Let A and B be events with P(A) = 6/15, P(B) = 8/15, and P((A u B)) = 3/15. What is P(An B)? a. O b. O C. O d. 12/ l_15 4 15 315 215

Answers

Answer 1

The probability of the intersection of events A and B, P(A ∩ B), is equal to 11/15. This means that there is a 11/15 probability of both events A and B occurring simultaneously.The correct option is d. 11/15.

To compute the probability of the intersection of events A and B, we use the formula P(A ∩ B) = P(A) + P(B) - P(A ∪ B).

We have:

P(A) = 6/15

P(B) = 8/15

P(A ∪ B) = 3/15

Substituting the values into the formula, we have:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

P(A ∩ B) = 6/15 + 8/15 - 3/15

P(A ∩ B) = 14/15 - 3/15

P(A ∩ B) = 11/15

Therefore, the probability of the intersection of events A and B, P(A ∩ B), is 11/15. The correct option is d. 11/15.

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Related Questions

Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.

Answers

Answer: Answer in picture

Step-by-step explanation:

Math

Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.

Help me with this please

Help me with this please

Answers

The first shape is 6 inches per side. 5 sides x 6 inches. Thats 30 inches in total. Shape two has 6 sides. They're 5 inches. Thats also 30 inches. These shapes are the exact same.

5x6=6x5

Alex paid 108.34 for groceries. Rounded to the nearest dollar, how did alex pay for groceries?​

Answers

108.34 rounded to the nearest dollar is 108

The rounded figure of the amount Alex paid at the groceries shop is $108.

What is rounding a figure?

The process of replacing a number by another number of approximately the same value but having fewer digits is called rounding a figure.

Given that, Alex paid 108.34 for groceries. We need to round it to the nearest dollar,

We know that,

If the first decimal digit is 5 or more, we increase the whole part by one unit. For example, $34.57 rounded to the nearest whole dollar is $35.

If the first decimal digit is less than 5, we leave the whole part as it is. For example, $45.19 rounded to the nearest dollar is $45.

Here, the first decimal point is less than 5, therefore, we will leave the whole part as it is.

Hence, the rounded figure of the amount Alex paid at the groceries shop is $108.

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?2 良区
100%
What is 80, 023 written in scientific notation?
A. 8.0023x103

Answers

Answer:

\(8.0023 \times {10}^{4} \)

Answer:

80,023 is written as 8.0023 × 10 in scientific notation.

Explanation:

To convert any number into scientific notation, you write the non-zero digits, placing a decimal after the first non-zero digit. Then, you count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.

Find the distance between the pair of points.
(2,3) and (6,7)

Answers

Answer:

6.4

Step-by-step explanation:

formula: √(X2-X1)²+(Y2-Y1)²

hope it helps!

Find the distance between the pair of points.(2,3) and (6,7)
The exact form is 4√2 or 5.65685424

Calculate the voltage difference in a circuit with a resistance of 25 ohms if the current is 0. 5 amps

Answers

The voltage difference in this circuit is 12.5 volts.

To calculate the voltage difference in a circuit with a resistance of 25 ohms and a current of 0.5 amps, we can use Ohm's Law, which states that voltage (V) equals current (I) multiplied by resistance (R). Mathematically, this can be expressed as V = IR. Therefore, to find the voltage difference, we can simply substitute the given values into the formula as follows:
V = (0.5 A) x (25 ohms) = 12.5 volts
So, the voltage difference in this circuit would be 12.5 volts. This means that there is a potential difference of 12.5 volts between the two ends of the circuit, which is necessary to drive the flow of current through the resistance of 25 ohms. In general, the higher the resistance of a circuit, the greater the voltage required to maintain a given current, and vice versa.

