A bag contains five red marbles, two orange marbles ,one yellow marble , and two green marbales. Two marbles are drawn from the bag. What is the approximate probability of choosing an orange marble and green marble?

Answer:

needs a image not much information working with

Answer:

9

Step-by-step explanation:

9, 18, 12, 9, 13, 22, 8, 23, 16, 17

Mode is the number that appears most often

Listing numbers in order from smallest to largest helps to see how many of each number

8,9,9,  12, 13,16,17 ,18, 22, 23,

We see the number 9 appears most often

Answer:

( if given triangle is equilateral triangle)

Hope this will help you.

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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It takes 3.6 hours for Emily and her apprentice to build a wall together and Emily completes 1/6 of the job in one hour.

As Emily can build a wall in 6 hours and her apprentice can do the job in 9 hours; therefore

Emily = 1/6 of the job per hour and,

Her apprentice = 1/9 of the job per hour

Now we can calculate the time it takes them to build a wall together by adding the fractions as follows;

1 / 6 + 1 / 9 = 3 / 18 + 2 / 18 = 3+2 / 18 = 5 / 18 of the job per hour;

Therefore the time to build a wall is calculated as follows;

5 / 18 of the job per hour = 18 / 5 hours to complete the job

18 / 5 = 3.6 hours

Hence it took them 3.6 hours to build a wall together.

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The condition that ensures a solution for the mentioned equation is :

1. b₂ = 2b₁ and 6b₁-3b₃ +b₄ = 0.

In mathematics, an equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. An equation consists of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Usually the right side of the equation is assumed to be zero. If this is accepted, it does not reduce the generality, since it can be done by subtracting the right side from the two sides.

According to the Question:

Given that:

x₁+ 2x₂= b₁       ------------------------- (1)

2x₁ + 4x₂ = b₂  ------------------------- (2)

3x₁ + 7x₂ = b₃   ------------------------ (3)

3x₁ + 9x₂ = b₄   ------------------------ (4)

From equation (1) and (2), we get:

b₂ = 2b₁

After analysis equation (1), we have:

   6b₁-3b₃ +b₄ = 0

Using equation (1), (3) and (4), we get:

3(x₁+2x₂) -6(3x₁+7x₂) + 3x₁ + 9x₂ ≠ 0

Putting the value from equation (1),(3) and (4), we get:

6(x₁+2x₂) -3(3x₁+7x₂) + 3x₁ + 9x₂ = 0

Hence option (1) is correct.

Complete Question:

Consider the following system of linear equations:

x₁+ 2x₂= b₁

2x₁ + 4x₂ = b₂

3x₁ + 7x₂ = b₃

3x₁ + 9x₂ = b₄

which one of the following conditions ensures that a solution exists for the above system.

1. b₂ = 2b₁ and 6b₁-3b₃ +b₄ = 0

2. b₃ = 2b₁ and 6b₁-3b₃ +b₄ = 0

3. b₂ = 2b₁ and 3b₁-6b₃ +b₄ = 0

4. b₃ = 2b₁ and 3b₁-6b₃ +b₄ = 0

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Answer:

(2 - π) units per second.

Step-by-step explanation:

Connected rates of change are when two or more variables are related, and the rates of change of these variables are connected or dependent on each other. This means that the change in one variable affects the change in another variable.

To find the rate of change of y (with respect to time, t), we need to find the equation for dy/dt. To do this, find dy/dx and dx/dt, and multiply them together.

