Compare the y-intercepts for the two linear functions represented below.

X Y
-1 -1
0 1
1 3 y = 4x - 1
2 5
3 7
A.
The y-intercept of function A is same as the y-intercept of function B.
B.
The y-intercept of function A is greater than the y-intercept of function B.
C.
The y-intercept of function A is less than the y-intercept of function B.

The true statement regarding the negation of the statement "It is not the case that x is equal to 400" is given as follows:

x is equals to 400.

Hence the remaining statements are false.

The statement in this problem is given as follows:

"It is not the case that x is equal to 400".

The synonym, considering that the clause is "x is equals to 400", is given as follows:

"x is not equal to 400".

The negation of the statement is given as follows:

Not("x is not equal to 400").

Hence, in this case, we would have a double negation, which becomes and affirmation, and thus the negation of the statement is given as follows:

x is equals to 400.

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The four integers are -3, 8, -4, and 6.

i.e,

-3 x 8 = -24

-4 x 6 = -24

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

a x b = - 24

Where a and b are integers.

Now,

The factors of 24 are:

-1 x 24 = -24

-2 x 12 = -24

-3 x 8 = -24

-4 x 6 = -24

or

1 x -24 = -24

2 x -12 = -24

3 x -8 = -24

4 x -6 = -24

So,

The integers can be -1, -2, -3, -4, -24, -12, -8,  and -6.

Thus,

The four integers can be -3, 8, -4, and 6.

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The height of the cylinder is 3 and its base is a circular disk with radius 1.

The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.

The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.

A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.

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Answer:ab power of 5 c

Step-by-step explanation: bc it stayed

The correct answer is option b. The random variable in this experiment is the number of days out of 3 that Pete catches fish.

Pete's probability of catching fish on any given day is.8, and the number of days for which he is fishing is three. This experiment has no bearing on the number of fish in the water.

The mathematical discipline of the probability is concerned with numerical descriptions of the likelihood of an event or proposition being true. A number between 0 and 1 indicates the likelihood of an event, with 0 representing impossibility and 1 representing the certainty.

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Complete Question:

the probability pete will catch fish when he goes fishing is .8. pete is going fishing 3 days next week.

what is the random variable in this experiment?

a. the .8 probability of catching fish

b. the number of days out of 3 that peter catches fish

c. the 3 days

d. the number of fish in the body of water

The money available for saving is 3350.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Monthly earnings = 6500

Expenses:

Rent = 1650

Electricity = 300

Car payment = 1200

Total expenses.

= 1650 + 300 + 1200

= 3150

Now,

Remaining amount.

= Earnings - Total expenses

= 6500 - 3150

= 3350

Thus,

The money remaining is 3350.

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Yes, this sample provides a likely estimate of the population parameter. To calculate the sample proportion, we need to divide the sample size by the number of successes.

In this case, the sample proportion is the number of teenagers that received the MMR vaccination (116) divided by the total sample size (400). This produces a sample proportion of 0.29 or 29%. This is close to the population parameter of 33%, so it provides a likely estimate of the population parameter. This can also be demonstrated by calculating the 95% confidence interval of the sample proportion. Using the formula (P ± 1.96√((P)(1-P)/n)), where P is the sample proportion (29%), and n is the sample size (400), the 95% confidence interval is (25.2%, 32.8%). Since the population parameter (33%) falls within this interval, it provides a likely estimate of the population parameter.

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Answer:

Step-by-step explanation:

first plug in -21 as X

-21-3=-24

-24/4=-6

The formula for the area of a triangle is; Area = 125 units²

Using the concept of similar triangles, we can use the following proportion to fid x of the triangle;

20/x = x/5

Cross multiply to get;

x² = 100

x = √100

x = 10

The formula to find the area of a triangle is;

Area = ¹/₂ * base * height

Area = ¹/₂ * 25 * 10

Area = 125 units²

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Answer: -3(x-8)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

149 radians  x   180 degrees / radian =26 820 degrees

                                  (did you leave out a decimal point perhaps?)

The correct answer is - Yes we have two independent random samples and large sample size

Conditions for performing a two-sample

t-test: Random, Normal and Independent.

Random: Satisfied, because the samples have been given to be random samples.

Normal: Can be assumed to be satisfied, because the sample size of each sample is at least 30.

Independent: Satisfied. The random samples have been given to be separate and thus are independent. Moreover, the sample sizes are less than 10% of the population size.

Thus all three conditions have been satisfied and thus answer (e) is correct.

A t-take a look at is a statistical test that compares the method of  samples. it's far used in speculation trying out, with a null speculation that the distinction in institution manner is 0 and an change speculation that the distinction in institution manner isn't like zero

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Answer:

B = $5.15

Step-by-step explanation:

One way to solve this is by adding the whole numbers first, which gives you $4, and then adding the rest of the number, which is the decimal points, which gives you $1.15, then you add those two together, which gives you your answer of $5.15.

Answer:

B $5.15

Step-by-step explanation:

Add.

$2.35 + $1.15 + $1.65 = $5.15

Hope this helped!

There will be 8 intervals in the frequency distribution table with a class width of 5. The first confidence interval will start at 25 and the last interval will end at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50.

When creating a frequency distribution table, the number of intervals and the class width are important factors to consider. The class width is the range of each interval, while the number of intervals is determined by the total range of the data and the desired class width. In this case, the data range from 25-50, and the desired class width is 5. To calculate the number of intervals, the data range is divided by the class width. In this case, (50-25)/5 = 8. Therefore, there will be 8 intervals in the frequency distribution table, with the first interval starting at 25 and the last interval ending at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50. This frequency distribution table will provide a visual representation of the data, making it easier to analyze the data and draw conclusions.

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Answer:

see below

Step-by-step explanation:

12/14 = 6/7 = 18/21

so w = 21

The number of terms in this arithmetic series is equal to 20.

The last term of this arithmetic series is equal to 79.

Mathematically, the sum of an arithmetic sequence is calculated by using this expression:

Sn = n/2(2a₁ + (n - 1)d)

Where:

Substituting the given parameters into the sum of an arithmetic sequence formula, we have the following;

820 = n/2(2(3) + (n - 1)4)

820 = n/2(6 + 4n - 4)

1,640 = n(2 + 4n)

1,640 = 2n + 4n²

820 = n + 2n²

2n² + n - 820 = 0

By solving the quadratic equation using the quadratic formula, we have:

x = 20 or x = -20.5

For the last term, we would use the following formula:

aₙ =  a₁ + (n - 1)d

a₂₀ =  3 + (20 - 1)4

a₂₀ =  3 + (19)4

a₂₀ = 79.

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Complete Question:

The first term of an arithmetic series is 3, the common difference is 4 and the sum of all the terms is 820. Find the number of terms and the last term.

B. Function f has exactly two complex solutions.

The graph of the quadratic function is an equation of the variable that has the highest power of two. This function is related to quadratic equations. The general form of the quadratic equation is, a² + bx + c = 0.

The graph of the quadratic function in mathematics is characterized by f(x) = y which is the dependent variable, x is the independent variable, while a and b are coefficients called quadratic equations, which are quadratic equations, have a variable with the highest power of two and are in the form of an equation .

The general form of the quadratic equation is: where x is the independent variable, a and b are the coefficients, and c is a constant. A function is closely related to the graph of the function. So do quadratic functions, which have their own function graphs.

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Answer: There is no answer.

Step-by-step explanation:

The closest answer is 0 but there is no answer since -1 would equal 2.

Answer: 38 and 24

Step-by-step explanation:

Hope this helps.

the probability that the distance between two randomly chosen points in a circle is less than the radius 1/3

Put the first point (P) somewhere on the circle (center O) - all the points are the same so it doesn’t matter where.

The other point (Q) will be somewhere on the circumference - length  2πr

It’s not clear if you want to measure distance around the circle or along a straight line.

If you measure around the circle, then there is an acceptable distance  r

 on either side of P and the probability is  2r/2πr=1/π

If you measure in a straight line, then Q can be a maximum distance r

 from P and OPQ is an equilateral triangle. We therefore have  60∘

 on each side of P and the probability is 120∘/360∘=1/3

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According to the information provided, statistics A seems to be an unbiased estimator of the population parameter.

Statistic A is the objective estimator of the population parameter, it should be emphasized. This is as a result of its 75 population parameter being its focal point. Statistic A would provide a more accurate estimate of the population parameter. This is due to the sample mean being 75, which is also the population mean. Given that statistic D is equal to the population means, it would serve as a more accurate estimate of the population parameter. The final point to make is that statistic C has no distribution shape.

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The possible values for the given series, the interval notation will be calculated as follows:

Sn is the sum of a geometric series, and a1/(1-r).

R = x a1 = 4 in this mathematical sequence.

If you want the sum to be higher than 8, enter:.

r cannot equal 1 (the equation would have 0 in the denominator) and it cannot be GREATER than one. 8 1/2 Interval notation: (1/2, 1). We must limit it to 1. as the series becomes divergent and lacks a sum if it does.

Interval arithmetic is a general numerical computing technique that automatically generates guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff. Intervals are at the center of this technique.

The definition of intervals also applies to arbitrary totally ordered sets, such as integers or rational numbers. In the special section that follows, the notation of integer intervals is discussed.

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Note that the full question is:

The value of the series 4+4x+4x^2+4x^3... is a real number greater than 8. Find all possible values of x, giving your answer in interval notation.

Find  1+ 1/2+1/6+1/12 , where we alternately multiply by 1/2 and 1/3 to get the next term.

In a certain infinite geometric series, the first term is 1, and each term is equal to the sum of the two terms after it. (For example, the first term is equal to the sum of the second term and third term). If s is the sum of the series and r is the common ratio, find s - r.

The correct option: b. Reaction times were the longest when people had to read words presented in colored ink.

A seemingly unimportant phenomena called the Stroop effect explains a great deal about how the brain functions.

Thus, the stroop experiment's findings most accurately represent when respondents used to have to read words given in colorful ink, reaction times tended to be the longest.

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The complete question is-

This following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results).

a. Reaction times were the longest when people had to read words presented in black ink.

b. Reaction times were the longest when people had to read words presented in colored ink.

c. Reaction times were the longest when people had to name the color of colored chips/shapes.

d. Reaction times were the longest when people had to name the color of words presented in colored ink.

If the Pascal's triangle row entries are 1,n,...,n,1 and the average is 2048 , then the value of n is  15  .

Let the number of entries in the row is = n + 1  .

Since the average of the entries is 2048,

So , the sum of the entries is = 2048 × (n + 1).

We know that the sum of the entries in a row of Pascal's Triangle is equal to 2ⁿ, so we have the equation as :

⇒ 2048 × (n + 1) = 2ⁿ ;

On simplifying ,

we get ;

⇒ n = -0.99975 and n = 15 .

Since the "n" cannot be in negative .So , n = 15   .

Therefore , the value of n is the  pascal's triangle is 15 .

The given question is incomplete , the complete question is

The entries in a certain row of Pascal's Triangle are 1,n,...,n,1 the average of the entries in this row is 2048. find  n  .

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If the number is rounded to the nearest hundred, then the last two digits of the number are replaced with zeros. For example, if the original number is 456, the rounded number to the nearest hundred would be 500.

If the rounded number has zeros, then this means that the last two digits of the original number were already zeros. In other words, the original number was already a multiple of 100.

For example, if the original number was 200, rounding to the nearest hundred would give 200, which has one zero. Similarly, if the original number was 1,000, rounding to the nearest hundred would give 1,000, which has three zeros.

Therefore, the answer to the question depends on the original number being rounded. If the original number was already a multiple of 100, then the rounded number will have zeros. If the original number was not a multiple of 100, then the rounded number may or may not have zeros, depending on the specific digits in the number.

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The probability that a different catalyst is used on each run is 1, meaning it is certain to happen.

To calculate the probability that a different catalyst is used on each run, we can use the formula for combinations, which is given by n! / (n-k)!k!, where n is the number of items to choose from, k is the number of items being selected, and ! means factorial, which is the product of all positive integers up to that number.

In this case, we have 5 experimental runs and 5 different catalysts, so n = 5 and k = 5. The probability that a different catalyst is used on each run is given by:

5! / (5-5)!5! = 5! / 0!5!

= 120/120

= 1

--The question is incomplete, answering to the question below--

"An experimenter is studying the effects of temperature, pres-sure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?"

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The answers to each part is mentioned above.

A function describes a relationship between a dependent and independent variable. Example -

y = f(x) = 5x + 9

Given are the functions as -

y = k/x  &  y = a/x

{ 1 } -

Refer to the graph attached. For the value of {k} > 0, the graph is

reflected along the {y} - axis.

{ 2 } -

Same is the case as in the option { 1 }. The graph is reflected along the

{y} - axis.

Therefore, the answers to each part is mentioned above.

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Answer:

(0,-1)

Step-by-step explanation:

you only need to look where the graph and the y line cross each other.. and that is in the point (0,-1)

To create a relative frequency distribution, we need to count the number of occurrences of each response and divide it by the total number of responses, which is 20 in this case. The relative frequency of classmates who say their favorite month is June can be calculated as follows:

Number of classmates who say their favorite month is June: 2

Relative frequency of classmates who say their favorite month is June: 2/20 = 1/10 = 0.1

So, the relative frequency of his classmates who say their favorite month is June is 0.1 or 10%.

Relative frequency is a measure of the proportion or percentage of observations in a dataset that belong to a specific category or interval. It is calculated as the count of observations in a specific category or interval divided by the total number of observations in the dataset.

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The given sequence is arithmetic progression.

The common difference is d= -20.

The difference between any two successive terms in an

arithmetic series will be the same all the way through the sequence.

Given -13, -33, -53, -73, ............ be a sequence.

If any two consecutive terms in the series above differ by "d" along the sequence, then the sequence is arithmetic.

d = -33 - (-13) = - 33 + 13 = - 20

d = -53 - (-33) = - 53 + 33 = - 20

d = -73-(-53) = - 73 + 53 = - 20

The difference 'd' is called common difference.

Since the common difference area same, i.e., d= - 20 the given sequence is arithmetic progression.

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