Sanjay sold 8kg of sugar at Rs 28 per kg and earned a profit of Rs 40 What was the cost price per kg
Answers
Answer:
23
Step-by-step explanation:
8 kg * 28 per kg = Rs. 224
Profit = Rs. 40
CP = SP - Profit
224 - 40
184
184 / 8
23
Related Questions
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
Answers
A machine packages barley into plastic bags. The weight of each bag of barley is supposed to be 10 ounces, but acceptable weights can vary by 0.3 ounces.
Which equation represents the minimum and maximum weights allowed for a bag of barley?
a) | x-0.3 | = 10
b) | x-10 | = 0.3
c) | x+0.3 | = 10
d) | x+10 | = 0.3
Answers
Based on the fact that the weight of each bag of barley can vary by 0.3, the maximum and minimum weights allowed can be represented as b) | x-10 | = 0.3.
What equation shows the maximum and minimum?The equation that would represent the minimum and maximum weights should give the minimum result as:
= 10 - 0.3
= 9.7
The maximum should be:
= 10 + 0.3
= 10.3
The equation that shows that:
| x-10 | = 0.3
This equation can be split into:
x - 10 = 0.3........................................(1)
x = 10.3
-(x - 10) = 0.3 ....................................(2)
x = 9.7
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The table is a linear function k(x). If k(x) = mx+b what is the value of m + b?
Answers
Answer:
6
Step-by-step explanation:
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterly data on number of contracts during the 3-year period from 2010 to 2012. The following is the resulting regression equation: In γ = 3.37 + 0.117 X - 0.083 Q1 + 1.28 Q2 + 0.617 Q3
where γ is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise In testing the coefficient for Q1 in the regression equation (-0.083), the results were a t-statistic of -0.66 and an associated p-value of 0.530. Which of the following is the best interpretation of this result? a. The number of contracts in the first quarter of the year is not significantly different from the number of contracts in an average quarter (a = 0.05). b. The number of contracts in the first quarter of the year is significantly different from the number of contracts in an average quarter (a = 0.05). c. The number of contracts in the first quarter of the year is significantly different from the number of contracts in the fourth quarter for a given coded quarterly value of X (a = 0.05).
d. The number of contracts in the first quarter of the year is not significantly different from the number of contracts in the fourth quarter for a given coded quarterly value of X (a = 0.05).
Answers
The best interpretation of the result is that the number of contracts in the first quarter of the year is not significantly different from the number of contracts in an average quarter (option a).
The t-statistic measures the significance of a coefficient in a regression model. In this case, the t-statistic for the coefficient of Q1 is -0.66, and the associated p-value is 0.530. To interpret these results, we compare the p-value to the chosen significance level (α = 0.05 in this case). If the p-value is less than α, we can conclude that the coefficient is statistically significant. Since the p-value of 0.530 is greater than α, we fail to reject the null hypothesis. This means that there is insufficient evidence to conclude that the number of contracts in the first quarter of the year is significantly different from the number of contracts in an average quarter. Therefore, the best interpretation is option a, stating that the number of contracts in the first quarter of the year is not significantly different from the number of contracts in an average quarter.
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if you were given the following statements write your conclusion :
Answers
Step-by-step explanation:
because vertically opposite angles always intersect at a point
given the length of a human's femur, x, and the length of a human's humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?
Answers
The length of a human's femur, x, and the length of a human's humerus, Y would ,positive correlation.
A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.
A scale from + 1 to -1 is used to calculate the correlation coefficient. Either + 1 or -1 represents a variable's complete connection with another. The correlation is positive when one variable rises as the other rises; it is negative when one variable falls as the other rises.
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a large tank is filled to capacity with 400 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.
Answers
The number a(t) is 5Q(t)=20t+2000 of pounds of salt in the tank at time t.
The expression that gives the amount of salt in the tank at any given time t is given as a(t)=5Q(t),
where Q(t) is the total amount of water and brine in the tank at time t.
