HOW DO YOU SEE IT? You randomly select two marbles from a bag, one at a time. The sample space is shown, with each first selection on the left. What is the probability that you select a red marble second, given that you randomly selected a blue marble first? Write your first answer as a simplified fraction. Round your percent answer to the tenths place.

Answer:

To calculate the final price of the box of copy paper with a 4% markup, we can use the following formula:

final price = original price + (original price * markup percentage)

Plugging in the given values, we get:

final price = 25 + (25 * 4%) = 25 + (25 * 0.04) = 25 + 1 = $26

Therefore, the final price of the box of copy paper with a 4% markup is $26.

Step-by-step explanation:

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

$160

Step-by-step explanation:

P = 15h + c

takes 8 hours and $40 in materials

P = 15(8) + 40

P = 120 + 40

P = 160

Answer:

160

Step-by-step explanation:

PEMDAS 15(8) + 40 = 160

Answer:

-17 1/8

Step-by-step explanation:

Since there is a negative, we put a negative in front, and 125 divided by 1000 is 1/8.

The amount of money in account A is decreasing by approximately 8% per year.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 9,628(0.92)ˣ

The function for account A is given as f(x) = 9,628(0.92)^x.

To determine if the amount of money in account A is increasing or decreasing, we can examine the value of (0.92)^x. As x increases, (0.92)^x becomes smaller and smaller, approaching zero.

This means that the amount of money in account A is decreasing over time.

To find the percentage decrease per year, we can calculate the difference between f(x) and f(x+1) and divide by f(x), then multiply by 100:

[f(x) - f(x+1)] / f(x) * 100 = [9628(0.92)^x - 9628(0.92)^(x+1)] / 9628(0.92)ˣ * 100

= (9628(0.92ˣ)[1 - 0.92] / 9628(0.92)ˣ * 100

= 8%

Therefore, the amount of money in account A is decreasing by approximately 8% per year.

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Answer:

substitute y = 4 into the expression⇒(2×4)+3=8+3=11

Step-by-step explanation:

The width of the border if the area of the border is the same as the area of the garden is 1 meter

Given that

Dimensions = 4 meters by 6 meters

Let's start by finding the area of the garden:

Area of the garden = length × width

Area = 6m × 4m

Area = 24 square meters

Assumeing that the width of the border is x meters.

This means that the new dimensions are 6 + 2x and 4 + 2x

So, the area of the border is

Border = (6+2x) × (4+2x) - 24

This area is equal to the area od the garden

So, we have

(6+2x) × (4+2x) - 24 = 24

Evaluate

(6+2x) × (4+2x) - 48 = 0

Using a graphing tool, we have

x = 1

Hence, the width is 6 meters

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Answer:

Step-by-step explanation:

what is it that makes this seem difficult?

90° the hands make a right angle?  correct?

30° the hands are close together

60° the hands are farther than 30 but closer than 90

150 ° the hands are farthest apart

Answer:

45 bags

Step-by-step explanation:

Answer:

the answer is 45 bags

Step-by-step explanation:

840 divided by 19 is 44 r 4

9514 1404 393

Answer:

  g(x) = 2x

Step-by-step explanation:

Replace x in the given function with x+3.

  g((x+3) -3) = 2(x+3) -6

  g(x) = 2x +6 -6

  g(x) = 2x

It is important to note the type of distribution of such sampling.

To choose a candy, it can either be 'orange' or 'not orange'.

The sample size of 100 is large enough. Hence, the sampling describes Binomial Distribution.

The mean and standard deviation of a Binomial Distribution, respectively is given as:

Where,

0. n= number of trials or samples

1. p=probability of success (orange candies)

As given in the sample, n=100, p=10% or 0.1

Substitute into the formula given:

Hence, the mean is 10 and the standard deviation is 3.

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula \(n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}\), equivalent to the recurrence formula \(a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}\).

A sequence is a set of elements which observes at least a defined rule. In this question we see a sequence which follows this rule:

\(n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}\)      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The missing pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula \(n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}\), equivalent to the recurrence formula \(a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}\).

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

2.700 × 10-7

Step-by-step explanation:

Answer:  2.7*10^-4

step by step explanation:

1. Make the number a new number between 1 and 10

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Move the decimal point to make 0.00027 a new number between 1 and 10. Because our original number is less than one, we move the decimal point to the right. Drop any zeroes in front of the number. Keep track of how many times we move the decimal point.

0.00027 -> 2.7

Our new number is 2.7. We moved the decimal point 4 times.

2. Define the power of 10

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Because our original number was less than one, the exponent defining the power of 10 is negative. Remember, we moved the decimal point 4 times, so the exponent is negative 4

10^(-4)

3. Final result

2.7*10^(-4)

Answer:

For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:

4 - x ≥ 0

Solving for x, we get:

x ≤ 4

So the domain of the function is all real numbers less than or equal to 4.

For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).

Step-by-step explanation:

Answer:

I believe once it saw the cast iron skillet's beauty, it melted.

Step-by-step explanation:

No clue just that was the first thing in me mind.

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Answer:

300000

Step-by-step explanation:

hope this helps

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

54

Step-by-step explanation:

92 (how much his sister has) - 38 (how much he has) = 54 (how much more money his sister has then him)

Answer: His sister had 54 more dollars than him.

Step-by-step explanation: 92 (sister's amount) -38 (Bobby's amount) = 54 (total difference).

The values on the number line increases as we move towards the right. Looking at the number line,

Point P comes before point S. This means that the value of point P is lesser than that of point S. The first statement is wrong

Point S comes after point Q. This means that the value of point S is greater than that of point Q. The first statement is wrong

Point S comes after point R. This means that the value of point S is greater than that of point R. The first statement is true

Point Q comes after point P. This means that the value of point Q is greater than that of point P. The first statement is false

The odds of randomly choosing one of 11 students out of 29 is 11/29 or ~38%