Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 1 + sin(t), y = 6 + 2 cos(t), π/2 ≤ t ≤ 2π The motion of the particle takes place on an ellipse centered at (x, y) = 1,6 . As t goes from π/2 to 2π, the particle starts at the point (x, y) = 1,6 and moves clockwise three-fourths of the way around the ellipse to (x, y) = .

Answer: Since the sample size is large (n > 30) and the population standard deviation is known, we can use the normal distribution to approximate the sampling distribution of the mean.

The standard error of the mean is the standard deviation of the sampling distribution of the mean, and it can be calculated as follows:

standard error of the mean = standard deviation / sqrt(n)

Plugging in the given values, we get:

standard error of the mean = 7 inches / sqrt(51) = 1.17 inches

The probability that x is within 0.5 inches of the claimed population mean (15 inches) is equal to the probability that x is between 14.5 inches and 15.5 inches. We can use the normal distribution to find this probability by standardizing the range 14.5 inches to 15.5 inches and using a z-table or a calculator to find the corresponding probability.

The standardized value for 14.5 inches is (14.5 - 15) / 1.17 = -0.43, and the standardized value for 15.5 inches is (15.5 - 15) / 1.17 = 0.43.

The probability that x is between -0.43 and 0.43 is equal to the area under the standard normal curve between these two values. Using a z-table or a calculator, we can find that this probability is 0.6915.

Therefore, the probability that x is within 0.5 inches of the claimed population mean is approximately 0.6915, which is the final answer.

Average Bloxyy

Which is not an equation of the line going through (3, -6) and (1, 2)?

A. y=-4x+6

B. y+ 6 = -4(x- 3)

C. y- 1=-4(x-2)

D. y - 2 = -4(x-1)

An equation of the line going through two points (x1, y1) and (x2, y2) can be written in the form y - y1 = m(x - x1), where m is the slope of the line. The slope of the line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values for (x1, y1) and (x2, y2) from the problem, we get:

m = (2 - (-6)) / (1 - 3) = 8/ -2 = -4

Therefore, an equation of the line going through (3, -6) and (1, 2) is of the form y - (-6) = -4(x - 3).

Option B is of this form, so it is an equation of the line going through (3, -6) and (1, 2). The other options are not of this form, so they are not equations of the line going through (3, -6) and

Answer:

2/3 hour

Step-by-step explanation:

lets say English takes x hour to complete such that Math will take twice as long which is 2x hour. It takes 2 hours to complete both English and Math. So we can write the following equation:-

x+2x=2

or, 3x=2

or, x=2/3

Therefore, English takes 2/3 hour to complete (which is 40 minutes)

And Math takes 4/3 hour to complete (which is 80 minutes)

Answer:

1st {-6, -3, 0, 3, 6}

Step-by-step explanation:

range is the output that is "y", so the range is a set of {-6, -3, 0, 3, 6}

A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.

Data that is labeled without using quantitative data is known as nominal data.

A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number.

A variable is categorical unless it has a numerical value, in which case it is referred to as a quantitative variable.

The category and quantitative variables are now classified as follows:

Duration is a quantitative variable with interval as its unit of measurement.

Ratings are categorical variables with an ordinal level of measurement.

The degree of measurement for the categorical variable "voting status" is nominal.

Ordinal data are those that can be arranged.

The highest and smallest known values are continuous and discrete values for interval data, respectively. The order is clear here. Here, the distinction between two values means something.

All of the characteristics of interval data apply to ratio data, plus it has the definition of zero(0), meaning that no points are included. For instance, height, weight, etc.

Because ratio includes both continuous and discrete data, it is likely that the difference between any two numbers won't be the same.

It is interval data since everyone knows when a class starts and when it ends, and it also has these two times. for instance, between 9:00 to 10:00

Nominal because the information is categorical.

Ordinary, given that we may get quality products here. Good, acceptable, or poor.

Ordinal because the marks can be arranged.

Ordinary since we can arrange the ages.

Line symmetry; rotational symmetry; the reflection in the line x = 0, the reflection in the line y = 0 the reflection in the line y = x and the reflection in the line y = -x map the square onto itself; the rotations of 90°, 180°, 270° and  around the point ( 0 , 0 ) map the square onto itself.

Therefore,

A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.

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The result of the expression 11C9 / 11P4 is 1 / 144

The given expression is

11C9 / 11P4

The permutation is defined as the method of arranging the numbers or object in order

The combination is defined as the method of selecting the numbers or object from a collection without any order

The given expression is

11C9 / 11P4

Find the value of each term

11C9 = 11! / (11-9)! × 9!

= 55

11P4 = 11! / (11-4)!

= 7920

Substitute the value of each term in the expression

The expression will be

11C9 / 11P4 = 55/7920

= 1/144

Therefore, the result is 1/144

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Answer:

one 2

one 3

two 4's

one 5

one 6

Step-by-step explanation:

We can use the combination formula to derive how many sets of two can be obtained from this set of 4 numbers. We are using the combination formula instead of the permutation formula because, in this situation, order doesn't matter; the mean of 1 and 3 is the same as the mean of 3 and 1.