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Estimate the circumference of the following circles:
d = 10cm
r = 7 cm
d = 15 m

Answers

Answer:

43.98

Step-by-step explanation:

Circumference= 2πr

so it would be 2x3.14x7=43.98

Answer:

1. 31.42cm

2. 43.98cm

3. 47.12cm

Step-by-step explanation:

Multiply the diameter by pi,

Since the radius is just half of the diameter, make it 14 then multiply by pi

Find 4ab when (a+b)=15 and (a-b)=12

Answers

a + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81

Answer:

81

Step-by-step explanation:

here,

(a+b)=15 -------(1)

(a-b)=12 -------(2)

Equating the equation (1) and (2)

a + b = 15

a - b = 12

(b gets cancelled having opposite signs)

or, 2a = 27

or, a = 27÷2

a = 13.5

then, putting value of a in equation (1)

a+b=15

or, 13.5 + b=15

or, b=15-13.5

b=1.5

lastly,

4ab = 4×13.5×1.5

= 81

hope it helps!!

Find the constant rate of change

Find the constant rate of change

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get the slope in any linear relation all we need is two points, let me rewrite this table some  \(\begin{array}{|c|c|ll} \cline{1-2} x(h)&y(c)\\ \cline{1-2} 5&15\\ 8&24\\ 12&36\\ 24&72\\ \cline{1-2} \end{array}\)

so from the table, let's use hmmm (8 , 24) and (24 , 72)

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{24})\qquad (\stackrel{x_2}{24}~,~\stackrel{y_2}{72}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{72}-\stackrel{y1}{24}}}{\underset{run} {\underset{x_2}{24}-\underset{x_1}{8}}}\implies \cfrac{48}{16}\implies 3\)

I need help please it’s one more question and I’m done with it please help me

I need help please its one more question and Im done with it please help me

Answers

Answer:

C

Step-by-step explanation:

If the ratio of people per tower is ~20.83, then multiply that by 624, which equals 13,000.

Complete the proportions in the answer choices to find which one would give you 13,000.

the answer to this one is c

Which inequality is true?
A. 5π > 15
B. π+9<12
C. 6/2m > 1
D. 47-2<10

Which inequality is true?A. 5 &gt; 15B. +9&lt;12C. 6/2m &gt; 1D. 47-2&lt;10

Answers

Answer: A

Step-by-step explanation:

\(\pi > 3 \implies 5\pi > 15\)

schedules the processor in the order in which they are requested. question 25 options: first-come, first-served scheduling round robin scheduling last in first scheduling shortest job first scheduling

Answers

Scheduling the processor in the order in which they are requested is "first-come, first-served scheduling."

The scheduling algorithm that schedules the processor in the order in which they are requested is known as First-Come, First-Served (FCFS) scheduling. In FCFS scheduling, the processes are executed based on the order in which they arrive in the ready queue. The first process that arrives is the first one to be executed, and subsequent processes are executed in the order of their arrival.

FCFS scheduling is simple and easy to understand, as it follows a straightforward approach of serving processes based on their arrival time. However, it has some drawbacks. One major drawback is that it doesn't consider the burst time or execution time of processes. If a long process arrives first, it can block the execution of subsequent shorter processes, leading to increased waiting time for those processes.

Another disadvantage of FCFS scheduling is that it may result in poor average turnaround time, especially if there are large variations in the execution times of different processes. If a long process arrives first, it can cause other shorter processes to wait for an extended period, increasing their turnaround time.

Overall, FCFS scheduling is a simple and fair scheduling algorithm that serves processes in the order of their arrival. However, it may not be the most efficient in terms of turnaround time and resource utilization, especially when there is a mix of short and long processes. Other scheduling algorithms like Round Robin, Last In First Scheduling, or Shortest Job First can provide better performance depending on the specific requirements and characteristics of the processes.

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possesses help its timed will mark brainliest
What is the distance from the origin to point A graphed on the complex plane below?O 5 о O 13 o 9. 13 ​

possesses help its timed will mark brainliestWhat is the distance from the origin to point A graphed

Answers

Answer:

\(\sqrt{13}\)

Step-by-step explanation:

The two points:

(0, 0) and (-3, -2)

The distance:

d = \(\sqrt{(x2- x1)^2 + (y2 - y1)^2 }\)d = \(\sqrt{(-3)^2 + (-2)^2}\) = \(\sqrt{13}\)

i need help somebody please​

i need help somebody please

Answers

Answer:

\(3y + 3y - 12\)

Step-by-step explanation:

This is because if you were to combine like terms, the two beginning values would add up to 6y since adding two y's is just y & 3+3 is 6. & 12 is common sense lol.

Solve for x
In(3x + 2) = 4

Answers

Answer:

2/3 or 0.666

Step-by-step explanation:

3x+2=4

3x=4-2

3x=2

x=2/3

x=0.666

Answer:

\(x=\frac{2}{3}\)

Step-by-step explanation:

\(\left(3x+2\right)=4\)

\(3x+2=4\)

Subtract 2 from both sides:-

\(3x+2-2=4-2\)

\(3x=2\)

Divide both sides by 3:-

\(\frac{3x}{3}=\frac{2}{3}\)

\(x=\frac{2}{3}\)

OAmalOHopeO

George is driving at an average speed of 707070 miles per hour. At this rate, how long, in minutes, will it take him to complete a 400400400-mile road trip

Answers

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours

How long will it take the driver to complete a 400-mile road trip?

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Speed = 70 miles per hourDistance traveled = 400 mileElapsed time = ?

We substitute into our equation above.

Speed = Distance ÷ time

70 miles per hour = 400 mile ÷ Elapsed time

Elapsed time = 400 miles ÷ 70 miles per hour

Elapsed time = 5.7 hours

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.

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Please help thanks

Please help thanks

Answers

Answer:

X= 62°

Step-by-step explanation:

Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.

BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.

2(X -7) +10 word form

Answers

here igy homie pick one both r right
 2(X -7) +10 word form

A production line produces 34 of a mile of yarn every 14 of an hour. What is the unit rate of miles of yarn per hour?

Answers

Is the 34 meant to be three quarters or one 34th of a mile of yarn?
And is the 14 meant to be one quarter or one 14th?
I’ve solved it as three quarters and one quarter but if this is not what you meant then you may have to adjust the anwser

The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.

Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

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1.Make an industry analysis using either PESTEL or Five forces
model.
2. Prepare a strategic group map using updated information. Use
three parameters-for x axis, for y axis and for the diameter of th

Answers

Industry Analysis using five forces model which are Political, Economic, Social, Technological, Environmental, Legal. A strategic group map visually represents the competitive positioning of companies within an industry.

1. Industry Analysis using PESTEL Model:

The PESTEL analysis examines the external factors that impact an industry:

Political: Government regulations, stability, and policies affecting the industry.

Economic: Economic growth, inflation, exchange rates, and consumer purchasing power.

Social: Demographic trends, cultural factors, and consumer behavior.

Technological: Technological advancements, innovation, and automation in the industry.

Environmental: Environmental regulations, sustainability practices, and climate change impact.

Legal: Legal frameworks, industry-specific regulations, and intellectual property protection.

By conducting a PESTEL analysis, one can gain insights into the industry's overall environment, identify opportunities and threats, and understand the factors influencing its growth and competitiveness.

2. Strategic Group Map:

A strategic group map visually represents the competitive positioning of companies within an industry. It uses parameters to plot companies on an x and y axis, and the diameter of the circle represents their market share or another relevant metric.

Parameters for x-axis: Price range (e.g., low to high)

Parameters for y-axis: Product differentiation (e.g., basic to premium)

Diameter of the circle: Market share (e.g., small to large)

By plotting companies based on these parameters, the strategic group map helps identify market segments, competitive dynamics, and potential areas for differentiation or strategic alliances.

