Which of the following is a linear function?
A. y=1 over x
B. y=x²
C. y=x
D. y=√x
Answers
Answer:
C
Step-by-step explanation:
Related Questions
Un automóvil recorre 480 km en 8 horas. El tiempo aproximado para recorrer 720 km a la misma velocidad, corresponde a
a. 10
b. 8
c. 5
d. 12
Answers
the distribution of x given y = y is exponential with parameter y. we are interested in the random variable z = xy : how quickly, compared to the average, a customer is served
Answers
In the given scenario, the distribution of the random variable x, given that y = y, is exponential with parameter y. This implies that x follows an exponential distribution with a rate parameter of y.
Now, let's consider the random variable z = xy, which represents how quickly a customer is served. To analyze the distribution of z, we can use the properties of the exponential distribution.
The exponential distribution is memoryless, meaning that the time until an event occurs does not depend on how much time has already passed. In this case, it implies that the time it takes to serve a customer, represented by z, does not depend on the value of y.
Since x follows an exponential distribution with a rate parameter of y, the average value of x is 1/y. Therefore, the average value of z can be calculated as:
E[z] = E[xy] = E[x] * E[y] = (1/y) * y = 1
This means that, on average, a customer is served in a time period equivalent to 1 unit.
To summarize, in the given scenario, the random variable z = xy, which represents the time it takes to serve a customer, follows an exponential distribution. The average value of z is 1 unit, indicating that, on average, a customer is served within this time period.
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A customer is served with a rate \(y^2\) times faster than the baseline exponential distribution with parameter 1.
If the distribution of the random variable X given Y = y is exponential with parameter y, then the probability density function (PDF) of X, denoted as f(x|y), is:
f(x|y) = \(ye^(^-^y^x)\), for x ≥ 0
To find the distribution of Z, use the concept of transformation of random variables.
The cumulative distribution function (CDF) of Z, can be obtained by considering event Z ≤ z and then expressing it in terms of X and Y:
F(z) = P(Z ≤ z) = P(XY ≤ z)
Since Y is a constant, rewrite the inequality as:
F(z) = P(X ≤ z/Y)
Now, use the cumulative distribution function of X given Y = y to express F(z) in terms of X:
F(z) = ∫[0 to ∞] f(x|y) dx = ∫[0 to z/y] \(ye^(^-^y^x) dx\)
Integrating, we get:
F(z) = \(1 - e^(^-^y^z)\)
Differentiating F(z) with respect to z, probability density function of Z is:
f(z) = d/dz [F(z)] =\(y^2e^(^-^y^z)\), for z ≥ 0
Therefore, distribution of Z, representing how quickly a customer is served compared to the average, is exponential with parameter \(y^2\).
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Find the limit. Use l'Hospital's Rule
lim θ→π/2
1 − sin(θ)/
1 + cos(6θ)
Answers
Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.
Taking the derivative of the numerator:
d/dθ [1 - sin(θ)] = -cos(θ)
Taking the derivative of the denominator:
d/dθ [1 + cos(6θ)] = -6 sin(6θ)
Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:
lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))
When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:
= 0 / (-6)
= 0
Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.
If a 30-year-old male exercises 2 hours per week, what would you
expect his resting heart rate to be?
Answers
Answer:
(71) I believe
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Answer:
Approximately 72 bpm.
Step-by-step explanation:
In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).
I hope this helps :)
Charlie subtracts two polynomials, 5x^2 – 9x^2, and says that the difference proves that polynomials are not closed under subtraction.Kate argues that the difference does in fact show that polynomials are closed under subtraction. Who is correct? Type only 'Charlie' orKate' as your answer in the box.
Answers
Charlie
Here, we want to check if polynomials is closed under subtraction or not
To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not
We have;
\(\begin{gathered} 5x^2-9x^2=-4x^2 \\ \\ \text{And;} \\ \\ 9x^2-5x^2=4x^2 \end{gathered}\)As we can see, both results are not equal
If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.
PLS HELP THE PICTURE IS DOWN BELOW
Answers
Answer:
4
Step-by-step explanation:
Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.
You have the first point back 3, and the second point forward 1.
So starting at -3, you move 4 points to get to 1.
((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))
a sample of 158 college students asked them if they liked statistics. 93% said yes. calculate a 89% confidence interval for the true population proportion of those who like statistics
Answers
We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.
For P, what is the confidence interval at 95 percent?
Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.
What is the 95 percent confidence interval for the population's proportion of smokers?
Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.
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Caruso, Inc. has an inventory turnover rate of 8 times. If its cost of goods sold is $150,000, then a. The company will report sales of $1,200,000. b. The gross margin will be $1,200,000. c. The company's average inventory is $18,750. d. It sells its inventory 1,200 times per year.
Answers
Based on the given information that Caruso, Inc. has an inventory turnover rate of 8 times and a cost of goods sold of $150,000, the company average inventory can be calculated.
To calculate the average inventory, we can use the formula: Average Inventory = Cost of Goods Sold / Inventory Turnover Rate.
Plugging in the values, we have: Average Inventory = $150,000 / 8 = $18,750. Therefore, option c. The company's average inventory is $18,750 is the correct answer.
The inventory turnover rate measures how quickly a company sells its inventory during a specific period. In this case, the turnover rate of 8 times indicates that Caruso, Inc. sells its entire inventory 8 times per year. This suggests that the company has an efficient inventory management system and a relatively high sales volume compared to its inventory level. However, the other options provided (a, b, d) are not supported by the given information and are not accurate in this context.
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An angle between 0 and 2π that is coterminal with 960° is
Answers
Answer:
4 pi/3
Step-by-step explanation:
960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.
Do it again to get 600 - 360 = 240
240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.
Convert 240 degrees to radians:
240 * pi/180 = 4pi/3.
if you were to give a horse 1 ml per 250 lb of body weight of an anthelmintic, how many milliliters would you give to a horse that weighs 1250 lb?
Answers
Answer:
5 ml
Step-by-step explanation:
1250 lb * ( 1 ml / 250 lb ) = 5 ml
Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays this data? A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 64, 99. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 211, 256. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 99, 147, 246. The fourth column is labeled Total with entries 134, 160, 294. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 64, 147, 211. The fourth column is labeled Total with entries 99, 160, 259. A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 99, 134. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 246, 294.
Answers
Two way table is description of two dimensions' data and their intersections' data. The correct two-way table for the given data is:
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ..., Y_k\). List them in title of the rows and left to the columns. There will be \(n \times k\) table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
For the given case, let we suppose:
X = Ownership for skateboards
Y = Ownership for snowboards
\(Y_1\) = Student owns a skateboard\(Y_2\) = Student not owning skateboardTheir frequencies are given in the problem as:
35 of the 99 students who own a skateboard have snowboarded.
That means \(n(X_1 \cap Y_1) = 33\), and \(n(X_1)\) = 99 (total frequency(number of students) is 99)
There were 13 students who have snowboarded but do not own a skateboard, so \(n(X_2 \cap Y_1) = 13\)
147 students who have never gone snowboarding and do not own a skateboard. Thus, \(n(X_2 \cap Y_2) = 147\)
We get the table as:
\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&n(X_1\cap Y_2)&99\\X_2&13&147&n(X_2)=13 + 147=160\\\rm Total & n(Y_1)=35+13=48 & n(Y_2) & S=160+99=259 \end{array}\)
Thus, we get number of students who doesn't own snowboard but own skateboard = 99 - 35 = 64
and total students not owning either snowboard or skateboard = 35 + 147 = 182
Thus, the completed table would look like:
\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&35&64&99\\X_2&13&147&160\\\rm Total & 48 & 211 & 259 \end{array}\)
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Answer: C
Step-by-step explanation:
Write an equation for a line with a slope of -2, and a y-intercept of 1.
Answers
Use the formula y=mx+b
M is the slope. B is the y intercept.
Which is faster?
The number of bacteria colonies doubling every 80 minutes
Or
The number of bacteria colonies quadrupling after 4 hours (once?)
Answers
Answer:
A. the number of bacteria colonies doubling every 80 minutes.
Step-by-step explanation:
A. 2 cells = 80 mins
B. 4 cells = 80 mins
how to check;
multiply both sides by 2 in equation A
2 × 2 = 80 × 2
4 cells = 160 mins
change the mins into hours
4 cells = 160 ÷ 60
4 cells.= 2 hrs 40 mins
coagulate results
equation A. is 4 cells = 2hrs 40 mins
equation B. is 4 cells = 4 hrs
therefore equation A. is faster
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Are the ratios 4:8 and 1:2 equivalent?
Answers
Answer:
yes
Step-by-step explanation:
yes they are i can see this because, 4/8 is the same as 1/2.
I know this because if you reduce 4/8, you will get 1/2.
Simplify 4 p + 3 q − 3 p − 3 q
Answers
Answer: it is p
Step-by-step explanation:
4p-3p
Subtract 3p from 4p
=p
Brainliest pls
Answer:
p
Step-by-step explanation:
4p+3q-3p-3q
rearrange terms
4p-3p+3q-3q
combine like terms
1p+0q
simplify
p
hopes this helps
5. Prolific uses the bike in his trunk to find a nearby gas station with a mechanic to fix his rental
car. He rides 1.5 mi to the first gas station, where they say the next gas station may have a
mechanic. He then rides 1.6 mi to the next gas station, which also has no mechanic. The
following gas stations at 1.8 mi, 2.1 mi, and 2.5 mi away all have no mechanics available, but
confirm that there is a mechanic at the following gas station.
A. Assuming the rate remains constant, what equation will determine the distance of
the N gas station?
B.
If the pattern continues, how many miles will Prolific bike to get to the mechanic at
the 6th gas station?
Answers
Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.
Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.
Let's analyze the given information:
The first gas station is 1.5 miles away.
From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.
Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:
d = 1.5 + 0.1(N - 1)
B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:
d = 1.5 + 0.1(6 - 1)
= 1.5 + 0.1(5)
= 1.5 + 0.5
= 2 miles
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What is the decimal value of the 2 in the hexadecimal number F42AC16? a) 409610, b) 51210, c) 25610, d) 210
Answers
The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.
To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.
In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072. None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.
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please help im so lost lol
Answers
Answer:
B, C, and E
Step-by-step explanation:
6(x+4)+35
B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)
C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)
E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)
Answer:
I Honestly Dont Know Sorry haahahhahaha Go F ur self
Step-by-step explanation:
on their 560-mi trip, the bruins basketball team spent two more hours on the interstate highway than they did on local highways. they averaged 45 mph on local high-ways and 55 mph on the interstate highways. how many hours did they spend driving on local highways?
Answers
They spent 6.5 hours driving on local highways by travellin with diffrent average speeds.
Given that,
The bruins basketball team spent two more hours on the interstate than they did on local roadways during their 560-mile journey. They traveled at an average speed of 55 mph on interstates and 45 mph on local routes.
I=interstate
L=local
using d=rt the first rows gives you d=55t
the second row gives you 560-d=45(t-2)
Since the two distances add up to 560. Add the two distance expression and set their sum equal to the given total
560=55t+45(t-2) which equals
560=55t+45t-90
650=55t+45t
650=100t
6.5=t
Hence on local roadways, they traveled at various average speeds for 6.5 hours.
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Bacteria are taking over the kitchen sink. Right now, there are 375 microbes of bacteria. They double every hour.
Is the function describe above a growth or decay function?
Answers
Answer: The function described in this scenario above is a “Growth Function”
Have a nice day!
Use the distributive property to remove the parentheses,
-8(-5w-2y+6)
PLEASE HELP
Answers
Answer:
40x + 16y -48
Step-by-step explanation:
we need to distribute -8 so we can get rid of the parentheses
-8(-5w-2y+6)
by distributing, we're just multiplying each term inside the parentheses by -8
(-8)(-5x) + (-8)(-2y) + (-8)(6)
40x + 16y -48
Which of the following functions is not linear?
Answers
Answer:
third bubble, y = (1/3)^x
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answers
Step-by-step explanation:
x= -7 y=0
x= -3 y =-6
y =mx+b
b=-7
-6= -3m -7
-3m = 1
m= -1/3
y= -x/3 -7
\(y = - \frac{x}{3} - 7\)
For each sequence, describe a way to produce a new term from the previous term.
Answers
Given three sequences. Sequence A is 30, 40, 50, 60, 70,... Sequence B is 0, 5, 15, 30, 50,..
Sequence C is 1, 2, 4, 8, 16,...
The formula describing the term of sequence A is given below:
\(a_{n+1}=a_n+10\)The formula describing the term of sequence B is given below:
\(a_{n+1}=a_n+5n\)The formula describing the term of sequences C is given below:
\(a_{n+1}=2a_n\)Helpppp 30 points and brainliest
Answers
Answer:
i would say it's probably c
I need help please :(
Answers
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Answer:
7
Step-by-step explanation:
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.
Answers
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²
A single-server service facility has unlimited amount of waiting space. The customer interarrival times are exponentially distributed with mean 2.2 minutes (i.e. f(x) = De-/2.2). The customer service times in minutes) follow the following discrete distribution: 1 2 3 PTS .3 .3 (a) What is the mean and variance of the service times? (b) What is the traffic intensity? (e) What is the system throughput? (a) What is the long-run average waiting time (excluding service time) for each customer? (e) What is the long-run average number of customers in the system?
Answers
(a) To find the mean and variance of the service times, we can use the given discrete distribution.
The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
= [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
= 0.363 + 0.003 + 0.324
= 0.69
(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:
Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
= 2.1 / 2.2
= 0.9545
(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:
System Throughput = 1 / Mean Interarrival Time
= 1 / 2.2
≈ 0.4545 customers per minute
(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:
Long-run Average Waiting Time = Average Number of Customers / Throughput
= 1 / System Throughput
≈ 1 / 0.4545
≈ 2.2 minutes
(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:
Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
≈ 0.4545 * (2.1 - 2.2)
≈ -0.0454
The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.
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Line A is perpendicular to Line B.
If the slope of Line Ais ,
what is the slope of Line B?
Enter the correct symbol, + or -.
Answers
Answer:
-7/3
Step-by-step explanation:
the answer is the negative reciprocal.
1.Consider a 64-bit architecture machine where physical memory is 128GB a.If we would like to run processes as big as 256GB how many bits would be required for the logical address? 38 2 9& 25661 b.If we are using pages of size 4KB, how many bits are needed for displacement into a page? 12 bits 4KB= c.If a single level page table is used, what is the maximum number of entries in this table? 38 26 entries d.What is the size of this single level page table in terms of 4KB pages? 2o Pages e. If a two-level page-table is used and the outer page table is an 4KB page,how many entries does it contain, maximally? f. How many bits of the logical address are used to specify an index into the inner page (page of page table)?
Answers
a). 2^38 bytes of memory
b). 12 bits
c). The maximum number of entries in the single-level page table would be 2^38.
d). The size would be 2^38 * 4KB, which equals 2^20 pages.
e). The maximum number of entries it can have depends on the remaining bits of the logical address.
f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.
a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.
b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.
c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.
d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.
e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.
f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.
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