What does
-$20 -$15 +$30 $2
Equal

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75

Based on the results of the two polls, it can be concluded that there is a significant difference in the proportion of citizens in Normal, Illinois who favor strict enforcement of speed limits between the two surveys.

In the first poll of 515 citizens, 60% favored strict enforcement of speed limits with a margin of error of 4%. This means that the true proportion of citizens who favor strict enforcement falls within the range of 56% to 64% with 95% confidence.

In the second poll of 519 citizens, only 34% favored strict enforcement. Since the confidence interval from the first poll does not overlap with the proportion from the second poll, we can infer that there is a significant difference between the two proportions.

Therefore, based on these results, it can be concluded that there has been a change in public opinion regarding the strict enforcement of speed limits in Normal, Illinois.

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The equation of the line y = 3 · x + 4 contains the points (0, 4) and (- 3, - 5).

A table with two points is introduced and the related of the equation of the line must be found. This equation is introduced below:

y = m · x + b

Where:

The slope is found by secant line formula:

m = Δy / Δx

And the intercept is:

(0, b) = (0, y)

First, determine the slope:

m = (- 5 - 4) / (- 3 - 0)

m = - 9 / (- 3)

m = 3

Second, find the intercept:

b = 4

Third, write the resulting equation of the line:

y = 3 · x + 4

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Value of X6 = N6 - N5. From the given realization of the Bernoulli counting process, N5 = 3 and N6 - N5 = X6. Hence, X6 = N6 - N5 = 5 - 3 = 2. The value of S is the largest value of n for which Nn = 3. From the given realization of the Bernoulli counting process, N3 = 1, N4 = 2, N5 = 3, and N6 = 5. Hence, the value of S is 5.

The value of T2 is the time at which the second success occurs. From the given realization of the Bernoulli counting process, N2 = 1. Hence, the time at which the second success occurs is T2 = 2.d) P{N2=1, Ns=3, N7-4} = P{N2=1} × P{Ns-N2=2} × P{N7-Ns=1} × P{No=4}.Using the Bernoulli counting process, the probability of a success is p = 0.2 and the probability of a failure is q = 1 - p = 0.8. Therefore, P{N2=1} = pq, P{Ns-N2=2} = p²q, P{N7-Ns=1} = pq², and P{No=4} = p³.Thus, P{N2=1, Ns=3, N7-4} = (0.2)(0.8)(0.2²)(0.8)(0.2)(0.8²)(0.2³) = 0.0016384. A Bernoulli counting process is a stochastic process that consists of a sequence of independent and identically distributed random variables, where each random variable takes the value 1 or 0 with probability p and q = 1 - p, respectively. The Bernoulli counting process is often used to model the arrival times of events that occur randomly over time. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.In this question, we are given the realization of a Bernoulli counting process, and we are asked to find various quantities associated with this process. We are first asked to find the value of X6, which is the number of successes that occur between times 5 and 6. We are then asked to find the value of S, which is the largest time at which three successes have occurred. We are also asked to find the value of T2, which is the time at which the second success occurs. Finally, we are asked to find the probability of a specific sequence of events occurring, given that the success probability is p = 0.2.To find the value of X6, we simply subtract the value of N5 from the value of N6. Similarly, to find the value of S, we look for the largest time at which Nn = 3. To find the value of T2, we look for the time at which N2 = 1. Finally, to find the probability of a specific sequence of events occurring, we use the probabilities of success and failure to calculate the probability of each event occurring, and then multiply these probabilities together. Thus, we have found the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring.

In conclusion, the Bernoulli counting process is a powerful tool for modeling the arrival times of events that occur randomly over time. By using the probabilities of success and failure, we can calculate various quantities associated with this process, such as the value of X6, the value of S, the value of T2, and the probability of a specific sequence of events occurring. The Bernoulli counting process has many applications in areas such as reliability theory, queueing theory, and inventory management.

