Classify each proposition as simple or compound. Classify each compound proposition as i netton conjunction desunction conditional or biconditional 1. My friend took his master's degree in Spain.
2. Roses are red, but violets are blue. 3. You are entitled to a 30% discount if you are a member.
4. Boel was on time, but Tom was late,
5. Either he watches a niovie or dines with his friends.
6. If it is an acute angle, then it has less than 90​

There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

Now, According to the question:

In this problem, we have the following hypothesis:

[tex]H_0[/tex] : μ [tex]\geq[/tex] 0.59

[tex]H_\alpha[/tex] : μ < 0.59

The null hypothesis is the prevailing claim which the study is testing, and the alternative hypothesis is what the study is trying to prove. The null hypothesis can either be rejected or not rejected by a sample study. A sample study cannot say that the claim is absolutely correct. Only a count of the whole population can do that, and that could change at any time. In this study, the null was not rejected. The study did not have enough evidence to reject the null.

Hence, There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

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The complete question is this:

A newsletter publisher believes that less than 59% of their readers own a Rolls Royce. For marketing purposes, an advertiser wants to confirm his claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.

What is the conclusion regarding the publisher's claim? Select one:

a) There is sufficient evidence at the 0.02 level of significance that the percentage is less than 59%.

b) There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

Answer: whats up

hello

Step-by-step explanation:

The perimeter of the quadrilateral is 10 + 6√2 units.

What is a quadrilateral?

A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

The coordinate of the vertices of the quadrilateral are A(-5,1), B(-1,4), C(2,1), D(-2,-2).

The length of AB arm is √[(-5-(-1))² + (1 - 4)²] = √25 = 5 units

The length of BC arm is √[(-1-2)² + (4 - 1)²] = √18 = 3√2 units

The length of CD arm is √[(2-(-2))² + (1 - (-2))²] = √25 = 5 units

The length of AD arm is √[(-5- (-2))² + (1 - (-2))²] = √18 = 3√2 units

The perimeter of a quadrilateral is the sum of length of all arms.

The perimeter of the quadrilateral is

AB + BC + CD + AD

= 5 + 3√2 + 5 + 3√2

= 10 + 6√2

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The smallest rational number among -5/16, -13/24, -3/4, and -7/12 is -3/4.

We have,

To determine the smallest rational number among -5/16, -13/24, -3/4, and -7/12, we need to compare their values.

Let's convert all the given rational numbers to have a common denominator of 48:

-5/16 = -15/48

-13/24 = -26/48

-3/4 = -36/48

-7/12 = -28/48

Now, the values of these rational numbers, when expressed with a common denominator, are:

-15/48, -26/48, -36/48, -28/48

Among these values, the smallest one is -36/48, which is equivalent to -3/4.

Therefore,

The smallest rational number among -5/16, -13/24, -3/4, and -7/12 is -3/4.

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Answer:

(2 (3 i + 1))/5

Step-by-step explanation:

Simplify the following:

(4 i)/(i + 3)

Multiply numerator and denominator of (4 i)/(i + 3) by 3 - i:

(4 i (-i + 3))/((i + 3) (-i + 3))

(3 + i) (3 - i) = 3×3 + 3 (-i) + i×3 + i (-i) = 9 - 3 i + 3 i + 1 = 10:

(4 i (-i + 3))/10

The gcd of 4 and 10 is 2, so (4 i (-i + 3))/10 = ((2×2) i (-i + 3))/(2×5) = 2/2×(2 i (-i + 3))/5 = (2 i (-i + 3))/5:

(2 i (-i + 3))/5

i (3 - i) = 1 + 3 i:

Answer: (2 (3 i + 1))/5

The main purpose of statistical inferences is to make generalizations about a population from a small sample result.

Whenever we chart graphs, we try to represent raw data in tabular form. This data is mainly collected by us through surveys conducted on a small group of people, maybe our friends, family or anyone random. Through the data we receive, we can evaluate it to know results of out particular survey topic. Now, if we use this result to draw generalized conclusions about the whole population, then it is known as "inference" statistics. In inference statistics we donot limit the data to our sample size but rather use it to make predictions about the population.

For example: if we want to know the effictivity of a particular drug, we test it on a group of let's say, 100 people. The results show that about 75 treated got cured of the disease for which the drug was made to combat. Using statistical inference, we can conclude that in a population, the drug has an effictivity of 75%.

Further hypothesis can be conducted on the data using inferential statistics.

