:
(-2, 5) or x = -2, y = 5.
Step-by-step explanation:
Using the Midpoint formula:
M = \((\frac{x_{1}+ x_{1} }{2}, \frac{y_{1}+ y_{1} }{2})\)
and using the coordinates in your given question:
(-5, 6) and (7, 2):
The midpoint (or halfway point) between (-5, 6) and (7, 2) is:
M = \((\frac{-5 + 7 }{2}, \frac{2+ 6}{2})\) = \((\frac{2}{2} , \frac{8}{2} ) = (1, 4)\)
To determine what is 1/4 of the way between points (-5, 6) and (7, 2), we can use Midpoint Formula to find the halfway point between one (-5, 6) and (1, 4):
M = \((\frac{x_{1}+ x_{1} }{2}, \frac{y_{1}+ y_{1} }{2})\)
M = \((\frac{-5 + 1 }{2}, \frac{6+ 4}{2}) = (\frac{-4}{2}, \frac{10}{2})\) = (-2, 5).
Therefore, the 1/4 of the way between points (-5, 6) and (7, 2) is (-2, 5).
13.10 − Let Mn be the maximum of n independent U(0,1) random variables. a. Derive the exact expression for P(∣Mn−1∣>ε). Hint: see Section 8.4. b. Show that limn→[infinity]P(∣Mn−1∣>ε)=0. Can this be derived from Chebyshev's inequality or the law of large numbers?
This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.
Let M_n be the maximum of n independent U(0, 1) random variables.
To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:
First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n
So, P(M_n ≤ 1-ε) = (1-ε)^n
Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon
Hence, P(M_n ≥ 1+ε) = (1-ε)^n
Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)
P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.
Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n
Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}
Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.
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Can someone help me with these problems please
can anyone plz help me plz
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
Veronica wants to calculate her net pay at her new job. Her weekly paycheck is $229.09. She has the following deductions: Social Security tax, Medicare tax, $64.14 federal withholding tax, $29.78 state withholding tax. Calculate her net pay after deductions.
Answer:
whats the answer
Step-by-step explanation:
How is 0.2 and 20 related
find the matrix a' for t relative to the basis b'. t: r2 → r2, t(x, y) = (−8x y, 8x − y), b' = {(1, −1), (−1, 5)}
The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)
First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).
Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).
\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)
\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)
Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)
Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.
Now, we will write the equations with the coordinates of the basis vectors of \(b'\).
\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)
Now we will write the matrix of \(A\) as follows:
\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)
Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
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Aaron and Isaac both delivered pizzas, and they made a bet that each of them would deliver 100 pizzas in one week before the other. During Aaron's first week, he delivered 3 pizzas. During his second week, he delivered 6. During his third week, he delivered 12, and during his 4th week, 24. Isaac on the other hand, had better success. During his first week, he delivered 52. During his second week, he delivered 59. During his third week, he delivered 66, and during his 4th week, 73. If both boys continue to increase their deliveries at this rate, who will win the bet? Justify your solution.
Answer:
Aaron will win the bet if they continue to increase their deliveries at the same rate.
Step-by-step explanation:
Isaac started out delivering twice as much as Aaron did on his fourth week. By week 4, Isaac had delivered a total of 250 pizzas, while Aaron had only delivered 45. However, Aaron's output is doubling each week, while Isaac is only delivering 7 more each week. During week 5, Aaron will deliver 48 pizzas, and Isaac will deliver 80. During week 6, Aaron will deliver 96 pizzas, and Isaac will deliver 87. During week 7, Aaron will deliver 192 pizzas, and Isaac will deliver 94.
find the value for the constant c that makes the following function continuous on (-infinity,infinity)
f(x)=
cx+8 if x=(-infinity,7)
cx^2-8 if x=(7,infinity)
To make the function continuous on the interval (-infinity,infinity), we need to make sure that the two expressions for f(x) match at x=7. In other words, we need to have:
lim as x approaches 7 from the left of f(x) = lim as x approaches 7 from the right of f(x)
Using the given expressions for f(x), we can calculate these limits as:
lim as x approaches 7^- of f(x) = lim as x approaches 7^- of (cx+8) = 7c + 8
lim as x approaches 7^+ of f(x) = lim as x approaches 7^+ of (cx^2-8) = c(7^2)-8 = 49c - 8
Setting these equal to each other and solving for c, we get:
7c + 8 = 49c - 8
56c = 16
c = 2/7
Therefore, the value of the constant c that makes the function continuous on (-infinity,infinity) is c = 2/7.
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PLEASE HELP ME SOLVE THIS PROBLEM ASAP
Answer:
r = 1
Step-by-step explanation:
f(x)=-x^2+6x+19 find f(5)
Answer:
f(5) = 24
Step-by-step explanation:
Step 1: Define
f(x) = -x² + 6x + 19
f(5) = x = 5
Step 2: Substitute
f(5) = -(5)² + 6(5) + 19
Step 3: Evaluate
f(5) = -25 + 30 + 19
f(5) = 5 + 19
f(5) = 24
Q) The distance between points A(2,1) and B(2,4) is ___ units.
Please help....
And thanks...
Answer:
3 or (0,3)
Step-by-step explanation:
We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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Find the 12th term of the geometric sequence 2, 10, 50,. 2,10,50,.
