Answers
Answer:
f(x+3)=4x+14
Step-by-step explanation:
To solve this problem, plug in x+3 into the function as if it were a numerical value.
f(x+3)=4(x+3)+2
f(x+3)=4x+12+2
f(x+3)=4x+14
Answer:
c. f(x+3)=4x+14
Step-by-step explanation:
collegebridge
Related Questions
SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
Answers
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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what is the 95% confidence interval estimate of the difference in traffic between a rural and urban location? assume that all other independent variables remain constant.
Answers
To find the confidence interval statistical analysis such as hypothesis testing or regression analysis is used. However, it is impossible to calculate without data.
To estimate the difference in traffic between a rural and urban location with a 95% confidence level, you would need specific data or information about the traffic counts or relevant measurements from both locations. The confidence interval estimate can be obtained using statistical analysis techniques such as hypothesis testing or regression analysis.
Typically, the process involves collecting data on traffic counts or related variables from both the rural and urban locations. Then statistical methods are applied to calculate the confidence interval estimate based on the sample data. The specific formula or method used would depend on the nature of the data and the analysis approach chosen.
Without specific data or information about the traffic counts or measurements, it is not possible to provide a numerical estimate for the 95% confidence interval of the difference in traffic between a rural and urban location.
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Suppose you want to construct a 90% confidence interval for the average speed that cars travel on the highway. You want a margin of error of no more than plus or minus 0.5 mph and know that the standard deviation is 7 mph. At least how many cars must you clock?
Answers
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
Step 1: Identify the critical value (z-score) for a 90% confidence interval. This can be found in a standard z-table or using a calculator. The critical value for a 90% confidence interval is 1.645.
Step 2: Use the margin of error (E) formula to calculate the sample size (n):
E = (z * σ) / √n
Where E is the margin of error (0.5 mph), z is the critical value (1.645), σ is the standard deviation (7 mph), and n is the sample size.
Step 3: Rearrange the formula to solve for n:
n = (z * σ / E)^2
Step 4: Plug in the values and calculate the sample size:
n = (1.645 * 7 / 0.5)^2
n ≈ 338.89
Since the sample size must be a whole number, round up to the nearest whole number.
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
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The scale of a map is 2/5 inches represents 3 miles. How many miles does 1 inch represent?
Answers
Find the limit of the function by using direct substitution. (6 points)
limit as x approaches zero of quantity x squared minus two.
Answers
Hi there!
\(\large\boxed{ \lim_{x \to 0} x^{2} - 2= -2}\)
In direct substitution, simply plug in the x-value given to solve for the limit as x approaches zero:
\(\lim_{x \to 0} x^{2} - 2 \\\\ \lim_{x \to 0} (0)^{2} - 2\\\\ \lim_{x \to 0} x^{2} - 2= -2\)
In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
Answers
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
\(\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}\)To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
Answers
The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).
1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.
The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.
The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.
In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.
Therefore, the correct answer is C: 101.
1b. A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.
1c. C: In fine-grained multithreading, switching between threads happens after every instruction.
In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.
1d. B: Peak Floating-Point Performance
In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.
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which type of associations occurs when there is a relationship between two variables, but the relationship is caused by a third variable?
Answers
The type of association you are referring to is called a spurious correlation. In a spurious correlation, there is a relationship between two variables, but the relationship is actually caused by a third variable, also known as a confounding variable. This can lead to misleading conclusions if the third variable is not taken into account.
The type of association that occurs when there is a relationship between two variables, but the relationship is caused by a third variable is called a spurious association or a confounding variable. In this case, the relationship between the two variables is not a direct causal relationship, but is instead influenced by the third variable. It is important to identify and control for confounding variables in order to accurately interpret the relationship between the two variables of interest.
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Plz help due tomorrow
Answers
Answer: 2 less than 7 times a number =33
Step-by-step explanation:
Answer:
C. Two less than seven times a number equals 33
Step-by-step explanation:
The correct answer would be the one you chose, or C. Two less than seven times a number equals 33
This is because 7 is being multiplied by x, which is a number, and then that is being subtracted by 2, and the total comes out to 33.
Hope this helps :)
a discount of $193.16 to its regular price of $828.15
sales price= $
Answers
Answer: $634.99
Step-by-step explanation:
Regular price, R - Discount, D = S
subtract discount from regular price
Answer: $634.99
Step-by-step explanation:
$828.15 - 193.16 would equal 634.99
so the discounted price would be $634.99
Write as an exponential equation. log 2 1/8 The logarithm log 2 1/8 =-3 written as an exponential equation is ___
(Type an equation. Type your answer using exponential notation. Use integers or fractions for any numbers in the equation)
Answers
To write the logarithmic equation log₂(1/8) = -3 as an exponential equation, we need to understand the relationship between logarithms and exponentials. The logarithm log₂(1/8) = -3 means that 2 raised to the power of -3 equals 1/8.
Therefore, the exponential equation is:
2^(-3) = 1/8.
In this equation, the base is 2, the exponent is -3, and the result on the right side is 1/8. This equation represents the same relationship as the logarithmic equation log₂(1/8) = -3, where the logarithm is the exponent and the base is the number being raised to that exponent.
So, the exponential equation equivalent to log₂(1/8) = -3 is 2^(-3) = 1/8.
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Can somebody please help me with this math question
Answers
Parker invests money in an account paying a simple interest of
1.1% per year. If he invests $110 and no money will be added or
removed from the investment, how much will he have in one
year, in dollars and cents?
Answers
Answer:
111.21
Step-by-step explanation:
Took the test
it's D because i did the test and got it right
:D
Answers
Answer:
ok
Step-by-step explanation:
I need this answered ASAP!
Answers
Answer:
29 sq.inches
Step-by-step explanation
2x2+5x3+5x2=29sq .inches
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form and as a decimal rounded to four places.
45
4
27
E
36
sin D =
sin E =
cos D=
cos E=
5
27
36
= .75
=
.8
||
Answers
The identities as a fraction and decimal numbers are:
Sin D = 4/5 = 0.8
Sin E = 2/5 = 0.4
Cos D = 1
Cos E = 4/5 = 0.8
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Sin D = EF / ED
Sin E = DF / ED
Cos D = DE / ED
Cos E = EF / ED
Now,
EF = 36
DE = 45
DF = 27
Sin D = 36 / 45 = 4/5 = 0.8
Sin E = 27 / 45 = 2/5 = 0.4
Cos D = 45 / 45 = 1
Cos E = 36 / 45 = 4/5 = 0.8
Thus,
Sin D = 4/5 = 0.8
Sin E = 2/5 = 0.4
Cos D = 1
Cos E = 4/5 = 0.8
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A ball is thrown into the air with an initial upward velocity of 48 feet/second. If height h in
feet after t seconds is given by the function h(t) = – 16t2 + 48t + 4.
a) What height will the ball be when 2 seconds has passed?
b) In how many seconds will the ball reach its maximum height?
c) What is the ball’s maximum height?
Answers
Answer:
Step-by-step explanation:
after 2 seconds the ball would be 96 feet in the air
in 9 seconds will it reach its max height
max height=136ft
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(0, 2); y=−5x+8
Answers
The parallel line in slope-intercept form has an equation of y = -5x + 2
How to determine the line equation?The equation is given as
y = -5x + 8
The point is also given as
Point = (0, 2)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equation y = mx + c and y = -5x + 8, we have the following representation
m = -5
This means that the slope of the given equation is -5
The slopes of parallel lines are equal
This means that the slope of the other line is -5
The equation of the parallel line is then calculated as
y = m(x - x₁) +y₁
Where
m = -5
(x₁, y₁) = (0, 2)
So, we have
y = -5(x - 0) + 2
Evaluate
y = -5x + 2
Hence, the equation of the parallel line is y = -5x + 2
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and the feature below, two chords intersect inside the circle at point U. suppose that UM = 26, UJ = 13, and UK =39. Find UN.
Answers
The Intersecting Chords theorem states that the products of the line segments on each chord are equal. In other words,
\(UM\cdot UN=UJ\cdot UK\)We already know that UM = 26, UJ = 13, and UK = 39. Putting these values in the above equation gives us
\(26\cdot UN=13\cdot39\)\(26\cdot UN=507\)Dividing both sides by 26 gives
\(\textcolor{#FF7968}{UN=19.5.}\)which is our answer!
What is the missing length?
No links please! Giving out Brainliest too. :)
Answers
Answer:
300.46
Step-by-step explanation:
318.56cm - 18.1
Answer:
304
Step-by-step explanation:
hope it helped you out
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
Answers
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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What is variance in statistics?
Answers
Variance in statistics is the squared difference between a random variable's expected value and its mean value.
Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.
Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.
Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.
\(Var(X) = E[(X-\mu)^2]\)
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Simplify 5(2x-3)-2(3x-8)
Answers
Answer: 4x+1
Step-by-step explanation:
1. 5(2x-3)-2(3x-8)
2. 10x-15-2(3x-8)
3. 10x-15-6x+16
4. 10x+1-6x
5. 4x+1
Answer:
4x+1
Step-by-step explanation:
First you have to expand it like 10x-15-2(3x-8) Basically multiplying 5 with 2x and -3.
Then take -2 multiply with 3x and -8 which will make it 10x-15-6x+16
Now Put together the like terms 10x-6x -15+16
Which makes it 4x+1
Hope it helped! I am a student too.
Brainly wont be there to help you in life its better to study.
Solve for x and y, will mark brainliest please help!
Answers
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
You have 24 packets that each have 1/3 ounce of honey for your chicken Mac nuggets. If you ate all of the honey, how much honey would you have eaten?
Answers
Answer:
8 ounces of honey
Step-by-step explanation:
an experiment consists of tossing a fair coin 5 times in succession. what is the probability of getting 2 or more heads?
Answers
The probability of getting 2 or more heads in 5 successive coin tosses is 13/16 or approximately 0.8125.
To calculate the probability of getting 2 or more heads in 5 successive tosses of a fair coin, we need to consider all the possible outcomes that satisfy this condition.
The total number of possible outcomes when tossing a coin 5 times is 2^5 = 32, as each toss has 2 possible outcomes (heads or tails).
To find the probability of getting 2 or more heads, we need to calculate the probability of the complementary event, which is getting 0 or 1 head and subtract it from 1.
The probability of getting 0 heads (all tails) is (1/2)^5 = 1/32.
The probability of getting 1 head and 4 tails is (5 choose 1) * (1/2)^5 = 5/32.
Therefore, the probability of getting 2 or more heads is 1 - (1/32 + 5/32) = 26/32 = 13/16.
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How do I find the value of the expression for (2x - 12) + (xy-10) for x =
for x = 8 and y = 2.
Answers
Answer:
10
Step-by-step explanation:
(2*8-12)+(8*2-10)
(16-12)+(16-10)
4+6
10
Solve for x D (3x-4)° (6x) 112° F
Answers
The solution for x of the expression 3x - 4 + 6x = 112 is given as follows:
x = 12.89.
How to solve the expression?The expression for this problem is defined as follows:
3x - 4 + 6x = 112
The first step is combining the like terms at the left side of the expression, hence:
3x + 6x = 9x.
Then the expression is given as follows:
9x - 4 = 112.
Isolating the variable x, the solution for x of the expression is given as follows:
9x = 116
x = 116/9
x = 12.89.
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can someone answer this question really fast
Sophie is buying 3
outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10
each, and her total is $64.50.
How much did each pair of shorts cost?
Enter your answer as a decimal, like this: 42.53
Answers
3•$10 = $30
$64.50 - $30 = $34.50
$34.50/3 = $11.50
21.5 - 10= 11.50
So shorts cost 11.50
SOMEONE HELP ASAP PLEASE
Answers
Answer:3/4
Step-by-step explanation: