Microsoft Windows XP operating system is installed on 20% of the company's computers, Microsoft Windows 7 is installed on 85% of computers, and Linux operating system is installed on 10%. At the same time, Linux and Microsoft Windows 7 are installed on 6% of computers, Microsoft Windows XP and Linux on 4%, all three programs are installed on 2% of computers. How many percent of computers have the Microsoft operating system installed?

For a z-score, We  transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions i.e. D.

What exactly is the z-score?

The z-score is a statistical measurement that describes a value's relationship to the mean of a collection of values. The z-score formula is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The sum of a collection of numbers divided by the total number of numbers in the set is known as the arithmetic mean, sometimes known as the arithmetic average or simply the mean or average. A survey, experiment, or observational research is usually used to create the collection.

Now,

As Z-scores are standardized scores that identify and define each score's exact placement within a distribution. We may conduct meaningful comparisons of z-scores across various samples or groups by converting our data (raw score).

hence,

          We transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions.

To know more about z-score visit the link

https://brainly.com/question/15016913?referrer=searchResults

#SPJ1

The point of intersection can be found by setting the equations equal, dividing by the same quantity, taking the natural log, and dividing by ln(1.25).

[tex]2500(1.25^t) = 6000(0.3^t)[/tex]

[tex]2500*1.25^t = 6000*0.3^t[/tex]

Divide both sides by 2500:

[tex]1.25^t = 0.3^t * (6000/2500)[/tex]

Divide both sides by[tex]0.3^t[/tex]:

[tex]1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]

Take the natural log of both sides:

[tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]

Divide both sides by ln(1.25):

[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]

The point of intersection is t = ln((6000/2500) / [tex]0.3^t[/tex]) / ln(1.25).

The point of intersection of two exponential functions can be found algebraically by setting the two equations equal to each other and solving for the variable t. For example, if we want to find the point of intersection of [tex]2500(1.25^t) = 6000(0.3^t)[/tex], we can start by setting the two equations equal to each other and dividing both sides by [tex]2500: 1.25^t = 0.3^t * (6000/2500)[/tex]. Then we can divide both sides by[tex]0.3^t: 1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]. We then take the natural log of both sides: [tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]. Finally, we divide both sides by ln(1.25): [tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]. This means that the point of intersection is[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25).[/tex] In conclusion, the point of intersection of two exponential functions can be found algebraically by setting the two equations equal to each other, dividing both sides by the same quantity, taking the natural log of both sides, and then dividing both sides by ln(1.25).

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.

The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:

0.35 x 100% = 100% x (1/2)^(t/5730)

where t is the number of years since the artifact was made.

Simplifying this equation, we get the following:

0.35 = 0.5^(t/5730)

Taking the logarithm of both sides, we get:

log(0.35) = (t/5730) x log(0.5)

Solving for t, we get:

t = (5730 x log(0.35)) / log(0.5)

Using a calculator, we get:

t ≈ 3,183 years

Therefore, the wooden artifact was made approximately 3,183 years ago.

To learn more about wooden artifact, visit here

https://brainly.com/question/19264491

#SPJ4

The number of ways can a train made up consisting of tank cars, box cas and flat cars is 166320

Total number of tank cars = 4

Total number of Box cars = 112

Total number of flat cars = 5

Here we have to apply the concept of combinations

Number of ways of selecting 2 tank car from 5 = [tex]4C_2[/tex]

= 4! / 2!( 4-2) !

= 6

Number of ways of selecting 5 Box cars from 12 = [tex]12C_5[/tex]

= 12! / 5!(12-5)!

= 792

Number of ways of selecting 3 flat cars from 7 = [tex]7C_3[/tex]

= 7! / 3!(7-3)!

= 35

Number of possible ways can a train be made up = 6 × 792 × 35

Multiply the numbers

= 166320

Therefore, the number of possible ways is 166320

Learn more about combinations here

brainly.com/question/2295036

#SPJ4

The given question is incomplete, the complete question is :

Freight Train CarsIn a train yard there are 4 tank cars. 12 boxcars, and 7 flatcars. How many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flatcars?

Answer:

2. More time spent on homework results in higher grades.

Step-by-step explanation:

The more time spent on homework pays off in higher grades. If this is incorrect my apologies.

More weight on one side of a balance scale will tip the scale in that direction is relationship is an example of causation.

Causation is the capacity of one variable to influence another.

Causation means that a change in one variable results in a change in another variable.

More weight on one side of a balance scale will tip the scale in that direction.

In this case, adding more weight to one side of the scale will directly cause it to tip in that direction.

There is a correlation between the variables, but it's not necessarily a direct cause-and-effect relationship.

The more education a person has, the more they read suggests that education and reading are correlated, but having more education doesn't necessarily cause a person to read more.

Hence,  More weight on one side of a balance scale will tip the scale in that direction is an example of causation.

To learn more on Causation click:

https://brainly.com/question/10971583

#SPJ2

The Correct option Will be  An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem i.e. A.

The likelihood of an event is expressed by probability. The occurrence of a random event is the subject of this mathematical field of study. The value is between zero and one. In mathematics, probability is a tool for calculating the likelihood that certain events will take place.

Probability is the possibility of something happening. The probability distribution also makes use of this central concept in probability theory. We must first ascertain the total number of possibilities before calculating the likelihood that a specific event will occur.

When something unusual happens, it does not happen frequently in terms of sight or sound.

The probability that an event will occur P(E) = the number of positive outcomes divided by the total number of outcomes.

Now,

As an unusual event has low probability because it does not happen often and The same cutoff should not be used to detect unexpected events all of the time. Choosing a cutoff is subjective, and it should consider the repercussions of erroneously labelling an occurrence as rare.

Hence,

            An event is unusual if it has a low probability of occurring The choice of a cutoff should consider the context of the problem.

To know more about probability visit the link

https://brainly.com/question/30034780

#SPJ1

The probability of winning $2 without getting below $0 at any time is 1/4  or 0.25.

To calculate the probability of winning $2 without getting below $0 at any time, we can use a branching diagram to track the possible outcomes.

Starting from $0, there are two possible outcomes for the first flip: heads or tails. If the first flip heads, the outcome is $1 and there are two possible outcomes for the second flip: heads or tails. If the second flip heads, the outcome is $2 and we have won the game. If the second flip is tails, the outcome is back to $0 and we have to start over. If the first flip is tails, the outcome is $-1 and we also have two possible outcomes for the second flip: heads or tails. If the second flip heads, the outcome is back to $0 and we have to start over. If the second flip is tails, the outcome is $-2 and we have lost the game.

Putting all of the possible outcomes together, we get the following branching diagram:

              H                              T

         /          \                       /     \

       H             T                  H      T

     /     \          /                      \

    H      T     T                        H

   $2    $0   -$1                       -$2

The only way to win $2 without getting below $0 at any time is to get two heads in a row. This can only happen along the top branch of the diagram, which has a probability of (1/2) * (1/2) = 1/4.

Therefore, the probability of winning $2 without getting below $0 at any time is 1/4 or 0.25.

For more such questions on Probability: brainly.com/question/14349540

#SPJ4

For the required linear function , the height of the candle when the amount of time for  burning a candle is 16 hours is equal to 18.8 centimeters.

Let 'h' be the height of the candle.

And 't' be the amount of time used for burning.

Required linear function is :

h = mt + c

When t = 8 hours  , h = 20.4centimeters

20.4 = 8m + c ___(1)

When t = 19 hours  , h = 18.2centimeters

18.2 = 19m + c ___(2)

Subtract (2) from (1) we get,

20.4 = 8m + c

18.2 = 19m + c

2.2 = -11m

⇒ m = -2.2 / 11

⇒ m = -0.2

Substitute in (1) we get,

20.4  = 8( -0.2 ) + c

⇒ c = 20.4 + 1.6

⇒ c = 22

Now , h = -0.2t + 22

When t = 16 hours

⇒ h = -0.2(16) + 22

⇒ h = -3.2 + 22

⇒ h = 18.8 centimeters

Therefore, the height of the candle when amount of time of burning is 16 hours is equal to 18.8 centimeters.

The above question is incomplete, the complete question is:

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 8 hours of burning, a candle has a height of 20.4 centimeters. After 19 hours of burning, its height is 18.2 centimeters. What is the height of the candle after 16

hours?

Learn more about height here

brainly.com/question/10726356

#SPJ4

The final mixture contains 7 quarts.

What is Mixture?

A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.

First, let's add up the amount of the three ingredients to find the total volume of the mixture:

144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz

Now, we can convert fluid ounces to quarts:

1 quart = 32 fluid ounces

So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:

224 fl oz / 32 fl oz/quart = 7 quarts

Therefore, The final mixture contains 7 quarts.

To know more about mixture visit,

https://brainly.com/question/2331419

#SPJ1

Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.

Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.

In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.

When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.

The formula to calculate the amount of sales tax is:

Sales tax amount = Purchase price x Tax rate

Using the given values, we can plug them into the formula and solve for the tax amount:

Sales tax amount = $842 x 0.06

Sales tax amount = $50.52

To know more about tax rate here.

https://brainly.com/question/12395856

#SPJ4

Answer:

5s + 4j where s is the cost of shirts and j is the cost of jeans

Step-by-step explanation:

for shirts, we can represent it with s

for jeans, we can represent it with j

steve is buying two shirts (s) and three jeans (j), so we can write Steve's cost as 2s+3j

his brother buys three shirts (s) and one pair of jeans (j), so we can write his brothers cost as 3s+1j

now, steve's cost is 2s+3j

and his brother's is 3s+1j

we can add these together to find the total cost

2s + 3j + 3s + 1j

combine like terms

5s + 4j

The total cost of the shirts and jeans are,

⇒ 5x + 4y

Where, x is cost of each shirt and y is cost of each jeans.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

For the summer, Steve buys 2 shirts and 3 pairs of jeans. His brother buys 3 shirts and 1 pair of jeans.

Let the cost of each shirt = x

And, The cost of each jeans = y

Hence, We get;

Cost of Steve shirts and jeans = 2x + 3y

And, Cost of his brother shirts and jeans = 3x + y

Thus, The total cost of the shorts and jeans are,

⇒ 2x + 3y + 3x + y

⇒ 5x + 4y

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

The algebraic expression that represents the amount that they still need to raise is given as follows:

A. 2x² - 9xy - 1.

The total amount that the three friends want to raise is defined as follows:

7x² - 4xy + 8.

The total amount raised is obtained adding the amounts raised by each of the friends, as follows:

5xy + 16 + x² + 4x² - 7 = 5x² + 5xy + 9.

Then the remaining amount to be raised is obtained by the subtraction of the total amount by the amount raised, as follows:

7x² - 4xy + 8 - (5x² + 5xy + 9) = 7x² - 5x² - 4xy - 5xy + 8 - 9

7x² - 4xy + 8 - (5x² + 5xy + 9) = 2x² - 9xy - 1.

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

The equivalent expression to -4x² + 2x - 5(1 + x) is given as follows:

-4x² - 3x - 5.

The expression for this problem is defined as follows:

-4x² + 2x - 5(1 + x)

To obtain the equivalent expression, we apply the distributive property to -5(1 + x) as follows:

-5(1 + x) = -5 - 5x.

Then the expression is given as follows:

-4x² + 2x - 5 - 5x.

Combining the like terms, we have that the expression is given as follows:

-4x² - 3x - 5.

More can be learned about simplification of expressions at https://brainly.com/question/30142908

#SPJ1

A fair coin and a fair six-sided die, the sample space can be represented as:

{ (H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6) }

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

The sample space for this experiment can be described as the set of all possible outcomes of the coin toss and die cast. One way to represent the sample space is to use the Cartesian product of the sample space for the coin toss and the sample space for the die cast.

where H represents heads and T represents tails for the coin toss, and the numbers 1 through 6 represent the numbers on the die.

Each element in this sample space represents a possible outcome of the experiment, where the first element represents the outcome of the coin toss and the second element represents the outcome of the die cast. This sample space contains 12 possible outcomes, each with an equal probability of 1/12.

For such more questions on sample space

https://brainly.com/question/10558496

#SPJ4

The answer is 10.5

First you need to subtract the ending cost (25.50) giving you $52.5

With that 52.5 just divide by the amount of shirts bought (5) and you get 10.5 per shirt.

Answer:

10.50

Step-by-step explanation:

you take 78 and subtract that by 25.50 which gives you how much money he spends on the 5 t-shirts. that will 52.50

now you know that he spends 52.50 on 5 t-shirts, so you divide that by 5 which gives you 10.50

hope it helps

please mark brainliest

Answer: To solve the system of equations using substitution, we'll start by rearranging one of the equations so that one of the variables can be expressed in terms of the other. In this case, we'll rearrange the second equation to find y in terms of x.

y = 2x + 4

Next, we'll substitute this expression for y into the first equation:

+3x + 5(2x + 4) = 7

Expanding the right-hand side:

+3x + 10x + 20 = 7

Combining like terms:

13x + 20 = 7

Subtracting 20 from both sides:

13x = -13

Dividing both sides by 13:

x = -1

Finally, we'll use the expression we found for y in terms of x to find the corresponding value of y:

y = 2x + 4

y = 2(-1) + 4

y = -2 + 4

y = 2

So the solution to the system is (x, y) = (-1, 2).

Step-by-step explanation:

The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 7xy + 20. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental mathematical operations that can be used to express any real number are referred to as "arithmetic operations" in mathematics. The four operations are addition, subtraction, division, and multiplication.

We are given the total contribution goal as 8x² - 4xy + 9

Amounts collected by:

Martin = 3xy + 17

Tyreese =  x²

Braydon = 2x² - 6

So, the total amount collected till now is

(3xy + 17) + x² + (2x² - 6) = 3x² + 3xy - 11

Amount left to be collected is

⇒(8x² - 4xy + 9) - (3x² + 3xy - 11)

⇒8x² - 4xy + 9 - 3x² - 3xy + 11

⇒5x² - 7xy + 20

Hence, the expression is 5x² - 7xy + 20.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

#SPJ1

Using combinatorics, there are 1926 ways to distribute 9 different computer games among Wendy, Jim, and Hannah so that each person receives an odd number of games.

If each person receives an odd number of games, then the number of games must be 1, 3, 5, or 7. There are four odd numbers to choose from.

We can use combinatorics to find the odd number in each turn.

Let's consider each odd number in turn.

If each person gets 1 game, then we are looking for the number of ways to choose 3 games out of 9 to distribute. This is simply the number of combinations of 3 things taken from a set of 9 things, which is 9C3, or (9!)/(3!6!) = 84.

If each person gets 3 games, then we are looking for the number of ways to choose 3 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 6 games to distribute to the other two people. The number of ways to choose 3 games out of 9 is again 84, but we must multiply this by the number of ways to choose 3 games out of the remaining 6. This is 6C3, or (6!)/(3!3!) = 20. Therefore, the total number of ways to distribute 9 games with each person getting 3 games is 84*20 = 1680.

If each person gets 5 games, then we are looking for the number of ways to choose 5 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 4 games to distribute to the other two people. The number of ways to choose 5 games out of 9 is 126, and the number of ways to choose 4 games out of the remaining 4 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 5 games is 126*1 = 126.

If each person gets 7 games, then we are looking for the number of ways to choose 7 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 2 games to distribute to the other two people. The number of ways to choose 7 games out of 9 is 36, and the number of ways to choose 2 games out of the remaining 2 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 7 games is 36*1 = 36.

Adding up the number of ways to distribute the games in each case, we get 84 + 1680 + 126 + 36 = 1926.

Learn more on combinations here;

https://brainly.com/question/4658834

#SPJ1

Answer:

JGK = 29 degrees

Step-by-step explanation:

i hope this helped :)

Answer:

x = 4

The missing angle is 28°

Step-by-step explanation:

7x + 62 = 90  These angles are complementary which means that they add to 90°

7x + 62 = 90  Subtract 62 from both sides of the equation

7x = 28  Divide both sides by 7

x = 4

The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.

From the given options if we observe the third option,

4 + 5 should be greater than 10 but it is not therefore, It is the correct option.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ9

If the ratio of winners to players remains the same as last year, the balloon dart booth can expect to have 85 winners among 204 players and lose $136.

A ratio compares two quantities or values. In this case, the ratio we are interested in is the ratio of winners to players.

Last year, out of 12 players, 4 popped 2 balloons and 1 player popped 3 balloons. Therefore, the total number of players who won prizes was 4+1=5. The ratio of winners to players is 5/12.

To calculate the number of winners this year, we can use the same ratio. If we assume that the ratio of winners to players is constant, we can set up the following proportion:

(winners/players) = (5/12)

Let's solve for the number of winners among 204 players:

(winners/204) = (5/12)

winners = (5/12) * 204

winners = 85

Therefore, we can expect 85 winners among 204 players if the ratio of winners to players remains the same as last year.

Now let's calculate the potential earnings or losses for the booth. Each player pays $1 for three darts, so the booth will earn 204*1 = $204.

Out of the 204 players, we expect 85 winners. Each winner receives a prize worth $4, so the total cost of prizes is 85*4 = $340.

The booth earns $204 and spends $340 on prizes, resulting in a loss of $136.

To know more about ratio here.

https://brainly.com/question/13419413

#SPJ4

Complete Question:

At the balloon dart booth, players are charged $1 for the chance to throw 3 darts. Prizes worth $4 each are awarded to players who pop at least 2 balloons. Last year, 4 out of 12 players popped 2 balloons, and 1 out of 12 players popped 3 balloons.

If the ratio of winners to players is the same this year and 204 people play the game, how much money will the booth earn or lose?

Answer: 54 degrees

Step-by-step explanation:

The angle will be half of that arc segment

The points on the graph of the equation represent the solution set to the equation.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is the equation as -

- x - y = 4

The given equation is -

- x - y = 4

x + y = 4

The graph of the given equation will represent a straight line. All the points on the line represent the solution set to the equation.

Therefore, the points on the graph of the equation represent the solution set to the equation.

To solve more questions on functions & expressions, visit the link below

brainly.com/question/17613163

#SPJ9

{Question in english -

How can i solve this?

- x - y = 4}

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

hope it helps!:)

To get the total number of different ways, multiply 1,536 x 18 = 7,344.

7,344 different ways. Raven has 19 choices for drinks, 12 choices for appetizers, and 8 choices for desserts. The formula for calculating the number of different ways is 19 x 12 x 8 = 1,536. Since Raven needs to pick 3 drinks, 3 appetizers, and 2 desserts, the formula is 3 x 3 x 2 = 18. To get the total number of different ways, multiply 1,536 x 18 = 7,344.

The formula can be used to calculate the number of different ways to combine any number of choices. For example, if Raven had 24 choices for drinks, 15 choices for appetizers, and 7 choices for desserts, the formula would become 24 x 15 x 7 = 3,240. If Raven still had to pick 3 drinks, 3 appetizers, and 2 desserts, the total would be 3 x 3 x 2 = 18. Multiplying 3,240 x 18 = 57,720 different ways.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Option B. Bob continues his research because even though there is no linear relationship here, there could be a different relationship.

A correlation coefficient of 0.05 indicates a very weak linear relationship between the number of bedrooms in a home and its selling price. In other words, the number of bedrooms in a home does not seem to be a strong predictor of its selling price based on the data that Bob has analyzed. However, this does not mean that there is no relationship at all between these two variables. There could be a different type of relationship, such as a non-linear relationship, that is not captured by the linear correlation coefficient. It's possible that Bob will need to use other techniques, such as regression analysis, to better understand the relationship between the number of bedrooms in a home and its selling price.

To learn more about linear relationship please click on below link.

https://brainly.com/question/29149362

#SPJ4

The number of student that pass mathematics is 52.

There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects. Therefore, the number of student that passes maths can be solved as follows:

U  = 100

n(S) = 68

n(M n S) = 32

n(M U S)' = 12

Let

x = number of student that pass maths

Therefore,

100 = 68 + x - 32 + 12

100 - 68 + 32 - 12 = x

x = 52

Therefore,

number of student that pass maths = 52

learn more on set theory here: https://brainly.com/question/30613029

#SPJ1