Set builder notation integers between 7 and 50

Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.

Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

In this scenario, we can set up the null and alternative hypotheses as follows:

Null hypothesis (H0): The proportion of newsletter readers who own a Rolls Royce is greater than or equal to 0.68.

Alternative hypothesis (H1): The proportion of newsletter readers who own a Rolls Royce is less than 0.68.

In order to determine if there is sufficient evidence to support the publisher's claim, we would need to conduct a statistical test to determine if the proportion of newsletter readers who own a Rolls-Royce is significantly less than 0.68. The significance level of 0.02 is used to determine the level of evidence required to reject the null hypothesis.

If we run a test, if the p-value is below 0.02, we can reject the Null hypothesis and conclude that the evidence is sufficient to show that the proportion of newsletter readers who own a Rolls Royce is less than 0.68, and thus the publisher's claim is substantiated.

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The solutions to the quadratic function y = x² + 4x + 3, using the quadratic formula, are given as follows:

x = -1 and x = -3.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

In which the leading coefficient a must assume a value different of zero.

The solutions to the quadratic function ax² + bx + c = 0 are obtained using the quadratic formula, as follows:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic function for this problem is defined as follows:

x² + 4x + 3 = 0.

Hence the coefficients are:

a = 1, b = 4, c = 3.

The first solution is:

[tex]x = \frac{-4 - \sqrt{4^2 - 4(1)(3)}}{2} = -3[/tex]

The second solution is:

[tex]x = \frac{-4 + \sqrt{4^2 - 4(1)(3)}}{2} = -1[/tex]

This problem was incomplete, hence the quadratic formula is used to solve y = x² + 4x + 3, as an example.

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Answer:

Step-by-step explanation:

5x+8-5-x=3

5x + 8 - 5 - x = 3

4x + 3 = 3

4x = 0

x = 0

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

5 × 0 + 8 - 5 - 0 = 3

8 - 5 = 3

3 = 3

The number of apples that he has left will be 2 apples.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If jimmy buys 5 apples and gets 3 apples eaten alive by him.

Then the number of apples that he has left will be given by subtracting 3 from 5. Then the expression is given as,

⇒ 5 - 3

⇒ 2

The number of apples that he has left will be 2 apples.

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The complete question is given below.

If jimmy buys 5 apples and gets 3 apples eaten alive by him. How many apples does he have left?

Answer:

Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?

Answer in explanation:

I went over it and your answer seems correct, but the problem says 'how much money, in dollars'

There are 12 months in a year

3 x 4 = 12

17,211 x 4 = 68,844

you wrote 67.844 so possibly changing to a comma would help!

I hope this helps!

The equation of the line found is:

y = 3x + 1.

Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.

Linear equation:

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.

The equation of a line is given by:

y = mx + b

In which:

m is the slope, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

From the table, when x =0 and y =1 , thus b = 1.

When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7  , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.

The equation of the line is:

    y = 3x + 1.

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Answer:

$44.16 he spent on chocolate

Ella can type faster than Andrew because the rate at which she types is faster than Andrew's rate by 0.5 text per second.

In Mathematics, rate of change can be defined as a type of function that describes the average rate at which a quantity either decreases or increases with respect to another quantity.

In this scenario, we would determine the rate of change with respect to the amount of words that Andrew and Ella can type per second as a ratio. For the amount of words that Andrew can type per second, we have:

Andrew = 7/21 = 28/84 = 1/3 or 1:3.

For the amount of words that Ella can type per second, we have:

Ella = 4/14 = 16/56 = 1/3.5 or 1:3.5

Difference = 3.5 - 3

Therefore, we can logically conclude that Ella can type faster.

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the answer is 151200

The equation can be solved by adding 3 to both sides of the equation.

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The percent discount on the new phone is 15%.

Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.

To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.

Discount = Original Price - Sale Price

Discount = $46 - $39.10

Discount = $6.90

Percent Discount = (Discount / Original Price) x 100

Percent Discount = ($6.90 / $46) x 100

Percent Discount = 15%

Therefore, the percent discount is 15%.

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Answer:

v = 4

Step-by-step explanation:

⭐What is the midsegment of  a triangle?

⭐What are some properties of the midsegment?

Thus, we have to make an equation using the properties of the midsegment to solve for v.

Working:

[tex]SU = \frac{1}{2}(QR)[/tex]

[tex]19v - 38 = \frac{1}{2}(-5v + 96)[/tex]

[tex]38v - 76 = -5v + 96[/tex] . . . . .  multiply both sides by 2 to get rid of the fraction

[tex]43v = 172[/tex] . . . . . add 5v and 76 to both sides

∴ [tex]v = 4[/tex] . . . . . . . . . divide both sides by 43 to isolate v

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Answer:

x = 40°

Step-by-step explanation:

∠ FEC and ∠ ECD are same- side interior angles and sum to 180° , that is

150° + y = 180° ( subtract 150° from both sides )

y = 30°

∠ BCD and ∠ ABCare alternate angles and are congruent , so

x + y = 70° , that is

x + 30° = 70° ( subtract 30° from both sides )

x = 40°

Answer:47

Step-by-step explanation

After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).

The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.

The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.

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The cost of parker's tuition is $19,090.9

Parker could pay 45% of his college tuition with his scholarship

He paid for the remaining $10,500 with a student loan

Therefore the cost of parker's tuition can be calculated as follows

100% - 45%

= 55%

let y represent the cost of parker's tuition

55y/100= 10500

0.55y= 10500

y= 10500/0.55

y= 19,090.9

Hence Parker tuition cost is $19,090.9

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8/10 liters of water she spilled. This can be solved using the concept of fraction.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

Given that,

There were 57/10 liters of water in a bucket than she spilled some so she added another 15/10, now she get:

(57/10) + (15/10) = 72/10

After that, there was 64/10 liters of water in the bucket, now she spilled:

(72/10) - (64/10) = 8/10

So, 8/10 liters of water she spilled.

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Answer:

y = 90°

Step-by-step explanation:

Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and  |p - t|

Absolute value means to remove any negative sign in front of a number and to think of the number as positive.  This is indicated by the vertical lines |  |

Any expression that contain the vertical lines is called absolute

value expression

Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.

We can write:

accuracy = | t - p|

OR

accuracy = | p - t|

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Answer:

It-pI

Step-by-step explanation:

By solving the given factorial question we get a+b=2538.

In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a specific positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial 0 is equal to 1 by definition.

Solution:-

1! + 2! = 1! ( 1 + 2 )

2! + 3! = 2! ( 1+ 3 )

3! + 4! = 3! ( 1 + 4 )

4! + 5! = 4! ( 1 + 5 )

5! + 6! = 5! ( 1 + 6 )

6! + 7! = 6! ( 1 + 7 )

7! + 8! = 7! ( 1 + 8 )

8! + 9! = 8! ( 1 + 9 )

Once again:

1! + 2! = 1! ( 3 )

2! + 3! = 2! ( 4 )

3! + 4! = 3! ( 5 )

4! + 5! = 4! ( 6 )

5! + 6! = 5! ( 7 )

6! + 7! = 6! ( 8 )

7! + 8! = 7! ( 9 )

8! + 9! = 8! ( 10 )

The LCM of 1!, 2!, 3!, ... , 8! is 8!

The LCM of 3, 4, 5, ... , 10 is 2520

The LCM is 2520 * 8!

a = 2520

b = 8

a + b = 2528

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The binomial equation can be squared to provide an expression that is a perfect square trinomial.

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The binomial equation can be squared to provide an expression that is a perfect square trinomial.

If and only if a trinomial that takes the form ax 2 + bx + c satisfies the requirement b 2 = 4ac is considered to be a perfect square.

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Answer:

You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88.  30/88 reduced is 15/44

Hope this helped  

[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]

When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.

[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]

[tex]\dfrac{6\times5}{11\times8}[/tex]

[tex]=\dfrac{30}{88}[/tex]

Reduce to simplest form:

[tex]\dfrac{30\div2}{88\div2}[/tex]

[tex]=\fbox{$\dfrac{15}{44} $}[/tex]

Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Rate of change = slope of a linear graph.

Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.

Let's find the rate change of the function represented on the graph using slope formula:

Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]

Use coordinates of any two points on the line. Let's take,

[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]

Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]

Rate of change of the linear function of the graph = 3.

Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.

The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.

The starting value of the linear function, y = 4x + 2 is 2.

The starting value of the function on the graph is 4. At this point, x = 0.

Thus, the function on the graph has a higher starting point.

The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

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1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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The distance from concord to Matthews is solved to be 14.8 miles

Information from the question include

charlotte is 7 miles south of concord

Matthews is 13 miles west of charlotte

the distance from concord to matthews = ?

The required distance is solved using using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 13² + 7²

x² = 169 + 49

x² =  218

x = √218

x = 14.7648

x = 14.8 (to 3 SF)

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