Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, b is the y-intercept.
we need to transform x + 2y = 6, so that we end up with y being all alone on one side, and the rest on the other side.
x + 2y = 6
2y = -x + 6
y = -x/2 + 6
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?
(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31. Therefore, there are 31 different ways this can happen
To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:
1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).
Therefore, the range of possible values for "x" is 1 to 5.
2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.
To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.
Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.
Therefore, there are 31 different ways this can happen
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What digit is the most frequent between numbers 1 and 1,000(inclusive)?
Answer:
Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
Research question: Do the majority of U.S. adults oppose the death penalty?
Based on this research question, here are the hypotheses:
0: 50% of U.S. adults oppose the death penalty.
: A majority (more than 50% of adults) oppose the death penalty.
Suppose a survey was conducted in which a random sample of 1,100 U.S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U.S. adults oppose the death penalty.
Which of the following P-values support this conclusion?
Answer:
i would say yes
Step-by-step explanation:
: A siren emits a sound wave with frequency fo. The graph shows the frequency you hear as you stand at rest oat x = 0 on the x-axis. Which is the correct description of the siren's motion? fo+--- o i į ģ 1(3) A. It moves from left to right and passes you at t = 2 s. B. It moves from right to left and passes you at t = 2 s. C. It moves toward you for 2 s but doesn't reach you, then reverses direction at t = 2 s and moves away. D. It moves away from you for 2 s, then reverses direction at t = 25 and moves toward you but doesn't reach you
Siren moves toward you for 2 s but doesn't reach you, then reverses direction at t = 2 s and moves away. Option C is correct.
The graph shows the frequency you hear as you stand at rest at x = 0 on the x-axis.
At t = 0 s, the frequency of the sound wave is fo.
From t = 0 s to t = 2 s, the frequency of the sound wave increases as the siren moves toward you, however it does not reach you.
At t = 2 s, the siren reverses direction and moves away from you.
Therefore, the correct description of the siren's motion is Option C: It moves toward you for 2 s but doesn't reach you, then reverses direction at t = 2 s and moves away.
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Select the FALSE statement about completely random design. a.) Subjects are randomly assigned to treatments. b.) Any number of treatments may be addressed. c.) The additional variables affect different control groups differently. d.) It minimizes the effects of confounding variables.
Answer:
your answer is A.
Step-by-step explanation:
The false statement about completely random designs is this: c.) The additional variables affect different control groups differently.
What is the false statement?The false statement about completely random designs is that additional variables affect different control groups differently. It is however true that in completely random esigns, the subjects are randomly assigned to treatments and any number of treatments may be addressed.
Also, the goal of this type of design is to reduce the effects of confounding variables. So, the correct option number that describes the false statement is C.
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PLS HELP THIS IS HARD ANYONE PLS
Answer:
it's the top one
Step-by-step explanation:
When belinda walks to school in the morning, it takes her 12 minutes to walk the 1 kilometer. When she walks home after school with her little sister, it takes twice as long. Does belindas speed increase or decrease when she walks with her sister?
Answer:
Decrease
Step-by-step explanation:
Belinda takes 12 minutes to walk to school and it takes TWICE AS LONG to walk back home from school because she has her little sister. Therefore Belinda's speed does in fact "decrease" when she walks home from school with her sister.
Hope this helps.
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
What is 3 divided by 4?
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
Consider the number 14. Which statement(s) are correct.
a
To multiply by 103, add 2 zeroes to the end of the number.
b
To multiply by 106, add 6 zeroes to the end of the number.
c
To multiply by 108, add 9 zeroes to the end of the number.
d
To multiply by 1011, add 11 zeroes to the end of the number.
Answer:
c
Step-by-step explanation:
ok
The smallest of three consecutive odd is numbers is n. If their sum is 27,find the three numbers
Answer:
Therefore the sum of three odd numbers is always an odd number. Hence Proved. Let the number is 15,13 and 3 then 15=2*7+1 13=2*6+1 3=2*1+1 where 1,6 and 7 now 15+13+3=2*7+1+2*6+1+281+11 =2(7+6+1)+3 =2*14+3(24 is our 'm') and 2*14≠30. OR 15+13+3≠30
Step-by-step explanation:
The question is that you cannot get 30 by adding any three odd numbers because addition of 3 odd numbers always give another odd number and hence 30 which is an even number cannot be achieved. 2n-1 where n is a natural number.
Q6. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm.
(a)
Work out the volume of solid B.
Answer:
640cm³
Step-by-step explanation:
Length SF = ×2
Volume SF = ×2³ = ×8
Volume of B = 8 × 80 = 640cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm³.
The scale factor is given as,
Scale factor = 8 / 4
Scale factor = 2
The scale factor of the volume is given as,
⇒ 2³
⇒ 8
Then the volume of the solid B will be given as,
Volume of B = 8 x 80
Volume of B = 640 cm³
The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.
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HELP!!!Find the measures for angles A and B. Show your work. A. m∠A=44° m∠B=54° B. m∠A=44° m∠B=46° c. m∠A=25° m∠B=75°
Answer: I think B is answer to ur question
Step-by-step explanation:
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
\( \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} \)
Which ordered pairs are in the solution set of the system of linear inequalities?
y >-1/3x+2
y < 2x + 3
(2, 2), (3, 1). (4. 2)
(2. 2)(3, -1). (4. 1)
(2,2),(1,2),(2,0)
(2,2),(1,2),(2,0)
(2, 2), (3, 1), (4, 2) are ordered pairs are in the solution set of the system of linear inequalities.
What are linear inequalities, exactly?
A mathematical expression that compares two expressions using the inequality symbol is known as a linear inequality. The expression may be either a numerical or an algebraic expression, or it may be both.
x - 5 > 3x - 10 is an illustration of a linear inequality. Since greater than is utilized in this inequality, the LHS is indubitably greater than the RHS. The inequality is represented by the formula 2x 5 x (5/2).
y >-1/3x+2
y < 2x + 3
The answer is "None" of the given choices satisfy the linear inequality. Each choice has a point (2,2) which dissatisfy the equation.
(2, 2), (3, 1), (4, 2)
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Someone pls help me I need this to get math grade up
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Dilation by a factor of 3 about point P moves A to a position that is 3 times as far from P. This is shown in the attachment.
Dilation is always along a line through the original point and the center of dilation.
__
(The lines are there in the attachment simply to show you that the image position is 3 times the distance from P that the original position is. They are not part of the dilation or the image.)
If I took any two distinct prime numbers, and the number "1", would these numbers always be pairwise relatively prime? True O False
The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.
Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.
Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.
In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.
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If x is a binomial random variable with n = 20 and p = 0.25, the expected value of x is:_________
The expected value with a sample size of 20 and a probability of 0.25 will be 5.
What is the expected value?The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.
E(x) = 20 x 0.25
E(x) = 5
The expected value with n = 20 and p = 0.25 will be 5.
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Explain Statistical Process control in 400 to 500 words.
Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.
Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.
The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.
Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.
The key components of SPC include:
1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.
Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.
2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.
These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.
3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.
By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.
4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.
Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.
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What would 2300 divided by 330 times 3 epuals what ?
Answer: 23
Step-by-step explanation:
PLEASE HELP
Write a word problem with the numbers -3 and 6 that result in -9
Answer:
6+-3 =-9
Step-by-step explanation:
so if u add a positive number to a negative number the whole answer is a negative number i
Can you please help with this question
Refer to the Journal of behavioural decision making (Jan. 2007) study of how guilty feelings impact decisions, Excersise 3.59 (p.142). Recall that 57 students were assigned to a guilty state through a reading/writing task. Immediately after the task, the students were presented with decision problem where the stated option has predominantly negative features. Of those 57 students ,45 choose the stated option. Suppose 10 of 57 guilty state students are selected at random. Define x as the number in the sample of 10 who chose the stated option.
A) Find p(x=5)
(B) Find p(x=8)
(C) What is the expected value (mean) of x?
A) The value of p(x=5) is 0.2017
B) The value of p(x=8) is 0.1167
C) The expected value (mean) of x7.89.
A) We are required to find P(x = 5).P(x = 5) is the probability that 5 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 5) = nCx px q(n - x)
where n = 10, x = 5, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 5) = (10C5) (0.789)5 (0.211)5= 0.2017 (rounded to four decimal places)
B) We are required to find P(x = 8).P(x = 8) is the probability that 8 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 8) = nCx px q(n - x)
where n = 10, x = 8, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 8) = (10C8) (0.789)8 (0.211)2= 0.1167 (rounded to four decimal places)
C) We are required to find the expected value (mean) of x.
Using the binomial distribution formula, we have
E(x) = np
where n = 10, and p = 45/57 = 0.789
Thus, E(x) = 10 × 0.789= 7.89 (rounded to two decimal places)
Therefore, the expected value (mean) of x is 7.89.
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Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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Jamall Rolls A six sided die and spins A four color spinner. What is the possibility that he rolls a 4 and spins a yellow?
1/24
1/12
1/6
1/2
Answer:
1/24
Step-by-step explanation:
The probability of rolling a 4 is a 1/6 chance. The probability of spinning a yellow is a 1/4 chance. You multiply both of these fractions to get the possibility.
1/6 * 1/4 = 1/24
what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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Identify the center and radius of each. Then sketch the graph.
x^2 + y^2 =45
Answer:
centre: (0, 0)
radius: 3√5 ≈ 6.71
Step-by-step explanation:
The equation of a circle is denoted by:
\((x-x_1)^2 +(y-y_1)^2=r^2\), where \((x_1,y_1)\) is the centre and r is the radius
Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).
We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.
Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.
~ an aesthetics lover
Answer the following questions below: True or False
- A survey timeline indicates the date for activation of the measurement instrument.
True or False
- Instrument disposition can involve the creation and delivery to a dropbox for paper-and-pencil instruments.
True or False
- Participant data entry can increase the accuracy of a data record.
True or False
- A significant number of "Don’t Know" responses to a closed measurement question may mean that the measurement instrument failed to provide appropriate response categories.
True or False
- When cross-tabulation is used in CFA for testing purposes, it’s called a contingency table.
True or False
- Percentages translate the data to a base of 100, paving the way for relative comparisons between variables.
True or False
The answer to the questions on instrument are:
True
True
True
True
False
True
How to answer the questions below: True or False?True: A survey timeline typically includes various dates related to the survey administration, such as the start and end dates for participant recruitment, the date for activation of the measurement instrument, and the deadline for completing the survey. The date for activation of the measurement instrument refers to the date on which the survey respondents can begin answering the questions.
True: Instrument disposition refers to the process of distributing and collecting the measurement instruments. This can involve various methods, such as mailing the instruments to the participants or delivering them to a dropbox for paper-and-pencil instruments.
True: Participant data entry can increase the accuracy of a data record because it eliminates the need for manual data entry, which can introduce errors. With participant data entry, the participants themselves enter their responses directly into a computer or mobile device, ensuring that the data is accurate and complete.
True: A significant number of "Don’t Know" responses to a closed measurement question may indicate that the measurement instrument failed to provide appropriate response categories. If the survey respondents are unsure about how to answer a question and there is no appropriate response option available, they may select "Don’t Know" instead.
False: Cross-tabulation in CFA (Confirmatory Factor Analysis) is typically used to examine the relationship between two or more variables, and it is not called a contingency table. A contingency table is a table used to display the frequencies and/or percentages of two or more categorical variables.
True: Percentages are a way of expressing data in relation to a base of 100, making it easier to compare variables. For example, if 80 out of 100 respondents answered "Yes" to a question, we can say that the percentage of respondents who answered "Yes" is 80%. This allows us to compare the percentage of "Yes" responses to other questions or variables in the survey.
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