In a recent poll of 750 randomly selected​ adults, 589 said that it is morally wrong to not report all income on tax returns. Use a 0.05 significance level to test the claim that 70​% of adults say that it is morally wrong to not report all income on tax returns. Identify the null​ hypothesis, alternative​ hypothesis, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method.

Answer:

\( \frac{1}{2} - \frac{2}{15} = \frac{15 - 4}{30} = \frac{11}{30} \\ \\ we \: \: have \: \: to \: \: add \: \: any \: number \: \: which \: \: \\ is \: greater \: \: than \: \frac{11}{30} \)

Answer:

10

Step-by-step explanation:

The store wants to make a 20% profit:

Multiply the cost of the toy by 1.20 ( cost plus 20%).

6.25 x 1.20 = $7.50

This means when the toy is sold at 25% off, it needs to be $7.50 to make the 20% profit.

When the item is 25% off, that means it would sell for 75% of the original price.

Now to find what the price needs to be before the 25% off divide the profit price by 75%

7.50 / 0.75 = $10

K = $10

Step-by-step explanation:

Co-ordinate Geometry

Coordinate Geometry is considered to be one of the most interesting concepts of mathematics. Coordinate Geometry (or the analytic geometry) describes the link between geometry and algebra through graphs involving curves and lines. It provides geometric aspects in Algebra and enables them to solve geometric problems. It is a part of geometry where the position of points on the plane is described using an ordered pair of numbers. Here, the concepts of coordinate geometry (also known as Cartesian geometry) are explained along with its formulas and their derivations.

Introduction to Coordinate Geometry

Coordinate geometry (or analytic geometry) is defined as the study of geometry using the coordinate points. Using coordinate geometry, it is possible to find the distance between two points, dividing lines in m:n ratio, finding the mid-point of a line, calculating the area of a triangle in the Cartesian plane, etc. There are certain terms in Cartesian geometry that should be properly understood. These terms include:

Coordinate Geometry Terms

Coordinate Geometry Definition It is one of the branches of geometry where the position of a point is defined using coordinates.

What are the Coordinates? Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Coordinate Plane Meaning A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Distance Formula It is used to find the distance between two points situated in A(x1,y1) and B(x2,y2)

Section Formula It is used to divide any line into two parts, in m:n ratio

Mid-Point Theorem This formula is used to find the coordinates at which a line is divided into two equal halves.

What is a Co-ordinate and a Co-ordinate Plane?

You must be familiar with plotting graphs on a plane, from the tables of numbers for both linear and non-linear equations. The number line which is also known as a Cartesian plane is divided into four quadrants by two axes perpendicular to each other, labelled as the x-axis (horizontal line) and the y-axis(vertical line).

The four quadrants along with their respective values are represented in the graph below-

Quadrant 1 : (+x, +y)

Quadrant 2 : (-x, +y)

Quadrant 3 : (-x, -y)

Quadrant 4 : (+x, -y)

The point at which the axes intersect is known as the origin. The location of any point on a plane is expressed by a pair of values (x, y) and these pairs are known as the coordinates.

Wesley and Camille, who have a class together at Oakland University, leave at the same time. Wesley heads to the library at 5 kilometers per hour, while Camille goes to the canteen in the opposite direction at 6 kilometers per hour. It will take them approximately 24 minutes to be 4 kilometers apart.

Time = Distance / Speed

Since Wesley and Camille are moving in opposite directions, their speeds will be added. The combined speed is 5 km/h (Wesley's speed) + 6 km/h (Camille's speed) = 11 km/h.

Now we need to calculate the time it takes for them to be 4 kilometers apart:

Time = 4 km / 11 km/h

Using the formula, we find that the time it takes is approximately 0.3636 hours. To convert this to minutes, we multiply by 60:

Time = 0.3636 hours * 60 minutes/hour ≈ 21.82 minutes

Rounding to the nearest minute, it will take approximately 22 minutes for Wesley and Camille to be 4 kilometers apart.

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The number we should pick near average value is 252 or 253.

In this given scenario, we have 10 players, everyone wagers 100 bucks and everyone picks 0-100. The person who picks to half the average wins the prize. To determine what number we should pick and why, let's start by solving the problem step-by-step.

Step 1: Find the average value of all picks.To find the average, we add up all the picks and divide by the number of players. We have 10 players, so: Sum of all picks = 0 + 1 + 2 + ... + 99 + 100 = 5050

Average value = (sum of all picks) / (number of players)= 5050 / 10= 505

Step 2: Half the average value. To half the average value, we divide it by 2:

Half of average = (average value) / 2= 505 / 2= 252.5

Step 3: Choose the number closest to half the average. Now that we know that the half of the average value is 252.5, we should choose the number closest to it. The person who picks the number closest to 252.5 wins the prize. If we pick a number less than 252.5, we will not win because someone who chose a number greater than 252.5 will win. If we pick a number greater than 252.5, we will not win because someone who chose a number less than 252.5 will win.So, the number we should pick is 252 or 253. Both numbers are equally close to 252.5. If we want to win, we should choose one of these numbers.

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The chart should be completed as follows;

x           \(f(x) = 1.7^x\)               function (x, f(x))               Inverse (f(x), x)

0               1                             (0, 1)                                 (1, 0)

1                1.7                          (1, 1.7)                               (1.7, 1)

-1               0.6                         (-1, 0.6)                            (0.6, -1)

2                2.9                          (2, 2.9)                           (2.9, 2)

3                4.9                          (3, 4.9)                            (4.9, 3)

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the given exponential function \(f(x) = 1.7^x\), we would determine the value of f(x) by substituting each of the x-values as follows;

x = 1

\(f(x) = 1.7^1\)

f(x) = 1.7

When x = -1, we have:

\(f(x) = 1.7^{-1}\)

f(x) = 0.6

When x = 2, we have:

\(f(x) = 1.7^{2}\)

f(x) = 2.9

When x = 3, we have:

\(f(x) = 1.7^{3}\)

f(x) = 4.9

In conclusion, the inverse of this exponential function would be determined by interchanging (swapping) the x-value (x) and the y-value f(x) as shown in the chart above.

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Using proportions, the lengths of the unknown sides are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:

\(\frac{2x}{4} = \frac{5}{x - 3}\)

Applying cross multiplication:

2x(x - 3) = 20

2x² - 6x - 20 = 0

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0.

Then the positive solution is:

x - 5 = 0 -> x = 5.

And the lenghts are:

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Answer:

Yes. Both are graphing calculators. TI 83 has a black only screen while the TI 84 has a colored screen

Yes. The two calculators are the same more or less overall. They have the same functions and features. There are slight differences (eg: the TI84 is slightly faster than the 83 version), but it's not too big a deal since you can do the same math with both versions.

If you can, I recommend using online tools such as Desmos or GeoGebra. These tools are much faster compared to the TI83 and TI84. Also, they allow for multiple colors to be used, so you can tell the graphs apart. There are lots of other features as well (way too many to go over right now), and the best part is that both tools Desmos and GeoGebra are free. Unfortunately, your teacher may not allow you to use them in a test setting. However, I would ask and they may allow a limited version to be used in some capacity.

Answer:

$987.50

Step-by-step explanation:

To calculate Joan Smith's tax, we need to follow these steps:

Step 1: Determine the taxable income

Taxable Income = Joan Smith's earnings - Federal exemption

Taxable Income = $42,500.00 - $3,000.00 = $39,500.00

Step 2: Calculate the tax amount

Tax amount = Taxable Income * Tax rate

Tax amount = $39,500.00 * 2.5% = $987.50

Therefore, Joan Smith's tax amount is $987.50.

Answer: The second one, B

Step-by-step explanation:

Check the picture below.

notice, it says that PT is perpendicular to SQ.

now onto the other one

well, a parallelogram with one right-angle and at least one pair of congruent sides, hell a rectangle is that, so is an square, so no dice.

a rhombus that has congruent diagonals, well, a square is that but so is a rectangle, no dice.

a parallelogram whose diagonals bisect each other, well, a square has that, sure, a rhombus too and a rectangle too, no dice.

a rectangle with perpendicular diagonals, well, a rhombus has perpendicular diagonals, however is not a rectangle, a square is a rectangle  also with perpendicular diagonals too.

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.

To find the equation of the line that is perpendicular to this line,

We need to use the fact that the product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular line be m'.

Then:

-1 x m' = -1

m' = 1

So the slope of the perpendicular line is 1.

We also know that the perpendicular line passes through the point (-12, 10).

Using the point-slope form of the equation of a line, we have:

y - y(1) = m' (x - x(1))

Substituting m' = 1 and (x(1), y(1)) = (-12, 10),

We get:

y - 10 = 1 (x + 12)

Simplifying this equation gives:

y = x + 22

Thus,

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

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In commutative ring theory, if every ideal of a commutative ring with identity (denoted as r) can be generated by a finite or denumerable subset, then the same is true for the ring r[x].

This means that any ideal of the polynomial ring r[x] can also be generated by a finite or denumerable subset. For the ring r[[x]], which consists of formal power series in the variable x with coefficients from r, the analogue of part (a) holds as well.To prove this analogue, let I be an ideal in r[[x]]. We can consider the coefficient of x^k in each element of I, denoted as a_k. Now, let J be the ideal generated by the coefficients a_k. Since every ideal in r can be generated by a finite or denumerable subset, J can be generated by a finite or denumerable subset {a_k1, a_k2, ...}.

We can then construct a subset S of r[[x]], which consists of power series with coefficients that belong to {a_k1, a_k2, ...}. It can be shown that S generates the ideal I. Therefore, we have proven that if every ideal of r can be generated by a finite or denumerable subset, the same is true for the ring r[[x]].

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Answer:

28

Step-by-step explanation:

140x.20=28

Answer:

28

Step-by-step explanation:

dang that's a horrible percentage LOL

Answer:

7x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x + 2(x - 3)

Step 2: Simplify

Combining like terms is a process where you combine the terms with the same variable and/or exponent.

Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.

Now, what is the distributive property?

The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:

\(\sf{a(b+c)=ab+ac}\)

Here, a got multiplied by b and c.

Similarly, we combine the terms:

\(\sf{5x+2(x-3)}\)

Simplify:

\(\sf{5x+2x-6}\)

Combine like terms:

\(\sf{7x-6}\)

Hence, the simplified answer is 7x - 6.

Rounding to the nearest whole number, we get 406%. Therefore, the answer is A. 406%.

To find the percentage of the second set of expenses that the first set represents, we need to first calculate the annual cost of buying coffee at the neighborhood cafe. There are 365 days in a year, so the annual cost of buying coffee is:

365 days/year × $4/day = $1,460/year

Now we can calculate the percentage of the second set of expenses (food) that the first set (coffee) represents:

($1,460/year ÷ $360/month) × 100% = 405.56%

what is whole number?

Whole numbers are a set of numbers that include all natural numbers (positive integers) along with zero. So, the set of whole numbers is {0, 1, 2, 3, 4, 5, ...}. Whole numbers are used to represent quantities that can be counted or measured, but do not include fractions or decimals. They are an important concept in mathematics and are used in various areas of study such as algebra, number theory, and arithmetic.

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Answer:

cos 30 = √3 /2

cos 60 = 1/2

Explanation:

The cosine ratio for 30 degrres gives

which simplifies to give

The cosine ratio for 60 degrees gives

simplifying the right-hand side gives

which is our answer!

Hence, the correct answer choices are

cos 30 = √3 /2

cos 60 = 1/2

Answer:

t's no big surprise that variables act like pronouns, because (believe it or not) math is basically its own language, defined by numeric and logical rules. Therefore, one of the first skills you must master is how to translate regular English into this new (much geekier) math language. For now, I will help you translate English phrases into mathematical phrases, called

Step-by-step explanation:

Answer:

or

a(3375)

Step-by-step explanation:

You are multiplying a by the cube of 15

15 cubed = \(15^{3}\) = 3375

Answer:

can you please show attachments?

You have to put a complete question in order for us to answer your question!

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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The simplified mοnοmial is \(-9x^9y^5\).

In algebra, a mοnοmial is an expressiοn that has a single term, with variables and a cοefficient. Fοr example, 2xy is a mοnοmial since it is a single term, has twο variables, and οne cοefficient. Mοnοmials are the building blοcks οf pοlynοmials and are called 'terms' when they are a part οf larger pοlynοmials. In οther wοrds, each term in a pοlynοmial is a mοnοmial.

Mοnοmial is defined as an expressiοn that has a single nοn-zerο term. It cοnsists οf different parts like the variable, the cοefficient, and its degree. The variables in a mοnοmial are the letters present in it. The cοefficients are the numbers that are multiplied by the variables οf the mοnοmial. The degree οf a mοnοmial is the sum οf the expοnents οf all the variables.

When we multiply mοnοmials with the same base, we add their expοnents. Using this prοperty, we can simplify the expressiοn as fοllοws:

\((-8x^4y^3)(2x^5y^2)+7x^9y^5\)

\(= (-8 * 2)(x^4 * x^5)(y^3 * y^2) + 7x^9y^5\)

\(= -16x^9y^5 + 7x^9y^5\)

\(= (7 - 16)x^9y^5\)

\(= -9x^9y^5\)

Therefοre, the simplified mοnοmial is \(-9x^9y^5\).

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Answer:

B

Step-by-step explanation:

Answer:

x>1/2

Step-by-step explanation:

6x>3

x>1/2

Answer:

X>1/2

Step-by-step explanation:

6x + 4> 7

-4 on each side

6x > 3

Divide 6 on each side

X>1/2

Hope this helps plz mark brainliest!

The solving of the fractions simply shows that the value of 1 2/3 + 3 1/2 is 5 1/6.

The first fraction give is:

= 1 2/3 + 3 1/2

= 1 4/6 + 3 3/6

= 4 7/6

= 4 + 1 1/6

= 5 1/6

Also 3/4 - 5/7 will be:

= 3/4 - 5/7

= 21/28 - 20/28

= 1/8

It should be noted that when solving fractions, it's important to have a common denominator.

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Answer:

Step-by-step explanation:

the discount is $3

the reason for this is

10% = 20÷10=2

5%= 2÷2=1

2+1=3

so the discount is $3

Answer:

x and y is my best guess

Answer:

f(2)= -3

Step-by-step explanation:

f(x)= 2 [x-3.5]

f(2)= 2[2-3.5]                         substitute all of your "x" for the number "2"     f(2)=2[ -1.5]                                                2-3 is -1.5

f(2)= -3                                                 2 times -1.5 is -3

The value of f(2)= -3

Since f(x) = 2[[X-3.5]

So,,

f(x)= 2 [x-3.5]

f(2)= 2[2-3.5]                      

f(2)=2[ -1.5]                                  

f(2)= -3                  

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Answer:

Go left to right

Step-by-step explanation:

Subtract 18 from 3 then add 5 the add 2 then subtract the 13 then add the 12