Evita is solving the system of equations shown using the elimination method. first equation: 3x+8y=20 second equation: 5x−2y=4 what operation will eliminate one of the variables?

a. multiply the first equation by 2

b. multiply the first equation by 4

c and multiply the second equation by 2

d. multiply the second equation by 4

Answer:

-1.2

Step-by-step explanation:

Answer:

C=1.6b

Step-by-step explanation:

X represents the price of each book

8=5x

Divide both side by 5

X=1.6

C=1.6b

Answer:

this means there is no answer to the problem

Step-by-step explanation:

The given statement "The chi-square distribution is used to perform tests for the population variance but not the standard." is generally true, but it depends on the degree of non-normality of the data and the sample size.

The chi-square test for variance is a hypothesis test that compares the variance of a sample to a known or hypothesized value. The test statistic is calculated as follows:

χ² = (n - 1)s² / σ²

Where χ² is the test statistic, n is the sample size, s² is the sample variance, and σ² is the hypothesized population variance. The test compares the value of χ² to a chi-square distribution with (n - 1) degrees of freedom.

However, if the sample size is large enough, the central limit theorem states that the sample mean will be normally distributed, regardless of the underlying distribution of the data.

The minimum sample size required for the chi-square test to be valid depends on the degree of non-normality of the data.

As a general rule, a sample size of at least 20 is recommended for the chi-square test to be valid for non-normal data.

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Complete Question:

True or false; The chi-square distribution is used to perform tests for the population variance but not the standard.

Answer: True

Step-by-step explanation:

In a Poisson distribution, the mean and variance are both equal to λ, where λ is the parameter that represents the average number of occurrences in a fixed interval of time or space. The probability mass function of a Poisson distribution is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable that represents the number of occurrences, k is a non-negative integer, e is the base of the natural logarithm, and k! is the factorial of k.

The mean of a Poisson distribution is given by:

E(X) = λ

and the variance is given by:

Var(X) = λ

Since the mean and variance are equal, it follows that:

E(X) = Var(X) = λ

a. f(x) is negative on the interval (1, 5) and positive on the intervals (-∞, -1) and (5, 6). b. the endpoints of the given intervals or any critical points would be needed to determine the presence and location of an absolute maximum.

(a) Here is a possible sketch of the graph of the function f based on the given information:

                            |  

                            |  

                            |  

                            |  

         ____________       |       ____________

                            |  

                            |  

                            |  

                            |  

__________________________|__________________________

   -1          1           5           6

In this sketch, we know that the limit of f(x) as x approaches 1 and 5 is -2. The derivative f'(3) is 0. We also know that f(x) is negative on the interval (1, 5) and positive on the intervals (-∞, -1) and (5, 6).

(b) From the given information, we cannot definitively determine whether f has an absolute maximum. The information provided gives us some insights into the behavior of the function, but it does not provide enough details to determine if there is an absolute maximum and where it occurs. Additional information such as the behavior of the function at the endpoints of the given intervals or any critical points would be needed to determine the presence and location of an absolute maximum.

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Answer:

c−12!

Step-by-step explanation:

Use Cymath on g0ogle for other math questions so you don't waste your points!

Answer:

=c - 12

Step-by-step explanation:

Answer:

The length of rectangle A is 12 in

36 / 3 = 12

Hope this helps.

Answer:

36 itdb36 i think ye sit is

Step-by-step explanation:

Answer:

Step-by-step explanation:

This situation can be represented by a linear function since it has a constant rate of change, linear functions are represented by the following equation:

To determine the rate of change of the function, we can use the following expression:

We have the following given points: (0,5) and (1,8):

The y-intercept is where the functions cross the y-axis, which means x=0.

In the table, we can see that the y-intercept of this function would be 5.

Therefore, the equation that represents this relationship between cost, c, and the number of hours h:

No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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As we have proved that the Fourier transform F(ω), with the only difference being the sign of ω

Firstly, let us recall what the Fourier transform is. It is a mathematical technique that decomposes a function into its frequency components. The Fourier transform is defined as:

F(ω) = ∫ f(t) \(e^{(-iwt)}\)dt

where f(t) is the function being transformed, ω is the frequency, i is the imaginary unit, and e^(-iωt) is a complex exponential function. The inverse Fourier transform is defined as:

f(t) = (1/2π) ∫ F(ω) \(e^{(iwt)}\) dω

where F(ω) is the Fourier transform of f(t).

Now, let's move on to the symmetry properties of the Fourier transform.

If f(t) is an even function, meaning f(-t) = f(t), then F(ω) is also even, meaning F(-ω) = F(ω).

To prove this, we start with the definition of the Fourier transform and substitute -t for t:

F(-ω) = ∫ f(-t)\(e^{(iwt)}\) dt

Then, using the even symmetry of f(t), we can replace f(-t) with f(t):

F(-ω) = ∫ f(t) \(e^{(iwt)}\) dt

Therefore, F(-ω) = F(ω) if f(t) is even.

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The mean absolute deviation of highway fuel economy of various popular vehicles is 4.9

Find the mean of the data set

= (38 + 48 + 25 + 35 + 33 + 37 + 32 + 34 + 23 + 30) / 10

= 335 / 10

= 33.5

Mean deviation of each set;

38 - 33.5 = 4.5

48 - 33.5 =14.5

25 - 33.5 = -8.5

35 - 33.5 = 1.5

33 - 33 .5 = -0.5

37 - 33.5 = 3.5

32 - 33.5 = -1.5

34 - 33.5 = 0.5

23 - 33.5 = -10.5

30 - 33.5 = -3.5

Absolute deviation of each value

|4.5| = 4.5

|14.5| = 14.5

|8.5| = 8.5

|1.5| = 1.5

|-0.5| = 0.5

|3.5| = 3.5

|-1.5| = 1.5

|0.5| = 0.5

|-10.5| = 10.5

|-3.5| = 3.5

Total absolute deviation = 4.5 + 14.5 + 8.5 + 1.5 + 0.5 + 3.5 + 1.5 + 0.5 + 10.5 + 3.5

= 49

Mean absolute deviation = Total absolute deviation / mean

= 49/10

= 4.9

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Answer:

(-3,-4)

Explanation:

Given the system of equations:

Substitute equation (1) into equation (2):

Solve the resulting equation for x:

Using equation (1), solve for y:

The solution to the system of linear equation is (x,y)=(-3,-4).

Answer:

y-int: (0, 5)

slope: -4

Hope this helps!

Step-by-step explanation:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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A subset of a population used by statisticians to make predictions about a population is called a sample.

a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.

A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.

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Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = \(\sqrt{676}\) = 26

Then

SA = πrl + πr²

      = (π × 10 × 26) + (π × 10²)

      = 260π + 100π

      = 360π in²

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

k = 77/10

Step-by-step explanation:

The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.

probability of blue marbles = 2/7

probability of red marbles = 3/k

probability of green marbles = 5/2k

The sum of the individual probability is equals to 1. Therefore,

2/7 + 3/k + 5/2k = 1

collect like terms

(6 + 5)/2k = 1 - 2/7

11/2k =(7 - 2) /7

11/2k = 5/7

cross multiply

10k = 77

divide both sides by 10

k = 77/10

The equation of the parabola of focus (-8, 10) and a directrix of y=-8, in vertex form, is:

(x + 8)² = 36(y - 1).

The equation of a parabola of vertex (h,k) is given as follows:

(x - h)² = 4p(y - k).

The directrix and the focus are defined as follows:

The focus is at (-8, 10), hence:

The directrix is at y = -8, hence:

k - p = -8.

Then the system of equations is to determine coefficients k and p are given as follows:

Adding the two equations, the value of k is given as follows:

2k = 2

k = 1.

Hence the value of p is:

p = 10 - k = 10 - 1 = 9.

Then the equation is given as follows:

(x - h)² = 4p(y - k).

(x + 8)² = 36(y - 1).

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Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

According to the statement

We have given that the John and Peter, are running a 100-meter race.

In the first race that they run John beats Peter by 5 meters. and the next time they race John stands 5 meters behind the starting line.

Here the both participant's speed remain same in both races.

So, We have to find that the If they run at the constant speed as the first race, who will win the second race

So, for this purpose

According to the statement

in first race john beats the peter and wins the race and if they start the second race with the same speed then it is clear that the second time john won the race.

So, Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

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Answer:

78.5 cm. cubed

Step-by-step explanation:

Answer:

60 cm cubed

Step-by-step explanation:

Answer:

A. Yes (True) B. Yes (True)

Step-by-step explanation:

The first some is true because the square root of 50 is between 6 and 7, which IS greater than 5

The second one is false because the square root of 3 is between 1 and 2, which which could be some of the a+v side of the triangle.

Hope this helped

Given the credit card options:

• Chase Sapphire Reserve

• Wells Fargo Propel Card

• American Express Blue Cash Everyday

• Citi Double Cash Card

• Chase Freedom

• Chase Amazon Prime Rewards Card

• Bank of America Cash Rewards Visa

• American Express Platinum

Then, there are 8 options.

If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.

The formula for combination of r elements out n elements is:

In this question:

n = 8

r = 3

Answer: 56 ways.

The count of letter f (any case) in ' if fred is from a part of france, then of course fred's french is good', is 8.

A word, phrase, or sentence in which no letter of the alphabet appears more than once is known as a heterogram (from the prefix hetero-, meaning "different," and the suffix -gram, meaning "written"). The same idea has also been denoted by the phrases isogram and nonpattern word.

Language on Vacation: An Olio of Orthographical Oddities, written by Dmitri Borgmann in 1965, mentions the idea, however he refers to it as an isogram. Borgmann asserts that he "introduced" the term "isogram" in a 1985 essay. Although he uses the term "isogram" in the paper itself, he also offers the name "asogram" to prevent confusion with lines of constant value like contour lines.

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Answer:

540

Step-by-step explanation:

square 3 twice then 3 10 and square your answer.

the answer you get,×

w = 0.5 m

A = l × w

50m² = 100m × w

w = 50m²/100m

w = 0.5 m

Answer:

The answer is 0.5 m i.e Width = 0.5 m

Step-by-step explanation:

Given,

Area (A) = \(50m^{2}\)

length (l) =100 m

width ( b ) = ?

Now,

 A = l * b

or, 50 = 100 * b

or, \(\frac{50}{100}\)= b

or, b = 0.5 m

Answer:

(5x-23)° + (7x-1)° = 180°

5x-23 + 7x-1 = 180

12x - 24 = 180

12x = 204

x = 17

.°. (5x-23)° = 62°

& (7x-1)° = 118°