We will use the differential equation to solve the problem.
The differential equation for Q(t) is given by the differential equation:
dQ/dt=4.
To solve this differential equation, we can use the initial condition that the tank is full of 400 gallons of pure water when t=0.
This means that Q(0)=400.
The solution to the differential equation is Q(t)=4t+400.
The expression for a(t) is therefore a(t) = 5Q(t) =20t+2000.
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Find the distance between two numbers on a number line. Write your answer as a decimal-2.2,8.4 the distance between two numbers is
Answers
The distance between these two numbers on a number line is equal to -10.6.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
Now, we can determine the distance by taking the difference between both values as follows:
Distance = -2.2 - 8.4
Distance = -10.6.
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Rubber balls with a radius of 15 millimeters are stored in a 60,000 cubic millimeter box. What is the maximum number of rubber balls that will fit in the box?
A maximum of Select Choice rubber balls will fit in the box.
Answers
A 60,000 cubic millimeter box contains rubber balls with a radius of 15 millimeters. A maximum of 4 balls will fit in rubber box.
For finding the maximum number of rubber balls, firstly we will need the volume of the box. We have been given that the volume of the box is 60,000 mm³.
Now, we will find the volume of the rubber balls which have to be fit in the box. We know that the radius of one ball is 15 mm.
Volume of ball = 4/3 πr³
= 4/3 × 22/7 × 15³
= 4/3 × 22/7 × 3375
= 99,000/7
To find the maximum number of balls, we will divide the volume of box by volume of sphere.
Maximum number of balls = volume of box / volume of balls
= 60,000 / (99,000 / 7)
= (60,000 × 7) / 99,000
= 420 / 99
= 4.24
So, rounding up maximum 4 balls can be fit into the box.
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Correct question:
Rubber balls with a radius of 15 millimeters are stored in a 60,000 cubic millimeter box. What is the maximum number of rubber balls that will fit in the box?
write in word form (5+7)x2
Answers
Answer:
five plus 7 times two
Step-by-step explanation:
a pollster is interested in knowing which presidential candidate voters prefer in the upcoming election. in an effort to obtain this information, 1000 voters are randomly selected and asked their preference. the sample in this situation is
Answers
To help account for variability, the pollster used a simple random sample.
Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.
In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.
Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.
In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.
Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.
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Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $70 bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks.
Answers
Answer:
4
Step-by-step explanation:
70=10w+30
70 is the total she needs for the bike, 10 is the total amount of dollars she gets per week, w is the total numbers of weeks she worked, and 30 is the total amount of money she already has.
If f(1) = 0, what are all the roots of the function f (x) = x cubed 3 x squared minus x minus 3? Use the Remainder Theorem. X = –1, x = 1, or x = 3 x = –3, x = –1, or x = 1 x = –3 or x = 1 x = –1 or x = 3.
Answers
All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
What is polynomial?
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The function given in the problem is,
\(f(x)=x^3+3x^2-x-3\)
If f(1) = 0
\(f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0\)
Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'
\(x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0\)
Equate all the groups to zero to find the roots as,
\(x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1\)
Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
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Answer: B
Step-by-step explanation:
Please help me Mr Thompson!!! MY HOMEWORK!
Answers
Question 2 is standard form
Question 3 I think is +3
Question 4 is A
Question 5 it has no real solution
Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.y=3x y=18 solve for x
Answers
Answer:
6=x
Step-by-step explanation:
y= 18; y= 3x
18=3x
18/3 = 3x/3
6=x
Hope this helps!
(task 3) If this solid was rotated around the line y = -1, how would the integral change? Without calculating the value of the integral, would the volume be more or less? Explain.
Answers
If a solid is rotated around a line that is below the x-axis, the volume of the solid will be less than the volume of the solid rotated around the x-axis
How to explain the informationThe integral would change because the line y = -1 is below the x-axis. This means that the volume of the solid would be less than the volume of the solid rotated around the x-axis.