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After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73

The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.

where a is real part and b is imaginary part, the value of i is √-1.

i × i = -1

i⁴ = 1

Given that, pair of complex numbers

(6 +3i )×( 6 - 3i) =  6×6 -6×3i + 6×3i - (3i × -3i)

                         = 36 - 18i + 18i + (-3i × 3i)

                         =  36 + 9

                         =  45

(4-5i) × (4+5i)   =  4×4 + 4×5i - 4×5i - (5i × -5i)

                        = 16 - 20i + 20i + (-5i × 5i)

                        = 16+25

                        = 41

(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)

                        = 9 +24i-24i +64

                        =  73

Hence, The result of products are 45, 41, 73

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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The y-intercept is 1, and if you multiple each x-value by 3 then add 1, you get your y-values.

The accurate way to describe a vector field F on R3 is (c) A function F from R3 to R3.

Vector field is a set of vectors that exist at different points of a vector space. A vector field is denoted by F. The vector field of a vector function F in R3 is a vector field.

A vector field F can be defined as a function from R3 to R3 (choice (c)) where F(x, y, z) = ⟨f1(x, y, z), f2(x, y, z), f3(x, y, z)⟩ is a vector at each point (x, y, z) of the space in R3.If f(x, y) is a scalar function of two variables, the accurate choice is (b) Vf(x, y) is a vector field on R2. A vector field of a vector function F in R2 is a vector field.

The vector field F can be defined as a function from R2 to R2 where F(x, y) = ⟨f1(x, y), f2(x, y)⟩ is a vector at each point (x, y) of the plane in R2.

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Answer:

\(\textsf{a)} \quad y=-4x+19\)

\(\textsf{b)} \quad y=\dfrac{1}{4}x+2\)

Step-by-step explanation:

From inspection of the graph, two points on the line are:

Substitute these points in the slope formula to find the slope of the line:

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-6}{2-1}=\dfrac{-4}{1}=-4\)

Lines that are parallel have the same slope.

Therefore, a line parallel to the given line has a slope of -4.

To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-3=-4(x-4)\)

\(\implies y-3=-4x+16\)

\(\implies y=-4x+19\)

If two lines are perpendicular to each other, their slopes are negative reciprocals.

Therefore, a line perpendicular to the given line has a slope of ¹/₄.

To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-3=\dfrac{1}{4}(x-4)\)

\(\implies y-3=\dfrac{1}{4}x-1\)

\(\implies y=\dfrac{1}{4}x+2\)

The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

According to the statement

We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.

and we have to find that the those set which describes the domain of p(h).

So,for this purpose

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}.

So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

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Answer:

B.{h|0<h<60}

Step-by-step explanation:

The volume of 10% solution will be 6 l and 9 litre of the 30 % solution will be taken.

Volume is the space occupied by a three dimensional object .

The concentration of solution required is 22% acid

The concentration of solution available is 10% and 30%

The total volume required is 15 liters

The formula for making a mixture is

Concentration = ( m₁x₁ +m₂x₂) / (x₁+x₂)

22 = (10 * x + 30 *(15 -x))/( 15)

10 x + 450 - 30x =330

-20x = -120

x = 6

The volume of 10% solution will be 6 l

and 9 litre of the 30 % solution will be taken.

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Answer: (y+3)=−23(x+3)

Step-by-step explanation:

slope = (y2 - y1 ) / (x2 - x1)

(-5 +3)/0+3)

-2/3

y = -2/3x + b

b = y-intercept

(y + 3)=−23(x +3)

(y+3)=−23(x+3)

\(\huge\fbox{Answer ☘}\)

number of marks available = 140

percentage secured = 70%

therefore marks secured =

\(70\% \: \: of \: 140 \\\\ =>\frac{70}{100} \times 140 \\ \\ = > 98 \: marks\)

hope helpful~

A linear relationship between the cost of fire damage (y) and the distance from the house to the nearest fire station (x) is being analyzed using the equation y = mx + c.

We have,

A sample of 15 recent fires and the variables recorded for each fire:

x = distance from the fire to the nearest fire station (in miles) and

y = cost of damage (in dollars).

The distances range from 0.7 miles to 6.1 miles.

To determine the linear relationship between the variables x and y, you can perform a linear regression analysis to find the equation of the best-fit line that represents this relationship.

This equation will help you predict the cost of fire damage based on the distance to the nearest fire station.

If you have the data points for the distances and costs of damage, you can use statistical software or tools to perform the regression analysis and find the equation of the line.

The equation will be in the form of:

y = mx + b

where:

y is the cost of damage

x is the distance to the nearest fire station

m is the slope of the line (reflecting the rate of change of cost with respect to distance)

b is the y-intercept (the cost when the distance is 0)

This linear equation will provide insights into how the cost of fire damage changes as the distance to the nearest fire station changes.

Thus,

A linear relationship between the cost of fire damage (y) and the distance from the house to the nearest fire station (x) is being analyzed using the equation y = mx + c.

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a. The critical value for testing if the correlation is significant at α=0.05 with a sample size of 15 is 0.524.

b. With a correlation coefficient of 0.961, the correlation between cost and distance is significant at α=0.05, as the computed correlation coefficient is greater than the critical value of 0.524.

c. The regression equation for predicting cost of damage from the distance between the fire and the nearest fire station is y = 4919x + 10278, where y represents the cost of damage and x represents the distance between the fire and the nearest fire station.

d. To predict the cost of damage for a house that is 0.5 miles from the nearest fire station, substitute x=0.5 into the regression equation to obtain y = 13877 dollars.

Here, we have to test if the correlation is significant, we need to calculate the critical value using the formula: critical value = t(α/2, n-2), where t is the t-distribution value and α is the level of significance.

With α=0.05 and n=15, the critical value is 0.524. As the computed correlation coefficient of 0.961 is greater than the critical value, we can conclude that the correlation between cost and distance is significant.

To find the regression equation, we use the formula: y = bx + a, where b is the slope and a is the y-intercept.

Given that the slope is 4919 and the y-intercept is 10278, the regression equation is y = 4919x + 10278.

This equation can be used to predict the cost of damage for any distance between the fire and the nearest fire station.

To predict the cost of damage for a house that is 0.5 miles from the nearest fire station, we substitute x=0.5 into the regression equation to obtain y = 4919(0.5) + 10278 = 13877 dollars.

This means that the predicted cost of damage for a house that is 0.5 miles from the nearest fire station is $13,877.

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complete question:

An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fires and the distance from the house to the nearest fire station. A sample of 15 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded:

x= the distance between the fire and the nearest fire station (in miles)

y= cost of damage (in dollars)

The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles.

a. The correlation between cost and distance is 0.961. What is the critical value for testing if the correlation is significant at α=.05?

b. The correlation between cost and distance is 0.961. Test if the correlation is significant at α=.05.

c. What is the regression equation for predicting cost of damage from the distance between the fire and the nearest fire station when the slope is 4919, and the y-intercept is 10278 ?

d. Predict the cost of damage for a house that is 0.5 miles from the nearest fire station.

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

09123456789 loadan moko

Answer:

x-3 + x+1+48=2x+46 .sorry I do not u understand properly

The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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To find the t-statistic for the given percentiles, we need to know the sample mean, sample standard deviation, and degrees of freedom (df). Assuming that we are dealing with a sample of size 55, we can use the t-distribution to calculate the t-statistics.

(a) To find the t-statistic for the 45th percentile, we first need to find the corresponding t-score. Using a t-distribution table or a calculator, we can find that the t-score for the 45th percentile with 54 degrees of freedom is approximately -0.1812.

Next, we can use the formula for calculating the t-statistic:

t = (x - μ) / (s / √n)

where x is the sample percentile, μ is the population mean (which is unknown), s is the sample standard deviation, and n is the sample size.

Since we don't know the population mean, we can use the sample mean as an estimate. Let's assume that the sample mean is 10 and the sample standard deviation is 2. Then, the t-statistic for the 45th percentile can be calculated as:

t = (x - μ) / (s / √n) = (0.45 - 10) / (2 / √55) ≈ -10.03

Therefore, the t-statistic for the 45th percentile is approximately -10.03.

(b) To find the t-statistic for the 95th percentile, we first need to find the corresponding t-score. Using a t-distribution table or a calculator, we can find that the t-score for the 95th percentile with 54 degrees of freedom is approximately 1.6759.

Next, we can use the same formula for calculating the t-statistic:

t = (x - μ) / (s / √n)

Assuming that the sample mean is still 10 and the sample standard deviation is 2, the t-statistic for the 95th percentile can be calculated as:

t = (x - μ) / (s / √n) = (0.95 - 10) / (2 / √55) ≈ -26.97

Therefore, the t-statistic for the 95th percentile is approximately -26.97.

Answer:

here Multiply

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by

1

.

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=

6

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36

−

4

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−

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2

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−

27

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6

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36

+

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2

⋅

1

Add

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and

108

.

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=

6

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144

2

⋅

1

Rewrite

144

as

12

2

.

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√

12

2

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Pull terms out from under the radical, assuming positive real numbers.

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=

6

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1

Multiply

2

by

1

.

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=

6

±

12

2

Simplify

6

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.

x

=

3

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The final answer is the combination of both solutions.

x

=

9

,

−

3

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

As given in the question,

Given expression is equal to :

(9/4) -2(4x +4/3) +(5/2)x

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to  the following one:

(9/4) -2(4x +4/3) +(5/2)x

= (9/4) - 2(4x) - 2(4/3) + (5/2)x

Simplify the like terms of the given expression we get,

= (9/4) -(8/3) - 8x + (5/2)x

= (27-32)/12 -8x +(5/2)x

= -(5/12) -8x + (5/2)x

= -(5/12) +((-16+5)/2)x

= -(5/12) -(11/2)x

Therefore, solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

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Answer:

x=16 because when they both cross the equal to sign their operational sign changes thus u subtract n make x the subject

Answer:

basically cut all the edges off and turn them into a square or a rhombus

Step-by-step explanation:

Answer:i couldn’t do all of them but i did what i could:)

Step-by-step explanation: hope this helps!!

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

let the time be "x" minutes for both

after x minutes,

the first pool will have 1660l + 30.75x

and the second pool will have 1900+ 23.25x

note: both pool Will have equal volume of water

1660+ 30.75x=1900+23.25x

30.75x-23.25x= 1900-1660

7.5x=240

x = 240/7.5

x= 40minutes

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

AC=42

EB=21

BC=26

thats all i know, sorry hope u figure it out

Step-by-step explanation:

The sides are AC = 42, EB = 21, BC = 26, AB = 38 and the measures of angles are ∠ADC = 90°, ∠ABD = 38°, ∠BCA = 52°, ∠DEC = 104°.

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles

Given is a rectangle ABCD.

AC and BD are diagonals intersecting at E.

Given  DB=42, AD=26 and m ∠DAE=52°

(a) Diagonals of a rectangle are of equal length.

AC = DB = 42

(b) Diagonals of a rectangle bisect each other.

DE = EB = DB / 2 = 42/2 = 21

(c) Opposite side are equal.

BC = AD = 26

(d) Using Pythagoras theorem,

AB = \(\sqrt{(AC)^2-(BC)^2}\) = \(\sqrt{42^2-26^2}\) = 37.947 ≈ 38

(e) Measure of all the interior angles in a rectangle is 90°.

So, ∠ADC = 90°

(f) Given ∠DAE = 52°

∠BAE = 90° - 52° = 38°

ΔBAE is an isosceles triangle, since the two sides which are the bisectors of the diagonals are equal.

So, ∠ABD = ∠BAE = 38°

(g) ∠BCA = ∠DAE [Alternate interior angles]

∠BCA = 52°

(h) Sum of interior angles of a triangle is 180°.

∠DEC + ∠BDC + ∠ACD = 180°

∠BDC = ∠ABD = 38° and ∠ACD = ∠BAE = 38°

∠DEC = 180° - (38° + 38°)

          = 104°

Hence the measures are found.

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The expression for the flu cases in winter is W = S + 0.58S.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Let the total number of patients in winter be W and S be the number of patients treated for flu symptoms.

At Dr. Carrey's clinic, 58% more patients are treated for flu symptoms in the winter than in the summer.

So, the expression for the number of flu patients in winter is:

W = S + 58% of S

W = S + 0.58S

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