Answer:
2500Step-by-step explanation:
20x100=2000
5x100=500
2000+500=2500
:)
Five times a number decreased by six is 29
Answer:
Let x be the number
"five times a number"
5x
"six less than five times a number"
5x-6
"is at least 29" >29 (greater than or equal too)
5x - 6 > 29
5x > 35 (add +6 to both sides retains the dense if the inequality)
x>7 (divide both sides by +7 retains the sense of Inequailty)
Check:
Is 5(7) - 6 > 29?
35 - 6 > 29 ?
29 > 29? yes, they are equal.
Try 50:
Is 5(50) - 6 > 29 ?
250 - 6 > 29?
244 > 29 ? yes
Answer:
5x - 6 = 29
Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.
A) x = 25.5
B) x = 34.5
C) x = 69
D) x = 60
Answer:
34.5
Step-by-step explanation:
An easy way to find this out is plug in all the answers into our equation until we get 180. So here's what you do:
A) X=25.5
So put that in the equation replacing x like this : 2(25.5)-9 =42 then multiply by three which = 126, So, A) is not our answer, now do it with the rest until you get 180,
2(34.5)-9=60 60x3=180 so your answer will be the number you plug in aka:34.5
Hope this helps you understand the topic a little better <3
“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________
Answer:
urdykdgjjdtdgdmgkgdzkyjt
Answer:
1. z=kxy
2. 36=k(3)(2)
k=6 is the answer
3. 2=k(4)(3)
k= -6 is the answer
z=kxy z=(-6)(8)(6)
z= -288 is the answer
you always remember that the formula we should use is z=kxy
Which best describes all of the intercepts of the graph of f(x)=x^3?
F.(0,0) is the x intercept
G.(0,0) is the y intercept
H. (0,0) is the x intercept and the y intercept
J. The function has no intercepts
Which expression is equivalent to 0.75x?
A) 1 - 0.25%
B) 0.75x - X
CX + 0.75
D x - 0.25x
Answer:
C
Step-by-step explanation:
trust
The answer is D. x- 0.25x
If the number that we have is .75x, then we will only have 3 quarters of our total and will take one quart away. 25 is one quarter.
HOPE THAT HOPES! & don't forget to drink water!!
Six points are drawn from uniform distribution U10,1]. The first three points are marked green and the next three are marked red on the real line. What is the probability that all adjacent points differ in color? Pick one of the choices
O 1/20
O 1/10
O 1/6
O 1/5
The probability that all adjacent points differ in color is given as follows:
1/10. (second option).
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the total outcomes, we have an arrangement of 6 elements, due to the six points, with 3 and 3 repetitions, as 3 are green and 3 are red, hence the number of total outcomes is calculated as follows:
\(T = A_6^{3,3} = \frac{6!}{3!3!} = 20\)
For the desired outcomes, there are two, given as follows:
Red - Green - Red - Green - Red - Green.Green - Red - Green - Red - Green - Red.This means that the probability that all adjacent points differ in color is calculated as follows:
p = 2/20 = 1/10.
Hence the second option is the correct option.
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If f left parenthesis x right parenthesis equals x squared minus 20 and g left parenthesis x right parenthesis equals 4 plus 3 x, then f left parenthesis g left parenthesis short dash 3 right parenthesis right parenthesis
The value of composite function f(g(3)) is 149.
According to the given question.
we have two functions
f(x) = x^2 - 20
And g(x) = 4 + 3x
Then, we have to find composite function f(g(3)).
For this first we will find g(3)
g(3) = 4 + 3(3) = 4 + 9 = 13
Therefore,
f(g(3))
= f(13)
= 13^2 - 20
= 169 -20
= 149
Thereofore, the value of composite function f(g(3)) is 149.
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An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?
Answer:
4957.56
Step-by-step explanation:
Call the 3 sides of the triangle as a,b,c.
We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.
To calculate an area of an equilateral triangle, we can use the formula :
\(\sqrt{3}\\\)/4 x \(a^{2}\)
=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56
Which statement about -10.5°C and -6°C is true?
0 -10.5°C< -6°C can be used to express the fact that -10.5°C is colder than -6°C.
0 -10.5°C -6°C can be used to express the fact that -10.5°C is warmer than -6°C.
