Answer: 9 and 3
Step-by-step explanation: Depends the signs +/- and the problem.
i don’t know what to do
The table of values for the equation of line y = ( -3/4 )x + 3 is given by
x = { -4 , 0 , 4 , 8 }
y = { 6 , 3 , 0 , -3 }
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( -3/4 )x + 3
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope m = -3/4
when x = -4
y = ( -3/4 ) ( -4 ) + 3
y = 3 + 3
y = 6
when x = 0
y = ( -3/4 ) ( 0 ) + 3
y = 0 + 3
y = 3
when x = 4
y = ( -3/4 ) ( 4 ) + 3
y = -3 + 3
y = 0
when x = 8
y = ( -3/4 ) ( 8 ) + 3
y = -6 + 3
y = -3
Hence , the table of values are x = { -4 , 0 , 4 , 8 } and y = { 6 , 3 , 0 , -3 }
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Identify the part-to-whole ratio that describes the location of point P(3, 1) on the directed line segment AB, with coordinates A(-2, 6) and B(4, 0).
The part-to-whole ratio that describes the location of point P(3, 1) on the directed line segment AB, with coordinates A(-2, 6) and B(4, 0) is given as follows:
5/6.
How to obtain the part-to-whole ratio?The part-to-whole ratio that describes the location of point P(3, 1) on the directed line segment AB, with coordinates A(-2, 6) and B(4, 0) is obtained applying the proportions in the context of the problem.
We have that both the x-coordinate and the y-coordinate of A and B have a difference of 6 units.
We also have that both the x-coordinate and the y-coordinate of point P(3,1) have a difference of five units from the coordinates of the starting point of the segment A.
Then the ratio is given as follows:
5/6.
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a set of data with a mean of 45 and a standard deviation of 5 is normally distributed. find each value, given its distance from the mean
A set of data with a mean of 90 and a standard deviation of 3.5 is normally distributed. Find each given value, given its distance from the mean
For the given information, the standard deviation are 30 and 103.25 respectively.
What is standard deviation?
The standard deviation measures the amount of variability or dispersion in the data set. It is the square root of the average of the squared deviations from the mean.
We can use the properties of a normal distribution to find the values given their distance from the mean. In particular, we can use the standard deviation to determine how far a given value is from the mean in terms of the number of standard deviations.
For the set of data with a mean of 45 and a standard deviation of 5:
A value that is 1 standard deviation above the mean is at 45 + 5 = 50
A value that is 2 standard deviations above the mean is at 45 + 2(5) = 55
A value that is 3 standard deviations below the mean is at 45 - 3(5) = 30
For the set of data with a mean of 90 and a standard deviation of 3.5:
A value that is 1 standard deviation above the mean is at 90 + 3.5 = 93.5
A value that is 2 standard deviations below the mean is at 90 - 2(3.5) = 83
A value that is 3.5 standard deviations above the mean is at 90 + 3.5(3.5) = 103.25
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Test scores for two classes are compared to determine which class exhibits a larger spread of scores.
Class A scores: {67, 78, 45, 98, 88, 86, 94, 85, 83, 88, 89, 69}
Class B scores: {68, 98, 87, 81, 92, 74, 100, 72, 65, 78, 93, 79}
Select from the drop-down menus to correctly complete the statements.
Question 3 options:
Class A
Class B
1.
According to the range for each set of scores, ____________ has a larger spread of scores.
2.
According to the interquartile range for each set of scores, ____________ has a larger spread of scores.
According to the range for each set of scores, Class A has a larger spread of scores. According to the interquartile range for each set of scores, Class B has a larger spread of scores.
Describe Interquartile Range?In statistics, the interquartile range (IQR) is a measure of variability that represents the spread of the middle 50% of a dataset. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Quartiles divide a dataset into four equal parts, with the first quartile representing the 25th percentile and the third quartile representing the 75th percentile.
The interquartile range is useful because it is less sensitive to outliers than the range, which is calculated by subtracting the minimum value from the maximum value. Outliers are extreme values that are significantly different from the other values in the dataset and can skew the results of statistical analyses.
According to the range for each set of scores, Class A has a larger spread of scores.According to the interquartile range for each set of scores, Class B has a larger spread of scores.To know more about Outliers visit:
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HELPPP! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden
is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the
length and width in the drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual garden? Show your work.
(c) What is the effect on the perimeter of the garden with the dimensions are multiplied by 35?
Show your work.
a highway has at least one rest stop every 25 miles. Write solve and graph an inequality to represent the number of rest stops in the first 200 miles of the highway.
In a linear equation, The number of rest stops in the first 200 miles would be 8 or more.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
25x > 200
25 25
x > 8
The number of rest stops in the first 200 miles would be 8 or more.
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You are taking a survey to determine the most popular pizza ordered at the local pizza shop. Which of the examples below will give a random sample of the population? Select all that apply. A) Watching people order pizza one night each week for a month B) Asking your friend what his favorite pizza is C) Having 50 customers rate their favorite pizza as they order D) Asking 5 people at the pizza shop what they ordered Hint Video This feature does not work with a screen reader. Please use shapes, lines, or other tools available below to annotate the page. Pressing enter on this button enables or disables the feature. Pen Tools Answer checkboxes A
Answer:
AStep-by-step explanation:
It is A because people will order what they want.B will not be a random sample because it is your friend, not a random person.
C a customer may be ordering another pizza that is not their favorite.
D Five is not enough and you may be bias (Ex: You need to ask 1 more person and there are 2 people: one with a dog, and one without. Let's say you like dogs, than you may go to the dog person more likely)
Josh wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Josh can pay $35 per month, plus $2 for each group class he attends. Alternately, he can get the second membership plan and pay $34 per month plus $3 per class. If Josh attends a certain number of classes in a month, the two membership plans end up costing the same total amount. What is that total amount? How many classes per month is that?
Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.
What makes up a number's fundamental unit?In mathematics, the first 10 integers are referred to as the fundamental numbers. From 0 to 9, these foundational numbers are listed. The 0 to 9 range of basic integers includes 0 through 1, 2, 3, 4, 5, 6, 7 and 8.
Let's start by defining some variables. Let:
x be the number of group classes Josh attends per monthT1 be the total cost of the first membership plan (which charges $35 per month, plus $2 for each class)T2 be the total cost of the second membership plan (which charges $34 per month, plus $3 for each class)We can write the equations for the total cost of each plan as:
T1 = 35 + 2x
T2 = 34 + 3x
Since we know that the two plans end up costing the same total amount when Josh attends a certain number of classes in a month, we can set T1 equal to T2 and solve for x:
35 + 2x = 34 + 3x
35 = 34 + x
1 = x
So if Josh attends 1 group class per month, the two membership plans will cost the same total amount. Let's substitute x = 1 into our equations for T1 and T2 to find out what that total amount is:
T1 = 35 + 2(1) = 37
T2 = 34 + 3(1) = 37
Therefore, if Josh attends 1 group class per month, both membership plans will cost him a total of $37 per month.
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reduce 42/84 what is the answer
Answer:
1/2
Step-by-step explanation:
42/84=1/2
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate
T.
P = $2300, A = $2762, t = 6 months
The loan's simple interest is %.
***
Based on the information provided, it can be concluded the loan's simple interest is 4.01%.
What is the loan's simple interest?The simple interest is the difference between the future value of the loan and the loan amount.
Simple interest = future value - loan amount $2762 - $2300 = $462
The simple interest rate is a linear function of the loan amount, the interest rate, and the duration of the loan. The simple interest that is paid is the same each year for each period of the duration of the loan.
