Please help...Experimental Probability and Theoretical Probability..I'm getting the wrong answer

Please Help...Experimental Probability And Theoretical Probability..I'm Getting The Wrong Answer

Answers

Answer 1

Answer:

  (a)  0.413

  (b)  0.400

  (c)  1 — ... the difference should be small

Step-by-step explanation:

Given a table of experimental results from 1000 spins and a diagram of a spinner, you want the experimental and theoretical probabilities of landing on Red. You also want a statement comparing them.

(a) Experimental

The table tells you 1000 experiments resulted in 413 reds. The experimental probability of landing on red is ...

  413/1000 = 0.413

(b) Theoretical

The diagram of the spinner shows 10 equal segments, of which 4 are red. The theoretical probability of landing on red is ...

  4/10 = 0.400

(c) Comparison

The presumption in statistics is that any experiment repeated a sufficient number of times should see experimental results approaching theoretical results. We expect a small difference between experimental and theoretical results for a large number of trials.


Related Questions

Calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 585.0 nm. (c = 3.00 X 10⁸ m/s)

Answers

The frequency in hertz of electromagnetic radiation which has a wavelength of 585nm is 5.13×10¹⁴ Hz.

The frequency(f) of electromagnetic radiation is related to its wavelength (λ) by the equation : f = c/λ;

Where, c = the speed of light in a vacuum, which is  3.00×10⁸ m/s.

So, to calculate the frequency of radiation with a wavelength of 585.0 nm, we need to convert the wavelength to meters:

⇒ 585.0 nm = 585.0×10⁻⁹ m;

Substituting the value in the above formula,

We get,

⇒ f = c/λ = 3.00×10⁸/(585.0×10⁻⁹)

⇒ 5.13×10¹⁴ Hz.

Therefore, the frequency of electromagnetic radiation is approximately 5.13 × 10¹⁴ Hz.

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QUESTION THREE (30 Marks) a) For a group of 100 Kiondo weavers of Kitui, the median and quartile earnings per week are KSHs. 88.6, 86.0 and 91.8 respectively. The earnings for the group range between KShs. 80-100. Ten per cent of the group earn under KSHs. 84 per week, 13 per cent earn KSHs 94 and over and 6 per cent KShs. 96 and over. i. Put these data into the form of a frequency distribution and obtain an estimate of the mean wage. 15 Marks​

Answers

Answer:

the answer would be 100 I guess

Marcia Gadzera wants to retire in San Diego when she is 65 years old. Marcia is now 50 and believes she will need $90,000 to retire comfortably. To date, she has set aside no retirement money. If she gets interest of 10% compounded semiannually, how much must she invest today to meet her goal of $90,000?

Answers

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

I will mark you brainiest!

SSS is used to prove two triangles are congruent.
A) False
B) True

Answers

Answer:

A

Step-by-step explanation:

because___________________________________

Answer:

B) True

Step-by-step explanation:

SSS or Side-Side-Side is used to prove two triangles are congruent.

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.1, and the sample standard deviation, s, is found to be 4.1.

(a) Construct a 95% confidence interval about u if the sample size, n, is 34.
Lower bound: Upper bound:
(Use ascending order. Round to two decimal places as needed.)

Answers

In response to the stated question, we may state that Hence, the 95% CI function for u is (16.72, 19.48), rounded to two decimal places in increasing order.

what is function?

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.v

We use the following formula to create a confidence interval around the population mean u:

CI = x ± z*(s/√n)

where x represents the sample mean, s represents the sample standard deviation, n represents the sample size, z represents the z-score associated with the desired degree of confidence, and CI represents the confidence interval.

Because the degree of confidence is 95%, we must calculate the z-score that corresponds to the standard normal distribution's middle 95%. This is roughly 1.96 and may be determined with a z-table or calculator.

CI = 18.1 ± 1.96*(4.1/√34)

CI = 18.1 ± 1.96*(0.704)

CI = 18.1 ± 1.38

Hence, the 95% CI for u is (16.72, 19.48), rounded to two decimal places in increasing order.

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Work out x. Area=194
Please help due in 2 hourss

Answers

Step-by-step explanation:

Please mark as brainliest

PLEASE HELP 30 POINTS!

Answers

Answer:

57

57

123

123

57

57

123

that's all.

