Three softball players discussed their batting averages after a game.


Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.

Step-by-step explanation:

We will represent the measure of angle 1 by x because it is unknown.

It says that the measure of angle 2 is twice angle 1   so we could represent that as  2x  and the measure of angle 2  is 15 less than angle 3 and we could also represent that by  2x - 15.

Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.

x + 2x + 2x -15 = 180  

5x - 15 = 180

      +15   +15

5x = 195

x = 39  

If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78   which also gives us the measure of angle 2 as 78.

For angle 3 it says that it has to be 15 less than the measure of angle so  subtract 15 from  78 to find the measure of angle 3.

78 - 15 = 63   The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .

Check:

39 + 78 + 63 = 180

  180 = 180

According to the final temperature for each case, the two cups of coffee have the same final temperature.

In this question we have the case of two cups of coffee that are heated at two different temperatures, one in degrees centigrade and other in Kelvin, after being at the same temperature, both in degrees in Fahrenheit. According to the definitions of the three temperature scales, the following relationship in temperature changes is shown:

Δ °F = (9 / 5) Δ °C = (9 / 5) Δ K

Then, the final temperature of each cup of coffee is now determined:

Cup 1

T₁ = 100 °F + (9 / 5) · (20 ° C)

T₁ = 136 °F

Cup 2

T₂ = 100 °F + (9 / 5) · (20 K)

T₂ = 136 °F

Since T₁ = T₂, then the two cups of coffee have the same final temperature.

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The Slope of the line :

\(m=-\frac{1}{5} \approx-0.2\)

Using small, whole integer coordinates, it is simple to manually determine a line's slope. The formula becomes more effective if the coordinates are given greater or decimal values.

Because all horizontal lines have the same y-coordinates, it is important to note that all of them have a gradient of zero. In the slope formula's numerator, this will produce a zero. A vertical line, on the other hand, will have an arbitrary slope because the x-coordinates are constant. When applying the formula, this will lead to a division by zero error.

slope = (y₂ - y₁) / (x₂ - x₁)

Using the two points P=(2,3) and Q=(-3,4) as your input, determine the slope.

P=(x1,y1) and Q=(x2,y2) are two points on a line, and the slope of that line is given by :

                                 \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

we have that:

                        \(x_{1}=2, y_{1}=3, x_{2}=-3, y_{2}=4\)

Fill in the blanks in the slope calculation,

                                    \(m=\frac{(4)-(3)}{(-3)-(2)}\\\\=\frac{1}{-5}\\\\=-\frac{1}{5}\)

Reaction:  the slope of the line is =\(m=-\frac{1}{5} \approx-0.2\)

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Answer:

The answer will be 2/4

Step-by-step explanation:

If your painting 1/2 per 1/4 of an hour you simply add one to both since you are painting one in 1/4 of h (hour). Hope this helps! =0)

Answer:

30 minutes or 1/2 of an hour

Step-by-step explanation:

It takes 15 minutes to paint 1/2 of a wall. To find out how many minutes it will take to paint an entire wall, we multiply by two

1/2 x 2 = 1

15 x 2 = 30

It will take you 1/2 of an hour or 30 minutes to paint an entire wall

I Hope That This Helps! :)

a. Time: 11.25 hours

b. Time: 62.94 hours

c. Cases assembled: 11,289.6 cases/week

a. The car's speed is given as 25 meters per second, and we need to find the time it takes to travel 629 miles from Charlotte to New York. First, we convert the distance from miles to kilometers:

629 miles * 1.61 km/mile = 1012.69 km

Next, we convert the speed from meters per second to kilometers per hour:

25 meters/second * 3600 seconds/hour * 1 km/1000 meters = 90 km/hour

Now, we can calculate the time using the formula: time = distance / speed

time = 1012.69 km / 90 km/hour = 11.25 hours

Therefore, it will take approximately 11.25 hours for the car to travel from Charlotte to New York.

b. The hose flows water at a rate of 3.5 gallons per minute, and we need to find the time it takes to fill a 5.00 × 10^4 liter pool. First, we convert the pool volume from liters to gallons:

\(5.00 × 10^4 liters * 1 gallon / 3.7854 liters = 13208.13 gallons\)

Next, we convert the flow rate from gallons per minute to gallons per hour:

3.5 gallons/minute * 60 minutes/hour = 210 gallons/hour

Now, we can calculate the time using the formula: time = volume / flow rate

time = 13208.13 gallons / 210 gallons/hour = 62.94 hours

Therefore, it will take approximately 62.94 hours to fill the pool with the given flow rate.

c. The assembly line runs out 1.4 boxes per second, and we need to find the number of cases assembled in one week. First, we convert the production rate from boxes per second to boxes per day:

1.4 boxes/second * 60 seconds/minute * 60 minutes/hour * 16 hours/day = 80,640 boxes/day

Next, we convert the number of boxes to cases:

80,640 boxes/day / 50 boxes/case = 1612.8 cases/day

Finally, we calculate the number of cases assembled in one week:

1612.8 cases/day * 7 days/week = 11,289.6 cases/week

Therefore, the candy factory is able to assemble approximately 11,289.6 cases in one week of running the assembly line for 16 hours each day.

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Answer:

D

Step-by-step explanation:

Answer: One if any.

-x = x - 10                  Add x to both sides

-x+x = x + x - 10          Combine

0 = 2x - 10                   Add 10 to both sides

10 = 2x - 10+10            Combine

10 = 2x                         Divide by 2

10/2=2x/2

x = 5

Definite Answer: One Solution

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer: C. A definition

The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.

To draw the lines and indicate the point of intersection, you can follow these steps:

1. Draw a coordinate system on a piece of paper or using a drawing software.

2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.

3. Connect the two points with a straight line and label it as line A.

4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.

5. Connect the two points with a straight line and label it as line B.

6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.

7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.

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Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

What is the question? I am confused?

Answer:

Yes because it is a terminating decimal.

Step-by-step explanation:

To find the height of the person, we can set up a proportion using the given information.

Let's denote the height of the person as 'x'.

The proportion can be set up as follows:

(Height of building) / (Shadow of building) = (Height of person) / (Shadow of person)

Plugging in the given values:

100 ft / 25 ft = x / 1.5 ft

To solve for 'x', we can cross multiply:

(100 ft) * (1.5 ft) = (25 ft) * x

150 ft = 25 ft * x

Dividing both sides of the equation by 25 ft:

x = 150 ft / 25 ft

x = 6 ft

Therefore, the person is 6 feet tall.

In conclusion, the height of the person is 6 feet, based on the given proportions and calculations.

The height of the building is 100ft and the building cast a shadow of 25ft.

A person cast a shadow of 25ft so by using the proportion comparison the height of a person is 6ft.

Given that the height of a building is 100ft and the length of its shadow is 25ft. Let's assume that the height of a person is x whose length of the shadow is 1.5ft.

The ratio of the building's height to its shadow length is the same as the person's height to their shadow length.

Therefore, by using the proportion comparison we get,

(Height of building) / (Shadow of the building) = (Height of person) / (Shadow of person)

100/25= x/1.5

4= x/1.5

Multiplying both sides by 1.5 we obtain,

1.5×4= 1.5× (x/1.5)

x =1.5×4

x=6.0

Hence, the height of a person is 6ft if they cast a shadow of 1.5ft.

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Answer:

"there so pretty it hurts im not talking about boys im talking about girls there so pretty with their bottom up shirts AHHH WOAH AHHH"

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

' y = 3x + 1 ' is a equation of a linear function. The equation is in slope-intercept form. All slope intercept-form lines are linear.

An equation for a linear function has no exponents, no variables in fractions, and no square roots.

Hope this helps.

Answer:

b

Step-by-step explanation:

The following operations with functions:

1. (g-f)(1) = 7

2. (h-g)(t) = -1

3. (g -f(a) = -38 - a

4. g(3) - h(3) = -16

5. (h+g)(10) = -6

6. (f-g)(4) = 1

Complete each operation with functions.
1. (g-f)(1) = g(1) - f(1) = (2-1) - (-2-4) = 1 + 6 = 7
2. (h-g)(t) = h(t) - g(t) = (2t+1) - (2t+2) = -1
3. (g-f)(a) = g(a) - f(a) = (-30-3) - (a+5) = -33 - a - 5 = -38 - a
4. g(3) - h(3) = (2(3)-5) - (4(3)+5) = (6-5) - (12+5) = 1 - 17 = -16

5. (h+g)(10) = h(10) + g(10) = (3(10)+3) + (-4(10)+1) = (30+3) + (-40+1) = 33 - 39 = -6
6. (f-g)(4) = f(4) - g(4) = (4(4)-3) - (4+2(4)) = (16-3) - (4+8) = 13 - 12 = 1

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Answer:

radius: 8.4   Area: 221.5

Step-by-step explanation:

16.8 divided by 2 = 8.4

The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14

8.4₂ multiplied by 3.14

The perimeter of the triangle is 40 feet .

Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4

Now , According to the question:

Let the sides of triangle be a , b , c

a = 3x -4

b = x^2 -1

c = 2x^2 - 15

x = 4

Substitute the value of x in a, b , c

a = 3 × 4 -4 = 8 feet

b = 4 × 4 -1 = 15 feet

c = 2× 4× 4 - 15 = 17 feet

The perimeter of the triangle is sum of all sides

then, a + b + c

= 17 + 15 + 8 = 40 feet

Hence, The perimeter of the triangle is 40 feet .

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The height of the Burnett building to the nearest foot be is 444 feet

The angle from the horizontal to a point or the line of sight is measured with angles of elevation and depression.

when the points is high above the line of sight we have angle of elevation however when the line of sight is below the horizontal we have angle of depression

Given data

distance between the two buildings ( horizontal ) = 880 feet

angle of elevation = 8 degrees

angle of depression = 20 degrees

applying Trigonometry relations

for angle of elevation

tan 8 = h1 / 880

h1 = 123.676 feet

for angle of depression

tan 20 = h2 / 880

h2 = =880 * tan 20

h2 = 320.294

let the height of the Burnett building to the nearest foot be h

h = h1 + h2

h = 123.676 + 320.294

h = 443.97

h = 444 feet

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The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

\(\rm MOE = Z\times{\sqrt \dfrac{p(1-p)}{n}\\\)

Where   Z is the z-score at the confidence interval

            p is the population proportion

            n is the number of samples.

We have p = 68% = 0.68

n = 115

Z score for 90% confidence interval = 1.64

\(\rm MOE = 1.64\times{\sqrt \dfrac{0.68(1-0.68)}{115}\\\)

MOE = 0.071

So the confidence interval will be:

= (0.68-0.071, 0.68+0.071)

= (0.609, 0.751)  or

= (60.9%, 75.1%)

Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

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Answer:

3 hours

Step-by-step explanation:

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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We may conclude after answering the presented question that So Maeko  expression needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To find out how much more sunflower seeds

\(1 9/16 = (1 x 16) + 9 / 16 = 25/16\\3 1/2 - 1 9/16 = (7/2) - (25/16)\\(7/2) - (25/16) = (56/16) - (25/16) = 31/16\\31/16 = 1 15/16\\\)

So Maeko needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

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The product of each is

1) (3n + 2)(n + 3) = 3n² + 11n + 6

2) (n − 1)(2n − 2) = 2n² − 4n + 2

3) (2x + 3)(2x − 3) = 4x² − 9

4) (r + 1)(r − 3) = r² − 2r - 3

5) (2n + 3)(2n + 1) = 4n² + 8n + 3

6) (3p − 3)(p − 1) = 3p² − 6p + 3

7) (3p + 3)(3p + 2) = 9p² + 15p + 6

8) (k − 2)(k − 3) = k² − 5k + 6

9) (v − 1)(3v − 3) = 3v² − 6v + 3

10) (2x − 3)(3x + 3) = 6x² − 3x − 9

We have to determine the product of each.

1) (3n + 2)(n + 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(3n + 2)(n + 3) = n(3n + 2) + 3(3n + 2)

Simplify

(3n + 2)(n + 3) = 3n² + 2n + 9n + 6

(3n + 2)(n + 3) = 3n² + 11n + 6

2) (n − 1)(2n − 2)

To find the product we use Distributive property.

a(b + c) = ab + bc

(n − 1)(2n − 2) = 2n(n − 1) − 2(n − 1)

(n − 1)(2n − 2) = 2n² − 2n − (2n − 2)

Simplify

(n − 1)(2n − 2) = 2n² − 2n − 2n + 2

(n − 1)(2n − 2) = 2n² − 4n + 2

3) (2x + 3)(2x − 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(2x + 3)(2x − 3) = 2x(2x + 3) − 3(2x + 3)

(2x + 3)(2x − 3) = 4x² + 6x − (6x + 9)

Simplify the bracket

(2x + 3)(2x − 3) = 4x² + 6x − 6x - 9

(2x + 3)(2x − 3) = 4x² − 9

4) (r + 1)(r − 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(r + 1)(r − 3) = r(r + 1) − 3(r + 1)

(r + 1)(r − 3) = r² + r − 3r - 3

(r + 1)(r − 3) = r² − 2r - 3

5) (2n + 3)(2n + 1)

To find the product we use Distributive property.

a(b + c) = ab + bc

(2n + 3)(2n + 1) = 2n(2n + 3) + 1(2n + 3)

(2n + 3)(2n + 1) = 4n² + 6n + 2n + 3

(2n + 3)(2n + 1) = 4n² + 8n + 3

6) (3p − 3)(p − 1)

To find the product we use Distributive property.

a(b + c) = ab + bc

(3p − 3)(p − 1) = p(3p − 3) − 1(3p − 3)

(3p − 3)(p − 1) = 3p² − 3p − 3p + 3

(3p − 3)(p − 1) = 3p² − 6p + 3

7) (3p + 3)(3p + 2)

To find the product we use Distributive property.

a(b + c) = ab + bc

(3p + 3)(3p + 2) = 3p(3p + 3) + 2(3p + 3)

Simplify the bracket

(3p + 3)(3p + 2) = 9p² + 9p + 6p + 6

(3p + 3)(3p + 2) = 9p² + 15p + 6

8) (k − 2)(k − 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(k − 2)(k − 3) = k(k − 2) − 3(k − 2)

(k − 2)(k − 3) = k² − 2k − 3k + 6

(k − 2)(k − 3) = k² − 5k + 6

9) (v − 1)(3v − 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(v − 1)(3v − 3) = 3v(v − 1) − 3(v − 1)

(v − 1)(3v − 3) = 3v² − 3v − 3v + 3

(v − 1)(3v − 3) = 3v² − 6v + 3

10) (2x − 3)(3x + 3)

To find the product we use Distributive property.

a(b + c) = ab + bc

(2x − 3)(3x + 3) = 3x(2x − 3) + 3(2x − 3)

(2x − 3)(3x + 3) = 6x² − 9x + 6x − 9

(2x − 3)(3x + 3) = 6x² − 3x − 9

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The complete question is:

Find each product.

1) (3n + 2)(n + 3)

2) (n − 1)(2n − 2)

3) (2x + 3)(2x − 3)

4) (r + 1)(r − 3)

5) (2n + 3)(2n + 1)

6) (3p − 3)( p − 1)

7) (3p + 3)(3p + 2)

8) (k − 2)(k − 3)

9) (v − 1)(3v − 3)

10) (2x − 3)(3x + 3)

Answer: 5.7

Step-by-step explanation: Add up the numbers 12.5+5.7+18.2 and subtract by 30.7 to get 5.7

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

The ratio of women to men that the school employs can be expressed as:

6:8

This ratio can be simplified by dividing both sides by their greatest common factor, which is 2:

6 ÷ 2 : 8 ÷ 2

3 : 4

Therefore, the ratio of women to men in simplest form is 3:4.

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

To reduce a fraction to its simplest term, we always divide both the numerator and denominator by the Least Common Multiple (LCM)