the correct domain oh h is C
How much is 135 kilograms in pounds ?
135 kilograms is approximately 297.62 pounds. This is calculated by multiplying 135 kilograms by 2.20462262185 pounds per kilogram.
The conversion from kilograms to pounds is calculated by multiplying the number of kilograms by 2.20462262185. This is because there are approximately 2.20462262185 pounds per kilogram. Therefore, 135 kilograms is equal to approximately 297.62 pounds. To calculate this, multiply 135 by 2.20462262185. The result is 297.62 pounds. This is the conversion from 135 kilograms to pounds. It is important to note that the exact conversion may vary slightly depending on the specific conversion factor used. For example, some sources may use a slightly different conversion factor, so the exact conversion may be slightly different. Therefore, it is important to confirm the conversion factor used when using this conversion.
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Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
What is the constant of proportionality?
Answer:
4 dollars per week
Step-by-step explanation:
Hey guys can someone please help me on a little problem? Which of the following is another way to express -13 - 7? 1. -13 + 7 2. -13 + (-7) 3. 13 + 7 4. 13 + (-7)
Answer:
number 3
Step-by-step explanation:
Solve 278=34(z+1) . Express your answer as a mixed number in simplest form.
z=122/17
Step-by-step explanation:
1) Distribuez: 278=34z+34
2) Soustrayez 34 des deux côtés: 244=34z
3) diviser les deux par 34 puis simplifier: le résultat est z= 122/17
Use these equations to find ∂z/∂x and ∂z/∂y for the following.
x8 + y8 + z5 = 6xyz
For the given equation x⁸ + y⁸ + z⁵ = 6xyz, the value of partial derivatives are ∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz) and ∂z/∂y = (6xz) / (8y⁷ - 6xy)
To find the partial derivatives ∂z/∂x and ∂z/∂y for the equation x⁸ + y⁸ + z⁵ = 6xyz, we need to differentiate the equation with respect to x and y while treating y and z as constants.
Taking the partial derivative with respect to x (∂z/∂x), we differentiate each term separately:
8x⁷ + 0 + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)
Simplifying the equation, we get:
8x⁷ + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)
Now, let's take the partial derivative with respect to y (∂z/∂y):
0 + 8y⁷ + 0 (∂z/∂y) = 6xz + 6xy(∂z/∂y)
Simplifying further:
8y⁷ (∂z/∂y) = 6xz + 6xy(∂z/∂y)
To find the values of ∂z/∂x and ∂z/∂y, we need to isolate the partial derivatives:
∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz)
∂z/∂y = (6xz) / (8y⁷ - 6xy)
These equations give the partial derivatives of z with respect to x and y for the given equation x⁸ + y⁸ + z⁵ = 6xyz.
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Apply the distributive property to factor out the greatest common factor. 24+18t =24+18t=24, plus, 18, t, equals.
The distributive property to factor out the greatest factor 24+18t is 6(4+3t).
The distributive property to factor out the greatest common factor 24+18t.
The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis. The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation. This property can be stated symbolically as:
A ( B+ C) = AB + ACWell, some of the common factors that 24 and 18 shares are 2, 3, and 6.
The greatest factor is 6.
⇒ \(\frac{24}{6}\)=4
⇒ \(\frac{18t}{6}\)=3
Because 6x4=24 and 6 x 3t= 18t
Therefore, the distributive property to factor out the greatest factor 24+18t is 6(4+3t).
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A shoebox holds a number of disks of the same size. There are 5 red, 6 white, and 14 blue disks. You pick out a disk, record its color, and return it to the box. If you repeat this process 250 times, how many times can you expect to pick either a red or white disk?
Responses
We can expect to pick either a red or white disk approximately 70 times in 250 trials as the probability of picking either a red or white disk on any given trial is = 7/25.
What is probability?In mathematics, the probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. The probability of an event A is denoted by P(A).
According to the given informationThe probability of picking either a red or white disk on any given trial is the sum of the probabilities of picking a red disk and a white disk.
The probability of picking a red disk on any given trial is 5/25 = 1/5 since there are 5 red disks out of a total of 25 disks. Similarly, the probability of picking a white disk on any given trial is 6/25.
