A work ladder can extend to 8 meters. How many centimeters is that? How many kilometers is that? Use 1000 m) unit analysis to solve this conversion problem (1 km ==​

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

Answer:

3 we divid them to gather

Step-by-step explanation:

it is number3 3

a. The probability that customers did not see dolphins on a randomly selected trip is 7/40.

b. The probability that customers did not see dolphins given that the trip was in the morning is 3/22.

c. The events of seeing dolphins and the time of the trip (morning or afternoon) are dependent events because the probability of seeing dolphins varies based on the time of the trip, as indicated by the different counts in the two-way table.

a. To find the probability that customers did not see dolphins on a randomly selected trip, we need to calculate the number of trips where dolphins were not seen and divide it by the total number of trips.

The number of trips where dolphins were not seen is the sum of the "no dolphins" counts in the morning and afternoon, which is 3 + 4 = 7.

Therefore, the probability of not seeing dolphins on a randomly selected trip is 7/40.

b. To find the probability that customers did not see dolphins under the condition that the trip was in the morning, we need to consider the number of trips in the morning where dolphins were not seen.

The number of morning trips where dolphins were not seen is given as 3.

Since we are conditioning on the trip being in the morning, the total number of trips we consider is limited to the morning trips, which is 19 + 3 = 22.

Therefore, the probability of not seeing dolphins given that the trip was in the morning is 3/22.

c. The events of seeing dolphins and the time of the trip (morning or afternoon) are dependent events.

This is because the probability of seeing dolphins is influenced by the time of the trip.

The probabilities of seeing dolphins differ between morning and afternoon trips, as indicated by the different counts in the two-way table.

If the events were independent, the probability of seeing dolphins would be the same regardless of the time of the trip.

However, since the probabilities vary based on the time of the trip, we can conclude that the events of seeing dolphins and the time of the trip are dependent.

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The area of Mary Beth's rectangle is 289/16 square units.

To find the area of Mary Beth's rectangle, we need to multiply its length by its width. In this case, the length and width are both 4 1/4 units.

To calculate the area, we first need to convert 4 1/4 into an improper fraction. To do that, we multiply the whole number (4) by the denominator (4), and then add the numerator (1). This gives us a total of 17/4.

Now, to find the area, we multiply the length (17/4) by the width (17/4):

(17/4) * (17/4)

= (17 * 17) / (4 * 4)

= 289/16

Therefore, the area of Mary Beth's rectangle is 289/16 square units.

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Answer:

9 7/12

Step-by-step explanation:

you may have mis typed an answer or the answer choice has a typo

8 5/6 - 5 1/2 + 6 1/4 or 8.83333333 - 5.5 + 6.25 = 9.58333333 or 9 7/12

Answer:

It will take 8 years to earn $120 interest.

Step-by-step explanation:

Giving the following information:

Principal= $600

Interest= $120

Interest rate= 2.5% = 0.025

To calculate the time required to reach the objective, we need to use the following formula:

I= P*r*t

I= interest

P= principal

r= rate

t= time

We isolate t:

t= I / (P*r)

t= 120 / (600*0.025)

t= 8

It will take 8 years to earn $120 interest.

An equation is formed of two equal expressions. The distance between the lines of the two equations is 0.5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The distance between the equation y=-4x+5 and y=-4x+7 can be found by plotting the equation of the graph and then finding the distance between the two lines.

Hence, the distance between the lines of the two equations is 0.5.

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evaluate the double integral in two ways from type i region and type ii region 291/20 and 216.

First, let's express the region D as a region of type I and type II.