Answer:
1062880
Step-by-step explanation:
⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880
Using the Binomial distribution,If n=7 and p=0.3, find P(x=6)
STEP - BY - STEP EXPLANATION
What to find?
P(x=6)
Given:
n=7 p=0.3
p+q = 1
⇒q = 1- p = 1-0.3 =0.7
Step 1
Recall the formula.
\(P(X=x)=^nC_xP^xq^{n-x}\)Step 2
Substitute the values into the formula.
\(P(x=6)=^7C_6(0.3)^6(0.7)^{7-6}\)Step 3
Simplify the above.
\(\begin{gathered} P(x=6)=7\times(0.3)^6\times(0.7) \\ \\ =0.0035721 \end{gathered}\)ANSWER
0.0035721
Evaluate the integral after changing to spherical coordinates.∫30∫√9−y2−√9−y2∫√9−x2−y20(x2z+y2z+z3)dzdxdy
To change to spherical coordinates, we can use the following formula:
x = ρ sin φ cos θ
y = ρ sin φ sin θ
z = ρ cos φ
We also note that the region of integration is a hemisphere with radius 3, and that the integrand contains x^2z+y^2z+z^3. Since we are integrating over a hemisphere, the bounds of ρ can be from 0 to 3, φ can be from 0 to π/2, and θ can be from 0 to 2π.
Next, we need to express the integrand in terms of ρ, φ, and θ. Substituting x, y, and z, we get:
x^2z + y^2z + z^3 = ρ^4 sin^2 φ cos^2 θ (ρ cos φ) + ρ^4 sin^2 φ sin^2 θ (ρ cos φ) + (ρ cos φ)^3
Simplifying, we get:
x^2z + y^2z + z^3 = ρ^5 cos^2 φ + ρ^3 cos^3 φ
Thus, the new integral is:
∫0^(2π) ∫0^(π/2) ∫0^3 (ρ^5 cos^2 φ + ρ^3 cos^3 φ) ρ^2 sin φ dρ dφ dθ
Integrating with respect to ρ, we get:
∫0^(2π) ∫0^(π/2) [ 1/6 ρ^6 cos^2 φ + 1/4 ρ^4 cos^3 φ ]_|ρ=0^3 sin φ dφ dθ
Simplifying and integrating with respect to φ, we get:
∫0^(2π) [ 9/5 sin^5 φ - 27/14 sin^7 φ ]_|φ=0^(π/2) dθ
Evaluating the limits, we get:
∫0^(2π) [ 9/5 - 27/14 ] dθ
Finally, evaluating the integral, we get:
∫0^(2π) [ 33/35 ] dθ = 66π/35
Therefore, the value of the integral after changing to spherical coordinates is 66π/35.
It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?
Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out
Step-by-step explanation:
Answer:
you have to use ads wich is stupid
Step-by-step explanation:
Question 14 (1 point) Circularity is used to achieve what application in the real world? a. Assembly (i.e shaft and a hole) b. Sealing surface (i.e engines, pumps, valves) c. Rotating clearance (i.e. shaft and housing) d. Support (equal load along a line element) Question 15 (1 point) When verifying a circularity tolerance, the inspection method must be able to collect a set of points and determine the: a. Circle that inscribes the set of points b. Circle that circumscribes the set of points. c. Distance between two coaxial cylinders that contain the set of points. d. Distance between two coaxial circles that contain the set of points.
In the real world, circularity is used for various applications, including assembly, sealing surfaces, rotating clearance, and support.
When it comes to verifying circularity tolerance, the inspection method must be able to determine either the circle that inscribes or the circle that circumscribes the set of points.
Circularity plays a crucial role in applications such as assembly, where a shaft and a hole need to fit together with precision. It is also important for sealing surfaces found in engines, pumps, and valves to ensure effective sealing and prevent leakage. Additionally, circularity is essential in achieving proper rotating clearance between components like a shaft and housing. Lastly, circularity ensures equal load distribution along a line element, providing stability and support.
When verifying circularity tolerance, the inspection method should determine either the circle that inscribes the set of points or the circle that circumscribes the set of points. The circle that inscribes the points is the smallest circle that can contain all the points, while the circle that circumscribes the points is the largest circle that encloses all the points. The inspection method should accurately identify and measure the properties of these circles to assess circularity tolerance.
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En la ecuacion de multiplicacion 8n = 56:
A) 7
B) 56
C) 6
Answer:
\(n = 7\)
Step-by-step explanation:
Divide ambos lados de la ecuación por 8:
\(8n + \div 8 = 56 \div 8\)
Cualquier expresión dividida por sí misma es igual a 1.
\(n = 56 \div 8\)
Calcula el cociente.
\(n = 7\)
Ecuación dada,
8n = 56
Para encontrar el valor de 'n' term
Solución\(8n = 56 \\ \\ = > n = \frac{56}{8} \\ \\ = > n = \cancel \frac{56}{8} \\ \\ = > n = 7\)
Entonces la opción A = 7Espero que esto te ayude ❤️why is part B 80 degrees?
Answer:
see below
Step-by-step explanation:
Angle B is 100 degrees because vertical angles are equal
<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary
B + X = 180
100 +x = 180
x = 180-100
x = 80