Answer:
40%
Step-by-step explanation:
Sold price =SP = $ 175
Cost price = CP =$ 125
Profit = Sp - CP = 175 - 125 = $ 50
Profit % = \(\frac{Profit}{CP}*100\)
\(= \dfrac{50}{125}*100\)
= 10 *4
= 40 %
I NEED AN ANSWER ASAP ILL GIVE 20 POINTS
Answer:
sorry I really need these points im so so sorry bro I need it too pass highschool
Step-by-step explanation:
Because number line divide into 2 parts, so denominator of fraction is 2
whole number 1, fraction = 2/2
whole number 2, fraction = 4/2
whole number 3, fraction = 6/2
Let f(x) = 24 - 5032 4 (a) Use the definition of a derivative or the derivative rules to find a (b) Use the definition of a derivative or the derivative rules to find f''(x) = (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing - (e) On what interval is f concave downward (include the endpoints in the interval)? interval of concave downward () On what interval is f concave upward (include the endpoints in the interval)? interval of concave upward
Using the definition of derivative, we have a) f'(x) = - 20x^3 and b) f''(x) = - 60x^2. f increases on interval (-∞, 0), decreases on interval (0, ∞), concave downward on intervals (-∞, 0) and (0, ∞) and upward on interval (0, ∞).
(a) Using the power rule of differentiation, we have:
f'(x) = - 20x^3
(b) Using the power rule again, we have:
f''(x) = - 60x^2
(c) For f to be increasing, we need f'(x) > 0. From part (a), we see that f'(x) > 0 when x < 0 and f'(x) < 0 when x > 0. Thus, f is increasing on the interval (-∞, 0).
(d) For f to be decreasing, we need f'(x) < 0. From part (a), we see that f'(x) < 0 when x > 0 and f'(x) > 0 when x < 0. Thus, f is decreasing on the interval (0, ∞).
(e) For f to be concave downward, we need f''(x) < 0. From part (b), we see that f''(x) < 0 when x ≠ 0. Thus, f is concave downward on the intervals (-∞, 0) and (0, ∞).
(f) For f to be concave upward, we need f''(x) > 0. From part (b), we see that f''(x) > 0 when x = 0. Thus, f is concave upward on the interval (0, ∞).
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Example 4.5 introduced the concept of time headway in traffic flow and proposed a particular distribution for x = the headway between two randomly selected consecutive cars (sec). Suppose that in a different traffic environment the distribution of time headway has the form f(x)={ k/x^4 where x>1 and 0 where x<=1 a. determine the value of k for which f(x) is a legitimate pdf. b. obtain the cumulative distribution function. c. use the cdf from (b) to determine the probability that headway is between 2 and 3 sec. d. obtain the mean value of headway and the standard deviation of headway e. what is the probability that headway is within 1 standard deviation of the mean value?
The value of k for which f(x) is a legitimate pdf is 3.
To determine the value of k for which f(x) is a legitimate probability density function (pdf), we need to ensure that the integral of f(x) over its entire range is equal to 1.
Integrating f(x) over the range x > 1:
∫[1, ∞] (k/x^4) dx = 1
Evaluating the integral:
[-k/(3x^3)] from 1 to ∞ = 1
Taking the limit as x approaches infinity:
[-k/(3x^3)] from 1 to ∞ = -k/(3∞^3) - (-k/(3(1)^3)) = 0 - (-k/3) = k/3
Setting this equal to 1:
k/3 = 1
Solving for k:
k = 3
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What expression and quotient does the diagram model?
Answer:
The expression (quotient) which is modelled by the given diagram as in the task content is; (x²+x-2)/(x-1) = x +2.
Which expression and quotient is depicted by the diagram model as in the task content?
It follows from the task content that the diagram model in discuss by observation involves a quotient in which case, the division is; (x-1).
Additionally, the dividend in the quotient by observation is the sum of terms as follows;
x² + x +x -x -1 -1 = x²+x -2.
Ultimately, the result of the division according to the model is; (x +2).
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Step-by-step explanation:
The second number in an ordered pair is the y-coordinate. Start at the origin. How many units do you move along the y-axis to be lined up across from point D?
We would need to move 8 units along the y-axis to be lined up across from point D.
How to explain the informationIn an ordered pair (x, y), x represents the coordinate along the horizontal x-axis, and y represents the coordinate along the vertical y-axis. The origin is located at (0, 0), where both coordinates are equal to zero.
In this case, to determine how many units to move along the y-axis to be lined up across from point D, we need to know the y-coordinate of point D. If the coordinates of point D are given, we simply need to take the absolute value of the difference between the y-coordinate of the origin (which is 0) and the y-coordinate of point D.
For example, if the coordinates of point D are (5, 8), we would need to move 8 units along the y-axis to be lined up across from point D. The calculation would be:
|0 - 8| = 8
So, we would need to move 8 units along the y-axis to be lined up across from point D.
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Pls answer this asap
Answer:
The correct answer is A
Step-by-step explanation:
2 is exactly 7 units away from -5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
Let's actually find the line of best fit...
m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)
m=(11*836-130*55)/(11*385-3025)
m=2046/1210
m=93/55
b=(Σy-93Σx/55)/n
b=(55Σy-93Σx)/(55n)
b=(7150-5115)/(55*11)
b=185/55, so the line of best fit is:
y=(93x+185)/55
A) The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.
Which means that those who do not practice at all will win about 3.36 times
B) y(13)=(93x+185)/55
y(13)≈25.34
So after 13 months of practice one would expect to win about 25.34 times.
what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
How to tell the difference between permutation and combination?.
Answer:
Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.
Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.
The set S={at 2
+a 2
t−a∣a∈R} is a subspace of P 2
. Select one: True False
Let's consider the set
S = {at² + a²t - a ∣ a ∈ R}.
We need to find out whether the set S is a subspace of P2.
In order to prove that a subset of vector space is a subspace of it, we need to confirm that the subset is non-empty and satisfies the following 3 conditions:
1. Closure under vector addition:
if u and v are any vectors in the subset S, then u+v is also in the subset S.
2. Closure under scalar multiplication: if u is any vector in the subset S and k is any scalar, then ku is also in the subset S.
3. It contains the zero vector:
the subset S must contain the zero vector, 0.
The given set
S = {at² + a²t - a ∣ a ∈ R} is not a subspace of P2 because it does not contain the zero vector.
Since the set S does not contain the zero vector, we cannot perform vector addition and scalar multiplication operations on it.
Therefore, the given statement "The set S={at²+a²t−a∣a∈R} is a subspace of P2" is False.
Therefore, the correct option is False.
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An airline knows that over the long run 90% of passengers who reserve seats show up for their flight. On a particular flight with 300 seats, the airline accepts 324 reservations. Assuming that passengers show up independently, what is the chance that the plane will be overbooked? (hint: think binomial)
Using this formula, we can calculate that the chance that the plane will be overbooked is 35.1%. This means that there is a 35.1% chance that more than 300 passengers will show up for the flight despite the airline only having 300 seats.
The chance that a plane will be overbooked is calculated using a binomial probability formula. The formula is P(x) = nCx * p^x * (1 - p)^(n - x), where n is the number of trials (in this case, 300), x is the number of successes (in this case, 324 reservations), and p is the probability of success (in this case, 90%).
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4. In how many ways can 5 men and 7 women be seated in a row so that no two men are next to each other? You must justify your answer.
Answer:
3628800 ways if the women are always required to stand together.
To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.
First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).
Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.
Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.
Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.
There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.
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Find x in this geometry question
Answer:
AB || CE, so we have triangle DEO, two of whose angles are 100° and 26° (from point D, draw DE such that CD + DE = CE intersects BO). The third angle of this triangle measures 54°, so
x = 180° - 54° = 126°.
Can someone do step to step for question c please thank u
Answer:
x=-2
Step-by-step explanation:
A catering company needs 8.75 lb of shrimp for a small party. They buy lb of jumbo shrimp, lb of 3/2 3/2 5/8 medium-sized shrimp, and some mini-shrimp. How many pounds of mini-shrimp do they buy?
The catering company bought 59/24 lbs of mini shrimp.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Given that the total shrimp needed is 8.75 lbs
Jumbo shrimp = 3²/₃
Medium-sized shrimp = 2⁵/₈
The total shrimp needed is 8.75 lbs, we need to change this decimal number into fraction:
8.75 - (3²/₃ + 2⁵/₈)
8.75 - (11/3 + 21/8)
8.75 - (88/24 + 63/24)
8.75 - 151/24
210/24 - 151/24
= 59/24 lbs of mini shrimp
So, the mini shrimp bought is 59/24 lbs
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In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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Determine Mrs chaukes annual income if she earns 32040 per month
Answer:
384,480
Step-by-step explanation:
32040 x 12 = 384,480
Mrs. Chaukes annual income is 384,480.
Data
Monthly Income = 32,040Annual income = ?What is Annual IncomeThis is the total amount earned in a given year. It is often calculated as the sum of your monthly income throughout the 12 known months in a calendar year.
To find Mrs. Chaukes annual income, we simply need to multiply her monthly income by 12 to get that answer.
\(32040 * 12 = 384480\)
Mrs. Chaukes annual income is 384,480.
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A 10 m long wire is aligned with the z-axis and is symmetrically placed at the origin. Find the magnetic field at (i) point (x, y, z) = (1, 2, 5) (ii) point (p. p. z) = (2,7/3, 10) (iii) point (r, 0, 0) (10, π/3, π/2). vector field is
magnetic field at (i) is B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³ (ii)B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³ (iii)B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³.
To find the magnetic field at different points in space due to a wire aligned with the z-axis, we can use the Biot-Savart Law.
Given that the wire is aligned with the z-axis and symmetrically placed at the origin, we can assume that the current is flowing in the positive z-direction.
(i) At point (1, 2, 5):
To find the magnetic field at this point, we can use the formula:
B = (μ₀/4π) * (I * dl x r) / r³
Since the wire is aligned with the z-axis, the current direction is also in the positive z-direction.
Therefore, dl (infinitesimal length element) will have components (0, 0, dz) and r (position vector) will be (1, 2, 5).
Substituting the values into the formula, we get:
B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³
(ii) At point (2, 7/3, 10):
Similarly, using the same formula, we substitute the position vector r as (2, 7/3, 10):
B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³
(iii) At point (10, π/3, π/2):
Again, using the same formula, we substitute the position vector r as (10, π/3, π/2):
B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³
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Rudy took a test and earned a 92%. Camilo earned 88% on the same test. If Rudy answered 46 questions correctly, how many more questions did he answer correctly than Camilo?
Answer:
Rudy answered 2 questions more than Camilo.
Step-by-step explanation:
multiple regression analysis is applied when analyzing the relationship between __________.
Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.
Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.
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difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767
The total number of samples will be 1109 .
Given ,
Margin of error 0.02
Here,
According to the formula,
\(Z_{\alpha /2} \sqrt{pq/n}\)
Here,
p = proportions of scientist that are left handed
p = 0.09
n = number of sample to be taken
Substitute the values,
\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)
n ≈1109
Thus the number of samples to be taken will be approximately 1109 .
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EASY! PLEASE HELP. HIGH POINTS
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
Subtract 11-5.
Subtract 12-4.
Add 11+5.
Add 12+4.
Answer:
Highest value - lowest value. So 12-4
What are the answers to these questions
Answer:
135°
Step-by-step explanation:
You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°
Find the values of a and b for which LMNO is a parallelogram
A. A=50,b=60
B. A=60,b=50
C. A=50, b=70
D. A= 70,b=50
Answer:
a = 50, b = 70
Step-by-step explanation:
In a parallelogram, opposite angles are congruent so we can write the following equation to solve for b:
b + 20 = 2b - 50
-b = -70
b = 70
To solve for a:
a + 40 = 2a - 10
-a = -50
a = 50
Given m<7=107 and m<4= (8x+1) what is the value of x?
The value of x comes out to be 9.
Here, we are given that m∠7 = 107 and m∠4 = (8x+1)
From the figure given below, we can see that angle 7 and angle 6 are vertically opposite angles. Thus-
angle 7 = angle 6
measure of angle 6 = 107°
Now, angle 6 and angle 4 are opposite interior angles and the sum of opposite interior angles is equal to 180. Thus-
m∠4 + m∠6 = 180
8x + 1 + 107 = 180
8x + 108 = 180
8x = 180 - 108
8x = 72
x = 72/8
x = 9
Thus, the value of x comes out to be 9.