For type I, we have x bounded by vertical lines and y bounded by the given curves:

x: a ≤ x ≤ b (where a and b are the points where y = x²and y = 3x intersect)
y: x^2 ≤ y ≤ 3x

For type II, we have y bounded by horizontal lines and x bounded by the given curves:

y: c ≤ y ≤ d (where c and d are the y-values at the intersection points of y = x² and y = 3x)
x: y/3 ≤ x ≤ √(y)

Next, let's find the intersection points of the curves y = x² and y = 3x. To do this, set them equal to each other:

x² = 3x
x² - 3x = 0
x(x - 3) = 0

This gives us x = 0 and x = 3. The corresponding y-values are y = 0 and y = 9. Now we can define the bounds for type I and type II regions:

Type I: 0 ≤ x ≤ 3, x² ≤ y ≤ 3x
Type II: 0 ≤ y ≤ 9, y/3 ≤ x ≤ √(y)

Finally, we can evaluate the double integral in two ways:

1. For Type I region:
∬D xy dA = ∫(from 0 to 3) ∫(from x² to 3x) xy dy dx

2. For Type II region:
∬D xy dA = ∫(from 0 to 9) ∫(from y/3 to √(y)) xy dx dy

Evaluate both double integrals to obtain the final answers.

Therefore, the double integral evaluated in two ways gives us two different results: 291/20 and 216.

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Answer:

There is an outlier at 28.

5x-12-6x=-10x+7-1

=5x-6x+10x=7-1+12

= 9x=18

=9x/9=18/9

=x=2

Using Simple algebraic operation,

Total 432 unit's 24-hour ice prodution .

We have given that ,

A ice cube prodution machine working hours

= 24 hour

One ice making time by ice prodution machine

= 19 minutes

Ice droping time = 1 minutes

total time to ice making and put it into batch

= 20 minutes

Weight of each batch of ice = 6 pounds

We hace to find out the unit's of ices production in 24-hours.

total number of minutes in one hour = 60 minutes

so, total number of minutes in 24-hours = 60 × 24

= 1440 minutes

20 minutes are elapsed to make and put one ice into ice batch .

then , 1 minutes is elapsed to make and put ice in ice batch = 1/20 ice

1440 mintues elapsed to make number of ice and put in ice batch = 1440 × 1/20 = 72 ice or ice batch

the unit's 24-hour ice cube prodution= 6 × 72

= 432

Hence, total 432 unit's 24-hour ice prodution.

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using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Given,

Total distance \(=2\frac{1}{2}\) miles

You run 1/3 of that distance on a hill.

Distance on a hill\(=\frac{1}{3} * 2\frac{1}{2}\) miles

You run down a slope for the last 1/2 of the hill=\(\frac{1}{3} * 2\frac{1}{2}*\frac{1}{2}\) miles\(=\frac{5}{12}\) miles

Distance you run down the slope \(=\frac{5}{12}\) miles

Step-by-step explanation:

26-4s=9s

26=9s+4s

26=13s

s=26/13

s=2

-3r+10=15r-8

-3r-15r=-8-10

-18r=-18

r=-18/-18

r=1

-9(t-2)=4(t-15)

-9t+18=4t-60

-9t-4t=-60-18

-13t=-78

t=-78/-13

t=6

At the equator, an arc-second of longitude approximately equals an arc-second of latitude, which is 1/60th of a nautical mile (or 101.27 feet or 30.87 meters)

1° = 11(5280) ft

1° = 58080 ft

1' = 58080 ft/ 60  

1" = 58080 ft / 3600

At the equator 360° = 3960 miles

1° = 11 miles

Knowing that one mile is 5280 feet we can determine the length of one minute and one second.

An equator is an imaginary line around the middle of a planet or other celestial body. It is halfway between the north pole and the south pole, at 0 degrees latitude. An equator divides the planet into a northern hemisphere and a southern hemisphere. Earth is widest at its Equator.

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At the equator, an arc-second of longitude approximately equals an arc-second of latitude, which is 1/60th of a nautical mile (or 101.27 feet or 30.87 meters)

1° = 11(5280) ft

1° = 58080 ft

1' = 58080 ft/ 60  

1" = 58080 ft / 3600

At the equator 360° = 3960 miles

1° = 11 miles

Knowing that one mile is 5280 feet we can determine the length of one minute and one second.

An equator is an imaginary line around the middle of a planet or other celestial body. It is halfway between the north pole and the south pole, at 0 degrees latitude. An equator divides the planet into a northern hemisphere and a southern hemisphere. Earth is the widest at its Equator.

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Answer:

(6^2)3n

Step-by-step explanation:

6 to the 2nd is 6^2, and since it's hard to tell whether the *n is part of the exponent, I put parentheses around the 6^2. Then just multiply by 3 by adding a 3 to the n.

Answer:

Step-by-step explanation: Raising 6 to the second power means 6 squared, then you multiply it by n so it would be n x 6^2, and then you multiply all of that by 3 so 3(n x6^2)

Answer:

w = 4 or w=-3.5

Step-by-step explanation:

This likely factors into

(2w  + 7)(w - 4) = 0

in which case there are 2 factors.

2w + 7 = 0

w = - 3.5      or

w - 4 = 0

w = 4

Answer:

What are you trying to solve? That equals 6/8

Step-by-step explanation:

The correct answer to the question "z scores that fall below the mean are" is "negative". Z-scores are measures of relative standing that can be used to make comparisons among the scores in the distribution by transforming raw data into standardized units.

The formula for z-score is:z = (X-μ)/σz-scores can be negative, zero, or positive numbers. A negative z-score tells us that the corresponding score is below the mean and vice versa.In addition to this, the mean of all z-scores is always zero. If the mean of all z-scores is zero, that means that z-scores are measuring deviation from the mean. If a z-score is below the mean, it means that the corresponding raw score is below the mean, which results in a negative z-score.

Z-scores that fall below the mean are negative. Z-scores are statistical values that allow analysts to transform raw data into standardized units that make comparisons possible among scores in the distribution. The formula for calculating the z-score is: z = (X-μ)/σThe z-score can be either negative, zero, or positive, depending on whether the value is below, equal to, or above the mean, respectively. Because the mean of all z-scores is always zero, z-scores can be used to measure deviation from the mean, with a negative z-score indicating that the corresponding raw score is below the mean. Z-scores allow us to compare the scores in the distribution by converting them into standard units. Negative z-scores are associated with scores that are below the mean. Conversely, positive z-scores are associated with scores that are above the mean.

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Yes, X is binomial because it meets the four criteria for a binomial distribution. X, representing the number of games the team wins, is a binomial random variable.

Yes, X is binomial because it meets the four criteria for a binomial distribution:
1) there are a fixed number of trials (12 games),
2) each trial is independent (the outcome of one game does not affect the outcome of another game),
3) there are only two possible outcomes for each trial (win or lose), and
4) the probability of success (winning) is constant for each trial (assuming the team's ability does not change throughout the season).

Yes, X is a binomial random variable because it meets the criteria for a binomial experiment. The criteria are:

1. Fixed number of trials (n): The soccer team plays 12 games in its regular season.
2. Two possible outcomes: Each game can result in either a win or a loss.
3. Independent trials: The outcome of each game is independent of the outcomes of the other games.
4. Constant probability of success (p): The probability of winning a game remains the same for each game played.

Therefore, X, representing the number of games the team wins, is a binomial random variable.

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The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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The approximate price of a 12oz box of Kellogg's Corn Flakes in 2008, with an initial price of $0.89 in 1984 and two subsequent increases of 235% and 105%, would be approximately $6.12

To calculate the price of a 12oz box of Kellogg's Corn Flakes in 2008, considering an increase of 235% and an additional increase of 105% from the initial price in 1984, we can follow these steps:

Step 1: Calculate the first increase of 235%:

First, we need to find the price after the first increase. To do this, we multiply the initial price in 1984 by 235% and add it to the initial price:

First increase = $0.89 * (235/100) = $2.09315

New price after the first increase = $0.89 + $2.09315 = $2.98315 (rounded to 5 decimal places)

Step 2: Calculate the additional increase of 105%:

Next, we need to calculate the second increase based on the price after the first increase. To do this, we multiply the price after the first increase by 105% and add it to the price:

Second increase = $2.98315 * (105/100) = $3.13231

New price after the additional increase = $2.98315 + $3.13231 = $6.11546 (rounded to 5 decimal places)

Therefore, the approximate price of a 12oz box of Kellogg's Corn Flakes in 2008, with an initial price of $0.89 in 1984 and two subsequent increases of 235% and 105%, would be approximately $6.12.

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Answer:

\(3(x + 4) = 3x + 11 \\ 3x + 12 = 3x + 11 \\ 3x - 3x = 12 - 11 \\ 0 = 1\)

So; Not solution

The lines of reflection for a rectangle are the vertical and horizontal lines passing through its center, creating two axes of symmetry.

When discussing the lines of reflection for a rectangle, it is important to understand the concept of symmetry. Symmetry refers to the balanced arrangement of parts or shapes, where one side is an exact mirror image of the other. In the case of a rectangle, there are two lines of reflection that create this symmetry: the vertical line of reflection and the horizontal line of reflection.

The vertical line of reflection runs vertically through the center of the rectangle, dividing it into two equal halves. When the rectangle is reflected across this line, each point on one side is mirrored onto the other side, resulting in an identical shape. Similarly, the horizontal line of reflection runs horizontally through the center of the rectangle, also dividing it into two equal halves. Reflecting the rectangle across this line produces the same effect, with each point on one side being mapped onto the corresponding point on the other side. These lines of reflection highlight the symmetrical properties of the rectangle, allowing for a clearer understanding of its transformational characteristics.

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In interval notation, we can represent this solution as: (-∞, -7]

To solve the inequality -3x + 5 >= 26, we can follow these steps:

Step 1: Subtract 5 from both sides of the inequality:

-3x + 5 - 5 >= 26 - 5

-3x >= 21

Step 2: Divide both sides of the inequality by -3. Remember to reverse the inequality symbol when dividing by a negative number:

(-3x)/(-3) <= 21/(-3)

x <= -7

So the solution to the inequality -3x + 5 >= 26 is x <= -7.

In interval notation, we can represent this solution as:

(-∞, -7]

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Answer:

Step-by-step explanation:

a=0.5

(a) An observer standing beside a one-lane road counted in 5 minutes 20 cars traveling at 30 mph, 30 cars traveling at 50 mph and 10 cars traveling at 60 mph. The time-mean speed of the observed cars is 900 mph.

(b) The average headway of the cars is 5.08 minutes (approximately).

(a) To calculate the space and time-mean speeds of the observed cars, we need to consider the total distance traveled and the total time taken by the cars.

Given data:

Number of cars traveling at 30 mph = 20

Number of cars traveling at 50 mph = 30

Number of cars traveling at 60 mph = 10

To find the space-mean speed, we calculate the weighted average of the speeds based on the number of cars at each speed:

Space-mean speed = [(20 cars * 30 mph) + (30 cars * 50 mph) + (10 cars * 60 mph)] / (20 + 30 + 10)

               = (600 + 1500 + 600) / 60

               = 2700 / 60

               = 45 mph

The space-mean speed of the observed cars is 45 mph.

To find the time-mean speed, we calculate the total distance traveled and divide it by the total time taken:

Total distance traveled = (20 cars * 30 mph * 5/60 hours) + (30 cars * 50 mph * 5/60 hours) + (10 cars * 60 mph * 5/60 hours)

                      = (25 miles + 41.67 miles + 8.33 miles)

                      = 75 miles

Total time taken = 5 minutes = 5/60 hours

Time-mean speed = Total distance traveled / Total time taken

               = 75 miles / (5/60) hours

               = 75 miles * (60/5)

               = 900 mph

(b) Average headway is the average time interval between successive cars passing a given point.

To find the average headway, we need to calculate the total time taken by all the cars and divide it by the total number of intervals:

Total time taken by all the cars = (20 cars + 30 cars + 10 cars) * 5 minutes

                              = 60 cars * 5 minutes

                              = 300 minutes

Total number of intervals = 60 cars - 1 (as there is no interval after the last car)

Average headway = Total time taken by all the cars / Total number of intervals

              = 300 minutes / 59 intervals

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