Answers
because it is a negative line in the graph
Related Questions
Let A= -4 1 1 -16 3 4 -7 2 2 -11 1 3 1 4. (a) Find the characteristic polynomial of the matrix A. (b) Find the eigenvalues of the matrix A.
Answers
a. Characteristic polynomial of matrix A:The characteristic polynomial of a matrix is defined by det(A-λI) where det is the determinant of the matrix A-λI.The matrix A is given as:$$A = \begin{bmatrix}-4 & 1 & 1 \\ -16 & 3 & 4 \\ -7 & 2 & 2 \\ -11 & 1 & 3\end{bmatrix} $$Subtracting λI
The determinant of the matrix A - λI can be computed as follows:$$\begin{aligned}\begin{vmatrix}-4 - \lambda & 1 & 1 \\ -16 & 3 - \lambda & 4 \\ -7 & 2 & 2 - \lambda \\ -11 & 1 & 3\end{vmatrix} &= (-4 - \lambda)\begin
{vmatrix}3 - \lambda & 4 \\ 2 & 2 - \lambda\end{vmatrix} - \begin{vmatrix}1 & 1 \\ 2 & 2 - \lambda\end{vmatrix} + \begin{vmatrix}1 & 1 \\ & 2\end{vmatrix} \\ &= (-4 - \lambda)\{(3 - \lambda)(2 - \lambda) - 8\} - \{(2 - \lambda) - 2\} + \{(2 - \
lambda) - 2\} - 7\{(-16)(2 - \lambda) - (-28)\} + 11\{(-16)(2) - (-21)\} \\ &= -(1 + \lambda)(\lambda^{2} - \lambda - 14) \\ &= -(\lambda - 2)(\lambda + 7)(\lambda - 2) \end{aligned}$$The characteristic polynomial of A is, therefore, det(A - λI) = - (λ - 2)(λ + 7)(λ - 2) = - (λ - 2)²(λ + 7). b. Eigenvalues of matrix A:
polynomial which are:λ1 = -7 (of multiplicity 1) and λ2 = 2 (of multiplicity 2).
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a decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: , , , and . are these probability assignments valid? explain.
Answers
Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.
Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.
An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.
Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:
The probabilities assigned must be between 0 and 1. The sum of the probabilities assigned to all potential outcomes must be 1.In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.
Therefore, the given probability assignments are valid.
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What is the value of the expression below? 5+2(10 + 5)
Answers
Or if you’re multiplying it would be 15 x 7
what is the probability that a five-card poker hand does not contain the queen of hearts? (enter the value of probability in decimals. round the answer to one decimal place.)
Answers
The probability that a five-card poker hand does not contain the queen of hearts is approximately 0.84.
To calculate the probability, we need to determine the number of favorable outcomes (hands that do not contain the queen of hearts) and the total number of possible outcomes (all possible five-card hands).
Favorable outcomes: Since we want to exclude the queen of hearts, there are 51 remaining cards in the deck that can be chosen for each of the five positions in the hand. Thus, the number of favorable outcomes is given by:
Favorable outcomes = C(51,5)
where C(n, r) denotes the number of combinations of n items taken r at a time.
Total possible outcomes: The total number of possible five-card hands from a standard deck of 52 cards is given by:
Total possible outcomes = C(52,5)
Probability: The probability of not getting the queen of hearts in a five-card hand is the ratio of favorable outcomes to total possible outcomes:
Probability = Favorable outcomes / Total possible outcomes
Plugging in the values we calculated earlier, we get:
Probability = C(51,5) / C(52,5)
Evaluating this expression gives us the approximate probability of 0.8431.
Rounding this to one decimal place, we get the final answer: 0.8
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solve for θ:
sin(θ-70)=cos(θ)
pls help and explain step by step
thank you
Answers
Answer:
Use this rule : cosx = sin (90 - x)
sin( x -70) = sin (90 - x)
x-70 = 90 - x
2x = 160
x = 80
Kiran needs to pick out an outfit for a party. He has a blues shirt, Black shirt, and green shirt, and has tan shorts and white shorts, and purple socks, yellow socks, orange socks, and gray socks. If he wants to pick a shirt, a pair of shorts, and a pair of socks, how many different outfits can he make?
HELP
Answers
Answer: you could make 9 outfits.
Step-by-step explanation: 3 shirts 2 shorts 4 pairs of socks.
In how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together
Answers
In how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together?
To find the number of ways, in which 5 different novels, 3 different mathematics books, and 1 biology book can be arranged on a bookshelf if the mathematics books must be together and the novels must be together, we can use the concept of permutation formulae.
Permutation formulae is the formula used to find out the number of ways in which a set of things can be arranged or ordered without repetition of the arrangement. Here, the mathematics books must be together and the novels must be together. Therefore, we can group the mathematics books together as one book and the novels together as one book. That is, we have two groups, one of size 3 (mathematics books) and one of size 5 (novels).
Therefore, the problem now reduces to finding the number of ways in which two groups of books can be arranged on a shelf. This can be done by using the permutation formulae as follows:
First, we find the number of ways to arrange the two groups on the shelf, ignoring the order within the groups. There are two ways to arrange the two groups: either the mathematics books can come first or the novels can come first.
Second, we find the number of ways to arrange the mathematics books within their group. There are 3! = 6 ways to arrange the 3 mathematics books within their group.
Third, we find the number of ways to arrange the novels within their group. There are 5! = 120 ways to arrange the 5 novels within their group.
Therefore, the total number of ways to arrange the books is given by the product of the number of ways to arrange the two groups, the number of ways to arrange the mathematics books within their group, and the number of ways to arrange the novels within their group.
Thus, the number of ways to arrange the books is:2 x 6 x 120= 1440.
Answer: 1440 words
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The population of a swarm of killer bees multiplies
10 fold in 50 days. Determine the correct
expression to calculate the number of bees after t
days if the initial swarm had 1000 bees.
Answers
Answer:
The correct expression to calculate the number of bees after t days if the initial swarm had 1000 bees is \(P = 1000 *e^{0.2*t}\)
Step-by-step explanation:
Given -
The population of a swarm of killer bees increases by 10 times in 50 days
The rate of increase of population is \(r = \frac{10}{50} = 0.2\) per day
As we now the equation of population projection is
\(P= P_0 *e^{rt}\\\)
Where P0 = initial population
P is the population after time t
and r is the rate of increase of population
Substituting the given values in above equation, we get -
\(P = 1000 *e^{0.2*t}\)
(a) Malaysians are known to love their food, and have the habit of dining more than 3 times a day. To test this claim, a researcher collects data on a group of individuals in Penang to examine the number of times they actually dine in one day. The data (which can be treated as a continuous variable) is displayed below: Individual Frequency of dining in one day
1 3
2 3
3 4
4 7
5 8
6 7
7 6
8 4
9 4
10 3
11 3
12 3
13 5
14 2
15 5
Do the data support his claim? (Hint: Test the hypothesis that the average frequency of dining in a day is 3 . Show the details of the hypothesis testing procedure) (b) The mean lifetime of 200 laptops in a sample is 4,250 hours and their standard deviation is 150 hours. μ is the mean lifetime of all the laptops produced. Test the hypothesis that the sample comes from a population whose mean is 4,200 hours at 5% significance level? (c) Consider a random sample of 50 observations. The sample variance is 43.5. Construct a 99% confidence interval for σ^2
Answers
(a) The data does not support the claim that Malaysians dine more than 3 times a day on average.
(b) The sample does not provide enough evidence to support the hypothesis that the population mean is 4,200 hours.
(c) The 99% confidence interval for σ² is (31.889, 63.695).
Null Hypothesis (H0): The average frequency of dining in a day is 3. Alternative Hypothesis (Ha): The average frequency of dining in a day is not 3.Calculate the sample mean: Add up all the frequencies and divide by the total number of individuals. In this case, the sample mean is 4.6.Estimate the population standard deviation using the sample standard deviation. The sample standard deviation is approximately 2.16.Calculate the standard error of the mean (SEM): Divide the estimated population standard deviation by the square root of the sample size. The SEM is approximately 0.558.Conduct a t-test: Calculate the t-value by subtracting the hypothesized mean (3) from the sample mean and dividing it by the SEM. The calculated t-value is approximately 2.89.Determine the critical t-value at a 5% significance level. With 14 degrees of freedom, the critical t-value for a two-tailed test is approximately ±2.145.Compare the calculated t-value with the critical t-value. Since the calculated t-value (2.89) is greater than the critical t-value (2.145), we reject the null hypothesis.Based on the analysis, there is evidence to suggest that the average frequency of dining in a day is different from 3, and therefore the data does not support the claim that Malaysians dine more than 3 times a day on average.
Null Hypothesis (H0): The population mean is 4,200 hours. Alternative Hypothesis (Ha): The population mean is different from 4,200 hours.Given data: The sample mean is 4,250 hours, the sample standard deviation is 150 hours, and the sample size is 200.Calculate the standard error of the mean (SEM): Divide the sample standard deviation by the square root of the sample size. In this case, the SEM is approximately 10.606.Conduct a one-sample t-test: Calculate the t-value by subtracting the hypothesized mean (4,200 hours) from the sample mean and dividing it by the SEM. The calculated t-value is approximately 4.985.Determine the critical t-value at a 5% significance level. With 199 degrees of freedom, the critical t-value for a two-tailed test is approximately ±1.972.Compare the calculated t-value with the critical t-value. Since the calculated t-value (4.985) is greater than the critical t-value (1.972), we reject the null hypothesis.Based on the analysis, there is evidence to suggest that the sample comes from a population whose mean is different from 4,200 hours.
Given data: The sample variance is 43.5, and the sample size is 50.Calculate the chi-square critical values: Since we want a 99% confidence interval, the significance level is 1% or 0.01. With a sample size of 50, the degrees of freedom are 50 - 1 = 49. From the chi-square distribution table or calculator, find the chi-square critical values corresponding to the lower and upper tails of 0.005 (0.01/2) each. Let's assume the lower and upper critical values are L and U, respectively.Calculate the confidence interval for σ²: The confidence interval formula for σ² is (n - 1) * s² / U ≤ σ² ≤ (n - 1) * s² / L, where n is the sample size and s² is the sample variance. Substituting the given values, we get (49 * 43.5) / U ≤ σ² ≤ (49 * 43.5) / L.Plug in the chi-square critical values: Substitute the values of U and L obtained from the chi-square distribution table or calculator into the confidence interval formula. By substituting the chi-square critical values, the confidence interval for σ² is calculated as (49 * 43.5) / U ≤ σ² ≤ (49 * 43.5) / L, which simplifies to (31.889, 63.695) based on the values of U and L.Based on the analysis, the 99% confidence interval for σ² is (31.889, 63.695).
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Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Answers
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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a basket when empty weight 350g it contains 60 seeds each weigh 250mg what is the total mass of the baskets in seed in kilograms
Answers
Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.Divide the 250mg by 1000g to get 0.25g. Multiply 0.25g by 60 to get 15g.Add 15g to the weight of the empty basket, 350g. You should end up with 365g.The question asked for kilograms so divide 365g by 1000.The final answer is 0.365kg.I hope this explains it and helps :)
Answer:Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.
Divide the 250mg by 1000g to get 0.25g.
Multiply 0.25g by 60 to get 15g.
Add 15g to the weight of the empty basket, 350g. You should end up with 365g.
The question asked for kilograms so divide 365g by 1000.
The final answer is 0.365kg.
I hope this explains it and helps :)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
Does anyone know the area of this figure in square inches
Answers
The area is 120 \(cm^{2}\).
What is area?Area is the size of a two-dimensional surface, usually expressed in square units, such as square feet or square meters. It is the amount of two-dimensional space enclosed within a given set of boundaries. Area can be calculated for various shapes, including squares, rectangles, triangles, circles, and more complex shapes. Area is also a measure of the amount of space an object occupies. In mathematics, area is used to measure the size of a shape or region in a plane. It can also be used to calculate the size of a figure, such as the area of a triangle, or to measure the area of an enclosed space, such as a garden or a room.