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Your question was incomplete. Check for the missing figure below.
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find the number, x.
A. 2x+8=x-3
B. 2(x+8)=x-3
C. 2(x+8)=3-x
D. 2x+8=3-x
Answer:
f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)
Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:
2(x-8)=3(x+3)
2x-16=3x+9
x=-25
two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in figure 1. the distance from w to h is 45 inches. then the same two tiles are rearranged at the top and at the base of the door frame, as shown in figure 2. the distance from y to z is 37 inches. what is the height of the door frame, in inches?
The height of the door frame is approximately \(68.2 + 2t = 68.2 + 2\sqrt(131.2) \approx95.1\)inches.
Basic geometry concepts.
Firstly, we need to recognize that the two identical rectangular tiles form a vertical rectangle in both figure 1 and figure 2.
Let's call the height of this rectangle "h" and the width "w".
In figure 1, we can see that the distance from the top of the rectangle to the top of the door frame is "h".
Similarly, the distance from the bottom of the rectangle to the bottom of the door frame is also "h".
Therefore, the height of the door frame is simply the sum of the height of the rectangle and the height of the two tiles.
Height of door frame = h + 2t
"t" is the height of one tile.
Next, we can use the same logic for figure 2.
The distance from the top of the rectangle to the top of the door frame is now "y".
Similarly, the distance from the bottom of the rectangle to the bottom of the door frame is "z".
Therefore, we can write:
\(Height of door frame = (h - t) + 2t\)
Where (h - t) is the height of the rectangle above the tiles.
Now, we can equate the two expressions for the height of the door frame:
\(h + 2t = (h - t) + 2t\)
Simplifying, we get:
h = 3t
We are given that the distance from w to h is 45 inches, so we can use Pythagoras' theorem to find the length of the rectangle:
\(w^2 + h^2 = 45^2\)
Substituting h = 3t, we get:
\(w^2 + 9t^2 = 2025\)
Similarly, we can use the information in figure 2 to get another equation:
\(w^2 + 4t^2 = 1369\)
Now we have two equations with two variables (w and t), which we can solve simultaneously.
Subtracting the second equation from the first, we get:
\(5t^2 = 656\)
Therefore,
\(t^2 = 131.2\)
And
\(h = 3t = 3sqrt(131.2)\)\(\approx68.2 inches\)
Finally, we can use the Pythagorean theorem again to find the length of the door frame:
\(w^2 + h^2 = 45^2\)
Substituting h = 68.2, we get:
\(w^2 + 68.2^2 = 2025\)
Solving for w, we get:
\(w \approx 41.2 inches\)
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Simplify 9729 O A) 12 B) 6 C) 8 D 9
Here, we want to find the cube root of 729
Mathematically, we are looking for a number which when multiplied by itself 3 times will give 729
Out of the options, the only value that does this is 9
This is because;
\(9\times9\times9\text{ = 729}\)use the following information for question 2 - 6: tv advertising agencies face increasing challenges in reaching audience members because viewing tv programs via digital streaming is gaining in popularity. the harris poll reported on november 13, 2012, that 53% of 2343 american adults surveyed said they have watched digitally streamed tv programming on some type of device. question 2: what is the sample proportion?
The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).
Given that,
Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.
We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?
We know that,
n = 2343
Point estimate = sample proportion = \(\hat p\) = 0.530
1 - \(\hat p\) = 1 -0.530 = 0.470
At 99% confidence level
α = 1-0.99% =1-0.99 =0.01
α /2 =0.01/ 2= 0.005
Z(α /2) = Z0.005 = 2.576
Z (α/2) = 2.576 = 2.58
Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)
=2.576 × (√(0.530×(0.470) /2343 )
= 0.027
A 99% confidence interval for population proportion p is ,
\(\hat p\)- E < p < \(\hat p\) + E
0.530 -0.027 < p < 0.530 +0.027
0.503 < p < 0.556
( 0.503, 0.556 )
Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).
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Question 1: Are the following two monomials multiplied correctly?
Yes or no