Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.
240 π cm 2
312 π cm 2
120 π cm 2

Answer: sorry downbad for points god bless

Step-by-step explanation:

The probabilities are;

(a) 0.5648

(b) 0.3497

(c) 0.0855

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

Given:

A table shows the smoking habits of college students.

a) If a student is chosen at random, the probability of getting someone who is a woman or a heavy smoker is,

= P(woman) + P(heavy smoker) - P(a woman and a heavy smoker)

= 213/386 + 10/386 - 5/386

= 0.5648 to 4 decimal places.

b) If two students are chosen at random without replacement, the probability of getting both who are non-smokers and a man is,

= P(non smoker and man)

= 135/386

= 0.34974093264

= 0.3497

c) If a student is chosen at random, the probability of getting someone who is a regular smoker given the person is a woman is,

= P( regular smoker and a woman)

= 33/386

= 0.08549222797

= 0.0855

Therefore, 0.0855 is the probability.

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Answer:

[tex]18x^3-33x^2+20x-4[/tex]

Step-by-step explanation:

Given

[tex](3x-2)^2(2x-1)[/tex]

Lets simplify.

Rewrite [tex](3x-2)^2[/tex] as  [tex](3x-2)(3x-2)[/tex].

[tex](3x-2)(3x-2)(2x-1)[/tex]

Expand using the FOIL method.

Apply the distributive property.

[tex]\left(3x(3x-2)-2(3x-2)\right)(2x-1)[/tex]

[tex](3x(3x)+3x*-2-2(3x-2))(2x-1)[/tex]

[tex](3x(3x)+3x*-2-2(3x)-2*-2)(2x-1)[/tex]

Rewrite using the commutative property and simplify.

[tex](3*3x*x+3x*-2-2(3x)-2*-2)(2x-1)[/tex]

[tex](3*3(x*x)+3x*-2-2(3x)-2*-2)(2x-1)[/tex]

[tex](3*3x^2+3x*-2-2(3x)-2*-2)(2x-1)[/tex]

[tex](9x^2+3x*-2-2(3x)-2*-2)(2x-1)[/tex]

[tex](9x^2-6x-2(3x)-2*-2)(2x-1)[/tex]

[tex](9x^2-6x-6x-2*-2)(2x-1)[/tex]

[tex](9x^2-6x-6x+4)(2x-1)[/tex]

[tex](9x^2-12x+4)(2x-1)[/tex]

Expand by multiplying each term in the first expression by each term in the second expression.

[tex]9x^2(2x)+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

Rewrite using the commutative property and simplify.

[tex]9*2x^2x+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

[tex]9*2(x*x^2)+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

[tex]9*2x^3+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

[tex]18x^3+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

[tex]18x^3-9x^2-12x(2x)-12x*-1+4(2x)+4*-1[/tex]

Rewrite using the commutative property and simplify.

[tex]18x^3-9x^2-12*2x*x-12x*-1+4(2x)+4*-1[/tex]

[tex]18x^3-9x^2-12*2x^2-12x*-1+4(2x)+4*-1[/tex]

[tex]18x^3-9x^2-24x^2-12x*-1+4(2x)+4*-1[/tex]

[tex]18x^3-9x^2-24x^2+12x+4(2x)+4*-1[/tex]

[tex]18x^3-9x^2-24x^2+12x+8x+4*-1[/tex]

[tex]18x^3-9x^2-24x^2+12x+8x-4[/tex]

Simplify by adding terms.

[tex]18x^3-33x^2+12x+8x-4[/tex]

[tex]18x^3-33x^2+20x-4[/tex]

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The weighted average of the data is 37.

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                            When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

the weighted average = ( 20 *3 + 30 *2 + 50*5 )/3+2+5

                                  = 60 + 60 + 250/10

                                 = 37

Thus, the weighted average of the data is 37.

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The answer to the "different" question is: 32

The answer to the "same" question is: 2

The equation x = √-x + 6 cannot have any real solutions, because taking the square root of a negative number is not a real number. So the answer is none of the options listed.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept. Identity equations and conditional equations are the two types of equations. An identity holds true for all possible values of the variables. A conditional equation is valid only for certain values of the variables. An equation consists of two expressions joined by an equals sign ("=").

Here,

The equation x = √-x + 6 cannot have any real solutions, because taking the square root of a negative number is not a real number.

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tan(-20°) ≅ -0.364

Trigonometric functions are the functions which relates an angle of right-angled triangle to ratios of two sides of the triangle. It is a real function.

tan(-20°) = - tan(20°)

tan 20° = 0.363970234

tan 20°≅ 0.364

tan (-20°) = -tan 20° ≅ 0.364

Hence, tan(-20°)≅0.364.

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The end behavior of f(x) = -x^4 + x^2 - x + 1 is that it approaches negative infinity as x approaches both positive and negative infinity.

The end behavior of a function refers to the limiting behavior of the function as x approaches positive infinity and negative infinity.

For the function f(x) = -x^4 + x^2 - x + 1, as x approaches positive infinity, the x^4 term dominates, and the value of the function approaches negative infinity.

As x approaches negative infinity, the x^4 term again dominates and the value of the function approaches negative infinity.

Therefore, the end behavior of f(x) = -x^4 + x^2 - x + 1 is that it approaches negative infinity as x approaches both positive and negative infinity.

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Answer:

Step-by-step explanation:

If 6/2 = 3 then x/2 = 23.7

Multiply 2 to both sides

then we get x=47.4

The time it would take for the rock to reach the ground is given as follows:

3.19 seconds.

The quadratic equation that models a projectile's height is given as follows:

y = -9.81t² + v(0)t + h(0).

In which:

The parameters for this problem are given as follows:

v(0) = 0, h(0) = 100.

The rock reaches the ground when y = 0, hence:

9.81t² = 100

t = sqrt(100/9.81)

t = 3.19 seconds.

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The number which correctly represents the decimal 0.6 as a whole number is; 1.

It follows from the task content that the number which correctly represents the number 0.6 as a whole number is to be determined.

Since the given number is 0.6. It follows that the closest whole number can be determined by rounding off to th nearest whole number.

Hence, by rounding off; we have; 1.

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Answer:

15

Step-by-step explanation:

The distance can't be negative.

20-5=15

The option c yields the greatest balance after 8 years.

The formula for compounding Interest

n times a year :

[tex]A=P(1+\frac{r}{100n})^{nt}\\[/tex]

(a)

Investing $20,000 implies P=20000 and t=8,

interest is compounded daily, which means that n=365 r is given as 6%.

Substitute these values in the formula to get find balance after 8 years,

[tex]20000(1+\frac{6}{100*365})^{365*8}=$ $ 32320.21[/tex]

(b)

$ 30,000 after eight years, is the final balance. Because there is no time left to invest it,

(c)

We get $8000, which we can invest for 8 years,

and we will get $20,000 after 4 years which we can invest for 4 years.

final balance on the $ 8000 invested for 8 years can be found using the formula substitute p=8000, t=8 and r=6%, n=365.

[tex]8000(1+\frac{6}{100*365})^{365*8}=12928.09$[/tex]

final balance on the $ 20,000 invested for 4 years can be found using the formula P=20,000, t=4, and r=6, and n=365.

= 25424.58.

Under the option c, the final balance is 12928.09+25424.58=38352.57

(d)

under this option, we get $ 9000, which we can invest for 8 years.

we will again get 9000 after 4 years, which we can invest for four year,

we will again get

9000 after 8 years, for which we have not invested.

final balance on the 8000 invested for 8 years can be found using above formula p=9000, t=8 and r=6

=14544.1$

final balance of 9000 invest for four years is = 11441.02

total final balance = 34985.12$

Option c yields the greatest balance after 8 years.

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The solution to the given values by reducing them to their lowest term is 7m/h

The reduction of the given values to the lowest term possible can be achieved by using the long division process. So, we set up the division problem in a long division format.

5 || 35

Divide 35 by 5 . Place this digit in the quotient on top of the division symbol.

     7

5 || 35

Multiply the newest quotient digit (7) by the divisor 5.

     7

5 || 35

     35

Subtract 35 from 35.

     7

5 || 35

     35

       0

The result of the division to the lowest term possible is 7 m/h.

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Answer:

8

Step-by-step explanation:

The green team has 11 9-year-olds, so the red team has 2 * 11 = 22 10-year-olds.

Since each team has 15 players, the red team has 15 - 22 = -7 more 10-year-olds than the maximum number of players it can have.

Therefore, the red team must have 22 - 7 = 15 - 7 = 8 9-year-olds.

The analisis and interpretation of functions, its domain and its range, indicates the following conclusions:

Case 2 - a) Domain: - 15 ≤ x < 15, b) Range: - 200 ≤ y < 400, c) f(0) = 100, d) f(x) = 0, when x = - 5.

Case 3 - g(1) = 6, g(x) = 1 when x = - 2, g(x) = 2 when x = 0 or x = 4.

