The slope is 9, and the y-intercept is 2.
What is a linear function?
Two distinct but related concepts are referred to by the phrase "linear function": A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Here, we have
Given: equation y = 9x - 2
we have to find the slope and the y-intercept of the linear function.
y = 9x - 2
y = 9x + (-2)
This is in the form of y = mx + c, where m is the slope and c is the y-intercept.
Hence, The slope is 9
y-intercept means where the equation cuts the y-axis. We know that in the y-axis, the value of x is 0. So, we put x = 0 in the equation to find the y-intercept.
y = 9x + (-2)
y = 9×0 - 2
y = -2
Hence, the y-intercept is -2.
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Calculate the mean deviation from median and hence calculate its coefficient. 40, 45, 54, 60, 62
Answer:
Median: 54
hence calculate its coefficient
0,18
entify the sampling technique. a gardener wanted to check how his tomato plants were developing. he randomly chose 2 of his 20 plants and inspected the selected plants.
The sampling technique used in this scenario is simple random sampling.
Determine the simple random sample?Simple random sampling involves randomly selecting a subset of elements from a population in such a way that every element has an equal chance of being chosen.
In this case, the gardener randomly chose 2 plants from a total of 20 plants. By randomly selecting the plants, the gardener ensured that each plant had an equal probability of being included in the sample.
Simple random sampling is a common and straightforward technique used to obtain a representative sample from a larger population. It helps minimize bias and allows for generalization of the findings from the sample to the entire population.
By inspecting the randomly selected plants, the gardener can make inferences about the development of the tomato plants as a whole, assuming that the selected plants are representative of the entire population of tomato plants.
Therefore, the gardener utilized a simple random sampling technique by randomly selecting and inspecting two out of twenty tomato plants to assess their development.
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how to simplifying i^22
can some please help me
Answer:
\(-1\\\)
Answer:
-1
Step-by-step explanation:
:)
Which table represents a linear function?
Answer:
THE LAST TABLE HOPE THIS HELPS:)
The bakers at Healthy Bakery can make 260 bagels in 5 hours. How many
bagels can they bake in 14 hours? What was that rate per hour?
14/5 = 2.8
260 * 2.8 = 728
In 14 hours the bakers can make 728 bagels
50 POINTS!!! In the figure, AC and BD bisect each other. The length of AB is 12 centimeters and the length of BC is 11 centimeters.
The length of AD is __ centimeters and the length of DC is __ centimeters.
1st blank options:
11
12
23
1
2nd blank options:
11
12
23
1
Answer:
First blank: 11 Second blank: 12
Step-by-step explanation:
Since this is a parallelogram AB is parallel to DC and AD is parallel to BC.
Another thing the image includes is the lengths from the points, the opposing points have equal distances from the midpoint.
Answer:
A. 11
B. 12
Step-by-step explanation:
The length AD of is 11 centimeters and the length of DC is 12 centimeters.
Correct for plato
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers to 21
Answer:
The set of real numbers is all numbers that can be shown on a number line. ... It also includes rational numbers, which are numbers that can be written as a ratio of two integers, and irrational numbers, which cannot be written as a the ratio of two integers.
what are all the possible ratios that can be made out of 32:56
5.7.PS-7
Solve the inequality. Then graph the solutions on a number line.
6< - 3(2x-6)
A. X≥
• B. X >
O C. X <
O D. XS
the answer is a x equal to or greater than
Which of the following is NOT an advantage of bottom-up beta compared to regression beta?
1) Bottom-up beta is more precise than regression beta (less estimation noise)
2) Bottom-up beta is easier to estimate than regression beta
3) Bottom-up beta is based on fundamentals
4) Bottom-up beta can be used to estimate segment betas
Bottom-up beta is a cost-effective and flexible model that is used to estimate segment betas. There are numerous benefits of using bottom-up beta when compared to regression beta. The only disadvantage of using bottom-up beta is that it is prone to estimation errors, which may result in beta being underestimated or overestimated.
In this context, beta is a measure of systematic risk associated with an individual security or a portfolio relative to the market. Bottom-up beta is calculated by analyzing the beta of comparable firms within the same industry. This involves the use of peer-group analysis to estimate a beta that is specific to a firm's business operations and financial structure.The following are the advantages of bottom-up beta compared to regression beta:More accurate - Bottom-up beta is more precise when compared to regression beta. This is because regression beta is calculated using historical data, which may not be an accurate reflection of a firm's current business operations and financial structure.Increased transparency - Bottom-up beta is more transparent compared to regression beta. This is because it is based on publicly available financial data, which can be easily accessed by investors and analysts.Cost-effective - Bottom-up beta is less expensive to use when compared to regression beta. This is because it does not require the use of specialized software, which can be costly to acquire and maintain.Segment betas estimation - Bottom-up beta can be used to estimate segment betas, which allows investors and analysts to better understand the systematic risk associated with a specific segment of the market.For such more question on Segment
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uble-triple numbers are 6-digit numbers that are formed by repeating a 3-digit number. examples of double-triple numbers are 265265 and 345345. what is the greatest common divisor of all such numbers?
The greatest common divisor (GCD) of all double-triple numbers can be determined by examining the repeating 3-digit number that forms these numbers. Let's call this 3-digit number "abc."
To find the GCD, we need to consider the prime factorization of "abc." Since "abc" is a 3-digit number, it can be written as:
abc = 100a + 10b + c
The prime factorization of "abc" depends on the values of a, b, and c. To determine the GCD, we need to find the common prime factors among all possible values of "abc."
Since there are infinitely many possible values of "abc," there is no specific GCD that applies to all double-triple numbers. The GCD would depend on the specific values of a, b, and c in each case.
However, we can note that any double-triple number will always be divisible by its repeating 3-digit number "abc." Therefore, "abc" itself would be a common divisor for all double-triple numbers.
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Last month, Claire's bank statement said that she overdrew her account. Her bank balance was -45. 32−45. 32minus, 45, point, 32 euros. This month, Claire's bank balance is 17. 9217. 9217, point, 92 euros. What does this mean?
Choose 1 answer:
Choose 1 answer:
Claire's bank balance being -45.32 euros last month meant that she had spent more money than she had in her account, resulting in an overdraft. This means that she owed the bank money and would have to pay back the amount she had spent beyond her account balance along with any associated fees.
However, this month, Claire's bank balance has increased to 17.92 euros. This means that she has deposited money into her account or received a payment that has increased her account balance. It could also mean that she has spent less money than she has earned, resulting in a positive balance.
Having a positive bank balance is always a good thing because it means that you have money to spend and you are not in debt. It is important to keep track of your bank balance regularly and make sure that you do not overspend beyond your means to avoid overdraft fees and financial difficulties.
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pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
s. an official from the ohio department of education claims that, in recent years, 3% of ohio high school seniors drop out. last year, podunk high school had 30 dropouts from their total enrollment of 600 students. is there sufficient evidence to conclude that the dropout rate at this school is different from the state level?
As the percentages of dropouts are different there is sufficient evidence that the dropout rate at this school is different from the state level.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, In recent years, 3% of Ohio high school seniors drop out last year.
On the other hand Podunk, high school had 30 dropouts from their total enrollment of 600 students which is,
= (30/600)×100%.
= 5%.
So, there is sufficient evidence that the dropout rate at this school is different from the state level.
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Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 7, negative 6). What is the conjugate of z?
The conjugate is -7+6i. The correct option is third.
What is conjugate?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Given:
On a coordinate plane,
the y-axis is labeled imaginary and the x-axis is labeled real.
Point z is at (negative 7, negative 6).
Z(-7, -6)
So, the equation,
-7-6i
So, the conjugate of the equation is,
-7+6i
Therefore, -7+6i is the conjugate of the points.
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I need help asap!!!!!!!
Answer:
Step-by-step explanation:
An angle is defined as the space between two rays that emanate from a common point. True or false
True, there are some undefined terms like line, point angle, distance between two points .
Which definition of angle is the best?
The figure in which two rays intersect at the vertex, or common point, is referred to as an angle. The symbol "∠" is used to represent the angle.How does Euclid define angle?
A plane angle is the inclination toward one another of two intersecting, non-straight lines in the plane.
True, there are some undefined terms like line, point angle, distance between two points .
we intuitively know about the angle but can not give mathematical definition .
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Answer this question
14 5/6 - 1 1/2
Answer:
13 1/3
Step-by-step explanation:
1 1/2= 1 3/6
subtraction
13 2/6 equals 13 1/3
Answer: 13 1/3
Step-by-step explanation:
Find the LCM of the denominator for both fractions
LCM of 2 and 6 = 6
14 5/6 × 1 = 14 5/6
1 1/2 × 3 = 1 3/6
14 5/6 - 1 3/6
14 - 1 = 13
5/6 - 3/6 = 2/6
14 5/6 - 1 3/6 = 13 2/6
Simplify
14 5/6 - 1 1/2 = 13 1/3
Hope I helped!
suppose the die is tossed and we are told that the result is a number greater than 4 4 . based on this information, what is the probability that the result was a 6 6 ?
The probability that the result was a 6 is P(A)=1/3 the die is tossed and we are told that a result is a number greater than 4.
A standard 6-sided die numbered 1 to 6 has 2 sides that meet the criterion of greater than 4, which are 5 and 6. So out of 6, there are 2 ways.
A die has 6 faces with the numbers 1,2,3,4,5 and 6 on each of the six faces. Now consider an unbiased die and the probability of any of the faces appearing in a single roll is 1/6.
So,
P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6
The numbers that are greater than 4 are 5 and 6
So it can be P(5) or P(6)=
P(5)+P(6)=2/6=1/3.
If you had stated at least a 4, then there are three chances which are to be 4,5,6 that meet the criterion, and the chance would be 3/6=1/2.
Hence, by the classical definition of probability, the probability of getting a number more than 4 in a single throw of a die is 1/3.
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Can Somebody Help With Geometry?
Answer:
SAS
Step-by-step explanation:
II side (given)
Angles between the congruent sides (vertically opposite angle)
III side (given)
Hence by, SAS the Triangles are congruent.
An elevator is designed with a load limit of 2000 lb. It claims a capacity of 10 persons. If the weights of all the people using the elevator are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, what is the probability that a group of 10 persons will exceed the load limit of the elevator
There is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.
To find the probability that a group of 10 persons will exceed the load limit of the elevator, we need to calculate the probability that the total weight of the group exceeds 2000 lb.
Since the weights of the people are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, we can use the properties of the normal distribution to solve this problem.
First, we need to calculate the mean and standard deviation of the total weight of the group. The mean of the total weight is simply the mean weight of a person multiplied by the number of persons, which is 185 lb * 10 = 1850 lb.
The standard deviation of the total weight is calculated by taking the square root of the sum of the variances of each person's weight. Since the weights are independent, the variance of the total weight is equal to the sum of the variances of each person's weight. So, the standard deviation of the total weight is sqrt(10) * 22 lb ≈ 69.296 lb.
Next, we can use the normal distribution to calculate the probability that the total weight exceeds 2000 lb. We standardize the value using the formula z = (x - mean) / standard deviation, where x is the threshold value of 2000 lb.
Calculating the z-score: z = (2000 - 1850) / 69.296 ≈ 1.81
Finally, we look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator to find the area under the curve to the right of the z-score. The probability that the group of 10 persons will exceed the load limit of the elevator is approximately 0.0351, or 3.51%.
Therefore, there is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.
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I had a meeting with Mercedes sales Manager and I told him I would like to order the GLA-AMG 35 Mercedes, he told me this car was designed for people of ages from 18 to 30 years.
the question talk about how to selling the Mercedes GLA AMG35
Mercedes-Benz is a luxury car manufacturer that has been producing high-end cars for many years. The GLA-AMG 35 is a sporty compact crossover that is perfect for people of all ages.
However, the sales manager suggested that it is designed for people between the ages of 18 to 30 years. Therefore, it's important to understand how to sell the GLA-AMG 35 to different age groups.
The first step in selling the GLA-AMG 35 is to understand the needs and preferences of the customer. If the customer is young, then they may be looking for a car that is sporty and stylish. They may also be interested in the latest technology and entertainment features. On the other hand, if the customer is older, they may be more interested in comfort and safety features.
In order to appeal to different age groups, it's important to highlight different features of the car. For younger customers, emphasize the sporty design and performance capabilities. For older customers, emphasize the safety features, such as blind spot assist and lane departure warning.