[tex]_nC_r = \dfrac{n!}{r!(n-r)!}[/tex] where [tex]n[/tex] is the number of things to choose from and [tex]r[/tex] is the number of things we are choosing. Hence the equation for this problem is:

[tex]_4C_2 = \dfrac{4!}{2!(4-2)!}[/tex]

[tex]_4C_2=\dfrac{24}{2(2)}[/tex]

[tex]_4C_2 = 6[/tex]

So, there are 6 ways to pick 2 cards from a total of 4. We can lay out these 6 possibilities from the given numbers on each card:

(1, 3)     (3, 5)     (5, 7)

(1, 5)     (3, 7)

(1, 7)

Then, we can calculate the mean, or average, of each.

2           4           6

3           5

4

Finally, we can conclude that the distribution of the means for each possible set of number pairs is:

one 2

one 3

two 4's

one 5

one 6

The perimeter of the checker board  118.4 cm

Area of each square = 14 sq. cm.

What is the length?

Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The meter serves as the foundational unit of length in the International System of Units.

The square root of area is the length of one side

[tex]\text { lengthofeachsquare }=\sqrt{14}=3.7 \mathrm{~cm}[/tex]

[tex]\text { lengthofoneside }=8 * 3.7=29.6 \mathrm{~cm}[/tex]

[tex]P=4 a[/tex]

[tex]=4 * 29.6=118.4 \mathrm{~cm}[/tex]

[tex]\text { Perimeterofthecheckerboard }[/tex]

Therefor we get the perimeter of the checker board  118.4 cm

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The calculation finds that by substituting '-6' for 'x' in the equation g(x)=5x-5, we find the value of g(-6) to be -35.

The question asks us to find the value of g(-6) for function g(x)=5x-5. To do this, we substitute '-6' for 'x' in the equation. The calculation is as follows:

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Answer:

Step-by-step explanation:

3x^2 = -12

x^2 = -4

x = ±√-4

this equation has no real solutions

Answer:

-------------------------------

The required, subtraction of 7x-9 from 2x² - 11 is 2x²-7x-2. Option B is correct.

Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

Here,

To subtract 7x-9 from 2x² - 11, we need to distribute the negative sign across 7x and 9, and then combine like terms.

=2x² - 11 - (7x - 9)

= 2x² - 11 - 7x + 9

= 2x² - 7x - 2

Therefore, the answer is 2x²-7x-2.

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The equation which can be used to determine n, the number of calories in each chicken nugget would be 193.5+12 n=288.5+8n

And n = 24.1

Option (C) is correct.

What is a linear equation?

A linear equation is an equation that describes a straight line. Linear equations have the form y = mx + b, where x and y are variables and m and b are constants. The constant m is the slope of the line, and the constant b is the y-intercept, which is the point where the line crosses the y-axis.

To derive this equation, we can start with the fact that the two meals have the same number of total calories. This means that the number of calories in the first meal is equal to the number of calories in the second meal. We can represent this relationship with the equation:

8 nuggets * calories/nugget + 193.5 calories = 12 nuggets * calories/nugget + 288.5 calories

We can then rearrange the terms on the left and right sides of the equation to get the equation in the form given in option C:

193.5 + 12 n = 288.5 + 8 n

Finally, we can solve this equation for n by subtracting 8n from both sides and then dividing both sides by 4:

n = (193.5 - 288.5) / 4 = (-95) / 4 = -23.75

Therefore, the number of calories in each chicken nugget is 24.1 calories.

Hence, option (C) is correct.

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Step-by-step explanation:

boy come ladies yer wait for you

hvb-amor-jon

In response to the question, we may say that As a result, the right answer  expression is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To carry out the random assignment, we may utilise the following table of random digits:

Allocate the first ten topics to the table's rows, beginning with 0 and ending with 9.

Read the numerals from left to right, top to bottom, until 5 participants have been allocated to treatment A and 5 subjects have been assigned to treatment B.

We can get the following random assignment using this method:

A: 0, 3, 6, 5, 8 \sB: 1, 7, 4, 2, 9

As a result, the right answer is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.

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Answer:

A: 0, 7, 5, 8, 1  B: 3, 4, 2, 6, 9

Step-by-step explanation:

THE ANSWER IS D

Step 3 shows the result of applying the subtraction property of equality

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1/4(12x+8)+4=3.

We need to find which step has the property of substitution.

The Subtraction Property of Equality states that an equal value subtracted or removed from two equal items will result in a new equal amount.

Given step 1 is 3x+2+4=3

Opened the brackets on left side and multiplied with 1/4.

Step 2: 3x + 6 = 3.

Added the numbers on the left.

Step 3: 3x = -3

Equal value subtracted or removed from two equal items will result in a new equal amount. So Subtracted both sides by 6.Step 3 shows the result of applying the subtraction property of equality

Step 4: x = -1

Divided both sides by 3.

Hence, in step 3 we have used the property of subtraction.

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The volume of the stone if, The volume of the water is 110 cm³, and The volume of the water and the stone is 150 cm³, is 40 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The volume of the water = 110 cm³,

The volume of the water and the stone = 150 cm³,

Calculate the volume of the stone as shown below,

The volume of stone = The volume of the water and the stone - The volume of the water

The volume of stone = 150 - 110

The volume of stone = 40

Thus, the volume of the stone is 40 cm³

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The 6th term of the geometric sequence 27/16, -9/8, 3/4..... is - 2/9

The correct answer option is option B

Given: 27/16, -9/8, 3/4.....

nth term = ar^(n-1)

Where,

First term, a = 27/16

Common ratio, r = -9/8 ÷ 27/16

= -9/8 × 16/27

= -2/3

6th term = ar^(n-1)

= 27/16 × -2/3^(6-1)

= 27/16 × -2/3^5

= 27/16 × -32/243

= - 2/9

In conclusion, negative two ninths is the 6th term of the geometric sequence.

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Answer:

c, e, f

Step-by-step explanation:

Collibear means lying on or passing through the same straight line.

Answer: C

Step-by-step explanation: Because

Answer:

Step-by-step explanation:

let numerator=x

denominator=x+3

again

[tex]\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?[/tex]

x=4

number is

[tex]\frac{4}{4+3} \\=\frac{4}{7}[/tex]

The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:

$749.7.

To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.

Researching on a web search, the FICA tax rate is given as follows:

15.3% = 0.153.

As the FICA tax is a combination of the Medicare tax with the Social Security tax.

Sol Berenson's gross weekly earnings are given as follows:

$4,900.

(as stated in the problem).

The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:

Amount Withheld = 0.153 x 4900 = $749.7.

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Answer:

0.25

Step-by-step explanation:

Step 1: Convert all fractions to decimals

Two-thirds = 0.6666

Three-quarters = 0.75

One-half = 0.5

Step 2: Multiply all fractions

0.6666 * 0.75 * 0.5 = 0.25

Step 3: The answer is 0.25

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Three-quarters of one half:

[tex]\implies \dfrac{3}{4} \times \dfrac{1}{2}=\dfrac{3 \times 1}{4 \times 2}=\dfrac{3}{8}[/tex]

Two-thirds of "Three-quarters of one half":

[tex]\implies \dfrac{2}{3} \times \dfrac{3}{8}=\dfrac{2 \times 3}{3 \times 8}=\dfrac{6}{24}=\dfrac{6 \div 6}{24 \div 6}=\dfrac{1}{4}[/tex]

Answer:

g(-2) = -14

Step-by-step explanation:

We just need to substitute -2 for x

g(-2) = -3 * (-2)^2 - 2 = -3 * 4 - 2 = -12 - 2 = -14

Answer:

Below

Step-by-step explanation:

Only the middle three are tri -nomials  ( three terms)

the third one reduces to  (x+ 2)^2

Answer:

3

Step-by-step explanation:

(x+2)^2

The function f(x) is an absolute function and the function g(x) will be twice the function f(x). The table is completed below.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = |x| - 2 and g(x) = 2 f(x)

The function g(x) is rewritten as,

g(x) = 2 (|x| - 2)

g(x) = 2|x| - 4

The function f(x) is an absolute function and the function g(x) will be twice the function f(x).

x           f(x) = |x| - 2               g(x) = 2f(x)

-2                0                               0

-1                -1                               -2

0                -2                              -4

 1                -1                               -2

2                0                                0

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Answer:

m<P = 31°

Step-by-step explanation:

Use this symbol < for angle, not <.

<P and <Q are complementary.

That means that their measures add to 90°.

m<P + m<Q = 90°

Now we substitute 7x + 3 for m<P and 16x - 5 for m<Q.

7x + 3 + 16x - 5 = 90

Solve for x.

23x - 2 = 90

23x = 92

x = 4

m<P = 7x + 3 = 7 × 4 + 3 = 31

Answer: 31°

The vertex of the graph (3, 0)

What is Vertex of graph?

A vertex or node is the basic building block of a graph in discrete mathematics, and more precisely in graph theory. An undirected graph is made up of a set of vertices and a set of edges, whereas a directed graph is made up of a set of vertices and a set of arcs.

According to question

when f(x) = 0

that's the minimum point, the vertex, or the intersection of two lines,  g(x) = 0.25x − 0.75 and h(x) =  0.75 - 0.25x

Therefore

find the intersection of Two line which are

⇒ y = x/4 - 3/4

⇒ 4y = x - 3 → First line

⇒ y = 3/4 - x/4  

⇒ 4y = 3 - x → Second line

So x - 3 = 3 - x

2x = 6 ,

x = 3

And y = 0

hence the vertex of f(x) = (3, 0)

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