Answer:

m<1 = 57°

m<2 = m<1 = 57°

m<3 = x = 123°

m<4 = x = 123°

m<5 = m<1 = 57°

m<6 = m<5 = 57°

m<7 = m<4 = 123°

Step-by-step explanation:

[tex]{ \tt{m \angle 1 + x = 180 \degree}} \\ { \colorbox{silver}{corresponding \: angles}} \\ { \tt{m \angle 1 = 180 - 123}} \\ { \tt{ \underline{ \: m \angle 1 = 57 \degree \: }}}[/tex]

which piece of required information is missing from the following prescription?premarin tabs0.625 mg

Answers

The given prescription lacks important information about the frequency and route of administration. Knowing how often a medication should be taken and how it should be administered is crucial for ensuring that patients receive the appropriate dose and achieve the desired therapeutic effect.

Without the frequency information of how (e.g., orally, intravenously, etc.) and when  (e.g., daily, twice daily, etc.)  to take medicine on prescription, patients may take the medication incorrectly or miss doses, potentially leading to ineffective treatment or adverse effects.

Healthcare providers should always provide clear and complete instructions for medication use to ensure patient safety and optimal treatment outcomes.

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pls helppppppp explain !!!

Answers

Answer:

Step-by-step explanation:

[tex]{ \tt{ \frac{ {x}^{ - 3} . {x}^{2} }{ {x}^{ - 3} } }} \\ \\ \dashrightarrow{ \tt{x {}^{( - 3 + 2 - ( - 3))} }} \\ \dashrightarrow{ \tt{ {x}^{( - 3 + 2 + 3)} }} \: \: \: \: \\ \dashrightarrow{ \boxed{ \tt{ \: \: \: \: {x}^{2} \: \: \: \: \: \: }}} \: \: \: \: [/tex]

Let f(x)=-3x-1 and g(x)=x - 4 Find (fxg)(-1).​

Answers

The value of the equation (fxg)(-1) is 10.

What is Equation?

An equation is a mathematical statement that shows that two expressions are equal. It usually includes variables, which are represented by letters or symbols, and constants, which are fixed values.

What are the different types of Equations?

There are several types of equations in mathematics. Here are some of the most common types:

Linear equation: An equation of the form "ax + b = c", where "a", "b", and "c" are constants and "x" is the variable. The graph of a linear equation is a straight line.Quadratic equation: An equation of the form "ax² + bx + c = 0", where "a", "b", and "c" are constants and "x" is the variable. The graph of a quadratic equation is a parabola.

Cubic equation: An equation of the form "ax³ + bx² + cx + d = 0", where "a", "b", "c", and "d" are constants and "x" is the variable. The graph of a cubic equation is a curve that can have one or two humps.

In the given question,

To find (f x g)(-1), we need to evaluate the product of f(-1) and g(-1).

First, we find f(-1):

f(-1) = -3(-1) - 1 = 2

Next, we find g(-1):

g(-1) = -1 - 4 = -5

Now, we can find the product (f x g)(-1):

(f x g)(-1) = f(-1) x g(-1) = 2 x (-5) = -10

Therefore, (f x g)(-1) = -10.

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A box containing 5 balls costs $8.50. If the balls are bought individually, they cost $2.00 each. How much cheaper is it, in percentage terms, to buy the box as opposed to buying 5 individual balls?

Answers

Answer: The total cost of buying 5 balls individually is $2.00 x 5 = $10.00.

The box costs $8.50, which means it is $10.00 - $8.50 = $1.50 cheaper to buy the box.

To calculate the percentage difference, we can use the formula:

% difference = (difference ÷ original value) x 100%

In this case, the difference is $1.50, and the original value is $10.00.

% difference = ($1.50 ÷ $10.00) x 100%

% difference = 0.15 x 100%

% difference = 15%

Therefore, it is 15% cheaper to buy the box than to buy 5 individual balls.

Step-by-step explanation:

Find the values of x and y. ADEF = AQRS
(5y-7) ft
D
E
123⁰
F
S
S
(2x + 2)° R
= 0, y =
Q
38 ft
P

Answers

As the two triangles are congruent to each other, using that we can get the value of x = 13 and y = 9.

What are congruent triangles?

Whether two or more triangles are congruent depends on the size of the sides and angles. As a result, a triangle's three sides and three angles determine its size and shape.

Two triangles are said to be congruent if their respective side and angle pairings are both equal.

Now in the given question,

The triangles are congruent so,

ED = QR

5y -7 = 38

⇒ 5y = 38+7

⇒ y = 45/5

⇒ y = 9

Now as the sum of angles in a triangle are 180°,

∠E +∠D +∠F = 180°

⇒ ∠F = 180 - 123 - 29

⇒ ∠F = 28°

As per congruency,

(2x+2) ° = 28°

⇒ 2x = 28-2

⇒ x = 26/2

⇒ x = 13

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The complete question is:

Find the values of x and y. ADEF = AQRS

(5y-7) ft

D

E

123⁰

F

S

S

(2x + 2)° R

= 0, y =

Q

38 ft

P

Consider the initial value problem y⃗ ′=[33????23????4]y⃗ +????⃗ (????),y⃗ (1)=[20]. Suppose we know that y⃗ (????)=[−2????+????2????2+????] is the unique solution to this initial value problem. Find ????⃗ (????) and the constants ???? and ????.

Answers

The unique solution to the initial value problem of differential equation is y(t) = -t^2 + 2t + 3sin(3t) - 1 with e(t) = -t^2 + 2t + 3sin(3t) - 9, a = 2, and B = -21.

To find the solution to the initial value problem, we first need to solve the differential equation.

Taking the derivative of y(t), we get:

y'(t) = -2t + a

Taking the derivative again, we get:

y''(t) = -2

Substituting y''(t) into the differential equation, we get:

y''(t) + 2y'(t) + 10y(t) = 20sin(3t)

Substituting y'(t) and y(t) into the equation, we get:

-2 + 2a + 10(-2t + a) = 20sin(3t)

Simplifying, we get:

8a - 20t = 20sin(3t) + 2

Using the initial condition y(0) = 2, we get:

y(0) = -2(0) + a = 2

Solving for a, we get:

a = 2

Using the other initial condition y'(0) = 21, we get:

y'(0) = -2(0) + 2(21) + B = 21

Solving for B, we get:

B = -21

Therefore, the solution to the initial value problem is:

y(t) = -t^2 + 2t + 3sin(3t) - 1

Thus, we have e(t) = y(t) - 8, so

e(t) = -t^2 + 2t + 3sin(3t) - 9

and a = 2, B = -21.

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_____The given question is incomplete, the complete question is given below:

Consider the initial value problem >= [22. 2.1]+20). 361) = [2] Suppose we know that (t) = -2t + a 21? + is the unique solution to this initial value problem. Find e(t) and the constants and B. a = B= 8(t) =

How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet {a,b) (b) The alphabet {a,b,c}

Answers

There are 792 strings across a,b, and 27,720 in a,b,c.

(a) We must select five slots for a's in an alphabet of "a,b" before filling the remaining spaces with "b's." Hence, the binomial coefficient is what determines how many strings of length 12 that include precisely five as:

C(12,5) = 792

As a result, there are 792 distinct strings of length 12 that include exactly five a's across the letters a, b.

(b) We may use the same method as before for an alphabet consisting of the letters "a,b,c." The first five slots must be filled with a's, followed by three b's, and the final four positions must be filled with c's. The number of strings of length 12 that contain exactly five a's across the letters "a," "b," and "c" is thus given by:

C(12,5) * C(7,3) = 792 * 35 = 27720

Thus, there are 27,720 distinct strings.

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A cube of sugar is 2cm wide. Calculate the number of cube in a box 720cm³​

Answers

Answer:

V=lwh

=2×2×2=8

720÷8=90

90 cubes

describe all the x -values at a distance of 13 or less from the number 8 . enter your answer in interval notation.

Answers

The set of all x-values that are at a distance of 13 or less from the number 8 in the interval notation is given by  [ -5, 21 ].

The distance between x and 8 is |x - 8|.

Find all the values of x such that |x - 8| ≤ 13.

This inequality can be rewritten as follow,

|x - 8| ≤ 13

⇒ -13 ≤ x - 8 ≤ 13

Now,

Adding 8 to all sides of the inequality we get,

⇒  -13 +  8 ≤ x - 8 + 8 ≤ 13 + 8

⇒ -5 ≤ x ≤ 21

Therefore, all the x-values which are at a distance of 13 or less from the number 8 represented in the interval notation as [ -5, 21 ].

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Question 8 Suppose that W is random variable. Given that P(W ≤6)=0.935 find the probability of it complement, P(W>6)​

Answers

The required probability of W being greater than 6 is 0.065 or 6.5%.

What is Probability?

A probability value represents the likelihood that an occurrence will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.

According to question:

The complement of an event A is the event that A does not occur. In this case, the event A is "W ≤ 6", and its complement is "W > 6".

We are given that P(W ≤ 6) = 0.935. Using the complement rule of probability, we can find the probability of W > 6 as follows:

[tex]$$P(W > 6) = 1 - P(W \leq 6)$$[/tex]

Substituting the given value, we have:

P(W > 6) = 1 - 0.935 = 0.065

Therefore, the probability of W being greater than 6 is 0.065 or 6.5%.

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In the diagram below, IJK~LJK Find g. 5​

Answers

In the diagram given IJK≅LJK ,the length cannot be negative, the only valid solution is g = 6. Therefore, the length of the segment KJ is 6 meters.

What is length?

Length is a physical dimension that measures the distance between two points or the size of an object along one dimension.

It is commonly measured using standard units of length such as meters, feet, inches, and centimeters.

Given that KM is the bisector line of line IM and J is the bisector point on line IL. Two triangles are formed, △IJK and △LJK, on line IL in the upward and downward direction, respectively. We are given the lengths of IK, JN, LM, and KJ, and we need to find the value of g such that IJK≅LJK.

Since the two triangles are similar, their corresponding sides are proportional. Using the side proportionality theorem, we have:

KJ/LM = IJ/JL

Substituting the given values, we get:

g/10 = 5/(4+g)

Cross-multiplying, we get:

g(4+g) = 50

Expanding and simplifying, we get:

g²+ 4g - 50 = 0

Using the quadratic formula, we get:

g = (-4 ± √(4² + 4(50)))/2

g = (-4 ± √(256))/2

g = (-4 ± 16)/2

g = -10 or g = 6

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The scale on a map is 1:320000

What is the actual distance represented by 1cm?

Give your answer in kilometres.

Answers

By answering the presented question, we may conclude that Therefore, 1  expressions cm on the map corresponds to a real distance of 3.2 km. 

what is expression ?

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Scale 1:

320000 means that 1 unit on the map represents his 320000 units in the real world.

To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.

1 kilometer = 100000 cm

So,

1 unit on the map = 320000 units in the real world

1 cm on the map = (1/100000) km in the real world

Multiplying both sides by 1 cm gives:

1 cm on the map = (1/100000) km * 320000

A simplification of this expression:

1 cm on the map = 3.2 km

Therefore, 1 cm on the map corresponds to a real distance of 3.2 km. 

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PLEASE HELP ME YOU WILL BE MARKED BRAINLIEST!!!1

Answers

The experimental probability of winning the contest based on the data of all 3 games is 0.432.

What is experimental probability ?

Experimental probability is a measure of the likelihood of an event occurring based on the results of an experiment or observation. It is determined by dividing the number of times the event occurred by the total number of trials or observations. The more trials or observations conducted, the more accurate the experimental probability will be. Experimental probability is often used in situations where the probability of an event cannot be determined theoretically or where the theoretical probability is difficult to calculate. It is also commonly used in scientific experiments, market research, and other fields where the results of an experiment or observation can be used to make predictions or inform decisions.

Finding the experimental probability of winning the contest :

In this case, the event is winning the contest by choosing a marble from a bag, and the trials are the three games played by Hal.

Total number of players in all three games = 123 + 155 + 172 = 450

Total number of winners in all three games = 52 + 63 + 65 = 180

Experimental probability of winning the contest = Number of winners / Total number of players = 180/450 = 0.432

Therefore, the experimental probability of winning the contest based on the data of all 3 games is 0.432.

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one ticket is drawn at random from each of the two boxes below: 1 2 6 1 4 5 8 find the chance that the both numbers are even numbers.

Answers

The chance that both numbers drawn are even numbers is 8/21.

The probability refers to the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain.

There are 4 even numbers and 3 odd numbers in the first box, and 2 even numbers and 1 odd number in the second box.

The probability of drawing an even number from the first box is 4/7, and the probability of drawing an even number from the second box is 2/3.

By the multiplication rule of probability, the probability of drawing an even number from both boxes is

(4/7) × (2/3) = 8/21

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solve this proportion: 5/a = 3/4

Answers

Answer:

[tex]a = \frac{20}{3}[/tex]

Step-by-step explanation:

What is the correct numerical expression for "one-half the difference of 6 and 8 hundredths and 2?"

one half x (8 − 6) + 2
one half x (6 + 8 + 2)
one half x (6.08 − 2)
one half − (6.08 ÷ 2)

Answers

Answer: c

Step-by-step explanation: i dont have one

1/2 x (6.08 - 2) (6.08 - 2) is the correct numerical expression for "one-half the difference of 6 and 8 hundredths and 2 " .

what is expression ?

An expression, as used in computer programming, is a grouping of values, variables, operators, and/or function calls that the computer evaluates to produce a final value. For instance, the equation 2 + 3 combines the numbers 2 and 3 using the + operator to produce the number 5. Similar to this, the equation x * (y + z) produces a value based on the current values of the variables x, y, and z by combining the variables x, y, and z with the * and + operators.

given

In terms of numbers, the phrase "one-half the difference of 6 and 8 hundredths and 2" is expressed as follows:

1/2 x (6.08 - 2) (6.08 - 2)

1/2 x (6.08 - 2) (6.08 - 2) is the correct numerical expression for "one-half the difference of 6 and 8 hundredths and 2 " .

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Multiply fraction or mixed number by a whole number 3 x 3/5

Answers

Answer:

To multiply a whole number and a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator the same.

So, 3 x 3/5 = (3 x 3)/5 = 9/5

Therefore, 3 x 3/5 = 9/5.

Answer:

Step-by-step explanation:

9x/5

he is paid $22.60 an hour. He normally earns $904 each week. Last week he worked an extra 3 hours at time-and-a-half
his total income last week = $

Answers

Answer:

971.8

Step-by-step explanation:

Find X using the picture below.

Answers

Answer: 37.5

Step-by-step explanation:

75 - 180 = 105

105 degrees = the obtuse angle, bottom triangle.

75/2= 37.5 (since both sides of the bottom triangle are equal angles)

5. Jeni put a cake in the
oven at 2:30. If the
cake takes 1 hours
to bake, at what time
should it be taken
out of the oven? What the answer

Answers

Answer:

3:30

Step-by-step explanation:

We know

Jeni put a cake in the oven at 2:30. The cake takes 1 hour to bake.

What time should it be taken out of the oven?

We take

2:30 + 1 = 3:30

So, it should be taken out of the oven at 3:30

Assume that x and y have been defined and initialized as int values. The expression
!(!(x < y) || (y != 5))
is equivalent to which of the following?
(x < y) && (y = 5)

Answers

The expression (x < y) && (y == 5) is an alternative way of writing the original expression, and it will be true only if two conditions are met: first, x is smaller than y, and second, y is equal to 5.

The expression !(!(x < y) || (y != 5)) is equivalent to:

(x < y) && (y == 5)

To see why, let's break down the original expression:

!(!(x < y) || (y != 5))

= !(x >= y && y != 5) (by De Morgan's laws)

= (x < y) && (y == 5) (by negating and simplifying)

So, the equivalent expression is (x < y) && (y == 5). This expression is true if x is less than y and y is equal to 5.

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Complete question:

Assume that x and y have been defined and initialized as int values. The expression

!(!(x < y) || (y != 5))

is equivalent to which of the following?

(x < y) && (y = 5)

(x < y) && (y != 5)

(x >= y) && (y == 5)

(x < y) || (y == 5)

(x >= y) || (y != 5)

Find the product of 3√20 and √5 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Answers

Answer:

30, rational

Step-by-step explanation:

[tex]3\sqrt{20}\cdot\sqrt{5}=3\sqrt{4}\sqrt{5}\cdot\sqrt{5}=(3\cdot2)\cdot5=6\cdot5=30[/tex]

The result is rational because it can be written as a fraction of integers.

find surface area of cilinder with the radius of 9 and height of 14. make sure to put the correct exponents with answer.

Answers

The cylindrical has a surface area of 414 square units due to its 9-unit radius and 14-unit height.

what is cylinder ?

A cylinder is a three-dimensional geometric form made up of two circular bases that are parallel to one another and are joined by a curved lateral surface. It can be pictured as a solid item with a constant circular cross-section along its entire length. The measurements of a cylinder, such as the radius and height of the circular bases, affect its characteristics. The surface area, volume, and horizontal surface area of a cylinder are some of its typical characteristics. Mathematical formulas can be used to determine these properties.

given

The following algorithm determines a cylinder's surface area:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

where r is the cylinder's base's radius, h is the cylinder's height, and (pi) is a mathematical constant roughly equivalent to 3.14.

Inputting the numbers provided yields:

[tex]A = 2\pi (9)^2 + 2\pi (9)(14)\\[/tex]

A = 2π(81) + 2π(126) 

A = 162π + 252π

A = 414π

The cylindrical has a surface area of 414 square units due to its 9-unit radius and 14-unit height.

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Although many organizations prefer to use a single technology stack, it is not always viable because of various application needs. However, it is important to understand all the pieces of technology involved with certain technology stacks. The two most common are Microsoft .NET and Java-based technologies. In the selection of either, there are specific operating systems, databases, programming languages, development tools and servers that are used with each technology stack.Research all the necessary technical standards for a technology stack and make recommendations of what must be included for an organization to use that technology stack for software development. What is the meaning of "an armed clash at the mouth of the Danube"? Use Lagrange multiplier techniques to find shortest and longest distances from the origin to the curve x2 + xy + y2 = 3. shortest distance longest distance The economies of the new western states were very different from those of the northeastern states in the mid-1800s. One major difference was that western states-relied on subsistence farmingused natural harbors for shippingfocused on mining and agriculturetraded freely with other nations Let X and Y be independent random variables, uniformly distributed in the interval [0, 1 Find the CDF and the PDF of X-Y what do we call architectural drawings that show the size of the building Assume that the full-empinyment level of GDP is $10,000. The current level of GDP is $8,000. Answer the following questions a. Does this economy have any cyclical unemployment? Explain. b. If the MPC is.8, what minimum decrease in taxes is needed to reach full employment? c. If the MPC is.8, what minimum increase in government spending is needed to reach full employment? d. Are your answers to questions b and c numerically identical? If not, explain why? e. Could an equal increase in government spending and in taxes be used to reach full employment GDP? If so, what amount? Select each of the following terms with the appropriate attributes. No reply is used more than once.5.Material weakness6.|Risk assessment procedures7. Significant deficiency8.Suitable criteria9. Tests of controlsGAAP10. Walk-throughCreates a reasonable possibility a material misstatement will not be detected.Follow a transaction through the system.GAASInquire, inspect, observe, reperformInquiries, analytical procedures, observationLikelihood auditor's procedures will not detect a material misstatementMerits attention, less than a material weaknessRelevant assertionsReporting on internal control and financial statementsRisk tolerance of a financial statement userTests of controls and planningUser auditor Write an equation for the graph below.y = mx + b what impression do you think the forbidden city probably made on the people of ancient china Use the following selected information from Carleton Incorporated to determine the Year 1 and Year 2 trend percentages for cost of goods sold using Year 1 as the base. YEAR 1 YEAR 2 Net sales $278,700 $ 231,900Cost of goods sold 151,400 130.000Operating expenses 54,740 52,740Net earnings Year 28,520 20,320Multiple Choice A. 116.4% for Year 2 and 100.0% for Year 1. B. 36.2% for Year 2 and 40.5% for Year 1. C. 65.9% for Year 2 and 64.6% for Year 1 D. 54.3% for Year 2 and 56.1% for Year 1. write any six causes to prove that our country Nepal is rich in natural resources but back in development. which type of loan typically has a lower interest rate? Shallow Drilling, Inc. has 76,650 shares of common stock outstanding with a beta of 1.47 and a market price of $50.00 per share. There are 14,250 shares of 6.40% preferred stock outstanding with a stated value of $100 per share and a market value of $80.00 per share. The company has 6,380 bonds outstanding that mature in 14 years. Each bond has a face value of $1,000, an 8.00% semiannual coupon rate, and is selling for 99.10% of par. The market risk premium is 9.79%, T-Bills are yielding 3.21%, and the tax rate is 26%. What discount rate should the firm apply to a new project's cash flows if the project has the same risk as the company's typical project?Group of answer choices kiran realizes her iphone has no battery power. she needs to make an emergency call and starts charging it. when she turns around, her two-year-old grabs the phone and starts running into the kitchen. she chases him so he tries to hide it in the sink, but it lands in a pot full of water. what should kiran do with the wet iphone? there were two types of dinosaur: those such as tyrannosaurus rex that had hip structures similar to Which phrase best describes the tone president reagan uses in this passage? serious and straightforward passionate and commanding funny and entertaining academic and instructional Cofactors for the Citric Acid Cycle Suppose you have prepared a mitochondrial extract that contains all the soluble enzymes of the matrix but has lost (by dialysis) all the low molecular weight cofactors. What must you add to the extract so that the preparation will oxidize acetyl-CoA to CO2? she was the first african american female judge, who is she? What is a structural observation you can make to explain why the rumen does not rip or burst?