So, the probability of picking either a red or white disk on any given trial is:
P(red or white) = P(red) + P(white) = 1/5 + 6/25 = 7/25
To find the expected number of times of picking either a red or white disk in 250 trials, we multiply the probability of picking a red or white disk by the number of trials:
Expected number of red or white disks = (7/25) * 250 = 70
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The population of the state of Nebraska was about 1,937,552 people in 2020. Which number best approximates the population as a single digit times a power of 10? A. 2 x 100 B. 1x 106 C. 2x107 D. 1x 107. i need help
Answer:
A. 2 * 10^6
Step-by-step explanation:
A. 2 * 10^6 = 2 000 000
B. 1 * 10^6 = 1 000 000
C. 2 * 10^7 = 20 000 000
D. 1 * 10^7 = 10 000 000
Therefore, the answer A in standard form is the closest approximation of the population in the state of Nebraska.
What is the description of <2 as it relates to the situation shown?
Consider the following example.
IN here, we have angles 1 and 2 measured with respect the horizontal line that passes through point A. Note that angle 2 is related to points A and C. In this case, angle is under the horizontal line that passes through A. Then, angle 2 is the angle of depression from point A to point C. Every angle that is under the horizontal line would receive the name of angle of depression. In the same manner, since angle 1 is above the horizontal line, then it is an elevation angle from point A to point C. In fact, every angle that is above the horizontal line, would receive the name of elevation angle.
Coming back to our problem, we can see that angle 2 is formed by the horizontal line that passes through the radar and the line that connects the plane to the radar. This angle would be above the horizontal line of the radar. Then, according to our previous explanation, this means that angle 2 is an elevation angle from the radar to the plane.
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
Fill in the blank to make the two fractions equivalent. 5/8 = x/24
Answer:
1) The trick to making these fractions equivalent is to make sure they have the same denominator. to do this you need to know your multiplication facts. These are the multiples when you multiply two numbers together.
2) Since 24 is the largest denominator, you need the smallest denominator into 24ths, which you do by multiplying 8 x 3, giving you 24.
3) Whatever you do to the denominator, you do to the numerator, so multiply 5 x 3, which is 15.
4) New fraction for 5/8 becomes 15/24.
5) So 5/8 is equivalent. to 15/24.
Step-by-step explanation:
5/8 = x/24
5 x 3 = 15
8 x 3 24
Proof: Reduce 15/24 by dividing 3 into both numbers (15÷3) and (24÷3) = 5/8.
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
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Find the area of both of these trapeziods using the formula (b1 + b2) • h ÷ 2.
Calculate the difference in areas of the two trapeziods.
Answer:
Area of trapezoid 1: 128
Area of trapezoid 2: 24
Step-by-step explanation:
Trapezoid 1:
(18 + 14)8/2
32*8/2
256/2
128
Trapezoid 2:
(9 + 7)3/2
16*3/2
48/2
24
Rejecting the null hypothesis when it is true is called a ________ error, whereas not rejecting a false null hypothesis is called a ________ error.
a. Type II; Type I
b. Type I; Type II
c. minor; major
d. significant; nonsignificant
The correct option is b.Type I; Type II.
Rejecting the null hypothesis when it is true is called a type I error, whereas not rejecting a false null hypothesis is called a u type II error.
A type I error occurs when a null hypothesis that is true in the population is rejected. A false positive is an example of this type of error. A type II error occurs if a null hypothesis that is actually false in the population is not rejected. This type of error is known as a false negative.A type II error differs from a type I error in that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The likelihood of making a type I error is equal to the level of significance set for the hypothesis test.
Thus, for the given question, option. b is the correct answer for the blanks in the question.
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Write a proof sequence for each of the following assertions. Justify each step.p→¬qr → (p ∧ q) }⇒ ¬r
To prove the assertion (p→¬q), (r → (p ∧ q)) ⇒ ¬r using a proof sequence. Here's the step-by-step justification:
1. (p→¬q) - Given as a premise
2. (r → (p ∧ q)) - Given as a premise
3. Assume r - Assumption for a proof by contradiction
4. (p ∧ q) - From 2 and 3, using Modus Ponens
5. p - From 4, using the Simplification rule (Conjunction elimination)
6. ¬q - From 1 and 5, using Modus Ponens
7. q - From 4, using the Simplification rule (Conjunction elimination)
8. (¬q ∧ q) - From 6 and 7, using the Conjunction Introduction rule
9. ¬r - From 3 and 8, using a proof by contradiction (Reductio ad absurdum)
The proof sequence shows that, given the premises (p→¬q) and (r → (p ∧ q)), the assertion ¬r can be proven.
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What graph is best for comparing change over time?
Bar graph is best for comparing change over time.
What is a Bar Graph ?Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.
The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph. Bar charts are another name for them. One tool used in statistics for processing data is the bar graph.
Bar graph components
Title: The graph's topic is covered in the title.Scale: The numbers that represent the units used in the bar graph's scale.Labels: The bottom and side of the bar graph each include a label indicating the type of data displayed.The data number is measured by the bar.To learn more about Bar Graph refer to :
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When comparing data between groups or monitoring changes over time, bar graphs are utilized.
What is a bar graph?A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for. You can plot the bars either vertically or horizontally. A vertical bar chart may also be referred to as a column chart.Comparing different discrete categories is displayed in a bar graph. The chart's other axis depicts a measured value, while the first axis displays the specific categories under comparison. Some bar graphs show clusters of more than one bars, displaying the values of multiple measured variables.Bar charts have clear categories within their domain and are often scaled to accommodate all the data. Bars on the chart may be placed in any order if there is no obvious hierarchy among the categories being compared. Pareto charts are bar graphs that display incidence in order from highest to lowest.Hence, When comparing data between groups or monitoring changes over time, bar graphs are utilized.
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The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 62 kilobits per second and a standard deviation of four kilobits per second.
(a) What is the probability that the file will transfer at a speed of 70 kilobits per second or more? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that the file will transfer at a speed of less than 58 kilobits per second? Round your answer to two decimal places (e.g. 98.76). Enter your answer in accordance to the item b) of the question statement
(c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte) Round your answer to two decimal places (e.g. 98.76).
Mean = 62 kilobits per second
Standard deviation = 4 kilobits per second
We use the Z-score formula to solve the given question, where Z = (x-μ)/σ where x = random variable, μ = Mean, σ = Standard deviation We use the Z-score table which is available in the statistics book to find the probability that corresponds to the Z-score.
(a) Find the probability that the file will transfer at a speed of 70 kilobits per second or more?
The probability that the file will transfer at a speed of 70 kilobits per second or more is 0.023.
The probability that the file will transfer at a speed of 70 kilobits per second or more? Z-score formula Z = (x-μ)/σZ = (70-62)/4Z = 2P (Z > 2) = 1- P(Z < 2) = 1- 0.9772 = 0.0228
So, the probability that the file will transfer at a speed of 70 kilobits per second or more is 0.023. (Round to 3 decimal places)
(b) Find Probability that the file will transfer at a speed of less than 58 kilobits per second?
The probability that the file will transfer at a speed of less than 58 kilobits per second is 0.16.
Probability that the file will transfer at a speed of less than 58 kilobits per second: Z-score formula Z = (x-μ)/σZ = (58-62)/4Z = -1P (Z < -1) = 0.1587So, Probability that the file will transfer at a speed of less than 58 kilobits per second is 0.16. (Round to 2 decimal places)
(c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file?
The time it will take to transfer one megabyte of file is 0.13 seconds.
Time (in seconds) it will take to transfer one megabyte of file at 8 bits per byte. One megabyte = 8 Megabits (1 byte = 8 bits) Mean = 62 kilobits per second. So, 1 Megabit will take (1/62) seconds, similarly 8 Megabits will take 8*(1/62) = 0.129 seconds. So, the time it will take to transfer one megabyte of the file is 0.13 seconds. (Round to 2 decimal places)
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how many separate samples (groups) would be needed for a two-factor, independent-measures research study with 2 levels of factor a and 3 levels of factor b?
For a two-factor independent-measures research study with 2 levels of factor A and 3 levels of factor B, a total of 6 separate samples or groups would be needed.
In a two-factor independent-measures research study, each combination of levels of the two factors (A and B) constitutes a separate condition or treatment group. In this case, there are 2 levels of factor A and 3 levels of factor B, resulting in 2 x 3 = 6 possible combinations of levels.
To obtain valid and independent measurements, each combination or condition should be represented by a separate sample or group. This means that for each combination of levels of factors A and B, we would need a distinct group of participants or subjects. Therefore, a total of 6 separate samples or groups would be needed to conduct the study.
Having separate samples for each combination of factor levels allows for the comparison of the effects of each factor independently as well as their interaction. By varying the levels of both factors and observing the responses in each group, researchers can assess the main effects of each factor and investigate any potential interaction effects between the two factors.
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what are some applications of this measuring technique? could this measuring system be used to measure surfaces that are not flat?
Boyle's law, which relates the pressure and volume of an ideal gas, has various applications in science, engineering, and everyday life. Some of the applications of this measuring technique include:
Gas storage: Boyle's law is used in designing and managing gas storage systems, such as gas cylinders and tanks. It helps in determining the volume of gas that can be stored at a given pressure and vice versa.
HVAC systems: Heating, ventilation, and air conditioning (HVAC) systems use Boyle's law to control the pressure and volume of gases in order to regulate temperature and air flow.
Scuba diving: Boyle's law is applied in scuba diving to calculate the changes in volume of gases in diving cylinders at different depths, which affects the diver's breathing and decompression requirements.
Medical applications: In respiratory therapy, Boyle's law is utilized in devices like ventilators, which deliver oxygen or other gases to patients at specific pressures and volumes.
Industrial processes: Boyle's law is used in industrial processes where gases are compressed or expanded, such as in manufacturing, chemical processing, and power generation.
As for measuring surfaces that are not flat, Boyle's law is not directly applicable for such measurements. It is a gas law that relates the pressure and volume of a gas, assuming the gas behaves as an ideal gas.
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joe rolls a six-sided number cube and flips a coin. What is the probability that he rolls an odd number and flips a head on the coin? Help ASAP please!
A. 1/6
B. 1/4
C. 1/2
D. 2/3
E. 3/2
of the odd number it would be 3/6 in other words 1/2 Step-by-step explanation:
Answer:
c.1/2
Step-by-step explanation:
A study conducted by researchers from the Department of Education wanted to know the average debt of college students in the United States. In order to obtain a sample representative of all students, the researchers divided college students into the four classes (freshman, sophomore, junior, and senior) and then took a random sample of students from each class. Which sampling method did they use
The sampling method used by the researchers from the Department of Education in order to obtain a sample representative of all students is stratified random sampling.
A stratified random sample is a probability sampling method that involves dividing the population into non-overlapping groups, known as strata. The strata are formed based on some variable of interest that is thought to be related to the study's research question, such as age, gender, or geographic location. Within each stratum, a random sample is then selected. By using a stratified random sampling technique.
This method also provides greater precision and reduces the sampling error by taking into account the variability within each stratum separately .The use of stratified random sampling has ensured that the sample taken by the researchers from the Department of Education is more representative of all students. They divided college students into the four classes (freshman, sophomore, junior, and senior) and then took a random sample of students from each class. Hence, the sampling method used by the researchers is stratified random sampling.
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when comparing two sample means, we can safely reject the null hypothesis if ______.
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
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A standardized test has a mean of 50 and a standard deviation of 10. The scores are normally distributed. If the test is administered to 800 students, approximately how many will score between 48 and 62?
Rounding to the nearest whole number, we can estimate that approximately 308 students will score between 48 and 62.
To determine the number of students that are expected to score between 48 and 62, we first need to find the z-scores for these values using the formula:
z = (x - μ) / σ
where x is the score, μ is the mean, and σ is the standard deviation.
For x = 48:
z = (48 - 50) / 10 = -0.2
For x = 62:
z = (62 - 50) / 10 = 1.2
Using a standard normal distribution table, we can find the probability of a z-score between -0.2 and 1.2, which is 0.3849.