0-10.5°C > -6°C can be used to express the fact that -10.5°C is colder than -6°C.
O -10.5°C > -6°C can be used to express the fact that -10.5°C is warmer than -6°C.
Answer:
In my view 1st answer is correct..
Can anyone help me solve this is a worksheet extra credit
Answer:
11. Coordinates of the meeting point 18,24
12.equation for line R, y= -2x/5-4
equation for line E,y=2x/5+12
13. 1,3, 4,5,10,13 ,15
14.70°
15. AC= 47
Step-by-step explanation:
I'm pretty sure about the answers. Please consider making brainliest. Thank you
Write a function rule of a line in slope intercept form that is parallel to line 5x - 3y = 7 and has the same y intercept of the line 4x-y=9
Answer:
y = \(\frac{5}{3}\) x -9
Step-by-step explanation:
Put both equations in the slope intercept form
y =mx + b
5x - 3y = 7 Subtract 5x from both sides
-3y = -5x + 7 Divide both sides by -3
y = \(\frac{-5}{-3}\) x + \(\frac{7}{-3}\) Cleaned up
y = \(\frac{5}{3}\) x - \(\frac{7}{3}\)
4x -y = 9 Subtract 4x from both sides
-y = -4x + 9 Divide all the way through by -1
y = 4x - 9
To make a line parallel to the first equation, we need the same slope. The slope of the first equation is \(\frac{5}{3}\). We are also told to have the same y intercept as the second equation which is -9
y = \(\frac{5}{3}\) x - 9
pan of which followi. Aequired: 1. A Proakie al inoome absement for the year ansed Kowember 20 , sora. C. Prepare a baiance theef as of Noventer 30 2oya acied Noventer 30, a VE. have been tho awount of aw meane ar not ioss?
The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period. To create a balance sheet gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. To determine whether there has been an increase or decrease compare the net income figure from a previous period with the net income figure from the current period
1) To prepare a projected income statement for the year ending November 20, sora, you would need to gather information about the revenues and expenses expected during that period. The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period.
2) To create a balance sheet as of November 30, 2oya, you will need to gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. The balance sheet provides a snapshot of the company's financial position, showing what it owns, owes, and the remaining equity.
3) To determine whether there has been an increase or decrease in the amount of net income, you would need to compare the net income figure from a previous period (presumably November 20, sora) with the net income figure from the current period (ending November 30, 2oya). If the net income has increased, it means the company has generated more profit during the current period compared to the previous one. Conversely, if the net income has decreased, it indicates a decline in profitability.
Overall, the task involves preparing a projected income statement and balance sheet and analyzing the change in net income to assess the company's financial performance.
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The current required reserve ratio is 8.1%. If a bank
receives a new deposit of $15,000, how much can they lend
out?
If a bank receives a new deposit of $15,000, the bank can lend out $13,785.
The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.
The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:
Required reserve amount = Deposit × Required reserve ratio
Required reserve amount = $15,000 × 0.081
Required reserve amount = $1,215
The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount
Amount available for lending = $15,000 − $1,215
Amount available for lending = $13,785
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Solve the system: x + 3y - 2z = 1 2x + y + 3z = 20 2x - 2y + z = 6 Write the values for x, y, and z as a three-digit number without spacing for your answer.
The values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.
To solve the system of equations:
x + 3y - 2z = 1
2x + y + 3z = 20
2x - 2y + z = 6
By the use of the method of Gaussian elimination or matrix algebra. Here, the Gaussian elimination:
1. Multiply equation 1 by 2 and subtract equation 3:
2(x + 3y - 2z) - (2x - 2y + z) = 2 - 6
2x + 6y - 4z - 2x + 2y - z = -4
8y - 5z = -4
2. Multiply equation 1 by 2 and subtract equation 2:
2(x + 3y - 2z) - (2x + y + 3z) = 2 - 20
2x + 6y - 4z - 2x - y - 3z = -18
5y + z = -18
3. Rearrange equation 2:
2x + y + 3z = 20
2x + 2y + 6z = 40
4. Subtract equation 3 from equation 2:
(2x + 2y + 6z) - (5y + z) = 40 - (-18)
2x + y + 5y + 6z - z = 58
2x + 6y + 5z = 58
Now we have a new system of equations:
8y - 5z = -4
5y + z = -18
2x + 6y + 5z = 58
We can solve this system using any method of our choice. In this case, solving the system yields:
x = 95
y = -9
z = -21
Therefore, the values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.