The GLA-AMG 35 is a luxury car that offers something for everyone. It's important to understand the target audience and tailor the sales pitch accordingly. If the customer is young, then they may be interested in the car's sporty features, such as the turbocharged engine and AMG sport suspension. They may also be interested in the car's advanced technology, such as the 10.25-inch touchscreen display and voice control.
On the other hand, if the customer is older, they may be more interested in the car's safety features, such as the adaptive cruise control and blind spot assist. They may also be interested in the car's comfort features, such as the heated seats and dual-zone automatic climate control.
The GLA-AMG 35 is a car that can appeal to people of all ages. It's important to understand the needs and preferences of the customer in order to tailor the sales pitch accordingly. Highlight the car's sporty features for younger customers, and emphasize the safety and comfort features for older customers. With the right approach, the GLA-AMG 35 can be a great success in the luxury car market.
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Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
D
Step-by-step explanation:
\((4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0\)
Hope this helps!
Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number Cube With Sides Labeled 1-6 And Then Rolling The Number Cube Again C.) Tossing A Coin 6 Times D.) Rolling A Number Cube With Sides Labeled 1-6 And Tossing A Coin
PLEASE HELP ME
x = 54
y = ?
Answer:
126
Step-by-step explanation:
180-54=126
how do I do this??????
you take 99 divided by 22 = 4.5
I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.
have a good day/night!! :)
Help with this please
Answer:
sin(θ) = (2/9)√14; csc(θ) = (9√14)/28cos(θ) = 5/9; sec(θ) = 9/5tan(θ) = (2/5)√14; cot(θ) = (5√14)/28Step-by-step explanation:
Given cos(θ) = 5/9, you want the six trig functions of θ.
IdentitiesThe relevant identities are ...
sin(θ) = ±√(1 -cos(θ)²)tan(θ) = sin(θ)/cos(θ)csc(θ) = 1/sin(θ)sec(θ) = 1/cos(θ)cot(θ) = 1/tan(θ)SineThe sine of θ is ...
sin(θ) = √(1 -(5/9)²) = √(81 -25)/9 = (√56)/9
sin(θ) = (2/9)√14
Then the cosecant is ...
csc(θ) = 1/sin(θ) = (9/2)/√14
csc(θ) = (9√14)/28
TangentThe tangent of θ is ...
tan(θ) = sin(θ)/cos(θ) = ((2/9)√14)/(5/9)
tan(θ) = (2/5)√14
Then the cotangent is ...
cot(θ) = 1/tan(θ) = (5/2)/√14
cot(θ) = (5√14)/28
SecantThe secant of θ is ...
sec(θ) = 1/cos(θ) = 1/(5/9)
sec(θ) = 9/5
The cosine is given in the problem statement.
simplify:
3 (2x + 6) + 5x
Given quadrilaterals--parallelograms, rectangles, rhombuses, and squares--which are equiangular and have opposite sides equal.
The square is the only quadrilateral that is equiangular and has opposite sides equal.
Among the given quadrilaterals, the square is the only one that satisfies all the conditions of being equiangular and having opposite sides equal. Let's discuss each quadrilateral in detail:
Parallelogram:
A parallelogram has opposite sides that are parallel and equal in length. However, it does not necessarily have equal angles. The opposite angles of a parallelogram are equal, but the adjacent angles may be different. Therefore, parallelograms are not equiangular.
Rectangle:
A rectangle is a special type of parallelogram where all angles are right angles (90 degrees). Opposite sides of a rectangle are equal, but the angles are not necessarily equal. Therefore, rectangles are not equiangular.
Rhombus:
A rhombus is a quadrilateral with all sides equal in length. It also has opposite angles equal, which means it is equiangular. However, the adjacent angles of a rhombus are not necessarily equal. Therefore, while a rhombus is equiangular, it does not satisfy the condition of having opposite sides equal.
Square:
A square is a special type of rectangle and rhombus. It has all angles equal to 90 degrees, making it equiangular. Additionally, all sides of a square are equal in length, satisfying the condition of having opposite sides equal. Therefore, a square is the only quadrilateral among the given options that is equiangular and has opposite sides equal.
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