In this question we must answer two exercises on functions. In the second case we have the representation of a function on Cartesian plane, whose domain is the set of all values on horizontal axis and range is for vertical axis.

By direct inspection, we find the following information:

a) Domain

- 15 ≤ x < 15

b) Range

- 200 ≤ y < 400

c) f(0) = 100

d) f(x) = 0, when x = - 5

The third case includes a table with domain and range of a functions, this must be interpreted to fill the following blanks:

g(1) = 6

g(x) = 1 when x = - 2

g(x) = 2 when x = 0 or x = 4

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The value of x from the given kite is 254.

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

Given that, m∠N=53°, ∠T=67° and m∠F=(1/2 x-8)°

In kite the two angles are equal where the unequal sides meet.

So, m∠W=m∠F=(1/2 x-8)°

Now, m∠N+m∠T+m∠W+m∠F=360°

53°+67°+(1/2 x-8)°+(1/2 x-8)°=360°

120+x-16=360

x=360-104

x=254

Therefore, the value of x is 254.

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The complete statement is given below.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

The graph for Airplane A shows the speed at which it travels as a function of time.

The graph for Airplane B shows the distance it travels as a function of time.

Part A:

From the graph,

the speed for each airplane from 0 to t₁:

Airplane A travels at a speed that is increasing.

Airplane B travels at a speed that is increasing.

Part B:

From the graph,

the speed for each airplane from t₁ to t₂:

Airplane A travels at a speed that is constant.

Airplane B travels at a speed that is constant.

Hence, the solutions are given above.

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Answer:

Step-by-step explanation:

If Martha needs 28 strawberries for every 4 smoothies she makes, then she needs 7 strawberries per smoothie.

μ = 80, σ = 10 represents the parameters of the distribution. Parameters are the characteristics used to define a dataset.

A parameter in mathematics is an element that is transferred from one equation to another. In statistics, it has a different meaning. It's a value that provides information about a population as opposed to a statistic, which provides information about a relatively tiny portion of the population. Because everyone (or everything) was surveyed to determine the parameter, it never changes. For instance, you could be curious about what the average age is in your class. Perhaps you polled everyone and discovered that the median age was 25. That qualifies as a parameter because you polled the entire class. Imagine if you were curious about the average age of the students in your grade or year.

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Answer:

OptionB. Graph O

Step-by-step explanation:

Graph O shows She knits one scarf every 4 days which means it is the correct Graph and option B will be the correct answer

For the given triangle the value of z = 1, y = 6, and x = 4.75.

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The value of x,y, and z will be calculated by the property states that the ratio of the median line passing from the centroid of the triangle is divided into the ratio of 1: 2.

The value of x,

( 2x - 6 ) / 7 = 1 / 2

2 ( 2x - 6 ) = 7

4x - 12 = 7

4x = 19

x = 19 / 4

The value of y,

3 / y = 1 / 2

y = 3 x 2

y = 6

The value of z,

2z / 4 = 1 / 2

4z = 4

z = 1

Therefore, the values are z = 1, y = 6, and x = 4.75.

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Answer: Y-axis

Step-by-step explanation:

It is reflected across the y-axis , which cam be seem as it goes up

Answer: It's the Y-Axis

Step-by-step explanation:

the green triangle and the orange triangle are flipped from left and right, that means its on the y axis. if it was up and down it would be x axis.

Answer: The derivative of f(x) = 4x^3 - 5x^2 + 7x - 10 is given by f'(x) = 12x^2 - 10x + 7.

Step-by-step explanation:

Rewritten the Expression Using Logical AND Parentheses as "(X > 0) AND (X < 10)"

A logical operator is a symbol or keyword used in a programming language to perform a logical operation on one or more values.

The expression "0 < X < 10" is often misinterpreted as a range for a single variable X.

However, in most programming languages, this expression is considered an error because it does not explicitly state the logical relationship between the two inequalities.

To correct the expression, we use the logical operator AND to connect the two inequalities. The resulting expression, "(X > 0) AND (X < 10)", states that a variable X is within the desired range if it is greater than 0 and less than 10. The parentheses are used to make the expression clearer and to ensure that the logical operation is applied to the correct values.

Hence, "(X > 0) AND (X < 10)"

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Answer:

(b) four units below the xy-plane (in the negative z-direction).

Step-by-step explanation:

here's your answer for your questions

Answer: In an 8-hour day, the factory produces 32 tables. In 1 day, the factory produces 32 tables.

In 3 days, the factory will produce 3 days * 32 tables per day = 96 tables.

Step-by-step explanation: