rewrite this non-statistical question as a statistical question. How much does the teacher make? PLEASE HELP ME

The length or of the segment AD or  distance from point A to point D is 16.6 ft.

Given that Mr. Rose is remodeling his house by adding a room to one side

In order to determine the length of the boards he needs for the roof of the room, he must calculate the distance from point A to point D

We have to find the distance of AD

Sin 25 = 7/x

x is the distance of AD

x=7/sin 25

x=16.6 ft

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Using Integration,  Area of the curve is 16/3 unit² and the maximum height of the curve is 2 unit.

What exactly is integration?

Integration is a fundamental concept in calculus, which is a branch of mathematics that deals with rates of change and accumulated quantities. Integration is the process of finding the integral of a function, which is the inverse of differentiation.

Now,

For the maximum height that the curve has we have to

put dy/dx=0

d(4x-2x²)/dx=0

4-4x=0

x=4/4

x=1

and when x=1 then y=4*1-2*1²

=4-2

=2

So, the maximum height of the curve is 2 unit.

and for the area

we need to find y.dx for the curve

So,

y.dx=(4x-2x²).dx

=4x+2x²-2x³-2x³/3 for x=0 to x=2

=8+8-16-16/3

=16/3 unit²

Hence, Area of the curve is 16/3 unit².

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Answer:

y^2 - 4

Step-by-step explanation:

We are given the statement,'The square of y decreased by the quotient of 28 and 7'. i.e. Subtracting the quotient 28/7 = 4 from y^2 . i.e. y^2 - 4

Hence, the expression which represents the given statement is y^2 - 4 .

Answer:

[tex] \frac{4}{3} \pi {r}^{3} = 1332[/tex]

[tex]r = \sqrt[3]{ \frac{1332}{ \frac{4}{3}\pi } } = 6.8[/tex]

The radius of this sphere is about 6.8 feet

Rates of first and second mechanics are 75 and 60 per hour respectively.

A mathematical statement or relation between two or more numeric values, variable and mathematical operations via equal sign is called an Equation.

Elimination method is a kind of method to solve simultaneous equations in two variables. In elimination method we compare coefficient of one of two variables and in next step we eliminate that variable using addition or subtraction and form another relation with only one variable and find the value for that one variable and then substituting that value initial equation we can get the value of another variable.

Let the rate of first mechanic and second mechanic be x and y per hour respectively.

Sum of the two rates is 135 per hour. So the suitable equation will be,

x+y = 135 ............... (i)

Since they charged together 1650 after working 10 hours by first and 15 hours by second mechanics. So the suitable equation this time will be,

10x+15y = 1650

5(2x+3y) = 1650

2x+3y = 1650/5

2x+3y = 330 ............... (ii)

Multiplying 2 with equation (i) and then subtracting it from equation (ii) we get,

(2x+3y) - 2(x+y) = 330 - 2*135

2x+3y-2x-2y = 330-270

y = 60

Substituting y=60 in equation (i) we get,

x+60 = 135

x = 135-60 = 75

Hence, the rates charged per hour are 75 and 60 per hour respectively.

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The simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

We can simplify the expression using the following logarithmic rule:

log a + log b = log ab (product rule)

log a - log b = log(a/b) (quotient rule)

c log a = log a^c (power rule)

Using these rules, we can simplify 7 log3x + 4 log3z - 6 log3y as follows:

7 log3x + 4 log3z - 6 log3y

= log3x^7 + log3z^4 - log3y^6 (using the power rule)

= log3(x^7 z^4 / y^6) (using the quotient rule)

Therefore, the simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

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Answer:

We can use a numerical method such as the Newton-Raphson method or the bisection method to approximate the positive zero of the function f(x) = 2x - 16x³ - 3x² - 8x - 2.

Let's use the Newton-Raphson method to approximate the positive zero of f(x). We start by choosing an initial guess x_0, and then compute successive approximations using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n)

where f'(x) is the derivative of f(x). We continue this process until we get an approximation that is accurate enough for our needs.

Let's choose an initial guess of x_0 = 1.5. Then we have:

f(x) = 2x - 16x³ - 3x² - 8x - 2

f'(x) = 2 - 48x² - 6x - 8

Using these expressions, we can compute successive approximations as follows:

x_1 = x_0 - f(x_0) / f'(x_0) = 1.5 - (-23.375) / (-73) ≈ 1.320

x_2 = x_1 - f(x_1) / f'(x_1) = 1.320 - (-12.608) / (-50.673) ≈ 1.141

x_3 = x_2 - f(x_2) / f'(x_2) = 1.141 - (-5.364) / (-35.883) ≈ 1.067

x_4 = x_3 - f(x_3) / f'(x_3) = 1.067 - (-1.949) / (-31.120) ≈ 1.042

x_5 = x_4 - f(x_4) / f'(x_4) = 1.042 - (-0.361) / (-30.251) ≈ 1.029

x_6 = x_5 - f(x_5) / f'(x_5) = 1.029 - (-0.012) / (-30.055) ≈ 1.028

So the positive zero of f(x) is approximately 1.028, rounded to two decimal places.

a) The mean of the mileage is 90.4 miles per day

b) The median of the mileage is 255.5 miles

Given data ,

Let the data be represented as A

Now , the value of A is

A = { 248 176 379 263 202 }

And , Mean = (248 + 176 + 379 + 263 + 202) / 5 = 452 / 5 = 90.4 miles per day (rounded to one decimal place)

Therefore, the mean of the data is 90.4 miles per day.

