Answer:
-3 and 0 are like terms because both of them are numbers
identify the surface whose equation is given. 5r2 + z2 = 1
The given equation, 5r^2 + z^2 = 1, represents a surface called an ellipsoid. An ellipsoid is a three-dimensional shape resembling a stretched or compressed sphere.
To explain further, this equation represents a specific type of ellipsoid known as a prolate spheroid. It has a major axis along the z-axis and a minor axis along the r-axis. The equation states that the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.
In simple terms, imagine a three-dimensional shape that is stretched or compressed in such a way that its cross-sections in the r-z plane are ellipses. This is what the equation 5r^2 + z^2 = 1 represents.
To summarize, the given equation represents an ellipsoid, specifically a prolate spheroid, where the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.
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A company uses samples of size 9 to construct an X-bar chart to control the mean of the diameter of a drive shaft. On a certain day, a new employee takes a sample of size 4 and plot this sample average on the X-bar chart that is constructed with samples of size 9. Assuming the process is in control, what is the probability that this sample average falls outside the 3- sigma control limits of the X-bar chart?
Group of answer choices
0.00%
0.27%
1.24%
4.55%
13.36%
18.35%
31.73%
The probability that the sample average falls outside the 3-sigma control limits of the X-bar chart is 0.27%.
The 3-sigma control limits are calculated using the standard deviation of the process. If the process is in control, then 99.73% of the sample averages will fall within the 3-sigma control limits. The remaining 0.27% of the sample averages will fall outside the control limits.
In this case, the sample size is 4, which is smaller than the sample size of 9 that was used to construct the control chart. This means that the control limits for the sample of size 4 will be narrower than the control limits for the sample of size 9.
As a result, the probability that the sample average falls outside the control limits will be higher for the sample of size 4.
Specifically, the probability that the sample average falls outside the 3-sigma control limits for a sample of size 4 is 0.27%. This means that there is a 0.27% chance that the new employee will observe a sample average that falls outside the control limits, even if the process is in control.
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find tge length of the wire required to fence a field of length 290 meters and width of 75.25 meters
Answer: 730.5 meters of fencing.
Step-by-step explanation:
We are asked to find the perimeter (fence) of a rectangle (the field) with a length of 290 meters and a width of 75.25 meters.
To find the perimeter, we must add the lengths of each individual side of the rectangle. In other words,
290 + 75.25 + 290 + 79.25 =
730.5.
The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
210 divided by 7 = 30
30 x 3 = 90
Which two ordered pairs generated by x = y^2 - 1 can be used to show that the equation is not a function?
which one is it?
1. (3,2) and (15,4)
2. (8,3) and (8,-3)
3. (0,-1) and (-1,0)
4.(-3,-2) and (24,-5)
Please and thank you!
Answer:
3
Step-by-step explanation:
isbscw8sceia a qowbw s
Elena runs for 28 seconds and finishes at 250 meters. What is her velocity?
Diego runs for 32 seconds at -8.1 meters per second. What is his finish point?
Andre runs for 35 seconds and finishes at -285 meters. What is his velocity?
Answer: Elena's initial velocity is 0 because she is not moving. Her final velocity is 250 meters because that is the distance she finished at. The amount of time she ran for is 28 seconds.
Diego answer is 259.2
Andre answer is 814ms^-1
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
a normal population has a mean of $60 and standard deviation of $12. you select random samples of nine. required: a. apply the central limit theorem to describe the sampling distribution of the sample mean with n
The sampling distribution of the sample mean with n would have a mean of $60 (same as the population mean) and a standard error of $4.
The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the original population. In this case, you have a normal population with a mean of $60 and a standard deviation of $12.
To apply the Central Limit Theorem to describe the sampling distribution of the sample mean with n, we need to calculate the standard deviation of the sampling distribution (also known as the standard error).
The formula to calculate the standard error is: standard deviation / square root of sample size.
In this case, the standard deviation is $12 and the sample size is 9.
So, the standard error would be $12 / √9 = $12 / 3 = $4.
Therefore, the sampling distribution of the sample mean with n would have a mean of $60 (same as the population mean) and a standard error of $4.
Please note that the Central Limit Theorem applies when the sample size is large enough (typically n > 30), but it can still provide a reasonable approximation even for smaller sample sizes.
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which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
I did this already lol
-4
-3
-2
-1
0
1
1
2
3
4
b.
12
5
0
-3
-4.
у
-30
5 12
Answer:
Linear Regression: y = 0x + 2.67
Quadratic Regression: y = 1x^2 + 0x - 4
Step-by-step explanation:
USE STATS CALCULATOR
Using the graph, what is one solution to the equation f(x) = g(x)?
(See picture attached)
A: x = 3.9
B: x = 1
C: x = 0.25
D: x = -2
Answer:
Step-by-step explanation:
C
A : x = 3.9
_______________________________
The other solutions are approximately
x = - 2.4 and x = 1.5
Mr. Siefkes bought 8 grapefruits. Each grapefruit weighed 2.8 ounces. How many pounds did he buy?
(16 ounces = 1 pound)
Answer:
1.4 pounds
Step-by-step explanation:
Answer:
1.4
Step-by-step explanation:
8x2.8 = 22.4
22.4/16 = 1.4 pound
a class has eight girls and two boys. if the teacher randomly picks eight students, what is the probability that she will pick all girls? find the probability of the event.
Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.
To find the probability of the event, we need to use the formula for the probability of an event, which is:
P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.
There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.
Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)
Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.
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What is the solution set to 8(2^(x – 3)) ≤ 20 – 4^x
The solution of 8(2^(x – 3)) ≤ 20 – 4^x is (-∞,6/5]
We need to find the solution set to 8(2^(x – 3)) ≤ 20 – 4^x
\(8(2^{x - 3})\leq 20 - 4^{x\\\\} \\8(2^{x - 3})\leq 16 + 4 - 4.4^{x-1\\\\} \\2(2^{x - 3})\leq 4 + 1 - 4^{x-1\\\\} \\2(2^{x - 3})\leq 4 + 1 - 4.4^{x-2\\\\} \\(2^{x - 3})\leq 2 + 1/2 - 2.4^{x-2\\\\} \\(2^{x - 3})\leq 2^1 + (2^{-1} ) - 2.2^{2(x-2)}\\ (2^{x - 3})\leq 2^1 + (2^{-1} ) - 2^{4x-4+1)}\\ x-3 \leq 1 - 1 -4x +3\\x-3 \leq -4x +3\\x+ 4x \leq 3+3\\5x \leq 6\\x\leq 6/5\)
The solution set is (-∞,6/5]
Therefore, the solution of 8(2^(x – 3)) ≤ 20 – 4^x is (-∞,6/5]
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y= 3x^4+8x/2x work out the possible values of x when dy/dx=882
Step-by-step explanation:
y = 3x^4 + 8x/(2x)=
y = 3x^4 + 4 then
dy/dx = 12 x^3 and this = 882
12 x^3 = 882
x^3 = 73.5
x = 4.1889
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
If -5x-9y=5 is a true equation,would be the value of -5x-9y+2?
"
Find an equation for the line in the form a x+b y=c , where a, b , and c are integers with no factor common to all three and a \geq 0 . Through (1,-6) , perpendicular to x
" x+y=4 The equation of the line is (Type an equation
The equation of the perpendicular line is: y = x - 7
How to find the equation of the Line?The general form of the equation of a line in Slope Intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The given line has the equation as: x + y = 4
Expressing in slope intercept form is:
y = -x + 4
Now we know that the slopes of perpendicular lines are negative reciprocals of each other.
Thus, slope of perpendicular line = -1/-1 = 1
Thus, the perpendicular line passing through (1, -6) is:
-6 = 1 + c
c = -7
Thus, the equation is:
y = x - 7
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there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.
Answer:
Each person should share 1 and 1/2
Answer: Option (B)
Explanation: every problem resolution or solution starts with identifying the problem and its consequences or effects. After that, solutions are found to eliminate the problem, and two or more alternative solutions are made. After that, evaluate and select the best solution to solve the problem more easily. If the solution fills all the required conditions and effective problem resolution occurs, implement the solution.
Other options are wrong because of the following reasons.
A. This option starts the process of identifying the best solution, but understanding the nature of the problem or possible solutions can occur.
C. Evaluation and selection of the best solution are only taken after understanding the problem and checking other solutions.
D. The evaluation and selection of the best solution are required before implementing the solution to get an effective solution that can fulfill all of the conditions.
B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.
A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.
Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.
Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.
Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.
Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.
Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.
It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.
Regarding the other options you mentioned:
A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.
C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.
D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.
In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.
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Find the measure of the largest angle in the diagram below.
Answer:
The largest angle is 102
Step-by-step explanation:
2x + 3x + 10 = 180
5x + 10 = 180
5x = 170
x = 34
2(34) = 68
3(34) + 10 = 102
Answer:
Step-by-step explanation:
102
what is the radius of a circle if 24-meter chord is 5 meters from center
a____can be drawn between any two points
Answer:
a line can be drawn between any 2 points
Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
How to determine the length ts?The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
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Answer:
D: 10 cm
Worked for me on the "Congruent Figures" quiz on edge
Graph the function using six values of its domain, y=30 + 5x
Answer: Here ya go bro, answer is in picture below
now there are ten nucleotides floating around: a,a,a,a,t,c,c,c,g,g . at random, one is picked to go in the first position, and then another is picked to go in the second position, and then another is picked to go into the third position. what are the chances that the resulting sequence is cat ?
There will be 0.84% chances that resulting sequence in cat to occur.
Total number of nucleotides floating around = 10
Let the event of picking cat be "A"
Number of cat in group = 3
Probability of picking cat is picked at first position = P(A1) = 3 / 10
= 0.3
Probability of picking cat is picked at second position = P(A2) = 2 / 9
= 0.223
Probability of picking cat is picked at third position = P(A3) = 1 / 8
= 0.125
so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)
= 0.3 × 0.223 × 0.125
= 0.0084 required probability
There will be 0.84% chances that resulting sequence in cat
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what is the limit of the infinite series? ∑n=1[infinity](5n54n5 5) enter your answer in the box. enter any fraction as a simplified fraction.
The limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.
In this series, each term consists of the expression (5n⁵) divided by (\($4n^{5.5}$\)). We can simplify this expression by canceling out common factors:
\(\(\frac{{5n^5}}{{4n^{5.5}}} = \frac{5}{4} \cdot \frac{{n^5}}{{n^{5.5}}} = \frac{5}{4} \cdot \frac{1}{{n^{0.5}}} = \frac{5}{{4n^{0.5}}}\)\)
Now, let's analyze the behavior of the terms as n approaches infinity. As n increases, the denominator \($n^{0.5}$\) grows larger while the numerator remains constant. Consequently, the value of each term approaches zero.
Since the series consists of an infinite sum of terms approaching zero, the sum of the series also approaches zero as the number of terms increases.
Therefore, the limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.
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Given m||n, find the value of x.
Answer:
x=21
Step-by-step explanation:
A straight line is 180 so,
180-159=21
(20 Points) Please help!
What is the value of x? What is the measure of each exterior angle?
Answer:
70, 84, and 116
Step-by-step explanation:
(x) + (x + 14) + (2x - 24) + 90 = 360
4x - 10 + 90 = 360
4x = 280
x = 70
x + 14 = 84
2x - 24 = 116
I need help with this question on which equation .