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The number of ways jokes can be delivered if a man told the jokes first is; 120 ways

The six jokes are;

1. Little boy's joke about books.

2. Little girl's joke about books.

3. Teenage girl's joke about books

4. Teenage boy's joke about books.

5. Man's joke about books.

6. Woman's joke about books.

Now, we are told that the mans joke must be first.

Thus;

Number of ways to tell first joke = 1 way

Number of ways to tell second joke = 5 ways

Number of ways to tell third joke = 4 ways

Number of ways to tell fourth joke = 3 ways

Number of ways to tell fifth joke = 2 ways

Number of ways to tell sixth joke = 1 way

Thus;

Number of ways jokes can be delivered in this manner =

1 * 5 * 4 * 3 * 2 * 1 = 120 ways.

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The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

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Adam Vinatieri made 14 field goals and 7 extra points.

Given that,

a field goal is 3 points and the field goal after a touchdown is only 1 point.

Adam Vinatieri made 21 field goals and extra point kicks for 49 points.

Let x be the number of field goals and y be the extra point kicks.

So we get,

x + y = 21 -------------(1)

3x + y = 49 -----------(2)

Subtracting equation (1) from equation (2),

2x = 28

 x = 14

putting the value of x in equation (1),

14 + y = 21

       y = 7

Therefore Adam Vinatieri made 14 field goals and 7 extra points.

Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.

Adam Vinatieri is an American former football placekicker who played in the National Football League.

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Therefore ,the speed at height 40 feet in the air = 16*40=640 feet/sec

A mathematical function from one set X to another gives each element of X exactly one element of the other. The sets X and Y, respectively, represent the function's domain and codomain.

Here,

the given function is

f(t)=−8[tex]t^{2}[/tex]+25

Therefore, the speed of the ball can be calculated by using derivative of f(t)

f(t)=−8[tex]t^{2}[/tex]+25

Differentiating f(t) w.r.t  t

=> d(f(t)/dt=-8*2t

=> d(f(t)/dt=-16t

Therefore the speed at height 40 feet in the air = 16*40=640 feet/sec

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The function lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ ] has lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ] as the limit of the function as x approaches a.

Generally, To evaluate the limit of a function as x approaches a certain value, we need to substitute the value of x with the limit value and see what the function evaluates to.

In this case, we have:

lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ]

Substituting x with a, we get:

lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ]

This is the limit of the function as x approaches a.

Note that the terms a₀, a₁x, etc. are constants and will not affect the limit of the function. Therefore, the limit of the function as x approaches a is simply sin(a).

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Multiply the numerator and denominator by the conjugate of the denominator to simplify (2+i/(2-i)).

To determine, multiply the denominator's conjugate by the numerator and denominator.

[tex]\frac{2+i}{1-i} = \frac{1}{2} +\frac{3}{2}i[/tex]

The complex number a + bi has the conjugate a-bi. A real number is the result of a complex number and its conjugate. This knowledge will be used to remove the complex number from the given expression's denominator.

[tex]\frac{2+i}{1-i} = \frac{(2+i)(1+i)}{(1-i)(1+i)} \\=\frac{2+2i+i-1}{1+i-i+1} \\=\frac{1+3i}{2} \\=\frac{1}{2} +\frac{3}{2} i[/tex]

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Answer:

A) 2

Step-by-step explanation:

5x - 12 = -2  Add 12 to both sides

5x - 12 + 12 = -2 + 12

5x = 10  Divide both sides by 5

[tex]\frac{5x}{5}[/tex] = [tex]\frac{10}{5}[/tex]

x = 2

Answer:

[tex] \sf \: (a) \: 2[/tex]

Step-by-step explanation:

Given equation,

→ 5x - 12 = -2

Now the value of x will be,

→ 5x - 12 = -2

→ 5x = -2 + 12

→ 5x = 10

→ x = 10/5

→ [ x = 2 ]

Hence, the value of x is 2.

Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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The expressions that are equivalent to 4b can be 2b + 2b and 5b - b.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

In this case, it should be noted that examples such as:

5b - b = 4b

3b + b = 4b

2b + 2b = 4b

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The scatter chart indicates that there is a positive relationship between profits and market capitalization. This means that as profits increase, market capitalization also tends to increase.

The covariance between two variables is a measure of how much the variables tend to change together. A positive covariance indicates that the variables are positively related, which means that as one variable increases, the other tends to increase as well. In this case, a positive covariance between profits and market capitalization indicates that the two variables are positively related.

The correlation coefficient is a measure of the strength of the relationship between two variables. A correlation coefficient of 1 indicates a perfect positive relationship, while a coefficient of -1 indicates a perfect negative relationship. A coefficient of 0 indicates that there is no relationship between the variables. In this case, the correlation coefficient of 0.8229 indicates that there is a strong positive linear relationship between profits and market capitalization.

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The 20% off of Jeremy's purchases is $5.50.

What is discount?

Discount is a noun that designates a sum or a portion taken off of a product's suggested retail price. Check to see if you really need all of that stuff before waiting until after the holiday to buy it. A good or service's price being reduced is referred to by the noun discount.

Given:

Jeremy has a 20%-off coupon for his purchases at a store.

His total purchases are $27.50 without the coupon.

We have to find the 20% off (discount) of Jeremy's purchases.

The 20% off on $27.50 is.

$27.50 x 20% = $27.50 x 0.20 = $5.50

Hence, the 20% off of Jeremy's purchases is $5.50.

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We got the answer of the equation 65 X 589 X 653 -65 +36 = 25,000,076 by applying the BODMAS rule in the given equation.

By Applying the BODMAS rule we get the answer of this question. BODMAs rule says that firstly solve the bracket, them solve the off, then do division, after then go to multiplication, then do addition and lastly after the addition do subtraction.

The chain should be followed while solving the question. So in the given question we firstly do the multiplication i.e

65 X 589 X 653 which is equal to  25,000,105

After doing multiplication, we will move forward and do the addition i.e

25,000,105 + 36 which is equal to 25,000,141.

Lastly, we will do the subtraction after doing multiplication and addition i.e.

25,000,141 – 65 which is equal to 25,000,076.

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Hello,

I hope you and your family are doing well!

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. If the coordinates of one endpoint of the line segment are (x1, y1) and the coordinates of the other endpoint are (x2, y2), then the coordinates of the midpoint M are given by the following formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

In this case, we are given that the coordinates of A are (7, 8) and the coordinates of the midpoint M are (5, 5). We can use these values to find the coordinates of B using the formula above:

M = ((x1 + x2)/2, (y1 + y2)/2)

(5, 5) = ((7 + x2)/2, (8 + y2)/2)

Substituting the known values and solving for x2 and y2, we get:

5 = (7 + x2)/2

10 = 7 + x2

x2 = 3

5 = (8 + y2)/2

10 = 8 + y2

y2 = 2

Therefore, the coordinates of B are (3, 2).

----

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Happy Holidays!

Answer:

(3,2)

Step-by-step explanation:

x: 5 to 7 is 2 up, so 5  down 2 is 3.

Y: 5 to 8 is 3, so 5 down 3 is 2.

For the given function the zeroes will be 0,-11/2, and 11 while the degree of the function is 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

T(h)=h(2h+1)²(h-11)²

The function is simplified as,

T(h)=h((2h)²+1²+2(2h)(1))(h²+121-22h)

T(h)=h[4h²+1+4h](h²+121-22h)

T(h)=(h³+121h-22h²)(h²+121-22h)

From the above function, it is observed that the degree of the given function is 5.

The zeroes of the given function are obtained as,

T(h)=h(2h+1)²(h-11)²

T(h)=0

h = 0

(2h+1)²=0

2h+1=0

h= -1/2

(h-11)²=0

h=11

Thus, for the given function the zeroes will be 0,-11/2, and 11 while the degree of the function is 5.

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By using the concept of function, it can be concluded that (-2, -1) needs to be removed to make the given relation a function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the figure, it can be seen that -2 has  two images,

2 and -1

So from the options given, the point (-2, -1) needs to be removed to make the given relation a function

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Complete Question

Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? O (-3, -4) O (-2, -1) O (1, -3) O (3,7)​

After subtracting 2/5 from 5/7, the resultant fraction is 11/35.

A fraction, which also symbolizes a piece of a whole, is a mathematical symbol for any number of equal parts.

When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. In a simple fraction, both are integers.

In a complex fraction, a fraction can be found in either the numerator or the denominator.

A suitable fraction has a numerator that is less than its denominator.

So, we have:

5/7 and 2/5

Now, perform subtraction as follows:

5/7 - 2/5

5*5 - 7*2/35

25 - 14/35

11/35

Therefore, after subtracting 2/5 from 5/7, the resultant fraction is 11/35.