Simple interest = loan amount x time x interest rate
Interest rate = simple interest / (loan amount x time) = 462 ÷ (6/12 x 2300) = 0.401= 4.01%
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Give an example of data that would show direct and positive correlation explain in one to two sentences the data and why it’s direct and positive correlation
The relationship between hours worked and income earned is an example of data that shows a direct and positive correlation. As the number of hours worked increases, so does the amount of money earned. This is a direct correlation because the variables (hours worked and earnings) are positively related; as one variable rises, so does the other. The correlation is positive because the relationship between the variables is directional, i.e., as one variable increases, so does the other.
Answer:
Step-by-step explanation:
An example of data that would show direct and positive correlation is the relationship between the number of hours studied for an exam and the grade received on the exam. As the number of hours studied increases, the grade received on the exam also increases, indicating a direct and positive correlation between the two variables.
40. Social Security Numbers
A Social Security number is used to identify each resident of the United States uniquely. The number is of the form xxx-xx-xxxx, where each x is a digit
from 0 to 9.
(a) How many Social Security numbers can be formed?
(b) What is the probability of correctly guessing the Social
Security number of the president of the United States?
There are 10⁹(1 billion) possible Social Security numbers that can be formed. The probability of correctly guessing the Social Security number of the president of the United States is practically zero. This is because there are so many possible combinations, and it is highly unlikely that anyone would guess the correct number.
What is number?Number is a mathematical object used to count, measure, and label. It is used to express amounts, or magnitude of a quantity. Numbers are used in almost every field of life, such as science, engineering, economics, finance, and many other areas. Numbers are used in a wide range of contexts and are essential to modern life. They are used to communicate information, to measure time, and to represent values. Furthermore, numbers are used to represent abstract ideas, such as the probability of an event occurring. Numbers are also used to create patterns, which are essential to understanding complex systems. Without numbers, it would be impossible to measure anything, make estimates, or draw conclusions.
(a) There are a total of 10^9 (1 billion) possible Social Security numbers. This is calculated by multiplying the 10 possible digits (0-9) for each of the nine positions in the number, which gives 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10⁹.
(b) The probability of correctly guessing the Social Security number of the president of the United States is 1 in 10⁹. This is because there are a total of 10^9 possible Social Security numbers, and the president's number is only one of those.
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Can you please help on this question
Answer: It would be 10.5
Step-by-step explanation:
You are inputting R or radius into question the radius is given to you which is 10.5
Which of the following expressions is equivalent to 3^2x − 3?
Answer:
3(3x−1)
Step-by-step explanation:
How do you solve this
Answer:
y= -2
X= 7
[tex]using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2[/tex]
11.
Jolie’s time at work increases from 25 hours per week to 30 hours per week. By what percentage did the time at work per week increase?
Show your mathematical calculations below. Describe how you determined the percentage that Jolie's time at work increased.
Jolie's working time increased by 20 %
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Jolie’s time at work increases from 25 hours per week to 30 hours per week, we need to find that by what percentage did the time at work per week increase,
Using the concept of percentage,
Initial working hours = 25 hours per week
Final working hours = 30 hours per week
Increased hour = 30 - 25 = 5 hours
Percentage increased = 5 / 25 x 100 = 20%
Hence, Jolie's working time increased by 20 %
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Find the minimum sample size n needed to estimate μ for the given values of c, σ, and E.
c = 0.95, σ = 9.1, E = 1
Answer:
The formula to calculate the minimum sample size required to estimate the population mean is given as:
n = (z^2 * σ^2) / E^2
Where,
z = the z-value for the given confidence level, which is 1.96 for c = 0.95
σ = the population standard deviation
E = the maximum error of estimate, also known as the margin of error
Plugging in the values, we get:
n = (1.96^2 * 9.1^2) / 1^2
n = 301.63
Rounding up to the nearest whole number, the minimum sample size required is 302.
Therefore, a sample size of at least 302 is needed to estimate the population mean with a 95% confidence level, assuming a population standard deviation of 9.1 and a maximum error of estimate of 1.
Step-by-step explanation:
Can you help me with this problem??
a) The finance charge for the financing of the company airplane priced at $250,000 with 15% down payment is $66,308.
b) The monthly payments Vista's aircraft loan are $4,646.80.
How are the finance charge and monthly payments computed?The finance charge and the monthly payments can be determined using an online finance calculator as follows:
The finance charge represents the total interest and other fees that the financier charges for the loan.
The monthly payments are the periodic payments that must be made to settle the loan and compounded interest with the installment period of 60 months.
Company Airplane Price = $250,000
Down Payment = 15%
Loan Term = 60 months (5 years x 12)
Interest Rate = 11.25%
Results:
Monthly Payment (PMT): $4,646.80
House Price = $250,000
Down Payment = $37,500 ($250,000 X 15%)
Loan Amount = $212,500 ($250,000 - $37,500)
Total of 60 Mortgage Payments = $278,808
Total Interest (Finance Charge) = $66,308 ($278,808 - $212,500)
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3x^2+42x+72 Student 1 Student 2 (X+2)(x+12). 3(x+2)(x+12) Which answer is the correct answer? What was wrong with that is incorrect? Explain what they did wrong. What important note can you make about factoring that you’ve learned from mistakes made on this problem?
Answer:
3(x + 12)(x + 2)
Step-by-step explanation:
Given
3x² + 42x + 72 ← factor out 3 from each term
= 3(x² + 14x + 24) ← factor the quadratic
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term.
The factors are + 12 and + 2, since
12 × 2 = 24 and 12 + 2 = 14, thus
x² + 14x + 24 = (x + 12)(x + 2) and
3x² + 42x + 72
= 3(x + 12)(x + 2) ← in factored form
'Paraphrasing'
Original: Scientists are quick to state that the presence of these organic molecules is not sufficient evidence for ancient life on Mars, as the molecules could have been formed by non-living processes.
A- Scientists cannot agree whether the discovery of organic material on Mars is proof that creatures lived on Mars or not in the past.
B- Scientists quickly say that the existence of these organic materials is not sufficient proof for ancient life on Mars, as the molecules could have been formed by other non-living methods.
C- Scientists claim life on Mars was not possible, and that natural processes are responsible for discovering any organic molecules.
D- Science experts are not strongly convinced that the discovery of organic materials on Mars is proof that living creatures existed before on Mars. It is possible the organic matter was created naturally due to different natural causes.
The presence of these organic elements, according to scientists, is insufficient evidence for the existence of ancient life on Mars since the molecules been created via other non-living processes. This assertion true.
What kinds of things are organic materials?Everything that includes carbon compounds produced by living things is considered to be organic matter. Lawn trimmings, leaves, twigs, branches, moss, algae, lichens, any animal parts, sewage, dust, insects, earthworms, and bacteria are just a few examples of what it includes.
Which three categories best describe organic materials?Carbohydrates, lipids, protein, and nucleic acids are the four main kinds of organic substances that are found in all living organisms.
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Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra
The correct students are Nico, Aditi, and Erick.
What is equation?
An equation is a formula that uses the equals sign to connect two expressions to show that they are equal.
The correct approaches to solving the equation are those that lead to the correct solution. We can check which students are correct by solving the equation and seeing if their approach leads to the correct answer.
Two-fifths (5 + x) = 8
Multiplying both sides by 5 gives:
5/5 * two-fifths (5 + x) = 5/5 * 8
One-fifth (5 + x) = 8/5
One-fifth (5) + One-fifth x = 8/5
1 + One-fifth x = 8/5
Subtracting 1 from both sides gives:
One-fifth x = 3/5
Multiplying both sides by 5 gives:
x = 3
So the solution is x = 3.
From the given approaches, Nico, Aditi, and Erick are correct. Their approaches are equivalent to the correct approach:
Two-fifths (5 + x) = 8
(5/2) * two-fifths (5 + x) = (5/2) * 8
(5/2) * (5/5 + x/5) = 20/5
5/2 + (5/2)x/5 = 4
5/2 + x/2 = 4
x/2 = 3/2
x = 3
Raj and Sandra's approaches are not correct, as they made errors in their calculations. Therefore, the correct students are Nico, Aditi, and Erick.
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Describe an activity for Grade R to teach Subtraction that will accommodate each type of learning modality
Grade R learners can be best taught using hands-on experience, thus use physical beads or objects to practically teach subtraction.
How should learners in grade R be taught?A manipulatives-based project can be a fantastic method to teach subtraction to grade R students, who frequently learn best via hands-on experiences. This activity can be modified to accommodate students who learn better visually, aurally, or kinesthetically.
The activity that can be used to teach grade R learners to subtract is by using physical objects, and asking them to count the initial number.
Remove some items and recount them.
The objects removed will denote the subtraction.
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what is 1 inch longer than 7 3/4
Answer:
8 3/4
Step-by-step explanation:
1 + 7 3/4 = 8 3/4 bbbbbbbbbbbbbb
The height of this right circular cylinder is 3 feet and its base has a radius of 5 feet. What is the surface area of this cylinder in terms of π?
The surface area of this cylinder will be 80π ft².
What is Total surface area ?
Total surface area is the total area, which includes the curved portion and any bases. It refers to the entire surface area of the thing. The total area will be equal to the sum of the two areas if the shape has a curved base and surface.
Given : height of cylinder = 3 ft
radius of base of cylinder = 5 ft
We know that, Total surface area of cylinder = 2πrh + 2πr²
= 2πr(h+r)
So, The surface area of given cylinder = 2π × 5 ( 3+5)
= 10π (8)
= 80π ft²
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What does "things" refer to? Choose the word that completes the sentence.
The store was crammed with racks of used clothes. "How
pretty!" Mama said with a sigh as she stopped to examine
some silky scarves and beaded necklaces. "But we're here to
find things for you girls, not me."
"But we're here to find
for you girls, not me."
necklaces
clothes
racks
scarves
A square scarf has a side length of 34 yard on each side.
What is the area of the scarf?
Enter your answer in the boxes as a fraction in simplest form.
la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²
donc : Aécharpe=34²=1156
Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights, at various times, over a five week period. The graphs generated from this data are shown below.
C. During the observation period, period A's plant grew twice as quickly as period B's.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.
Given, Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights
from the graph. at the start of the observation period, Period A's plant was as tall as Period B's. So, A and B are wrong.
during the observation period, Period A's plant grew twice as quickly as Period B's.
C is right, and D is wrong
So, the answer is C.
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Complete question:
Emmy watson is buying a new oven for 915.00. She made a down payment of 20% and financed the remainder. How much did she finance
Answer:
$732.00
Step-by-step explanation:
Down payment 20% of 915.00
20% = 0.2
915 x 0.2 = $183.00
Down payment = $183.00
Financed the remainder:
915.00 - 183.00 = $732.00
So, she finance $732.00
In a different plan for area codes,the first digit could be any number from 3 through 7, the second digit was either 6,7,or8, and the third digit could be any number except 6 or 7. With this plan, how many different area codes are possible?
Answer:
Step-by-step explanation:
According to the given plan for area codes, the first digit can be any number from 3 through 7, the second digit can be 6, 7, or 8, and the third digit can be any number except 6 or 7.
There are 5 possible choices for the first digit (3, 4, 5, 6, or 7), 3 possible choices for the second digit (6, 7, or 8), and 8 possible choices for the third digit (0, 1, 2, 4, 5, 8, 9). This is because there are 10 possible digits in total, but we cannot use 6 or 7 for the third digit.
Using the multiplication principle of counting, we can multiply these choices together to find the total number of possible area codes:
5 x 3 x 8 = 120
Therefore, there are 120 different area codes possible with this plan.
Jose receives a dividend of $1.36 on each of his 398 shares. How many shares can he buy at $15.88?
Answer:
Jose can buy 0.086 shares at $15.88 with his dividend of $1.36 on each of his 398 shares.
Step-by-step explanation: