Write the indicated conditional statements for the given statement.


Given Statement: Gerald bought his first car after saving up $5,000.


Conditional Statement:



Converse Statement:



Inverse Statement:



Contrapositive Statement:



Biconditional Statement:

Please help!!!

Answer:

300 Burgers

Step-by-step explanation:

Since the question gives us an approximation of 250 burgers, we can round the number to 300. This is only because they had a estimation of 250 and would like to be prepared for the weekend. Being prepared would consist of ordering more than expected to make sure the burgers do not run out.

Answer:

P (2) = 0.1

Step-by-step explanation:

The table has X and P(X), you have to search the X and see its P(X) and thats the probability

Answer:  it is B.) 7,000,000

Step-by-step explanation:

Answer:

1.38 pm.

Step-by-step explanation:

After 1.05 PM the rate at which he decorates the cakes is 10 - 5 = 5 cakes per 3 minutes = 5/3 cakes per minute. At 1.08 pm he has made 10 cupcakes.

At 1.08 he has to decorate another 50 cakes so the time he will take to do these is  50 / 5/3  = 50 * 3/5 =   30 minutes.

So the time when he finishes 60 cupcakes is  1.08 + 30

= 1.38 pm.

The 60 cupcakes will be decorated at 1.38 pm.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

After 1.05 PM the rate at which he decorates the cakes is 10 - 5 = 5 cakes per 3 minutes = 5/3 cakes per minute. At 1.08 pm he made 10 cupcakes.

At 1.08 he has to decorate another 50 cakes so the time he will take to do these is  50 / 5/3  = 50 * 3/5 =   30 minutes.

The time when he finishes 60 cupcakes is:-

1.08 + 30 = 1.38 pm.

Therefore, 60 cupcakes will be decorated at 1.38 pm.

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Answer:

Transformation is the altering of shapes using different operations.

Step-by-step explanation:

The different operations of transformation are translation, reflection, and rotation.

Step-by-step explanation: A transformation is when we change the position or size of a given figure.

In part a, notice that we can flip the triangle on the left over the following line to the position of the triangle on the right. When we flip a figure over a line to create a mirror image, the new image is called a reflection. Therefore, the transformation shown in part a is called a reflection.

In part b, notice that we can turn the triangle on the top to the position of the triangle on the bottom. When we turn a figure to a new position, it's called a rotation. Therefore, the transformation in part b is a rotation.

In part c, notice that we can slide the triangle on the left to the position of the triangle on the right. When we slide a figure to a new position, it's called a translation. Therefore, the transformation in part c is a translation.

In part d, notice that the triangle on the left has been reduced in size to form the triangle on the right. When we reduce or increase the dimensions of a figure while maintaining its shape, the new image is called a dilation. Therefore, the transformation in part d is a dilation.

Answer:

the probability is 0.1879

Step-by-step explanation:

If a procedure yields a binomial distribution, the probability of having k successes is given by:

[tex]P(k)=nCk*p^{k} *(1-p)^{n-k}[/tex]

Where nCk is calculated as:

[tex]nCk=\frac{n!}{k!(n-k)!}[/tex]

Additionally, n is the number of trials and p is the probability of success in every trial.

Replacing, k by 14, n by 20 and p by 0.72 we get:

[tex]20C14=\frac{20!}{14!(20-14)!}=38,760[/tex]

[tex]P(k)=20C14*0.72^{14} *(1-0.72)^{20-14}[/tex]

[tex]P(k)=38,760*0.72^{14} *(1-0.72)^{20-14}\\P(k)=0.1879[/tex]

So, the probability is 0.1879

To find the probability of 14 successes given a binomial distribution with a trial repeated 20 times and a probability of success of 0.72 on a single trial, use the binomial probability formula.

To find the probability of 14 successes given a binomial distribution with a trial repeated 20 times and a probability of success of 0.72 on a single trial, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Plugging in the values, we get:

P(X = 14) = C(20, 14) * 0.72^14 * (1 - 0.72)^(20 - 14)

Calculating this expression will give you the probability of 14 successes out of 20 trials.

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Answer:

1/18

Step-by-step explanation:

We are considering that we have 2 dices with 6 faces each (so, the probability to gettig any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:

Dice 1= 6 and Dice 2 =5

or

Dice 1= 5 and Dice 2 =6

So, the probability of the event is given as:

P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).

Answer:

When you throw a dice, the total number of options that you can get is the product of the number of options for each dice, this means that the total number of combinations is:

c = 6*6 = 36 combinations.

Now, the combinations where the dice add to 11 are:

5 in one dice and 6 in the other.

6 in one dice and 5 in the other.

so out of 36 combinations, we have 2 options where we have an 11.

then the probability is the combinations that add to 11 divided by the total number of combinations:

p = 2/36 = 1/18 = 0.056

the probability is greater than 0.05, so it is significant.

If the orbit of the Moon around Earth is circular and the 1 revolution takes 27.3 days, the linear speed of the moon is 2291.94335 miles/hour.

The speed with which an object moves in a linear path is known as its linear speed.

The following are given:

The mean distance of the moon from Earth (r) is [tex]2.39\times10^5[/tex] miles.

The total distance covered by the moon in 1 revolution is 2πr.

The time taken for 1 revolution by the moon (T) is 27.3 days.

It is known that there are 24 hours in a day.

So, 27.3 days = 27.3 × 24 hours

The linear speed(v) of the moon can be calculated by dividing the distance covered by the time taken to complete a revolution as follows:

[tex]v = \dfrac{2\pi r}{T}[/tex]

   [tex]=\dfrac{2\times3.14\times2.39\times10^5}{27.3\times24}\\= 2291.94335\ miles/ hour[/tex]

Therefore, the linear speed of the moon is 2291.94335 miles/hour.

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To find the linear speed of the Moon, we calculate its circumference and divide it by the time taken for one revolution. The linear speed of the Moon is approximately (2π(2.39x10^5)) / (27.3 x 24) miles per hour.

To find the linear speed of the Moon, we first need to calculate its circumference. The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is the mean distance of the Moon from Earth, which is 2.39x10^5 miles. So, the circumference is 2π(2.39x10^5) miles.

To find the linear speed, we need to divide the circumference by the time it takes for the Moon to complete one revolution around Earth. Since each revolution takes 27.3 days, we need to convert that to hours. There are 24 hours in one day, so 27.3 days is equal to 27.3 x 24 hours. Finally, we divide the circumference by the time to get the linear speed in miles per hour.

Therefore, the linear speed of the Moon is approximately (2π(2.39x10^5)) / (27.3 x 24) miles per hour.

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The solution of the expression (6x – 5 + 4x²) + (2x - 2) will be;

⇒ 4x² + 8x - 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (6x – 5 + 4x²) + (2x - 2)

Now, Solve the expression is solve as,

⇒ (6x – 5 + 4x²) + (2x - 2)

⇒ 6x – 5 + 4x² + 2x - 2

⇒ 4x² + 6x + 2x - 5 - 2

Solve common terms,

⇒ 4x² + 8x - 7

Therefore,

The solution of the expression (6x – 5 + 4x²) + (2x - 2) will be;

⇒ 4x² + 8x - 7

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Answer:

1st car is 6mph 2nd car is 100mph

Step-by-step explanation:

ans to first car is in the question

and just subtract total travelled distance of car 1 after 2.5 hours. then subtrct it from the total distance and with the remaining distance solve for speed of other car which is distance over time.

The speed of the slower car is 52 mph, and the speed of the faster car is 52 mph + 6 mph, which equals 58 mph. This was calculated using the relationship between speed, distance, and time.

Let's denote the speed of the slower car as v miles per hour (mph), which means the faster car will have a speed of (v + 6) mph. Since they are travelling in opposite directions, their speeds add up when determining how far apart they will be over a period of time.

Combined speed = v + (v + 6) = 2v + 6 mph

After 2.5 hours, they are 275 miles apart. Using the formula for distance, which is Distance = Speed ×Time, we have:

Distance = (2v + 6) × 2.5

275 miles = (2v + 6) × 2.5

Solving for v, we divide both sides by 2.5:

110 = 2v + 6

Now, subtract 6 from both sides:

104 = 2v

Finally, divide by 2 to find the speed of the slower car:

v = 52 mph

Therefore, the speed of the slower car is 52 mph, and the faster car is 52 mph + 6 mph, which equals 58 mph.

given the equation is written in text so the signs and operators are weird, i don't understand the question but an inverse of any function can be found by switching f(x) or y with x.

For example if f(x) = 3x, then the inverse is x = 3y or y=x/3

Final answer:

The inverse of the function [tex]f(x) = \sqrt[3]{7x - 21} - 3[/tex] is found by first expressing the function as [tex]y = \sqrt[3]{7x - 21} - 3,[/tex] then isolating x, and finally expressing x in terms of y, resulting in the inverse function[tex]f^{-1}(y) = \frac{(y + 3)^3 + 21}{7}.[/tex]

Explanation:

To find the inverse of the function [tex]f(x) = \sqrt[3]{7x-21} - 3,[/tex]  we want to solve for x in terms of y. First, we replace f(x) with y to get [tex]y = \sqrt[3]{7x-21} - 3.[/tex] We then solve for x using the following steps:

Add 3 to both sides of the equation to get[tex]y + 3 = \sqrt[3]{7x-21}.[/tex]

Raise both sides to the power of 3 to eliminate :[tex](y + 3)^3 + 21 = 7x.[/tex]

Finally, divide by 7 to isolate x, so[tex]x = \frac{(y + 3)^3 + 21}{7}.[/tex]

Thus, the inverse function is [tex]f^{-1}(y) = \frac{(y + 3)^3 + 21}{7}.[/tex]

Answer:

b) update the Retained Earnings account.

Step-by-step explanation:

A major purpose of preparing closing entries is to -  update the Retained Earnings account.

Retained earnings are defined as those profits, that a company has earned to date minus any dividends or other money paid to investors.

Whenever we make an entry to the accounting records, that affects a revenue or expense account, this retained earning amount is adjusted.

The major purpose of preparing closing entries is to update the Retained Earnings account by transferring the balances of temporary accounts to it, effectively resetting these accounts for the next period. This ensures that the company's financial statements only reflect the transactions of the current period.

The student's question relates to the major purpose of preparing closing entries in accounting. The correct answer to the question is b) update the Retained Earnings account. Closing entries are an essential part of the accounting cycle that serves to transfer the balances of temporary accounts (like revenues, expenses, dividends/distributions, and income summary) to the Retained Earnings account to reflect the changes that occurred over the period. This process resets the balance of the temporary accounts to zero, ready for the next accounting period, while updating the balance of the Retained Earnings to reflect the net income or loss that was earned or incurred during the period.

'T-accounts' help visualize the transactions and balances of accounts including assets, liabilities, and equity. When closing entries are made, we are not adjusting asset or liability accounts (which are permanent accounts) directly. Instead, we close temporary accounts to a permanent equity account, typically Retained Earnings, based on the principle that assets will always equal liabilities plus net worth.

The steps in preparing closing entries generally involve: first, closing all revenue accounts to Income Summary; second, closing all expense accounts to Income Summary; third, closing the Income Summary account to Retained Earnings; and lastly, closing any dividends or distributions to Retained Earnings.

Answer:

8320

Step-by-step explanation:

(100%+4%)8000=8320

The balance at the end of the first year of the investment will be $8320, which includes the initial investment of $8000 and the interest earned, calculated as 4% of the initial investment.

This is a basic interest problem in mathematics. To calculate the balance at the end of the first year, we need to add the initial investment to the amount earned through interest. The interest earned is the product of the initial investment and the interest rate.

In this case, the initial investment is $8000 and the interest rate is 4% per year or 0.04 in decimal form. So, the interest earned would be the product of $8000 and 0.04, which equals $320.

Therefore, the balance at the end of the first year would be the initial investment plus the interest earned, which is $8000 + $320 = $8320.

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To make the function differentiable at x = 2, we must ensure continuity by matching function values and differentiability by equating derivatives from both sides at x = 2. Solving the system of equations obtained from these conditions will give the values of a and b.

To find the values of a and b that make the function f(x) = { x² if x ≤ 2, ax³ + bx if x > 2 } differentiable at x = 2, we need to ensure both continuity and differentiability of f(x) at this point. First, continuity at x = 2 requires that the limits from the left and the right are the same, meaning f(2) = 2² = 4 should equal a(2)³ + b(2). Second, for differentiability, the derivatives from the left and right at x = 2 must also be equal. The derivative of x² is 2x, so f'(2) = 4. Differentiating ax³ + bx gives 3ax² + b, so f'(2) = 12a + b must also equal 4. Solving these equations:

gives us a system of equations that when solved, will provide the exact values of a and b required.

To solve the equation -5(2+x)=53, we need to use the order of operations and follow the steps mentioned in the detailed answer. The solution to the equation is x=-12.6.

In order to solve the equation -5(2+x)=53, we need to use the order of operations. Let's break it down step by step:

So, the solution to the equation -5(2+x)=53 is x=-12.6.

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Answer:

You have completed 25% of your work.

Step-by-step explanation:

Consider the provided information.

You estimate that you have completed 1/4 of the work.

To find the percentage of work complete simplify the fraction and multiply it with 100.

[tex]\frac{1}{4}=0.25[/tex]

Now multiply it by 100.

[tex]0.25\times 100=25\%[/tex]

Hence, you have completed 25% of your work.

Answer:

  ∛(2b)

Step-by-step explanation:

[tex]\displaystyle\frac{\sqrt[3]{4b^2}}{\sqrt[3]{2b}}=\sqrt[3]{\frac{4b^2}{2b}}=\sqrt[3]{2b}[/tex]

Answer:

210, 150

Step-by-step explanation:

Answer:

-510, 210 and 570.

Step-by-step explanation:

I'm on the same assignment right now! If you draw them you will see that those are the answers.

Answer:

134.375 - 12.5 - 6 = 115.875

The area of the rug that can be seen after covering love seat and entertainment center is 115.875 square feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rug in living room = 12¹/₂ feet = 25 /2 feet.

And the width of rug = 10 ³/₄ feet= 43 /4 feet.

The area of the rug = width x length = 25/2 x 43 / 4 = 1075 / 8 = 134.375 square feet.

Also given that,

A love seat having area =  12¹/₂ square feet.

And area of entertainment center = 6 square feet

Area covered by love seat and entertainment center = 12.5 + 6 = 18.5 square feet

The remaining area that can be seen = 134.375 - 18.5 = 115.875 square feet.

The required area is 115.875 square feet.

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Answer:

For this question there appears to be absolutely no association. The points are all over the place and there is not consistent factors at play here.

Answer:

Self-fulfilling prophecy

Step-by-step explanation:

According to my research on studies conducted by various psychologists, I can say that based on the information provided within the question this is an example of a Self-fulfilling prophecy. This is defined as a phenomenon of when an individual believes something will happen a certain way, and that event ends up happening only because the individual changed their behaviors and actions causing it to happen. Which is what Jenna did with her statistics class.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

Self-fulfilling prophecy

Step-by-step explanation:

A  self-fulfilling prophecy is the social and psychological phenomenon that, when exposed to a personal belief,  a person will change its conduct or behaviour in order to confirm or make real that particular belief in order to   avoid cognitive dissonance or the fact of being wrong.

Jenna believes she is bad in statistics. But that belief, which is not really or necessarily true, makes her change her behaviour and not study or abandon her effort to become better at statistics, which at the same time makes her perform badly in statistics in the future. This reinforcing loop maintains the belief and prophecy going in time.

Answer:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

Step-by-step explanation:

The scenario that is most likely to be shown in the graph is:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

We can see that the initial calories are 50 as shown in the graph.

When x=0 the value on the y-axis is 50.

And this value is increasing by 100 units.

Answer:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

Choice D.

Step-by-step explanation:

Answer: There are 151,200 ways the members can be appointed.

Step-by-step explanation:

Since we have given that

Number of eligible candidates = 10

Number of remaining spots available = 6

Here, rank matters.

so, we will use "Fundamental theorem of counting or by Permutation":

So, Number of different ways the members can be selected is given by

[tex]^{10}P_6=10\times 9\times 8\times 7\times 6\times 5\\\\=151,200[/tex]

Hence, there are 151,200 ways the members can be appointed.

The number of different ways the president can appoint the members of the cabinet given that order matters and there are 10 eligible candidates for the remaining 6 positions is 151,200.

The question is asking for the number of different ways the six remaining cabinet positions can be filled, given that there are ten eligible candidates and rank matters. This scenario is an example of a permutation problem in combinatorics, a subfield of mathematics. A permutation is an arrangement of objects in a specific order. If rank matters, this means that the order in which the candidates are chosen for the cabinet positions is important. In this case, the formula for permutations is applicable. The formula for permutation when there are 'n' items available (10 eligible candidates) and 'r' items are chosen (6 positions) is given by nPr = n! / (n-r)!. Substituting these values, we have 10P6 = 10! / (10-6)!. After performing the calculation, we find there are 151,200 different ways in which the president can appoint the members of the cabinet.

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Answer:

The answer to your question is: (5/2, -6)

Step-by-step explanation:

Given    f(x) = (6x - 36) / (2x² - 17x + 30)

Factorize both, numerator and denominator

Numerator = 6(x - 6)

Denominator =    2x² - 12x - 5x + 30

                      =   2x(x - 6) - 5(x - 6)

                      = (x - 6) (2x - 5)

Now     f(x) = 6(x - 6) / (x - 6) (2x - 5)     Cancel (x - 6)

            f(x) = 6 / 2x - 5

Find the hole           2x - 5 = 0

                                2x = 5

                                x = 5/2

In 5/2 there is a hole, in y is approximately -6

Answer:

x= 5 fam trust

Step-by-step explanation:

plug it in brainliest plzzzzzzzzzzzzzzzzz

Answer:

Either B or D.

Step-by-step explanation:

I consider both options valid. It all depends on how the employer is keeping track of time, ie if the pay "ticks" every 60 minutes, or an employee is allowed to clock in half hours.

Will I be able to work 30 and a half hour for example? If I'm allowed to, D.

If I have to work multiple of 60 minutes, B.

Answer:

The answer is D

Step-by-step explanation:

Step-by-step explanation:

By the problem we know that our events are:

[tex]A=[/tex]A batch is formed from two different lots.

[tex]B=[/tex]A batch requires additional processing.

So, according to that:

a) [tex]P(A)=3%=0.03[/tex]

Because P(A) and [tex]P(A^{'} )[/tex] are complementary events

b) [tex]P(A^{'} )=1-P(A)=1-0.03=0.97=97%[/tex]

Because of the problem, we know that:

c) [tex]P(B/A)=0.4=40%[/tex]

and,

d) [tex]P(B/A^{'} )=0.05=5%[/tex]

From the formula

e) P(A ∩ B)= P(A)*P(B/A)=[tex](0.03)*(0.4)=0.012[/tex]

f) P(A ∩ B')=P(A)-P(A ∩ B)=[tex]0.03-0.012=0.018[/tex]

And, finally

g) P(B)=P(B/A)*P(A)+P(B/A')*P(A')=[tex](0.4)*(0.03)+(0.05)(0.97)=0.0605[/tex]

(a)Probability of P(A) = 0.03  (b)Probability ofP(A')  = 0.97.(c) Probability of P(B|A) = 0.40 (d) Probability of P(B|A') = 0.05 (e) Probability of P(A ∩ B) = 0.012. (f)Probability of P(A ∩ B') =  0.03 - 0.012 = 0.018. (g) Probability ofP(B) = 0.0605.

Let's determine the various probabilities step-by-step for the given scenario.

       Given: P(A) = 0.03 (3% of all batches).

        P(A') = 1 - P(A) = 1 - 0.03 = 0.97.

       Given: P(B|A) = 0.40 (40% of such batches).

        Given: P(B|A') = 0.05 (5% of such batches).

        P(A ∩ B) = P(B|A) * P(A) = 0.40 * 0.03 = 0.012.

        P(A ∩ B') = P(A) - P(A ∩ B) = 0.03 - 0.012 = 0.018.

       P(B) = P(B|A) * P(A) + P(B|A') * P(A') = (0.40 * 0.03) + (0.05 * 0.97) =    0.012 + 0.0485 = 0.0605.

Answer:

A real number is a number that is somewhere on a number line, so any number on a number line that isn't a rational number is irrational. The square root of 2 is an irrational number because it can't be written as a ratio of two integers

hope it helps!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the professor Z has a class of 50 students is corrupt.   However five students already have a special deal (they are professor Z's nephews and nieces) and will get A's for sure.

Thus out of 10 students 5A's are reserved

Remaining 5 can be distributed in

I 5 to any one of the 45, II to any one of the 44....

i.e. 45P5 ways

no of ways = 45P5 == 146611080

The probability that the company uses more than 270 dB during any particular hour is approximately 0.8963 or 89.63%.

To find the probability that the company uses more than 270 dB during any particular hour, we need to use the properties of the lognormal distribution.

The lognormal distribution is characterized by two parameters: μ (mean of the logarithm of the data) and σ (standard deviation of the logarithm of the data).

μ = 4

σ = 2

To find the probability of the company using more than 270 dB, we need to convert this value to the logarithmic scale and then calculate the corresponding probability.

Convert 270 dB to the logarithmic scale:

Let X be the random variable following a lognormal distribution with parameters μ and σ. The logarithm of X is normally distributed with mean μ and standard deviation σ.

Using the lognormal properties, we can convert 270 dB to the logarithmic scale:

ln(270) = 5.5984 (approximately)

Calculate the probability of X being greater than ln(270):

We now need to find the probability of X being greater than ln(270) in the lognormal distribution with parameters μ = 4 and σ = 2.

Using statistical software, a lognormal distribution table, or a calculator, we find the probability P(X > ln(270)) to be approximately 0.8963.

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To find the probability that the company uses more than 270 dB during any particular hour, we can use the properties of the lognormal distribution. The lognormal distribution is characterized by its parameters μ and σ, where μ is the mean and σ is the standard deviation of the natural logarithm of the variable. In this case, μ = 4 and σ = 2.  The probability is approximately 0.227.

To find the probability that the company uses more than 270 dB during any particular hour, we can use the properties of the lognormal distribution. The lognormal distribution is characterized by its parameters μ and σ, where μ is the mean and σ is the standard deviation of the natural logarithm of the variable. In this case, μ = 4 and σ = 2.

To find the probability, we can convert the value of 270 dB to its corresponding value on the lognormal distribution. Let's call this value x. Using the formula x = e^μ + σ^2/2, we have x = e^4 + 2^2/2 = 54.598.

Now, we can use the cumulative distribution function (CDF) of the lognormal distribution to find the probability that the company uses more than 270 dB. The CDF gives us the probability that the variable is less than or equal to a given value.

Since we want the probability that the variable is greater than 270 dB, we can subtract the CDF value from 1. Using a calculator or a statistical software, we can find that the CDF of the lognormal distribution at x = 54.598 is approximately 0.773. Therefore, the probability that the company uses more than 270 dB during any particular hour is 1 - 0.773 = 0.227.