To find dy/dx, differentiate y with respect to x using the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $y=\dfrac{u}{v}$ then:\\\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{v \dfrac{\text{d}u}{\text{d}x}-u\dfrac{\text{d}v}{\text{d}x}}{v^2}$\\\end{minipage}}\)

\(\textsf{Given:} \quad y=\dfrac{x}{\tan x}\)

\(\textsf{Let}\;u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)

\(\textsf{Let}\;v=\tan x \implies \dfrac{\text{d}v}{\text{d}x}=\sec^2x\)

Therefore:

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x \cdot 1 - x \cdot \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x - x \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x}{\tan^2x} - \dfrac{x \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{1}{\tan x} - \dfrac{x }{\sin^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\cot x- x \csc^2x\)

Given x is increasing at the rate of 2 units per second:

\(\dfrac{\text{d}x}{\text{d}t}=2\)

Now we have dy/dx and dx/dt, we can multiply them to get dy/dt:

\(\dfrac{\text{d}y}{\text{d}t}=\dfrac{\text{d}y}{\text{d}x} \times \dfrac{\text{d}x}{\text{d}t}\)

\(\dfrac{\text{d}y}{\text{d}t}=(\cot x- x \csc^2x) \times 2\)

\(\dfrac{\text{d}y}{\text{d}t}=2\cot x- 2x \csc^2x\)

To find the rate of increase of y when x is π/4, substitute x = π/4 into dy/dt:

\(\dfrac{\text{d}y}{\text{d}t}=2\cot \left(\dfrac{\pi}{4}\right)- 2\left(\dfrac{\pi}{4}\right) \left(\csc\left(\dfrac{\pi}{4}\right)\right)^2\)

\(\dfrac{\text{d}y}{\text{d}t}=2(1)- \left(\dfrac{\pi}{2}\right) \left(\sqrt{2}\right)^2\)

\(\dfrac{\text{d}y}{\text{d}t}=2- \left(\dfrac{\pi}{2}\right) \left(2\right)\)

\(\dfrac{\text{d}y}{\text{d}t}=2- \pi\)

Therefore, the rate of increase of y when x is π/4 is (2 - π) units per second.

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Answer:

14 ft

Step-by-step explanation:

area = length * width

140 sq ft = 10 ft * width

width = (140 sq ft)/(10 ft)

width = 14 ft

Answer:

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

y=5/4sin x + 1

:

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Answer:

please be more specific

Step-by-step explanation:

none

Answer:

they are skewed i believe

Answer:

parallel

Step-by-step explanation:

they are parallel because AB and DE match with each other in a parallel form

A light bulb manufacturer wants to advertise the average life of its light bulbs so it tests a subset of light bulbs. This is an example of inferential statistics.

The statement is true.

Inferential statistics is referred to that field of statistics which uses analytical tools to draw conclusions about a population by examining (or, surveying) random samples (taken from the population).

Inferential statistics generalizes the observations derived from the sample as the observations from the population.

Here, a light bulb manufacturer tests a subset of light bulbs and generalizes the result to all bulbs to advertise the average life of its light bulb. Thus, it is an example of inferential statistics.

Therefore, the given statement is true.

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Answer:

All the points change, there are no invariant points

Step-by-step explanation:

The given parameters are

To translate the square OABC by the vector  \(\dbinom{1}{3}\), we have;

The coordinates of the point O is (0, 0)

The coordinates of the point A is (3, 0)

The coordinates of the point B is (3, 3)

The coordinates of the point C is (0. 3)

The translation is by moving 1 step right and three steps up to give;

O' is (0+1, 0+3) which is (1, 3)

A' is (3+1, 0+3) which is (4, 3)

B' is (3+1, 3+3) which gives (4, 6)

C' is (0+1, 3+3) which gives (1, 6)

As all the points change, there are no invariant points and the number of invariant points is zero.

the answer is A. it is asking for the incorrect answer therefor all are correct except A.

Answer:

A got it right

Step-by-step explanation:

Answer: 7 Pack

Step-by-step explanation: Divide each price by the number of shirts :)

Answer:  99-99=0

Step-by-step explanation:

   432,234   432-234=  

   198,891   891-198 =693

   693,396   693-396 =297

   297,792   792-297= 495

   495,594   594-495=99

   99-99=0

The mean of the boat lengths in the marina is 27.85. The median, which represents the middle value in the dataset, is 27. The mode, or the value(s) that appear most frequently, is 25 and 27, both occurring three times each.

a. To calculate the mean using Python, we can sum up all the boat lengths and divide it by the total number of lengths. In this case, the sum of all the lengths is 695. Dividing it by the number of lengths, which is 25, we get the mean as 27.8. Rounded to two decimal places, the mean is 27.85.

b. To find the median, we need to determine the middle value in the dataset. Since the number of lengths is odd, we can directly identify the median as the 13th value in the ordered list, which is 27. Thus, the median is 27.

c. To identify the mode, we observe that the values 25 and 27 appear most frequently, each occurring three times. These values have the highest counts of occurrences, making them the mode of the dataset.

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Step-by-step explanation:

make eqn for both

4x-3y=22 epuation first

x-5y=15

use elimating method

4x-3y=22

4x-20y=56

from here the value of y will come -1.39

put the value of y in epn 2

the ans if x is -7.04

The probability of finding the first applicant with advanced training in programming on the fifth interview is approximately 0.072.

To solve this problem, we can use the geometric distribution, which models the probability of a certain event (in this case, finding an applicant with advanced training in programming) occurring for the first time after a certain number of trials (in this case, interviews).
The probability of finding an applicant with advanced training in programming on any given interview is 0.3, since 30% of the applicants possess this qualification. Therefore, the probability of not finding an applicant with advanced training in programming on any given interview is 0.7.
To find the probability that the first applicant with advanced training in programming is found on the fifth interview, we need to calculate the probability of not finding any such applicant on the first four interviews (which is (0.7)^4) and then finding one on the fifth interview (which is 0.3).
Therefore, the probability that the first applicant with advanced training in programming is found on the fifth interview is:
(0.7)^4 * 0.3 = 0.07203 (rounded to five decimal places)
So the answer is that the probability of finding the first applicant with advanced training in programming on the fifth interview is approximately 0.072.

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A number cube has six numbers, from 1 to 6, with one number on each face.

Since the number cube is fair, the probability of each number being rolled is the same.

So, to find the probability of one specific number being rolled, we just need to divide 1 by the total amount of numbers:

The probability of rolling a 2 is the same as rolling any other number, therefore the probability is 1/6.

Answer:

2.38

Step-by-step explanation:

1.40 / 2.5 = 0.56

0.56*4.25 = 2.38

No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

It is a branch of mathematics that deals with the occurrence of a random event.

A representative sample has to be in proportion, and the diagram shows that the greater part is not represented in proportion. Because it is not represented in proportion, it is not a representative sample.

No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Hence, No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

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1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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The probability that the person uses exactly one of the facilities is 0.8.

Given that, there are 120 people in a sport center.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Now, the person uses exactly one of the facilities

= 78+46+41-(21+16+24+9)

= 165-70

= 95

So, probability =95/120

= 0.8

Therefore, the probability that the person uses exactly one of the facilities is 0.8.

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Answer; X=14

Step-by-step explanation:

14 - 6 = 8 and 8+4 =12

CYA BESTIE!

Answer:

b = 4

Step-by-step explanation:

5b + 1 = 21

5b = 20

b = 4

Answer:

b= 4

Step-by-step explanation:

On order to get the answer of b first you need to 'undo' the equation.

1.First start by multiply both sides of the equation by 3. (you need to do this to cancel out the denominator of 3)

Now the equation should read 5b+1= 21.

2. Subtract 1 from each side of the equation. You need to get b and its coefficient alone on one side of the equation. The equation should now read 5b= 20

3. Divide both sides by 5. You now need to get b alone so you can figure out its value, you do this be getting rid of the coefficient.

4. You are left with b=4

5. Check your answer. 4x5=20   20+1= 21  21/3=7

Hope this helps <3

Given:

There are given that candy that sells for $4.25 per lb that mixed with candy that sells for $2.75 per lb.

Explanation:

Let pounds of candy be x = 4.25 and mixed candy be y = 2.75.

Then,

We need to set the equations:

So,

Now,

Multiply 2.75 with the equation (1) and subtract equation (1) from equation (2):

So,

Then,

Subtract equation (1) from the equation (2):

So,

Final answer:

Hence, the answer is 8 lb.

Answer:

rounded to the nearest tenth is 0.4