To find the median of the data, we need to first put the distances in order from least to greatest:

176, 202, 248, 263, 379

There are 5 data points, so the median is the middle value.

Median = (248 + 263) / 2 = 511 / 2 = 255.5 miles

Hence , the median of the data is 255.5 miles

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The complete question is attached below :

The Swamis family went on a vacation. They recorded the number of miles they drove each day. The mileage is shown in the table. Day 1 2 3 4 5 Distance (mi) 248 176 379 263 202 What is the mean of the data? ____miles What is the median of the data? ______miles

Answer:

[tex]192[/tex] [tex]cm^2[/tex]

Step-by-step explanation:

Recall that the formula for the area of a parallelogram is:

[tex]A=bh[/tex]

Where b is the length of the base, and h is the length of the height.

We are given that the base is 24 cm.

So, b=24.

We are also given that the height is 8 cm.

So, h=8.

Let's plug these values into the formula:

[tex]A=bh=\\A=(24)(8)=\\A=192[/tex]

Since area is a two-dimensional measure, we need to label our answer using units squared.

Thus, the area is [tex]192[/tex] [tex]cm^2[/tex]

Area of a parallelogram => [tex]A=bh[/tex]

Where, b=24 cm and h=8 cm

Plug in the known values and solve.

[tex]\Longrightarrow A=bh \Longrightarrow A=(24 \ cm)(8 \ cm) \Longrightarrow A= \boxed{192 \ cm^2}[/tex]

Based on the given data, the age of Mr. Wright currently is 30 years

If Micah is 3 years old, then Lilly is twice as old, which means that

Lilly is 2 * 3 = 6 years old.

Now we know that Mr. Wright is five times as old as his daughter, Lilly, so Mr. Wright's age is:

5 * 6 = 30 years old.

Therefore, Mr. Wright is 30 years old.

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Answer:

To determine the classification of a triangle based on its side lengths, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the shorter sides) is equal to the square of the length of the hypotenuse (the longest side).

For this particular triangle with side lengths 6 cm, 10 cm, and 12 cm, we can apply the Pythagorean theorem to determine whether the triangle is acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is equal to 90 degrees).

Using the Pythagorean theorem, we find:

6^2 + 10^2 = 136

12^2 = 144

Since 136 is less than 144, we know that 6 cm, 10 cm, and 12 cm are the side lengths of a triangle that is obtuse (one angle is greater than 90 degrees), because the longest side (the hypotenuse) is greater than the sum of the squares of the lengths of the other two sides.

Therefore, the correct answer is: obtuse, because 6^2 + 10^2 < 12^2.

The correct answer is B) |x| > 6 for the given statement

What is meant by the statement?

A statement is a declarative sentence that can be either true or false. It is a proposition that can be proven using logical reasoning or evidence. Statements are the building blocks of mathematical proofs and are used to establish the truth of mathematical theories and concepts.

According to the given information

The statement “the absolute value of x is greater than 6” can be expressed as an inequality in the following way:

|x| > 6

This means that the distance between x and 0 on the number line is greater than 6 units. In other words, x can be any number that is either less than -6 or greater than 6.

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Answer:

Step-by-step explanation

The answer is 72. 2 x 36 equals 72.

Answer:

B

[tex]6^{-7}[/tex] is equivalent to 1/279936 which is basically [tex]\frac{1}{6^{7}}[/tex]

Answer:

(m-3)^2

Step-by-step explanation:

(m^2-6m+9) is factored by using this formula:
(a-b)^2=a^2-2ab+b^2.

Therefore, we can substitute the values into this equation.

m^2=a^2,

-6m=-2ab,

9=b^2.

Solving for b in the third equation, b is equal to 3 or -3. However, as this equation is negative, then it must be -3.

(m-3)^2

The equation of circle in the standard with given center and radius is  [tex](x+3)^{2} + (y-4)^2[/tex] = 49.

What is equation of circle?

Every point in a plane that is at a certain distance from the center point forms a circle. In order to go around a curve while maintaining a constant distance from another point, a moving point in a plane must follow a specific path.

The following is the typical form for expressing the equation of a circle:

[tex](x-h)^{2} + (y-k)^2 = r^2[/tex]

Here,

(h, k) represents the center and r is the radius.

We are given that the center is (-3, 4) and the radius is 7.

Now, using the standard form, we get

⇒ [tex](x-(-3))^{2} + (y-4)^2 = 7^2[/tex]

⇒ [tex](x+3)^{2} + (y-4)^2[/tex] = 49

Hence, the equation of circle in the standard with given center and radius is  [tex](x+3)^{2} + (y-4)^2[/tex] = 49.

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Since, there are multiple questions so the question answered above is attached below.

Answer:

2011: 0.3×750= 225

therefore, 750-225=525

2012: 0.15 × 525= 78.75

therefore, 525 + 78.75= 603. 75

bag of coffee: mass (kg)

1: 55

603.75: x

x= 55 × 603.75

=33206.25 Kg

33206.25÷1000= 332.0625

tonne: shillings

1:7900

332.0625: x

hence, x= 2623293.75 shillings

8690× 332.0625= 2885623. 125 shillings

The first bag has a better unit price, at $7.01 per pound compared to $7.13 per pound for the second bag. Based on the unit price, the first bag is a better buy.

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It involves the use of variables, which are represented by letters or other symbols, to represent unknown quantities and to formulate and solve equations and inequalities.

The fundamental operations of algebra include addition, subtraction, multiplication, and division, which are used to manipulate the variables and simplify expressions. Algebra also involves the use of exponents, which are used to represent repeated multiplication, and logarithms, which are used to represent the inverse of exponents.

Algebra is used in a wide range of applications, including science, engineering, economics, and statistics, to model and analyze various phenomena. It is also used as a tool for problem-solving and decision-making, and it provides a powerful framework for reasoning and abstraction in many areas of mathematics and beyond.

To find the unit price, we divide the total price of each bag by its weight:

For the first bag:

Unit price = Total price / Weight = 13.88 / 1.98 = 7.01 dollars per pound

For the second bag:

Unit price = Total price / Weight = 38.99 / 5.46 = 7.13 dollars per pound

Therefore, the first bag has a better unit price, at $7.01 per pound compared to $7.13 per pound for the second bag.

Thus, based on the unit price, the first bag is a better buy.

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The complete question is:

Chau paid 13.88 for a 1.98- pound bag of shrimp at one store. The following week, he paid 38.99 for a 5.46 -pound bag at another store.

Find the unit price for each bag. Then state which bag is better buy based on the unit price.

A relationship between two definitions can be seen through the idea of magnitude or distance.

Finding an absolute value of a number requires us to inspect the difference between that figure and zero on a number line; this amount is always positive regardless of whether the initial number was negative or positive. To illustrate, the absolute value of -5 is 5 since there is only five units separating it from zero.

The absolute value primarily entails a totality- recognizing the entirety of someone's peculiarity independent of their direction. It serves as a method of measuring the scope or size of a number without any external parameters or assessment.

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Answer:

[tex]\huge\boxed{\sf Yes.}[/tex]

Step-by-step explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

[tex]\rule[225]{225}{2}[/tex]

The  length of rope Jungle John  will he need to accomplish this activity is 30 feet.

the formula for arc length is

L = rθ

where L = length of the arc,

r =e radius of the circle,

θ = central angle of the arc in radians.

θ = (115∘/180∘)π = 2.0089 radians

60 feet = r(2.0089 radians)

r = 60 feet / 2.0089 radians

r = 29.85 feet

r is approximated to 30 feet

Therefore, Jungle John will need a rope with a length of at least 30 feet to swing from tree A to tree B and complete an arc of at least 60 feet with a central angle of 115∘.

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When 3 is divided by 2/5 , the answer is 7.5

Let's compare our whole number and fraction so that we can see the issue we are attempting to tackle.

3 divided by 2/5

In this case, creating a new numerator just requires multiplying the numerator by the full number. After that, the original numerator becomes the new denominator.

3*5/2 = 15/2

Most people prefer to express results in decimals, and all you have to do to do so is divide the numerator by the denominator:

15/2 = 7.5

The portion written above the horizontal line is referred to as the numerator. Example: 2/5 ,here 2 is numerator.

A decimal number consists of both a whole number and a fractional number. The numerical value of complete and partially whole amounts is expressed using decimal numbers, which are in between integers.

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The complete question is

what happens when 3 divide by 2/5ths in a facrtion?

Answer:

Her rate of mowing lawns per hour is 4 lawns to one hour

Step-by-step explanation:so on a table you divide 4÷4=1 then you do the same thing for the 16÷4=4. So Oliva can mow 4 lawns per hour

Answer:

the value of x is 7

Step-by-step explanation:

First, find the half of the perimeter that is 36 divided by 2 which is 18

Next, write like this

18= l+w( length = width)

which means you have to get the sum of 18

so try sums of 18 randomly like

17 + 1

11 + 7

16+2 etc

but the thing is the value of x must be the same it must not be different so

11 + 7 will be suitable because

11 = 7 + 4

7 = 2 x 7 - 7 = 7

and to find the area which is l x b

11 x 7= 77sq. cm

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Answer:

x=7

Step-by-step explanation:

7+4=11(2)=22

2(7)-7= 14-7= 7(2)=14

22+14=36