What is the area of the shaded region?​

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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To calculate the monthly growth rate, we need to convert the annual growth rate of 5.2% to a monthly rate. Since there are 12 months in a year, we divide the annual growth rate by 12.

To convert the annual growth rate to a monthly growth rate, we divide the annual growth rate by the number of months in a year (12). By doing this, we distribute the annual growth evenly over each month. The resulting value will represent the percentage by which the population grows each month. In this case, the annual growth rate of 5.2% is divided by 12 to obtain the monthly growth rate of approximately 0.4333%.

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The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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Given:

Seeds planted = \(1\dfrac{2}{3}\) rows

Crows ate = \(1\dfrac{1}{5}\) rows

To find:

The remaining rows of seeds.

Solution:

According to the question,

Remaining rows of seeds = Seeds planted - Crows ate

                                          \(=1\dfrac{2}{3}-1\dfrac{1}{5}\)

                                          \(=\dfrac{1(3)+2}{3}-\dfrac{1(5)+1}{5}\)

                                          \(=\dfrac{3+2}{3}-\dfrac{5+1}{5}\)

                                          \(=\dfrac{5}{3}-\dfrac{6}{5}\)

Taking LCM, we get

\(=\dfrac{5(5)-3(6)}{15}\)

\(=\dfrac{25-18}{15}\)

\(=\dfrac{7}{15}\)

Therefore, \(\dfrac{7}{15}\) rows of seeds are left.

Answer:

6 hours.

Step-by-step explanation:

Here's my work.

Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.

Then, you'd put -4 on the side with 8t, because you can take off $4.

So, the setup would be;

44 = 8t - 4.

Answer:

7 minutes 48 seconds.

Step-by-step explanation:

Average speed for the whole journey is

distance / time, so

105 = (2*80)/ (t + t2)

where t is the time when it is moving and t2 is the time it stays at town Q.

Time for journey P to Q

= distance / speed

= 80 /120

= 2/3 hours,

Time for journey Q to P

= 80/110

= 8/11 hours

So t = 2/3 + 8/11

= 46/33 hours.

- and substituting in the equation for the whole journey:

160 / (46/33 + t2) = 105

105*46/33 + 105*t2 = 160

105 t2 = 160 - (105*46)/33

           = 160 - 146.364

           = 13.636

t2 = 13.636/105 = 0.1299 hours.

= 7 minutes 48 seconds.

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:  The area is \(w^{2}\) + 18w

Step-by-step explanation:

We could represent the length of the yard by  l = w+18    and the width as w .

And to find the area we will have to multiply  the length by the width.

A=  w(w+18 )    multiply

A= \(w^{2}\) + 18w

Answer:

27^2 yards

Step-by-step explanation:

Perimeter  = 2W + 2L  ..... and the  width is 18 more than the length....therefore  

Perimeter  = 2[L + 18] + 2L

72  = 2L + 36 + 2L

72  = 4L  + 36      subtract 36 from each side

36  =  4L    divide both sides by 4

9  = L      and the width is 18 more   = 27

So....the area  = W x L    =  27 x 9   =  243 ft^2 = 27^2 yards

(divide the area value by 9 )

Answer: 1/5

Step-by-step explanation:

The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.

First, let's expand both sides of the equation:

2x(x - 8) = (x + 1)(2x - 3)

\(2x^2 - 16x = 2x^2 - x - 3x + 3\)

Now, combine like terms on the right-hand side:

\(2x^2 - 16x = 2x^2 - 4x + 3\)

Next, subtract \(2x^2\) from both sides to get the x terms on one side:

-16x = -4x + 3

Now, bring all the x terms to one side by subtracting -4x from both sides:

-16x + 4x = 3

Simplify the left-hand side:

-12x = 3

Finally, solve for x by dividing both sides by -12:

x = 3 / -12

x = -1/4

So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.

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The unit price is $2.5

34 mile taxi ride will cost $85

18 mile taxi ride costs $7.20

The cost of 1 mile is

= 18/7.20

= 2.5

The unit price is $2.5 for 1 mile

The cost of 34 mile taxi ride can be calculated as follows

= 2.5 × 34

= 85

Hence the 34 mile taxi ride will cost $85

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Explanation

We are given the following:

We are required to determine the surface area of a cylinder. This can be achieved by using the formula:

Hence, the answer is 301.44m².

Answer:

6h² + 3h + 5

Step-by-step explanation:

7h² + 2h + 5 - h² + h

= 7h² - h² + 2h + h + 5

= 6h² + 3h + 5

Answer:

50π feet^2

Step-by-step explanation:

area of the circle = 10^2 π = 100π feet^2

A of the sector = 100π/2 = 50π feet^2

it A

Step-by-step explanation:

Answer:

80 tsp.

Step-by-step explanation:

400 divided by 5 is 80, so 80 tsp's.

Answer:

80 tsp.

Step-by-step explanation:

400 mL = 80 tsp

None  of the given pairs of lines are perpendicular. The answer is none of the above (E).

To determine which two lines are perpendicular, we need to check whether the slopes of the lines are negative reciprocals of each other. If they are, then the lines are perpendicular.

The slope of a line can be determined by examining the coefficient of x in the line's equation.

For Equation A, the slope is -3 (the coefficient of x is 3, and the slope is the negative of the coefficient).
For Equation B, the slope is 3 (the coefficient of x is 6, and the slope is the coefficient divided by -2).
For Equation C, the slope is 3 (the coefficient of x is 3).
For Equation D, the slope is 13.

Now we can check which two lines have slopes that are negative reciprocals of each other. The negative reciprocal of 3 is -1/3, and the negative reciprocal of -3 is 1/3. None of the pairs of lines have slopes that are negative reciprocals of each other. Therefore, none of the given pairs of lines are perpendicular. The answer is none of the above (E).

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Answer:

by using Pythagoras law

16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal

16²=4x⁴+4x⁴

16²=16x⁴

16=x⁴

\(x = \sqrt[4]{16} \)

x=2

Answer:

to my knowledge of this it is 28

Step-by-step explanation:

because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps

Answer:

16

16+6=22

22-8=14

therefore, Rachel had 16 marbles in the start. Hope this helps! :)

Answer:

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

The system stable with P(1)=1.7 and P(-1)=2.7. The correct answer is b.

To test the stability of a discrete control system with an open loop transfer function, we need to examine the roots of the characteristic equation, which is obtained by setting the denominator of the transfer function equal to zero.

The characteristic equation for the given transfer function G(z) is:

z^2 - 1.2z + 0.2 = 0

We can find the roots of this equation by factoring or using the quadratic formula. In this case, the roots are complex conjugates:

z = 0.6 + 0.4i

z = 0.6 - 0.4i

For a discrete control system, stability is determined by the location of the roots in the complex plane. If the magnitude of all the roots is less than 1, the system is stable. If any root has a magnitude greater than or equal to 1, the system is unstable.

In this case, the magnitude of the roots is less than 1, since:

|0.6 + 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

|0.6 - 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

Therefore, the system is stable.

The correct answer is:

b. Stable with P(1)=1.7 and P(-1)=2.7

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I hope this is a comment, I'm on a mobile device: please specify what shapes. I would gladly answer.

Answer:

not entirely sure, but i think the answer should be 1,080 :)

Answer:

45

Step-by-step explanation:

ik, this

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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Answer:

Step-by-step explanation:

Add, Added to, the sum of, more than, increased by, the total of, plus. +. Add x to y x + y y added to 7.

Amplitude of f  -\(x^{2}\)+100x - 1200 is 350.

To find the amplitude of a periodic function, we need to find the maximum and minimum values of the function over one period and then take half of their difference.

In this case, the function f(x) is given by:

f(x) = -\(x^{2}\) + 100x - 1200, 0 ≤ x ≤ 100

To find the maximum and minimum values of f(x) over one period, we can use calculus by taking the derivative of f(x) and setting it equal to zero:

f'(x) = -2x + 100

-2x + 100 = 0

x = 50

So the maximum and minimum values of f(x) occur at x = 0, 50, and 100. We can evaluate f(x) at these values to find the maximum and minimum values:

f(0) = -\(0^{2}\) + 100(0) - 1200 = -1200

f(50) = -\(50^{2}\) + 100(50) - 1200 = -500

f(100) = -\(100^{2}\) + 100(100) - 1200 = -1200

Therefore, the maximum value of f(x) over one period is -500 and the minimum value is -1200. The amplitude is half of the difference between these values:

Amplitude = (Max - Min)/2 = (-500 - (-1200))/2 = 350

Therefore, the amplitude of f(x) is 350.

Correct Question :

suppose that f is a periodic function with period 100 where f(x) = -\(x^{2}\)+100x - 1200 whenever 0 ≤x≤100. what is amplitude of f.

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There are 8,519,680 hexadecimal numbers. The result is obtained by using the multiplication principle.

Hexadecimal number system is a numbering system with the base of 16. The 16-digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. They are usually denoted by the subscript 16. For example, 429AD₍₁₆₎.

How many combination of hexadecimal numbers that can be made if:

Let's broke the problem into 3 cases.

Using the multiplication principle, we can multiply them all.

The combination of hexadecimal numbers is

= 10 × 13 × 16³

= 8,519,680

Hence, the combination that can be made is 8,519,680 hexadecimal numbers.

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The probability that the result is a composite number is calculated as 0.99 using the given data.

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty).

Let,

A -  the result is a composite number

A' - the result is not a composite number

Number of possible numbers appearing on dice = 6⁵ = 7776

A' = {11111, 21111, 12111, 11211,  11121, 11112}

Total number of results that are not composite numbers = 6

Total number of results that are composite numbers = 7776-6

                                                                                        = 7770

Probability that the result is a composite number = 7770/7776

                                                                                  = 0.99

Therefore, the probability that the result is a composite number is calculated as 0.99.

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Answer::

x=2339÷3 =13x - 10 = 13x = 23

Step-by-step explanation:

becuz i said!!!!!!!!