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A company decides to study its employees’ commuting habits. 12 randomly-selected employees record the length of their commute by car and the length of the same commute by public transportation. The results (in minutes) are shown in the table.
How can the values in the Difference row of the table be interpreted?
A. A positive difference means that the commute by car takes longer, and a negative difference means that the commute by public transportation takes longer.
B. A positive difference means the employees as a group spend more time commuting by car than by public transportation.
C. A positive difference means that the commute by public transportation takes longer, and a negative difference means that the commute by car takes longer.
D. A positive difference means the employees as a group spend more time commuting by public transportation than by car.
The values in the difference are interpreted as:
option (c): A positive difference means that the commute by public transportation takes longer, and a negative difference means that the commute by car takes longer.
What is meant by the difference between the two values?
Finding the difference between two numbers is a type of subtraction. Subtract the smaller of the two numbers from the larger of the two numbers to find the difference between them. The difference between the two numbers is the sum's product. It is not necessarily positive when two positive rational numbers differ from one another. The sequence in which the numbers are subtracted will affect the result as subtraction is not a commutative feature.
Let us look at the table.
For the 1st employee,
The time taken by car = 20 minutes
The time is taken by public transportation = 25 minutes
Difference = 25 - 20 = 5 minutes
So the difference is obtained when the time taken by car is subtracted from the time taken by public transportation.
Now the difference is positive because the time taken by public transportation is more.
A negative difference is obtained when the time taken by the car is more.
Therefore the values in the difference are interpreted as:
option (c): A positive difference means that the commute by public transportation takes longer, and a negative difference means that the commute by car takes longer.
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Julissa bought a magazine for $3 and some candy bars for $2 each. She spent a total of $21 using x for the number of candy bars. Write a two sept equation to model the situation that you could solve to find out how many Candy bars Julissa bought.
A. 3x + 2 = 21
B. 2x + 3 = 21
C. 2x + 3x = 21
D. 2x - 3 = 21
Step-by-step explanation:
I think its 2x +3x=21 because you can plug in the numbers?
If a right rectangular pyramid is sliced perpendicular to its base into two congruent pieces, which two-dimensional plane section could result from the slice?
A circle
B pentagon
C rectangle
D triangle
d triangle cause if it's cut n half then it's just a triangle
Answer:
D or C but i think its D
Step-by-step explanation:
Using +- 3o limits, calculate the LCL and UCL for these data A) UCL=7.437;LCL=−2.237 B) ∪CL=7.82;LCL=0 C) UCL=8.382;LCL=0 D) UCL=7.82;LCL=−2.22 E) UCL=9.112;LCL=0
The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.
The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.
In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.
To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.
The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.
By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.
To calculate the UCL and LCL using ±3σ limits, we use the following formulas:
UCL = Mean + 3σ
LCL = Mean - 3σ
Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237
B) For data set B:
UCL = 7.82
LCL = 0
C) For data set C:
UCL = 8.382
LCL = 0
D) For data set D:
UCL = 7.82
LCL = -2.22
E) For data set E:
UCL = 9.112
LCL = 0
The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.
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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?
A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.
A satellite moves at a speed of 2.4 x 10^4 km/h. Work out how long it will take for the satellite to move a distance of 3.2x10^6 km. Give your answer in standard form to 3 significant figures.
Answer:
Below in bold.
Step-by-step explanation:
speed = distance / time
2.4 * 10^4 = 3.2 * 10^6 /time
Time = 3.2 * 10^6 / 2.4 * 10^4
= 3.2/2.4 * 10^(6-4)
= 1.3333.. * 10^2 hours
= 133 hours ( to 3 significant figures).
Two trains train a interim be weird total of 333 tons. Train hey is heavier than train B.The difference of their weight is 141 tons… What is the weight of each train??
Answer:
Weight of Train A = A = 237 tons
Weight of Train B = B = 96 tons
Step-by-step explanation:
Two trains train a and be weigh a total of 333 tons. Train A is heavier than train B.The difference of their weight is 141 tons… What is the weight of each train??
Let us represent:
Weight of Train A = A
Weight of Train B = B
Our system of Equations is given as:
A + B = 333 tons..... Equation 1
A - B = 141 tons....... Equation 2
We solve using Elimination method
We Add Equation 1 and 2 together to Eliminate B
Hence:
2A = 474 tons
A = 474 tons/2
A = 237 tons
Solving for B using Equation 1
A + B = 333 tons..... Equation 1
237 tons + B = 333 tons
B = 333 tons - 237 tons
B = 96 tons
Therefore:
Weight of Train A = A = 237 tons
Weight of Train B = B = 96 tons
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
Solve |x+4|=6 need help for a quiz
Answer:
down below
Step-by-step explanation:
set up two equations:
x + 4 = 6 x + 4 = -6
solve both:
x = 2 x = -10
plug it back in to the original equation:
|2 + 4| = 6. |-10 + 4| = -6
|6| = 6. |-6| = -6
6 = 6. since absolute value is always positive:
correct. |6| = -6
6 does not = -6
write both of these down if you need to show your work
Which refers to a method that relies on sound waves and is used by different animal species for navigation, communication, and finding food? echolocation analog signaling infrared detection digital location
Answer:
I believe echolocation
Answer:
echolocation
Step-by-step explanation:
how does an expert system differ from conventional systems?
An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.
Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.
On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.
The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.
Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.
In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.
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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.
An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.
On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.
The main differences between expert systems and conventional systems are:
Knowledge base: Expert systems have a knowledge base that contains facts and rules about a specific domain. This knowledge base is used by the inference engine to make decisions. Conventional systems do not have a knowledge base.Reasoning and inference: Expert systems use reasoning and inference techniques to handle complex and uncertain situations. They can make decisions based on incomplete or uncertain information. Conventional systems do not have the ability to reason or infer.adaptability: Expert systems can learn and adapt over time. They can update their knowledge base based on new information or experiences. Conventional systems do not have the ability to learn or adapt.domain-specific: Expert systems are designed for specific domains, such as medicine, finance, or engineering. They have specialized knowledge in these domains. Conventional systems can be used in various applications and do not have specialized knowledge.Learn more:About expert system here:
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FСBDEList all congruent sides or angles based on the diagram's annotations above.O BC = FDAngle C is congruent to Angle AAB = EDAngle F is congruent to angle CAngle B is congruent to angle EO BC = FE
From the problem, the illustration denotes that segment BC is congruent to segment FE and the angles C and F are also congruent.
The answer is :
BC = FE
and
Angle F is congruent to angle C
The formula for the surface area of a sphere that has a radius r is shown. A sphere and one of its dimensions are
also shown. What is the surface area of the sphere in square inches?
SA = 4²
A) 40π
B) 80
C) 100
D) 400T
explain and show work
Therefore, the answer is A) 40π, and the work is shown above.
What is surface area?Surface area refers to the total area that covers the outside of an object or structure. It is a measure of the amount of exposed surface an object has. Surface area is typically measured in square units, such as b meters or square feet.
by the question.
The formula for the surface area of a sphere with radius r is:
SA = 4π\(r^{2}\)
To find the surface area of the sphere in square inches, we need to substitute the radius of the sphere into this formula.
Since we are not given the radius of the sphere, we cannot calculate the exact surface area. However, we do know that one dimension of the sphere is 4 inches (as shown in the diagram). This dimension is the diameter of the sphere, which is twice the radius. So, we can calculate the radius as follows:
radius = diameter/2 = 4/2 = 2 inches
Now we can substitute the radius into the formula for the surface area:
SA = 4π\((2)^{2}\)
SA = 4π(4)
SA = 16π
So, the surface area of the sphere is 16π square inches.
However, none of the answer choices match this exact value. We can use an approximation for π to find the answer that is closest to the exact value:
SA ≈ 16(3.14)
SA ≈ 50.24
Out of the given answer choices, the closest one to 50.24 is A) 40π, which is approximately 125.66. While it is not exact, A) is the closest answer choice to the surface area of the sphere.
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y = x ^ 4 + 5x ^ 3 - 23x ^ 2 - 25x + 66
Answer:
Step-by-step explanation:
X^2(x^2 + 5x^1 +23x-25x+66)
Now aplly midterm
Answer:
i hope this helps <3
Step-by-step explanation:
graphing tool i use is desmos
brainly plz
The real roots for the equation x4 – x3 10x2 – 16x – 96 = 0 are –2 and 3. what are the nonreal solutions? –i, i –2i, 2i –4i, 4i –16i, 16i
The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).
Non-real solution:
An answer to a mathematical equation with the root of a negative number that cannot be determined using solely real numbers—i.e., numbers that can be described along a single axis—is referred to as a non-real solution.
If a quadratic has a negative discriminant, then the quadratic equation has a Non-real solution.
Given,
\(x^{4} -x^{3}+10x^{2} -16x-96=0\)
On factorizing the above equation, we get
\((x-3)(x-2)(x^{2} +16)=0\)
Applying Zero Product Property,
\(x^{2} +16 = 0\) or \(x-3=0\) 0r \(x+2=0\)
Taking \(x^{2} +16 = 0\), we get
\(x^{2} =-16\)
x = ± \(\sqrt{-16}\)
x = ± 4i [∵ i = √-1]
Hence,
The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).
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Answer:
C
Step-by-step explanation:
edge 2026
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H
0:μ=5.00Mbps B. H 0:μ<5.00Mbps H 1:μ=5.00Mbps H 1 :μ=5.00Mbps C. H 0 :μ=5.00Mbps D. H 0 :μ=5.00Mbps H 1:μ<5.00Mbps H 1:μ>5.00Mbps Identify the test statistic. Identify the P-value. State the final conclusion that addresses the original claim. H 0. There is evidence to support the claim that the sample is from a population with a mean less than 5.00Mbps
Based on the given information the null and alternative hypotheses, the correct option is:
B. H0: μ = 5.00Mbps
H1: μ < 5.00Mbps
The null hypothesis (H0) states that the population mean (μ) is equal to 5.00Mbps, while the alternative hypothesis (H1) states that the population mean is less than 5.00Mbps. This indicates that we are testing whether there is evidence to support the claim that the sample comes from a population with a mean less than 5.00Mbps.
To determine the test statistic and p-value, we need more information such as the sample size, sample mean, and standard deviation, as well as the chosen significance level (alpha). The test statistic is typically calculated based on the sample data and the hypothesized population parameters. The p-value is a measure of the strength of evidence against the null hypothesis.
Without this additional information, it is not possible to calculate the test statistic or p-value or draw a final conclusion regarding the original claim.
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Drag the tiles to the boxes to form correct pairs.
Eye Color
Hair Color Blue Gray Green Brown Marginal Total
Blond 42 5 21 10 78
Red 12 22 19 12 65
Brown 22 5 12 34 73
Black 9 3 11 64 87
Marginal Total 85 35 63 120 303
As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students' eye color and hair color. The table contains the survey results. Match the descriptions with the correct values.
ANSWERS:
number of students with blue eyes and blond hair = 42
number of students with gray eyes and brown hair = 5
difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair = 6
difference of the number of students with green eyes and blond hair and the number of students with gray eyes = 14
The difference of the number of students with green eyes and blond hair and the number of students with gray eyes is 14.
The correct matches of the descriptions with the correct values:
1. The number of students with blue eyes and blond hair = 42
The given table shows the survey results of students' eye and hair colors. Blue eyes and blond hair are found in the intersection of the Blue row and the Blond column.
The value in that intersection is 42, which represents the number of students with blue eyes and blond hair.
2. The number of students with gray eyes and brown hair = 5
Gray eyes and brown hair are found in the intersection of the Gray row and the Brown column.
The value in that intersection is 5, which represents the number of students with gray eyes and brown hair.
3. The difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair = 6
The number of students with gray eyes and brown hair is 5, and the number of students with green eyes and black hair is 11.
Subtracting these values, we get:
11 - 5 = 6
Therefore, the difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair is 6.4.
The difference of the number of students with green eyes and blond hair and the number of students with gray eyes
= 14
The number of students with green eyes and blond hair is 21, and the number of students with gray eyes is 35. Subtracting these values, we get:
35 - 21 = 14
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