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Correct question:

Subtract. 5/7−2/5 enter your answer as a fraction in simplest form by filling in the boxes.

The equation of the circle is x²+y²-x-y+0.25=0

What is a circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

For a circle with radius r and center (h,k), its equation would be (x-h)² + (y-k)² = r²

Given, center is (0.5,0.5) and radius is 0.5, h=0.5, k=0.5, r=0.5

The equation becomes:

(x-0.5)² + (y-0.5)² = 0.5²

⇒x²+0.25-x+y²+0.25-y=0.25

⇒x²+y²-x-y+0.25=0

Thus, the equation of a circle becomes x²+y²-x-y+0.25=0

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Answer:

c. the Centroid

Step-by-step explanation:

⭐What is a centroid?

❌The answer is not A because:

❌The answer is not B because:

❌The answer is not D because:

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Therefore,  the solution to  this question of equation is the correct answer is option A.

Either identity equations or conditional equations classify an equation. Every value of the variables has a corresponding identity. Only particular values of the variables are valid for a conditional equation. The equals symbol ("="), which divides two expressions, denotes an equation.

Here,

Given :

Equation : 70%(p + 3.6) = 70%p + 2.52

This equation matches the option A)

The amount the school district gets in federal aid for 70% of p students for 2.52 months.

Therefore correct option for the equation 70%(p + 3.6) = 70%p + 2.52 is option A)

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The 33rd percentile is 75.4.

Percentile is defined as the value below which a given percentage falls under. The percentile formula is used when we need to compare the exact values or numbers over the other numbers from the given data i.e. the accuracy of the number.

To find the percentile, here are a few steps to use the percentile formula. If q is any number between zero and hundred, the qth percentile is a value that divides the data into two parts i.e the lowest part contains the q percent of the data and the rest of the data is the upper part.

We find the rank.

Rank = Percentile ÷ 100

Rank = 33 ÷ 100 = 0.33

So, the rank is 0.33.

Using the percentile formula,

Percentile = Rank × Total number of the data set

Percentile = 0.33 × 117

Percentile = 38.61 ≅ 39

Now, counting 39 values from left to right we reach 75.4, and we can say that all the values below 75.4 will come under the 33rd percentile. In other words, 33% of the values are below 75.4.

Therefore, the 33rd percentile is 75.4.

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The length of longer piece, which is 65% of original bar, 9.75 inch.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that length of chocolate bar is 15 inch.

And Lamont breaks it into two pieces.

one part has 35% of original bar,

so other part has 100 - 35 = 65% of original chocolate bar.

Now, 65% of 15 inch

= 15 × 65 / 100

= 9.75 inch  

Therefore, the length of longer piece, which is 65% of original chocolate bar, 9.75 inch.

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The amount of tax is  $4,622.40 owed on a taxable income of $38,520. which is the correct answer would be option (C).

As per the given question, the marginal tax rate chart as

Marginal Tax Rate           Chart Tax Bracket

$0 –$10,275                                  10%

$10,276 –$41,175                           12%

$41,176 –$89,075                          22%

$89,076 –$170,050                      24%

$170,051 –$215,950                      32%

$215,951 –$539,900                     35%

> $539,901                                     37%

So, the effective tax rate for income of $38,520 lies in the range of a marginal tax rate of 12%.

So, the effective tax ;

⇒ 12% of $38,520

⇒ (12/100)38,520

⇒ $4,622.40

Thus, the amount of tax is  $4,622.40 owed on a taxable income of $38,520.

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Answer:

b

Step-by-step explanation:

The amount received for continous compounding for 50 yrs

Let A represent the total Amount received

Let P represent the principle

Let r represent the rate of interest

Let t represent the time taken

Then for Compound Interest(C.I)

A= P[tex][1 + \fract {r^{n}}{100}]^{t}[/tex]

the formula given above is used when we have to calculate the amount for a small amount of time such as 5-10 yrs

When talking about continuous compounding, i.e. where compounding interest takes place directly for a long period of time then we use the formula:

A= P[tex]e^{rt}[/tex]

Given in Question:

P= $25,000

r=8%

t=50

Then using the formula for continuous compounding:

A= P[tex]e^{rt}[/tex]

A= 25000([tex]e^{(0.08)(50)}[/tex])

A = 25000 x [tex]e^{4}[/tex]

A = 25000 x 54.598

A = $1,364,953.7508

A≈ $1,364,953.751

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