The difference between these two integrals is the term (-1)^2 = 1. This means that the volume of the solid rotated around the line y = -1 is 1 less than the volume of the solid rotated around the x-axis.
In general, if a solid is rotated around a line that is below the x-axis, the volume of the solid will be less than the volume of the solid rotated around the x-axis.
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James lives in san francisco and works in mountain view. in the morning, he has 333 transportation options (bus, cab, or train) to work, and in the evening he has the same 333 choices for his trip home.
Answers
The probability that James will take the same mode of transportation twice is 1/9.
To find the probability that James will take the same mode of transportation twice, we need to calculate the probability of each individual transportation option and then multiply them together.
In the morning, James has 3 transportation options: bus, cab, or train. Since he randomly chooses his ride, the probability of selecting any particular option is 1 out of 3 (assuming all options are equally likely).
Therefore, the probability of James selecting the same transportation mode in the morning and evening is 1/3.
Hence, the probability that James will take the same mode of transportation twice is 1/3 multiplied by 1/3:
P(same mode of transportation twice) = 1/3 * 1/3 = 1/9.
Therefore, the probability that James will take the same mode of transportation twice is 1/9.
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A standard normal distribution is a normal distribution with : a . a mean of zero and a standard deviation of one b . a mean of one and a standard deviation of zero c . a mean zero and a standard deviation of zero d . a mean of one and a standard deviation of one e . none of these
Answers
A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.
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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.
A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.
The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.
The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.
The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.
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a man is putting a fenxe around his rectangular yard. his lot measures 13.5 ft long and 47.75 ft wide. the fencing comes in rolls that are 50 ft long. how many numbers of rolls does he need to buy
Answers
number of rolls needed = 3
Explanation:length of lot = 13.5 ft
width of lot = 47.75 ft
Since the man is putting a fence round, we would find the perimter of the lot:
perimeter of rectangle = 2(length + width)
perimeter of rectangle = 2(13.5 + 47.75) = 2(61.25)
perimeter of rectangle = 122.5ft
Length of rolls = 50 ft
Number of rolls needed = perimeter of rectangle/length of rolls
Number of rolls needed = 122.5/50 = 2.45
To the nearest whole number, number of rolls needed = 3
Nicole had two days to write a paper for her english class. She wrote 3 5/7 the first day and 4 1/2 pages the second day. How many total pages did nicole write for her paper.
Answers
Answer:
8 3/14 total pages
Step-by-step explanation:
3 + 4 = 7
5/7 + 1/2 = 10/14 + 7/14 = 17/14 = 1 3/14
7 + 1 3/14 = 8 3/14
In civics, 5 of 12 freshmen have brown hair and 6 out of 15 sophomores have brown hair. What is the probability of randomly selecting a sophomore or someone with brown hair?
Answers
Answer: 20/27
Step-by-step explanation: 15/27 + 5/27= 20/27
Walter’s sink can hold 12 gallons of water. If it is 85% full, how many gallons of water are in the sink?
Answers
Answer:
10.2 gallons
Step-by-step explanation:
19. Write the slope-intercept form of the line described in the following:Perpendicular to x + 4y = 12 and passing through (7, -3)
Answers
The Slope-Intercept form of an equation of the line is:
\(y=mx+b\)Where "m" is the slope and "b" is the y-intercept.
Given this line:
\(x+4y=12\)You need to solve for "y" in order to write it in Slope-Intercept form:
\(\begin{gathered} 4y=-x+12 \\ y=\frac{-1}{4}x+\frac{12}{4} \\ \\ y=-\frac{1}{4}x+3 \end{gathered}\)So you can identify that the slope of that line is:
\(m_1=-\frac{1}{4}\)By definition, the slopes of perpendicular lines are opposite reciprocals. Then, you can determine that the slope of the other line is:
\(m_2=4\)Knowing that it passes through this point:
\(\mleft(7,-3\mright)\)You can substitute the coordinates into the equation and solve for "b":
\(\begin{gathered} -3=4(7)+b \\ -3-28=b \\ b=-31 \end{gathered}\)Knowing the value of "b" and knowing the slope, you can determine that the equatio of the line in Slope-Intercept for
A chi-square test for independence has df = 2. what is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?
Answers
According to the given statement There are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).
In a chi-square test for independence, the degrees of freedom (df) is calculated as (r-1)(c-1),
where r is the number of rows and c is the number of columns in the contingency table or matrix.
In this case, the df is given as 2.
To determine the total number of categories (cells) in the matrix, we need to solve the equation (r-1)(c-1) = 2.
Since the df is 2, we can set (r-1)(c-1) = 2 and solve for r and c.
One possible solution is r = 2 and c = 3, which means there are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).
However, it is important to note that there may be other combinations of rows and columns that satisfy the equation, resulting in different numbers of categories.
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suppose that f: a → b. match the property on the left with the corresponding method for showing that the property holds on the right. instructions
Answers
Here are the properties on the left and their corresponding methods for showing that the property holds on the right:
Properties on the left:
Method for showing that the property holds on the right:
f is one-to-one
Show that f(a) = f(b) implies that a = b. f is onto
Show that for every b in B, there is an a in A such that f(a) = b. f is a bijection
Show that f is both one-to-one and onto. The given properties pertain to functions and set theory. Here, f(a) and f(b) are two elements in the function domain.
A function is said to be one-to-one if distinct elements in the domain have distinct images in the range. In contrast, a function is called onto if every element of the range is an image of at least one element in the domain.
A function is called a bijection if it is both one-to-one and onto, meaning that every element in both domains corresponds to a unique element in the other domain.
To show that a function satisfies one of these properties, we must perform a specific method of proof. These methods are as follows:
To prove that f is one-to-one, we must show that f(a) = f(b) implies that a = b.
To prove that f is onto, we must show that for every b in B, there is an a in A such that f(a) = b.
To prove that f is a bijection, we must show that f is both one-to-one and onto.
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the figure is cut into 8 equal pieces shade 1/4
Answers
Answer:
Shade 2 of the pieces
Step-by-step explanation:
answer the blank bits bc I can't get it ahwnqnsi
Answers
Answer:
b. 5 ( I think)
c. don’t know
e. -4 and 7
Sorry this one’s a lot harder
Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
Answers
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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Which one of the following technological activities would most likely have a negative linear correlation coefficient over the course of the last 5 years? A. the number of text messages sent from a cell phone B. number of phone calls made on a cell phone C. the number of emails sent from a computer D. number of phone calls made on a landline
Answers
Answer: D) phone calls made on a landline
More and more people are using cellphones, because of the convenience of having your phone with you at all times. From an economical standpoint, it doesn't make sense to pay for both a cell phone and a landline (especially if your budget is thin). So many people have decided to drop having a landline all together. The less people using a landline produces a negative downward trend, which is why we have negative linear correlation.
How can you describe the behavior of the graph of a polynomial function at its intercept with even number of multiplicities?
Answers
At its intercept with even number of multiplicities, the graph of a polynomial function will have a smooth curve that passes through the intercept point. The curve will loop around the intercept point, increasing and then decreasing in a cyclic manner, before repeating the pattern.
At its intercept with even number of multiplicities, the graph of a polynomial function will have a smooth curve that passes through the intercept point. This is because the multiplicities of the intercept point are even, meaning that the graph will not have a hard turn or corner at the intercept point. Instead, the graph will loop around the intercept point, gradually increasing until it reaches a peak before gradually decreasing and eventually reaching the same point it started at. This cyclic pattern will repeat itself as the graph moves away from the intercept point. The even number of multiplicities means the graph will not have any sharp turns or corners, only a smooth curve that passes through the intercept point.
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