3. Reconstructed Vignette 5: Cost of Operation for GP (2019 and 2020):

In 2019, the cost of operation for the GP (General Practitioner) increased due to rising expenses such as rent, salaries, and medical supplies. This was influenced by factors such as inflation and increased demand for healthcare services.

In 2020, the COVID-19 pandemic significantly impacted the cost of operation for GPs. The costs surged due to additional expenses related to personal protective equipment (PPE), sanitation measures, and telehealth infrastructure. Simultaneously, some costs decreased as patient visits reduced temporarily.

The increased costs challenged GPs' profitability, especially for independent practitioners or smaller clinics with limited resources. Adapting to new operational requirements and investing in technology further added to the financial burden.

4. Agreement with the Idea in the Case:

As the case or specific idea isn't provided, it's challenging to agree or disagree without context. Please provide more information or details about the case or idea so that I can offer a justified answer based on logic or data.

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COMPLETE QUESTION - 1.Make an industry analysis using either PESTEL or Five forces model.

2. Prepare a strategic group map using updated information. Use three parameters-for x axis, for y axis and for the diameter of the circle.

3. Reconstruct Vignette 5: Cost of operation for GP. Make it for 2019 and 2020.

4. Do you agree with the idea described in the case? Justify your answer in brief (you may use logic or data in support of your answer).

What’s the domain using inequalities for this graph? I’ll give you brainiest

Whats the domain using inequalities for this graph? Ill give you brainiest

Answers

Answer:

Hi there!

Your answer is:

X is between -4 and +infinity

Step-by-step explanation:

The open circle indicates that it CANNOT be -4, but it has to be greater than it. The arrow indicates that it goes on permanently

Hope this helps

the age of Edna, Ellie, and Elsa are consecutive integers. the sum of their ages is 117 what are their ages?

Answers

Answer:

Their ages are 38,39 and 40.

Step by step explanation:

If they were all the same age, then their ages would be:

\(\frac{117}{3}=39\)

But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.

\(38+39+40=117\)

n × 9 = 0 true? please i will give 25 points?

Answers

Answer:

This can be true if n=0

Step-by-step explanation:

9n = 0

Divide each side by 9

9n/9 = 0/9

n=0

This can be true if n=0

It can be true if n is 0, because everything that u multiple be 0 always be 0

what is the length and width of a basketball court

Answers

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Combine like terms to simplify the expression:

Combine like terms to simplify the expression:

Answers

Answer: k/2 - 3/5

Step-by-step explanation: This is what my calculator came up with.

Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 1/2 points. Each miss is worth −3/4 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?

Answers

Answer: 29.5 points

Why: the missed 14 shots so 14 x 3/4 is 10.5
They made 16 shots so 16 x 2.5 is 40
40-10.5=29.5

Answer:

I did this on a test and got 29.5 points

Step-by-step explanation:

The Bunging Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep t upright, a support cable needs to be atached to
the top of the pole so that the cable forms a 60 angle with the ground. Pls I need help

Answers

Answer:

seven hundred and three

Step-by-step explanation

A baby giraffe is 20 pounds lighter than a baby elephant. The two babies have a combined weight of 110 pounds. How much does each animal weigh

Answers

110/2 = 55
55 + 10 = 65
65 - 20 = 45
(10 + 10 = 20 lbs)
45 + 65 = 110 lbs
So the giraffe is 45 lbs and the baby elephant is 65 lbs

of ch have a coupon. Answer each question our reasoning One buys an item with a normal price of $24), but saves $6 by using a coupon For what percentage off is this coupon? 00 */% 100% 0% 25% 50% 75% 100%​

Answers

The percentage off of the coupon is 25%

How to determine the percentage of the coupon

From the question, we have the following parameters that can be used in our computation:

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

Substitute the known values in the above equation, so, we have the following representation

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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When the weight is greater than 15 pounds, the cost will be greater than $10.

Answers

Answer:

muy bien ami si me funciono la pregunta

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