Finally, we can calculate the approximate number of students that will score between 48 and 62 by multiplying the probability by the total number of students:
Number of students = 0.3849 x 800 = 307.92
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There is 0.6 probability that a customer who enters a shop makes a purchase. If 10 customers are currently in the shop and all customers decide independently, what is the variance of the number of customers who will make a purchase?
Group of answer choices
10⋅0.6⋅(1−0.6)
0.62
0.6⋅(1−0.6)
The variance of the number of customers who will make a purchase is 2.4.
The variance of the number of customers who will make a purchase can be calculated using the formula:
Variance = n * p * (1 - p)
where n is the number of customers and p is the probability of a customer making a purchase.
In this case, n = 10 and p = 0.6. Substituting these values into the formula, we get:
Variance = 10 * 0.6 * (1 - 0.6)
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Therefore, the variance of the number of customers who will make a purchase is 2.4.
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Which statement is true about the given function?
f(x) > 0 over the interval (–infinity, 3).
f(x) > 0 over the interval (–infinity, infinity).
f(x) < 0 over the interval (–infinity, 3).
f(x) < 0 over the interval (–infinity, infinity).
Therefore , the solution of the given problem of function comes out to be Option (c) is correct f(x) < 0 over the interval (-∞ , 3) .
What does the term function mean?The study of numbers, their variations, math, as well as the study of the area anatomy, structures, and both their real and hypothetical places, is known as mathematics. A function describes the connection between a number of variables, every one of which has an associated result. A function is composed of an array of parts that, when combined, result in a different output for every input. Each task has a realm—a city, county, or other area—assigned to it.
Here,
From the image provided,
Watch the line for the range (-∞ , 3).
Function is located in the range of (—∞ , 3) below the x-axis.
Therefore, f(x) > 0
Option (a) is therefore false, while Option (c) is correct.
Look at the curve for the range(-∞ , ∞).
Functions f(x) > 0 and f(x)< 0 are defined for the intervals (-∞ , 3) .
Choice (b) and choice (d) are therefore untrue.
Therefore , the solution of the given problem of function comes out to be Option (c) is correct f(x) < 0 over the interval (-∞ , 3) .
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a carpenter and his assistant can do a piece of work in 3 days. if the carpenter himself could do the work alone in 5 days, how long would the assistant take to do the work alone?
The number of days spent or taken by assistant with work efficiency of 2 units per day to do the work alone is equals to the 7.5 days.
We have provide that there is a carpenter and his assistant can do a piece of work.
Number of days taken by both carpenter and his assistant to do a piece of work = 3 days.
Number of days taken by carpenter and to do the same piece of work alone = 5 days.
We have to determine number of taken by assistant and to do the same piece of work alone.
Let the required number of days that the assistant take to do the work alone be 'x days'. As we know, total available work units = LCM (3,5) = 15 units
Ability or efficiency of a person or man is calculated by dividing the total work units to the number of working days spent to do the work.
Now, Ability or efficiency of both carpenter and his assistant work together = 15/5
= 3 units/day
Similarly, Ability or efficiency of carpenter = 15/3
= 5 units/day
So, Ability or efficiency of assistant= 5 - 3 = 2 -(1)
Using efficiency formula, efficiency of assistant
= 15/x --(2)
from (1) and(2), 15/x = 2
=> 2x = 15
=> x = 7.5
Hence, required number of days are 7.5 days.
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I NEED HELP PLEASE, THANKS! :)
Answer:
Graph A
Step-by-step explanation:
You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!
Answer: A (the first graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's
A = (x, y) → A⁻¹ = (y, x)
I took three points from the graph (labeled A, B, C) and found their inverse.
A = (-7, 0) → A⁻¹ = (0, -7)
B = (0, 7) → B⁻¹ = (7, 0)
C = (9, 9) → C⁻¹ = (9, 9)
see graph below
This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $180,000.
Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.
This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.
The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.
It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.
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The box plot summarizes math text scores. What percent of the scored were between 71 and 96? Please hurry! I'm taking a test!
Answer:
i think 83 %
Step-by-step explanation: