Answer:
1/2
Step-by-step explanation:
the equation of a function/line is y=mx+b where
b is the y intercept
x is the slope
y=x/2+5 is the same as y=1/2x+5
solve for t
(pls help me im struggling)
Step-by-step explanation:
Solve for what?.......
A scale model of a building has a height of 1/5 meter. The scale of the model is 1cm=0.5m. What is the height of the building?
Answer:
2000 meters
Step-by-step explanation:
first you have to convert the meters into centimeters so then 1cm=100 cm
1/5 meter=20 cm
20*100=2000
2000 centimeters or 20 meters
hope this helps
brainliest?
3 less than the product of a number g and 49?
Answer:
The equation for this is:
n(g) + 49 - 3
Step-by-step explanation:
The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:
n(g) + 49 - 3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
49g -3
Step-by-step explanation:
3 less than the product of a number g and 49
Writing an algebraic expression
less than means it comes after
the product of a number g and 49
49g
3 less than
49g -3
Subject: Engineering Data Analysis please answer the following questions thanks.ASAP I.MULTIPLE CHOICE.Encircle the correct answer.If the answer is not found on the choices, write N. No need to show solution. 1.A sample of 10 students is obtained. The students are weighed and ranked according to their weight. The median weight is the a. weight of the fifth student b. weight of the sixth student c. the median does not exist d. average weight of the fifth and sixth 2. Which of the following is not a property of the mean? a. at least the interval scale of measurement is required b. all the data values are used in the calculation c. A set of data has only one mean; that is, it is unique d. The sum of the deviations from the mean equals 0. 3. The calories per serving of 11 fruit juices are shown in the following table. Find the mean, median and mode. 150,110,100,35,60,130,40,140,120,160,110 a.105,110,110 b.110,105,110 C.110,110,105 d. 101,105,110 4. Which of the following statements about measures of variability must always be true if the standard deviation is larger than 1? a. The standard deviation is larger than the range. b. The standard deviation is larger than the variance. C. The range is larger than the variance. d. The variance is larger than the standard deviation. e. The standard deviation is larger than the mean. 5. The median is larger than the arithmetic mean when a. the distribution is positively skewed. b.The distribution is negatively skewed. c. The data are organized into a frequency distribution. d. Raw data are used. 6.The standard deviation of a frequency distribution is 10, the mean is 250, the median is 250 and the mode is also 250. The coefficient of skewness is a.Zero b. positive IFSU-LAG-INS-F012 Rev.00(Jan.03,2022) c. negative d.cannot be determined 7.List out the event A that is an even number from a sample space of integers from 0 to 30 divisible by 3 a. S = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30} b. S = {2,4,8,10,14,16,20,22,26,28} c.S= {0,6,12,18,24,30} d.S = {6,12,18,24,30} 8. The set or collection of all possible outcomes of an experiment a.sample space b.event c.element d. sample point 9. When two dice are rolled, the sample space consists of how many events? a.6 b.12 c.36 d.54 10.If the occurrence of one event does not affect the occurrence of another event, the two events are a. mutually exclusive b.independent c.alwavs eaual d.conditional
The median weight is the weight of the sixth student.The coefficient of skewness is zero
The median is the middle value in a set of data when arranged in ascending or descending order. Since there are 10 students, the middle value would be the weight of the 5th and 6th students when the weights are ranked. The 5th student's weight corresponds to the weight just before the median, and the 6th student's weight corresponds to the median itself.
The mean is calculated by summing up all the data values and dividing by the total number of values. It takes into account every data point in the dataset, making use of all available information. This property distinguishes the mean from other measures of central tendency, such as the median or mode, which may not incorporate every data value. The mean is 110, the median is 110, and the mode is 110.
To find the mean, we sum up all the values and divide by the total count: (150 + 110 + 100 + 35 + 60 + 130 + 40 + 140 + 120 + 160 + 110) / 11 = 110. For the median, we arrange the values in ascending order and find the middle value, which is also 110. The mode is the value that appears most frequently, and in this case, it is 110 as well. The standard deviation is larger than the range.
The range is the difference between the largest and smallest values in a dataset. The standard deviation measures the spread or dispersion of the data points around the mean. While the standard deviation can be larger or smaller than the variance (the square of the standard deviation),
Skewness refers to the asymmetry of a distribution. When a distribution is positively skewed, the tail on the right side of the distribution is longer, and the median will be larger than the arithmetic mean.
The coefficient of skewness measures the degree of asymmetry in a distribution. A coefficient of zero indicates that the distribution is perfectly symmetrical, with the same shape on both sides. In this case, since the mean, median, and mode are all equal (250), the distribution is symmetric, resulting in a skewness coefficient of zero.
To determine the event A, we need to identify the even numbers from the sample space of integers divisible by 3 (0, 3, 6, 9, 12, ...). Among these numbers, only 6, 12, 18, 24, and 30 are even. Thus, the event A is composed of these values.
The set or collection of all possible outcomes of an experiment is called the sample space.
The sample space represents the entire range of possible outcomes in an experiment. It includes every possible outcome or result that can occur, encompassing all relevant elements. The sample space is a fundamental concept in probability theory and provides the basis for analyzing and calculating probabilities.
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Let (a, b) and (c,d) be two points of the circles Ca and Ch. The circle Ca is centered at the origin and passes through P (16, 16), while the circle Cb is centered at P and passes through the origin. Find a + b + c + d.
The value of a + b + c + d = 48 if circle Ca is centered at the origin and passes through P (16, 16), while the circle Cb is centered at P and passes through the origin.
Since circle Ca is centered at the origin and passes through (16,16), its equation is x^2 + y^2 = 16^2.
Since circle Cb is centered at (16,16) and passes through the origin, its equation is (x-16)^2 + (y-16)^2 = 16^2.
Let (a,b) and (c,d) be points on Ca and Cb, respectively. Then we have
a^2 + b^2 = 16^2 (from circle Ca)
(c-16)^2 + (d-16)^2 = 16^2 (from circle Cb)
We can solve for c and d in terms of a and b by adding and subtracting the two equations
c = (a^2 + b^2 + 16^2)/32
d = (a^2 + b^2 - 16^2)/32 + 16
Thus, a + b + c + d = a + b + (a^2 + b^2 + 16^2)/32 + (a^2 + b^2 - 16^2)/32 + 16
Simplifying, we get
a + b + c + d = (2a^2 + 2b^2)/32 + 16
Since a^2 + b^2 = 16^2, we have
a + b + c + d = (16^2)/16 + 16 = 32 + 16 = 48
Therefore, a + b + c + d = 48.
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A triangular prism is shown below. Which answer best describes
the lateral surface area of the prism?
HELP PLSS
Answer:c
Step-by-step explanation:
How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions
Answer:Exactly one solution.
Step-by-step explanation:
- 32 +9 – 2x = -12 – 5x
1.Add numbers
-23 - 2x= -12-5x
2.Rearrange terms
-2x - 23 = -12 - 5x
3. Rearrange terms
-2x - 23 = -5x-12
4. Add 23 to both sides of the equation
-2x-23+23= -5x-12+23
5.Simplify
-2x= -5x+11
6.Add 5x to both sides of the equation
-2x+5x=-5x+11+5x
7.Simplify
3x=11
8.Divide both sides of the equation by the same factor
\(\frac{3x}{3}\) = \(\frac{11}{3}\)
9.Simplify and Solution
x= \(\frac{11}{3}\)
f instead you guess that each waiting time will be the same as the previous waiting time, how many minutes would your guess differ from the actual time, averaging over every wait time except the first one?
The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately 5.5 minutes.
1. Calculate the difference between each wait time and the previous wait time:
Wait Time 1 - 0 = 0
Wait Time 2 - Wait Time 1 = 8.2 minutes
Wait Time 3 - Wait Time 2 = 4.3 minutes
Wait Time 4 - Wait Time 3 = 5.1 minutes
Wait Time 5 - Wait Time 4 = 6.5 minutes
2. Calculate the average of the differences:
Average Difference = (8.2 + 4.3 + 5.1 + 6.5) / 4 = 5.5 minutes
The average difference between the actual wait time and the guess of the same wait time as the previous one is approximately 4.5 minutes. This means that, on average, if you guess that each wait time will be the same as the previous wait time, it will be 4.5 minutes off from the actual wait time. To calculate this, we compared each wait time, except for the first one, to the previous wait time, and then calculated the average difference between the two. We found that the average difference was 5.5 minutes. This suggests that, if you guess that the wait time will be the same as the previous one, you can expect to be, on average, 5.5 minutes off from the actual time.
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The complete question is
f instead you guess that each waiting time will be the same as the previous waiting time, how many minutes would your guess differ from the actual time, averaging over every wait time except the first one an find average minutes?
PLS HELP QUICKLY
Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³
Answer: B
\(f(x) = 7x-2\) and \(g(x) = \frac{x+2}{7}\)
How to solve:
check if the composite functions of f(x) and g(x) are equal to x (this means they are inverses)
f[g(x)] = x
g[f(x)] = x
Step-by-step explanation:
Checking A.
\(f(x) = \frac{5}{x} -2\)
\(g(x) = \frac{x+2}{5}\)
\(f(g(x)) = f(\frac{x+2}{5} ) = \frac{5}{\frac{x+2}{5} } -2\)
This does not equal x, so we know these are not inverses
Checking B.
\(f(x) = 7x-2\)
\(g(x) = \frac{x+2}{7}\)
\(f(g(x)) = f(\frac{x+2}{7} ) = 7(\frac{x+2}{7}) - 2 = x+2-2 = x\)
\(g(f(x)) = g(7x-2) = \frac{7x-2 + 2}{7} = \frac{7x}{7} = x\)
since both f(g(x)) = x and g(f(x)) = x, we can determine that they are inverses of each other.
From 70.8 minutes to 90 minutes.
70.8 mins - 90 mins = 19.2 minutes
Round this number to the nearest tenth.
9.87
10. 87 is higher than 44 automatically making us round up
Charlie invests £1200 at 3.5% per annum compound interest.
Work out the value of Charlie's investment after 3 years.
Answer:
£1,330.46Step-by-step explanation:
Using the compound interest formula \(A = P(1+\frac{r}{n} )^{nt}\)
A = amount compounded after n years
P = principal (amount invested)
r = rate (in %)
t = time (in years)
n = time used to compound the money
Given P = £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)
\(A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46\)
Value of Charlie's investment after 3 years is £1,330.46
the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and this rate continues, find the number of employees in 9 year
Step-by-step explanation:
Number of employees in 9 years
= 870 * (1 - 0.02)⁹
= 870 * (0.98)⁹
≈ 725 employees.
Sonia is older than her brother Eddie.The sums of their ages is 38.The differences is 14
Answer:
Sonia is 26
Eddie is 12
Step-by-step explanation:
A garden table and a bench cost $659 combined. The garden costs $91 less than the bench. What is the cost of the bench?
which of the following best describes p(x < c) as it relates to the cumulative distribution function (cdf), f(x)? answer, it is the value of f(x) at c. answer, it is the total area under f(x). answer, it is the area under f(x) at c. incorrect answer: it is the area under f(x) to the left of c. selected answer - incorrect answer, it is the area under f(x) to the right of c.
p(x < c) is best described as the area under the cumulative distribution function (cdf), f(x), to the left of c.
What does p(x < c) represent in relation to the cumulative distribution function (cdf), f(x)?In probability theory, the cumulative distribution function (cdf) is a function that provides the probability of a random variable taking on a value less than or equal to a given value. In this case, p(x < c) represents the probability that the random variable x is less than the value c. To find this probability, we look at the area under the cdf, f(x), to the left of c.
The cdf, f(x), is defined as the integral of the probability density function (pdf) of the random variable. The pdf gives the relative likelihood of the random variable taking on a specific value. By integrating the pdf from negative infinity to c, we obtain the area under the curve of the pdf up to the value c, which corresponds to the probability p(x < c).
Therefore, p(x < c) can be interpreted as the area under the cumulative distribution function, f(x), to the left of the value c. It represents the probability that the random variable x is less than c.
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list 3 ordered pairs that make a horizontal line and their slope
Answer:
ordered pairs: (3,0) (6,0) (9,0)
slope : 0
Step-by-step explanation:
Hey There!
So if you graph a line that has a horizontal line then the slope is going to be 0
If you look at the graph i put an example with three points
Answer:
Answer
5.0/5
Step-by-step explanation:
Show that each of the following families is not complete by finding at least one nonzero function U(X) such that E[U(X)] = 0 for all e > 0. i) fo(x) = 2, where -8 < x < 0 and 0 € R+. ii) N(0,0), where 0 € R+.
a) U(X) is a nonzero function that satisfies E[U(X)] = 0, which shows that the family fo(x) = 2 is not complete.
b) U(X) is a nonzero function that satisfies E[U(X)] = 0, which shows that the family N(0,0) is not complete.
What is a nonzero function?A nonzero function is a mathematical function that takes at least one value different from zero within its domain. In other words, there exists at least one input value for which the output value is not equal to zero.
According to the given informationi) To show that the family fo(x) = 2 is not complete, we need to find a nonzero function U(X) such that E[U(X)] = 0 for all e > 0. Let U(X) be defined as:
U(X) = { -1 if -4 < X < 0
1 if 0 < X < 4
0 otherwise
Then, we have:
E[U(X)] = ∫fo(x)U(x)dx = 2 ∫U(x)dx = 2 [∫(-4,0)-1dx + ∫(0,4)1dx] = 2(-4+4) = 0
Thus, U(X) is a nonzero function that satisfies E[U(X)] = 0, which shows that the family fo(x) = 2 is not complete.
ii) To show that the family N(0,0) is not complete, we need to find a nonzero function U(X) such that E[U(X)] = 0 for all e > 0. Let U(X) be defined as:
U(X) = X
Then, we have:
E[U(X)] = E[X] = ∫N(0,0)xdx = 0
Thus, U(X) is a nonzero function that satisfies E[U(X)] = 0, which shows that the family N(0,0) is not complete.
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If QS and TV are parallel lines and m<QRU=127, what is m<TUW? HELP ASAP
Based on the corresponding angles theorem, m<TUW = 127°.
What is the Corresponding Angles Theorem?If two angles on two parallel lines that are cut across by a transversal are corresponding to each other, the corresponding angles theorem states that they are congruent to each other.
Given:
m<QRU = 127
Angles QRU and TUW are corresponding angles. Therefore:
m<TUW = m<QRU = 127° [corresponding angles theorem]
m<TUW = 127°
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Suppose that you randomly selected 20 adults. Assume 19% of the population smoke. Round all answers to 2 decimal places. a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 20 adults? b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 20 adults? c) Would it be unusual to randomly select 20 adults and get 13 smokers?
A. Yes, since 13 is not between the maximum and minimum usual values. B. No, since 13 is between the maximum and minimum usual values.
Using the Range Rule of Thumb, the minimum number of usual smokers we can expect to get out of 20 adults is approximately 0.24. This estimation is based on a mean of 3.8 smokers out of 20 adults and assuming a standard deviation of 1.78.
Using the Range Rule of Thumb, the minimum number of usual smokers we can expect to get out of 20 adults can be estimated by:
Minimum = Mean - (Range Rule of Thumb * Standard Deviation)
Given that 19% of the population smoke, the mean number of smokers out of 20 adults would be:
Mean = 20 * 0.19 = 3.8
To calculate the standard deviation, we need to consider the binomial distribution since it involves a binary outcome (smoker or non-smoker) with a known probability (19%). The standard deviation for a binomial distribution is given by the formula:
Standard Deviation = √(n * p * (1 - p))
Substituting the values, we get:
Standard Deviation = √(20 * 0.19 * 0.81) ≈ 1.78
Now, using the Range Rule of Thumb (approximately ±2 standard deviations), we can calculate the minimum number of smokers:
Minimum = 3.8 - (2 * 1.78) ≈ 3.8 - 3.56 ≈ 0.24
Rounding to 2 decimal places, the minimum number of usual smokers we can expect is approximately 0.24.
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I've been stuck on this for so long
Answer:
Step-by-step explanation:
x= 40
Find the unknown side length x.
Answer:
x = \(\sqrt{65}\)
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
\(4^{2}\) + \(7^{2}\) = \(x^{2}\)
16 + 49 = \(x^{2}\)
65 = \(x^{2}\)
x = sq rt 65
PLEASE HELP ME WITH THIS PROBLEM
Answer: MP is 29 units
Step-by-step explanation:
MP=MN+NP
5y+9=17+3y
5y+9-3y=17+3y-3y
2y+9=17
2y+9-9=17-9
2y=8
Divide both parts of the equation by 2:
y=4
Thus:
5*4+9=
20+9=
29 units
Determine if segment XY is tangent to circle Z.
Answer:
It is not.
Step-by-step explanation:
For XY to be a tangent XY must be perpendicular to radius at point of contact with circle (X).
Perpendicular also means 90° angle between XY and radius.
90° angle means XYZ should be a right angled triangle
Test for right angle triangle: pythagoras theorem.
3.6²+2.7²≠1.8²
Hence not right angled. XY not a tangent.
The Pythagoras theorem is not applicable thus it will not be tangent to the circle Z.
What is a tangent of a circle?The tangent of a circle is a line that intersects the circle at the periphery of the circle.
If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.
If XY is tangent to the circle then ∠YXZ = 90° so ΔXYZ will be a right angle triangle.
Apply Pythagoras' theorem,
1.8² ≠ 3.6² + 2.7²
Since it is not satisfied thus angle X will be not 90 degrees thus XY will not tangent to the circle Z.
Hence "Since the Pythagorean theorem does not apply, it will not be tangent to the circle Z".
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what is the distributive property of 6(2x + 5y).
Answer:
12x+30y
Step-by-step explanation:
6*2x+6*5y
12x+30y
Answer:
12x+30y
Step-by-step explanation:
6(2x+5y)
The distributive property is used if a number is in the form
\(a(b+c)\)
To solve this problem, you need to multiply b and c by a.
\(=ab+ac\)
Now, let's plug in your numbers.
a = 6
b = 2x
c = 5y
\(6(2x+5y)\\=(6)2x+(6)5y\\=12x+30y\)
Find the coordinates of the point that is 2/5 the way from point F to point A
Answer:
umm I really dont know but can u tell me how'd u put a pic up
i12 + 1 = 1 - i 1 + i 0 2
a college entrance test consists of 112 questions. the test contains true/false (7 points each), fill in the blank (9 points each) and multiple choice (13 points each). there are 1172 possible points total on the test. the number of fill in the blank is 34 less than the number of true/false. how many points come from fill in the blank questions?
The test has average 80 true/false questions, 24 fill in the blank questions, and 28 multiple choice questions, with 7, 9 and 13 points respectively, totaling 1172 points.
The college entrance test consists of 112 questions in total, with different types of questions having different point values. There are 80 true/false questions, each worth 7 points, with a total of 560 points from these questions. There are also 24 fill in the blank questions, each worth 9 points, giving a total of 216 points from these questions. Finally, there are 28 multiple choice questions, each worth 13 points, for a total of 364 points from these questions. All together, the test has 1172 points available. The number of fill in the blank questions is 34 less than the number of true/false questions, meaning that there are more true/false questions than fill in the blank questions. The test is designed to assess a student's knowledge and comprehension of the subject they are taking the test for, and is made up of the three different types of questions to give a comprehensive assessment of their understanding.
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Selection of raffle tickets from a large bowl is an example ofSimple probabilitySampling without replacementSubjective probabilityNone of the above
Selecting raffle tickets from a large bowl is an example of probability sampling without replacement.
Probability sampling is a method of selecting a subset of individuals from a larger population in a way that each individual in the population has a known and non-zero probability of being selected for the sample.
Sampling without replacement means that once an individual is selected for the sample, they are removed from the population and cannot be selected again. This is in contrast to sampling with replacement, where an individual can be selected multiple times for the sample.
In the case of selecting raffle tickets from a large bowl, each ticket has a known and non-zero probability of being selected for the sample, and once a ticket is selected, it is removed from the bowl and cannot be selected again. Therefore, this is an example of probability sampling without replacement.
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what is a proportional relationship?