Given:
AB = CD = 8cm
AD = BC = 12cm
EF = DH = 4cm
So, the required area is A = Area (ABCEFD) = Area (ABCD) + Area (CEFD)
Area of ABCD = Area (ABCD) = AB × BC
⇒ 12 × 8 = 96 \(cm^{2}\)
Area of CEFD = Area (CEFD) = 0.5 (CD + EF) × HD
⇒ 0.5 × (8 + 4) × 4 = 24\(cm^{2}\)
Now, the required area is
⇒ A = 96 \(cm^{2}\) + 24 \(cm^{2}\) = 120 \(cm^{2}\)
Hence, the required area of the figure is 120 \(cm^{2}\).
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If the CIRCUMFERENCE of a circle is 15.7, what is the AREA of the circle?
Answers
Answer:
the area of the circle is 19.615
FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables
Answers
Answer:
c
Step-by-step explanation:
PLEASE HELP ME QUICKLY
Answers
Answer:
I believe it’s 3:1:10
Step-by-step explanation:
because 15/5 = 3 making the ratio 3:1 and 50/5 is 10 making it 1:10
Violet left her house at time zero and drove to the store, which is 2 blocks away, at a speed of 1 block per minute. Then she stopped and went into the store for 5 minutes.
From there, she drove in the same direction at a speed of 2 blocks every 3 minutes until she got to the bank, which is 4 blocks away from the store. She stopped at the bank for 3 minutes. Then she drove home at a speed of 3 blocks every 4 minutes.
Make a graph of showing the number of blocks away from home that Violet is 2 minutes after she leaves her house, until she gets back home.
Answers
The figure is attached.
According to given question,
Violet is at home at the beginning of time (0 blocks away).
Violet is one block from her house (driving to the store) at time one minute.
Violet leaves the store and travels two blocks to get home at time two minutes.
Violet leaves the bank at seven minutes and is four blocks from her house.
Violet's distance from home can be plotted on the y-axis, and time can be plotted on the x-axis, to create the graph.
Now plot the figure accordingly.
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the starting salaries of individuals with a certain degree are normally distributed with a mean of $30,000 and a standard deviation of $2,500. what is the probability that a randomly selected individual with the degree will get a starting salary of at least $34,375?
Answers
The value we obtain from the table will be subtracted from 1 to obtain the probability that we are looking for.P(z < 1.75) = 0.9599 (from the standard normal distribution table)Therefore, P(z ≥ 1.75) = 1 - P(z < 1.75) = 1 - 0.9599 = 0.0401.The probability that a randomly selected individual with the degree will get a starting salary of at least $34,375 is 0.0401, or 4.01%.
We have been given that the starting salaries of individuals with a certain degree are normally distributed with a mean of $30,000 and a standard deviation of $2,500.We are required to determine the probability that a randomly selected individual with the degree will get a starting salary of at least $34,375.
We know that the Z-score formula is given as:$$z=\frac{x-\mu}{\sigma}$$Where:x = Value for which we need to find the probability.μ = Mean of the distribution.σ = Standard deviation of the distribution.Using this formula, we can find the Z-score for the given data as follows:$$z=\frac{x-\mu}{\sigma}$$$$\frac{34,375-30,000}{2,500}=1.75$$Now, we can use the normal distribution table to find the probability of a Z-score being less than or equal to 1.75.
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Rewrite in simplest terms: f - 3(2f - 2)
Answers
5f+6
maybe im not sure if its right
a) Complete the table of values for y = 3/x
b) which is true correct curve for y= 3/x?
A , B, or C??
Answers
Answer:
A is correct
Step-by-step explanation:
Expand.
Your answer should be a polynomial in standard form.
(x - 5)(x – 4) =
Answers
Answer:
\(x^2-9x+20\)
Step-by-step explanation:
Use the distributive property.
\((x-5)(x-4)\)
\(x^2-5x-4x+20\)
\(x^2-9x+20\)
This is already in standard form.
Hope this helps!
The figures above are examples of
Answers
Have a good day.
A grocery store employee counted how many cartons of each flavor of yogurt were sold yesterday.
blueberry 5
raspberry 5
lemon 8
What is the experimental probability that the next carton of yogurt sold will be lemon?
Write your answer as a fraction or whole number.
P(lemon)=
Answers
Answer:
4/9
Step-by-step explanation: The experimental probability is the number of times an event occurs out of the total number of trials.
50 ptssss
what is 2+2
Answers
Answer:
4!!!
Step-by-step explanation:
brainliest please?
Answer:
4
Step-by-step explanation:
I hope this helps!
In reality, forecasts are typically not accurate. As such, it is typically most appropriate to use the std. deviation of demand as the primary measure of uncertainty. True/False
Answers
False. While it is true that forecasts can be subject to uncertainties and may not always be entirely accurate, it is not necessarily most appropriate to use the standard deviation of demand as the primary measure of uncertainty.
The standard deviation represents the dispersion of data points around the mean, and it is commonly used to measure variability within a dataset. However, it may not capture all the sources of uncertainty in demand forecasting.
Forecasts consider various factors such as historical data, market trends, customer behavior, and external influences to estimate future demand. Although they may not be entirely precise, they provide valuable insights and help organizations make informed decisions regarding production, inventory management, and resource allocation.
In addition to the standard deviation, other measures of uncertainty, such as confidence intervals or prediction intervals, can be used to quantify the range of possible outcomes and the associated level of uncertainty. These measures provide a more comprehensive understanding of the potential variations in demand, considering the inherent uncertainties in forecasting.
In conclusion, while forecasts may not always be completely accurate, they provide useful guidance for decision-making. The standard deviation of demand alone may not adequately capture the full range of uncertainties, and it is important to consider other measures of uncertainty when assessing the reliability and potential variations in demand forecasts.
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If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
Answers
If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.
What is Single-loss expectancy (SLE)?A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.
Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.
IT professionals must consider a wide range of risks, including the following:
Errors caused by humansCyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.Errors in applicationSystem or network failuresPhysical harm caused by fire, natural disasters, or vandalism.To know more about the Single-loss expectancy (SLE), here
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if 2,000 styluses are available at the beginning of a week, and the price is rising at 12 cents per week, then supply is. Falling or Rising The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in thousands of units by 500p²x²: 1996, If 2,000 styluses are available at the beginning of a week, and the price is falling at 6 cents per week, then supply is - falling - rising at a rate of ____ styluses per week.
Answers
The supply of styluses is falling at a rate of 0.0144p² styluses per week.
To determine the exact rate of change in supply, we need to look at the equation provided: 500p²x² = 1996. We can rearrange this equation to solve for x, which represents the supply of styluses:
x² = (1996/500p²)
x = √(1996/500p²)
Now, we can differentiate this equation with respect to time to find the rate of change in supply:
dx/dt = (-1/2)(1996/500p²)(-1000p²/1996)*dp/dt
Simplifying this equation, we get:
dx/dt = (6/25)p²dp/dt
Using the information provided in each situation, we can plug in the appropriate values to find the rate of change in supply:
In the first situation, where the price is rising at 12 cents per week, dp/dt = 0.12. Plugging this into the equation above, we get:
dx/dt = (6/25)(p²)(0.12) = 0.0288p²
This means that the supply of styluses is rising at a rate of 0.0288p² styluses per week.
In the second situation, where the price is falling at 6 cents per week, dp/dt = -0.06. Plugging this into the equation above, we get:
dx/dt = (6/25)(p²)(-0.06) = -0.0144p²
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If x-5 3 = 2 then the value of x=
Answers
Answer:
X - 53=2
Or, x=2+53
Or, x=55
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
Answers
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1уX212.y. 2x
Answers
The line passes through the point (0,0) and point (1,2).
an engine is operating at 25%of it's full power. which number line shows that represents 25%?
Answers
25 % its equal to 1/4
in Option b 1 is divided into 8 equal parts.
2 is 1/4 of 8.
So, correct option is B.