When transforming the vector <7,4> from R2 to R3, the resulting matrices are T(v) = (7, 4, 3) using the standard matrix, and T(v) = (4, 0, -1) using the matrix relative to B and B'.
To find the transformation of vector <7,4> from R2 to R3 using the standard matrix and the matrix relative to B and B', use the following steps:
1. Determine the standard matrix,
T(v): T(v) = (7, 4, 3).
2. Determine the matrix relative to B and B', in terms of the standard basis:
T(v) = (4, 0, -1).
To summarize, the transformation of vector <7,4> from R2 to R3 using the standard matrix and the matrix relative to B and B' is T(v) = (7, 4, 3) (standard matrix) and T(v) = (4, 0, -1) (relative to B and B').
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Find the ratio of 900m to 9km.
Find Angle C. Please I need this rn for homework
Answer: I believe the answer here would be 52.5 degrees.
Step-by-step explanation: Because an isosceles triangle has two equal sides, their base angles would be the same. The angles of a triangle add up to 180 degrees, so you would subtract 75 from 180 and divide 105 by two in order to find one of the base angles.
value b
3(b + 4) + 5b = 44
11
4
2
9
Answer:
4
Step-by-step explanation:
\(3b+12+5b=44 \\ \\ 8b+12=44 \\ \\ 8b=32 \\ \\ b=4\)
3/5x+1/4t=-1/2 in standard form
Answer:
\(\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0\)
Step-by-step explanation:
Write in standard form.
The box-and-whisker plot below represents some data set. What percenta data values are less than 66?
Given:
The a box-and-whisker plot if a data set.
To find:
The percentage of data values that are less than 66.
Solution:
From the given box-and-whisker plot, it is clear that the number 66 is the highest value of the data set.
It means all the values of the data set are less than 66 and no value can be more than 66.
All value means 100%.
Therefore, 100% of data values are less than 66.
given a data set consisting of 33 unique whole number observations, its five-number summary is: [13,24,38,51,69] how many observations are strictly less than 24? a) 7 b) 9 c) 23 d) 8
The number of observations strictly less than 24 is 7.
The five-number summary consists of the minimum value (13), the first quartile (Q1) or 25th percentile (24), the median or second quartile (Q2) or 50th percentile (38), the third quartile (Q3) or 75th percentile (51), and the maximum value (69).
Since Q1 represents the value below which 25% of the observations lie, and the five-number summary indicates that Q1 is 24, it means that 25% of the observations are less than or equal to 24.
Therefore, the number of observations strictly less than 24 is 25% of 33, which equals 7.
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Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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round 2.844 correct ton1 decimal place
Answer:
2.8
Step-by-step explanation:
You need to keep these: 2.8
You will need to look at the second decimal: 2.844
Since it is under 5, you don’t need to increase 8 any further. If it was 5 or greater, you would have to change the 8 up to a 9.
I hope that helps!
What is x if cos(15%) = x/5?
A. cos(15%)/5
B. cos(75°)
C. 5cos(15%)
D. cos(3⁰)
which do you press while dragging to maintain the height and width proportion of a shape?
To maintain the height and width proportion of a shape while dragging, you would typically hold down the Shift key on your keyboard.
When you select and drag a shape, holding down the Shift key constrains the proportions of the shape and ensures that the height and width change proportionally.
This technique is commonly used in graphic design and image editing software, as well as in various drawing and design applications. By holding down the Shift key while dragging a shape, you can prevent it from being distorted or skewed, preserving its original aspect ratio.
This feature is especially useful when you want to maintain the shape's original proportions or when you need consistency in the size and dimensions of multiple shapes. It helps ensure that the height and width remain in the same ratio as the original shape, regardless of how you adjust its size.
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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During one month there were 7 days of precipitation. what if there had only been 3 days of precipitation that month? how would that change the measures of center? if necessary, round your answers to the nearest tenth.
The Mean will decrease while the Median and the Mode will remain with the same amount.
For Central Measures, we have Median, Mode and Mean. They try to describe the whole distribution by one value, in the center of it.
For this question, let's pick some examples from the Old Faithful, WY Station to the National Oceanic and Atmospheric Administration from 2015, January
1st Case Scenario:
For 7 days of precipitation, (Snow, ice pellets, etc. rain) in inches:
19 19 19 24 23 23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Mean = 5
Median=0 (the sum of the 15th+16th position over 2)
Mode=0 (Most common observations)
2nd Case Scenario
For 3 days of precipitation, (Snow, ice pellets, etc. rain) in inches:
0 0 0 24 0 0 23 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Mean = 2.2
Median =0
Mode=0
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7(2x + 8) = 84 What could be the reason for the first step in solving this equality ?
Answer:
first you must multiply the 7 by what is inside the parentheses:
14x + 56 = 84
if alicia had been able to achieve the same percentage of visitors for the entire week as she does on monday, how many additional people would then visit cool beans?
Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.
Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060
Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined
Visits to Cool Beans should be 2,060
Current Visits =548
Additional visits =2,060-548 i.e. 1,512 visits
Note for better understanding:
same or the demand of coffee will remain same, then the Additional people will be calculated as:
Total number of visits = 584+840+1,220 i.e. 2,608
Target number of visits =50 % of total visits i.e. 1,304 visit
Additional visits = 1,304-548 = 756 visits
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Create a function table of the function y=−2x−3 for the values listed
All the values of y are calculated, the function table is complete. In this case, the final table looks like this
| x | -2x | -2x-3 | y |
| -2 | 4 | 1 | -3 |
| -1 | 2 | -1 | -5 |
| 0 | 0 | -3 | -3 |
| 1 | -2 | -5 | -7 |
| 2 | -4 | -7 | -9 |
The function y=-2x-3 is a linear equation. This means that the graph of the equation is a line with a constant slope. The slope of this line is -2 and the y-intercept is -3. The table above shows the output of the function for different values of x. To calculate the value of y for a given x, the first step is to calculate -2x. Then subtract 3 from the result to get the value of y. For example, for x=-2, -2*(-2)=-4 and -4-3=-3, so y=-3. For x=1, -2*(1)=-2 and -2-3=-5, so y=-5. In this way, the output of the function can be calculated for any given value of x.
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The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
Answer:
Blue
Step-by-step explanation:
I just got this question correct
Answer:
Blue
Step-by-step explanation:
the probability that a student pilot passes the written test for a private pilot’s license is 0.7. find the probability that a student will pass the test before the third try
The probability that a student will pass the test before the third try is 0.91 or 91%.
The probability that a student pilot passes the written test for a private pilot’s license is 0.7.
To find the probability that a student will pass the test before the third try, we can use the geometric distribution.
The Geometric Distribution is a discrete probability distribution that describes the number of failures before a success in a sequence of independent and identical Bernoulli trials. It is one of the essential examples of distributions in probability theory and statistics
Let P be the probability that a student pilot passes the written test for a private pilot’s license.
Then the probability that a student will fail the test on the first two tries is given by:
P(failure) = (1 - P)² [i.e., the probability of not passing the test]
Then the probability that the student will pass the test before the third try is the complement of the above probability, which is given by:
P(pass before 3rd try) = 1 - (1 - P)²
Let P = 0.7.
Then the probability that a student will pass the test before the third try is:
P(pass before 3rd try) = 1 - (1 - 0.7)²
P(pass before 3rd try) = 1 - 0.09 = 0.91
Therefore, the probability that a student will pass the test before the third try is 0.91 or 91%.
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to calculate the average of the numeric values in a list, the first step is to get the total of values in the list.
True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.
Steps to calculate the Average:
Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.
To find the average we first have to take the total of all values.
2+8+22+48=80.
Our next step will be to divide this total by the number we have in our question i.e., 4.
so, our average will be 80/4= 20.
So, 20 will be our average.
So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.
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Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate
Answer:
11000 JY.
Step-by-step explanation:
According to today's exchange rate
1 US dollar = 110 JY
100 US dollars = 100 * 110 JY
You should get 11000 JY.
Pick the answer that is closest to this exchange rate.
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
The ratio of the perimeter of square ABCD to the perimeter of square EFGH is 4/9.
Find the side lengths of each square.
Explain your reasoning for full credit.
no follow and no amharic
The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this
Answer:
SR = 22 cm
Step-by-step explanation:
area = bh/2
(21 cm)(h)/2 = 231 cm^2
21h = 462 cm
h = 22 cm
SR = 22 cm
Marcus is equally splitting 3 sticks of butter between 4 recipes, Write a
fraction that represents the amount of butter in each recipe,
Marchs will use of a stick of butter in each recipe,
Marcus has 3 sticks of butter which he plans to equally split between 4 recipes. The fraction that represents the amount of butter in each recipe is obtained as follows:Firstly, we find the total amount of butter. 3 sticks of butter mean 3/1 sticks of butter.3/1 sticks of butter is equal to 12/4 sticks of butter.
(by multiplying both the numerator and denominator by 4)Thus, there are 12/4 sticks of butter to split between the 4 recipes. To find the amount of butter in each recipe, we divide the total amount of butter by the number of recipes. Amount of butter in each recipe = Total amount of butter / Number of recipes= (12/4) / 4= 12/4 × 1/4= 3/4Therefore, Marcus will use 3/4 of a stick of butter in each recipe.We have used 99 words in answering this question.
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.Study 1: National Cancer Institute, Harvard University and other institutions
The researchers collected data about people's exercise habits from 661,000 adults, predominantly middle-aged, from six large ongoing health surveys. They segmented this data using weekly exercise time as a parameter. The ranges varied from no exercise to almost 10 times the current recommendations (moderate exercise for 25 hours per week or more). Then, 14 years' worth of death records for the group were compared to the exercise records. The effort yielded the following major results:
The group with no exercise times were at the highest risk of early death.
Minimal exercise less than the recommended level was still able to mitigate the risk of premature death by 20%.
The group who followed the generally prescribed guideline of 150 min/week of moderate exercise had reduced probabilities of early death by 31%.
The optimum level of health benefits were yielded in people who exercised thrice the recommended levels and had lowered their risk of premature death by 39%.
Any further increase in exercise yielded insignificant incremental benefits with regards to mortality risk. However, the exercise also did not adversely affect their mortality risk.
Study 2: James Cook University in Cairns
Their methodology was similar to the other study. The researchers collected health survey data for more than 200,000 Australian adults, followed by comparison with corresponding death statistics. However, the stratification in their case was taken another level forward in that they further segmented the sample data regarding exercise times into various stress levels of the exercise varying from normal to vigorous.
The results, unsurprisingly, were similar in nature with a few additional insights:
Meeting the generally recommended exercise guidelines substantially reduced the risk of early death, even with moderate exercise such as walking.
Occasional vigorous exercise did not yield any significant reduction in mortality; however, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, although these two studies may not put an end to the debate about the right "dosage" of exercise for a healthy life; it can be said that 150 minutes of vigorous exercise per week seems to be effective in reducing mortality risks.
The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.
The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.
The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.
However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.
The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.
However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
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Write the algebraic expression of “the sum of a multiple of 3 and the number one greater than multiple of 3”
Answer:
9 IS THE ANSWER
Step-by-step explanation:
3*3=9
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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Write an equivalent expression -3.3 w - (x + 3)
Answer:
l hope this halp
Step-by-step explanation:
Which expression represents the total
volume of the two storage spaces?
The total volume of the storage space is given by the last option:
s³ + 12 ft³
How to express the total volume?Remember that the volume of a cube of side length S, is:
V = S³
Here we have two cubes, so we need to find two volumes.
The first one has side length s, so its volume is:
V = s³
The second one has a volume of 12 ft³, the total volumeof the storage space is just the sum of the two volumes above, we will get.
s³ + 12 ft³
That is the correct option.
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Rewrite 2/5 : 1/20
as a unit rate.
A. 8:1
B. 40:5
C. 5:40
D. 40:1
Answer:
A - 8:1
Step-by-step explanation:
2/5:1/20
cross multiply
40:5
8:1
Answer:
8:1
Step-by-step explanation:
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer