If I roll 5 standard 6-sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?

Answers

Answer 1

The probability that the product of the numbers on the dice is a composite number is about 0.9375.

What is the probability that the result is a composite number?

To find the probability that the product of the numbers on the dice is composite, we can first find the total number of possible outcomes, and then subtract the number of outcomes that result in a prime product.

Each die has six possible outcomes, so the total number of possible outcomes when rolling 5 dice is 6^5 = 7,776.

To find the number of outcomes that result in a prime product, we can count the number of outcomes where the product is a prime number, and then subtract this from the total number of outcomes.

The only way for the product of the 5 dice to be a prime number is if all the numbers on the dice are 1 or a prime number, namely 2, 3 or 5.

The number of outcomes where all 5 dice show 1 is 1, so we just need to count the number of outcomes where all 5 dice show 2, 3, or 5.

There is only 1 way to get a product of 2^5 = 32, namely by rolling all 2's.

There are 3^5 - 3 ways to get a product of 3^5 = 243, namely by rolling all 3's, all 2's except one 3, all 2's except two 3's, or one 3 and two 2's.

There are 2^5 - 2 ways to get a product of 5^5 = 3125, namely by rolling all 5's or all 2's except one 5.

Therefore, the total number of outcomes where the product is prime is 1 + (3^5 - 3) + (2^5 - 2) = 253.

Therefore, the number of outcomes where the product is composite is 7,776 - 253 = 7,523.

The probability of getting a composite product is therefore 7,523/7,776, which simplifies to 961/1024, or approximately 0.9375.

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Answer 2
The probability would be 0.9375

Related Questions

What do we call a "grapefruit" in the Gujarati language? Don´t answer if you don´t pleased

Answers

Answer:

In Gujarati language, we call it  draksh.

Answer:

a draksh

Explanation:

I'm looking for some help. Please do some research, or ask a doctor or school nurse.
Do I have asthma?
My symptoms:
- Lightheaded after minor exercise (running)
- Upset stomach
- Tight chest
- Shortness of breath

Answers

You should be going to the doctors for that, although it’s not emergent. I don’t think an upset stomach is a symptom of asthma, but a symptom of anxiety which is common with asthma. Other than that, I think it could possibly be asthma. I don’t know if you have other symptoms or the severity of those listed.
possibly, those are all symptoms. my sister had those symptoms, she went to the doctor and she had asthma. definitely go get checked

Segments or sections of coiled DNA found in the cell that provide instructions for making specific characteristics are known as:

Segments or sections of coiled DNA found in the cell that provide instructions for making specific characteristics

Answers

Answer-genes
Explanation- I leaned this in science and I got them all right but genes are really known for doing that(sorry if it’s confusing)

Answer:

The most important function of chromosomes is to carry genes—the functional units of heredity. A gene is usually defined as a segment of DNA that contains the instructions for making a particular protein (or a set of closely related proteins).

Explanation:

who knows why we have white blood cells?

Answers

Answer:

White blood cells are part of the body's immune system. They help the body fight infection and other diseases.

The white cells help fight infection. They attack bacteria, viruses, and all the other bad things we can get. While red blood cells are for transporting oxygen.

Can someone help me plz

Can someone help me plz

Answers

Answer:

Explanation:

frequency- i exercise twice a month

intensity - i can run 6km non stop

time - it takes 1 hour

type

frequency i exersize 2x a month
intensity i can run 6km not stopping
time it will take an hour
type

Is treatment for Bulimia nervosa and/or Anorexia Nervosa simply nutritional, or is there more involved? If so, what?

Answers

Treatment for bulimia nervosa and anorexia nervosa typically involves a multi-disciplinary approach that goes beyond just nutritional interventions. While nutrition is an important aspect of treatment, there are several other components involved.

The treatment of anorexia nervosa usually includes medical stabilization, nutritional rehabilitation, and psychotherapy. The medical stabilization involves addressing any medical complications that may have arisen due to the eating disorder, such as electrolyte imbalances, heart irregularities, and dehydration. Nutritional rehabilitation is aimed at restoring the individual to a healthy weight through careful monitoring of their caloric intake, and may involve working with a registered dietitian to develop a meal plan that meets their nutritional needs.

Psychotherapy is a critical component of treatment for both anorexia nervosa and bulimia nervosa. Cognitive behavioral therapy (CBT) is the most commonly used form of psychotherapy and has been shown to be effective in treating eating disorders. CBT can help individuals to identify and challenge the thoughts and beliefs that contribute to their disordered eating behaviors, as well as develop coping skills to manage triggers and stressful situations.

Other types of psychotherapy that may be used in the treatment of eating disorders include family-based therapy (FBT), which involves working with the family to support the individual in their recovery, and interpersonal therapy (IPT), which focuses on improving relationships and communication skills.

In some cases, medications may also be used to treat eating disorders. Antidepressants, in particular, have been shown to be effective in treating both anorexia nervosa and bulimia nervosa, particularly when used in conjunction with psychotherapy.

In summary, while nutritional interventions are important in the treatment of eating disorders, they are just one component of a comprehensive approach that also includes medical management, psychotherapy, and potentially medication.

Learn more about CBT:

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Answer:

Treatment for bulimia nervosa and anorexia nervosa typically involves a multi-disciplinary approach that goes beyond just nutritional interventions. While nutrition is an important aspect of treatment, there are several other components involved.

The treatment of anorexia nervosa usually includes medical stabilization, nutritional rehabilitation, and psychotherapy. The medical stabilization involves addressing any medical complications that may have arisen due to the eating disorder, such as electrolyte imbalances, heart irregularities, and dehydration. Nutritional rehabilitation is aimed at restoring the individual to a healthy weight through careful monitoring of their caloric intake, and may involve working with a registered dietitian to develop a meal plan that meets their nutritional needs.

Psychotherapy is a critical component of treatment for both anorexia nervosa and bulimia nervosa. Cognitive behavioral therapy (CBT) is the most commonly used form of psychotherapy and has been shown to be effective in treating eating disorders. CBT can help individuals to identify and challenge the thoughts and beliefs that contribute to their disordered eating behaviors, as well as develop coping skills to manage triggers and stressful situations.

Other types of psychotherapy that may be used in the treatment of eating disorders include family-based therapy (FBT), which involves working with the family to support the individual in their recovery, and interpersonal therapy (IPT), which focuses on improving relationships and communication skills.

In some cases, medications may also be used to treat eating disorders. Antidepressants, in particular, have been shown to be effective in treating both anorexia nervosa and bulimia nervosa, particularly when used in conjunction with psychotherapy.

In summary, while nutritional interventions are important in the treatment of eating disorders, they are just one component of a comprehensive approach that also includes medical management, psychotherapy, and potentially medication.


Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Hope my answer helps you.

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I spent 1.5 hrs typing this whole paragraph.

Can you be my friend!!! Plsssssssssss

Which term is used for the condition in which the body's internal temperature is too high?


hypothermia


hyperthermia


hypothyroidism


hypoglycemia

Answers

Answer:

Which term is used for the condition in which the body's internal temperature is too high?

Hyperthermia

**********************

Hypothermia occurs as your body temperature falls below 95 F.

**********************

Hypoglycemia is a condition in which your blood sugar level is lower than normal.

**********************

Hypothyroidism is a condition in which the thyroid gland doesn't produce enough thyroid hormone.

Hope this helps!! :)

The answer is the first one hypothermia

The sentence below from the section "2. So Does Your Heart" helps prove the claim that changes in gravity dramatically affect the cardiovascular system over time.

Without gravity, however, the heart and blood vessels change – and the longer the flight, the more severe the changes.

Which sentence from the article provides further support for the claim?

The sentence below from the section "2. So Does Your Heart" helps prove the claim that changes in gravity

Answers

I know what you said you do not
A helps support the claim best

what are the main differences between meiosis and mitosis.

Answers

Answer:

Meiosis is required for genetic variation and continuity of all living organisms. Mitosis, on the other hand, is focused on the growth and developments of cells.

Explanation:

Answer:

Cells divide and reproduce in two ways mitosis and meiosis. Mitosis results in two identical daughter cells, where meiosis results in four sex cells

can pets get coronavirus, can they sense coronavirus explain

Answers

Answer:

Animals don't appear to play a significant role in spreading the virus that causes CO.VID-19 . There is no evidence that viruses can spread to people or other animals from a pet's skin, fur or hair.

Explanation:

but to me i think cov.id-19 came from animals in china and i believe pets can sense anything

Pets probably won’t be able to spread coronavirus easily but they might be able to sense it. Pets like dogs are able to sense more things than we even realize

write a least two sentences about your experience with the workout
speed feet

jog-in-place

marching steps

windmills

Answers

Can't answer this because it needs to be your experience.

I don’t know how to explain it sorry

What is a benefit of living in a mixed-use development over a suburb

Answers

Answer:

The creation of better spaces, more affordable, and safer neighborhoods that are accessible on foot is made possible by the establishment of mixed-use developments. Green space creation or preservation is favored by reducing urban use areas. They use less energy and produce fewer emissions.

Explanation:

Hope you found this answer helpful!

Answer:

It is cheaper safer with accesability of foot trafic

Why do i get upset when someone spills their emotions with me?.

Answers

you get upset either thinking of their emotions or thinking how you can't spill your emotions with anyone .

Maybe your not in the right head place to receive it and it’s ok you can’t help others if your broken.

What should you do if you find a bulging or damaged can in the pantry?​

Answers

Bulging and/or leaking cans can be caused by freezing, improper storage, overfilling of the can during processing, denting or contamination by spoilage bacteria. Since the cause of the bulging or leaking can is unknown those cans must be discarded.

Answer:

Discard the cans.

Explanation:

You must discard the cans if you can lay your finger in the dent, that's too deep. It's better to be safe and discard or return the can. Swollen cans often indicate a spoiled product. During spoilage, cans may progress from normal to flipper, to springer, to soft swell, to hard swell. However, spoilage is not the only cause of abnormal cans. Overfilling, buckling, denting, or closing while cool may also be responsible.

It can cause difficulty breathing, muscle paralysis, and even death. The toxin is made most often by Clostridium botulinum bacteria. Improperly canned, preserved, or fermented foods can provide the right conditions for the bacteria to make the toxin.

Compute the total number of calories that you consumed on each of the five days. Record the five totals in the table below. Also enter your daily calorie limit from calorie tracker in the box provided.

Compute the total number of calories that you consumed on each of the five days. Record the five totals

Answers

Answer: around 2000

Explanation:

1500-2000 cal a day. Depends on age and metabolism.

After being diagnosed with poliovirus, Dani experienced paresthesia. Which complaint MOST likely accompanied this specific symptom?
A ~ I cannot move my legs.
B ~ I cannot feel anything in my legs.
C ~ I feel pins and needles in my legs.
D ~ I feel extreme heat in my legs.
I will give brainliest to the first person to answer!

Answers

Answer:

C i think so tbh im not sure is it C or B but ill go with C !

The answer will be C diagnosed means pin and needles:)

ical thinking. What are antibiotics? For what communicable diseases are antibiotics most effective?
Answer: Antibiotics are ______________. Antibiotics are most effective for ________________. (Pg. 376)

Answers

Answer: Antibiotics are medicines. Antibiotics are most effective for bacterial infection.

Answer:

An antibiotic is a type of antimicrobial substance active against bacteria. It is the most important type of antibacterial agent for fighting bacterial infections, and antibiotic medications are widely used in the treatment and prevention of such infections. They may either kill or inhibit the growth of bacteria.

Explanation:

Antibiotics do not help fight viruses — they only cure bacterial infections, such as strep throat or whooping cough. Using antibiotics to treat a virus may actually do more harm than good.

Write one paragraph on something that has recently made you happy (also I'm in Grade 8 so I would really like it if you could write a paragraph about something an eighth grader would write about).

Answers

Answer:

My Vacation to the mountains

Explanation:

Many of the young ones of today's era undergo a serious amount of stress and anxiety which really upsets them. As one of them, I too was struggling to get balance with my mental and physical well-being. Observing my condition, my loving parents decided to take me on a break from the outside world. we went on a vacation...to the mountains! the area was completely isolated and beautiful. birds, animals, trees; everything was just so aligned with what was in my head. the little break consisted of a jolly little swim in an ice-cold river too. We went to small villages, exploring the people and their lifestyles. we tried to get along with a few cultures too which in my perspective, was successful. This small trip lasting for only 3-4 weeks made-up my whole year and it is the one thing that recently made me happier than ever.

Answer: So, my mom knows that I am enthusiastic about my games, so she surprised me with A gaming setup. I was really happy!! I told every single one of my friends and they were happy for me. The LED lights on my keyboard made it look cool!! I downloaded this new game that I wanted to try out. Its called Diablo IV, It's A bit of A scary game, but it's so cool!! I also watched A scary movie with my friends on Discord eating Popcorn. I really wanted to watch Megan, but I had to buy it, and I really did not feel like paying for anything else!! This made me really happy and  I gave thanks to my mom and as you know me and my friends celebrated with popcorn and scary movies.

Explanation: This is All have due to me being an 8th grader too.

Which is a non-infectious disease?

Which is a non-infectious disease?

Answers

Answer:

diabetes

Explanation:

People usually get diabetes due to blood sugar or genes.

Diabetes is one of the four major types of noncommunicable diseases (cardiovascular disease, diabetes, cancer and chronic respiratory diseases). It is a chronic condition that occurs when the body either does not produce enough insulin or cannot effectively use the insulin it does produce. It is a non infectious disease because you get it from genes or from high blood sugar.

Does this country use visual to show the portions or how much of each food group one should be eating? Is the visual representation easy to understand

Answers

the food pyramid helps, the higher on the pyramid the less of it you need
Higher the less it is

-- Please Help!! ♥️♥️ --

The media through television, movies, and the Internet can affect a person's body image. Can books also contribute to this problem? Why or why not?

Answers

Yes cause you can also read about how people look and feel like your not good enough
Yes because they can watch other or read about others and view about they fit the beauty standards and then try and make there self fit the beauty standards maybe making them selves sick and not healthy.

Which of the following describes an outcome variable (dependent variable)?


A. the item or subject that the experiment is conducted on

B. a variable that changes in an experiment due to another factor

C. the variable that the experimenter is changing

D. any condition or event that could affect the outcome of an experiment

Answers

I’m pretty sure it’s B. A variable that changes in an experiment due to another factor. Please let me know if you get it right or not!
The answer should be B

You have a question about your health and when you should go to a doctor. Which site would you not recommend using?

You have a question about your health and when you should go to a doctor. Which site would you not recommend

Answers

Answer:

Explanation:

the first one i hope you found this helpful

The last one. Hope u know y!

Who can I look to for questions about the changes in my body? (name at least 3)


(aka puberty)

Answers

Your mother/father or any older family member of the same sex

A teacher, school nurse

A doctor, nurse
1. A trusted adult.
Your parents.
2. Someone you have a good relationship with.

What are two things that happen when the system does not work well?

Answers

Your immune system may not work as well, you may have poorer blood circulation, or body may have more inflammation. These are just some examples, there’s a lot more though, hope this helped!

Answer:

Sometimes a person’s immune system does not work properly. This can result from immune deficiencies present at birth; medications that suppress the immune system, like steroids; unnecessary or overzealous immune responses, such as allergies; or immune responses to one’s self, called autoimmunity.

Explanation:

What are some ways to help an infection? I think two ways is: keeping it clean, and burning the wound, but how should I know, could anyone help me with this?

Answers

Answer:

Well, there are many ways to help a wound, it just depends on what the wound is.

Explanation:

A good healing product is to put neyo sporen on it and a bandage after, you can also rap it up, another way to heal a wound is yes, to keep it clean and to do so you can have it under raps.

Answer

Explanation:

cleansing the wound and then covering it with a Bandaid of something similar.

and using a cream like Neosporin  will greatly help to keep it clean.

What is a group of cells that uses chemicals to recycle elements in the blood?
O A.
OB.
O c.
D.
muscle
gland
hormone
metabolism’s

Answers

Answer:  The correct answer is B. Glands

Explanation:

The spleen gland has two main types of tissue called red and white pulp. The red pulp's job is to filter worn and damaged red blood cells from the bloodstream and recycle them. The white pulp in the spleen contains B and T lymphocytes.

Answer is B gland
The splam gland have tow types of tissue called red and white pulp

PLEASE HELPPP BRAINLIEST

PLEASE HELPPP BRAINLIEST
PLEASE HELPPP BRAINLIEST

Answers

4.) same genotypes
5.)different genotypes
i agree with the answer above.

help it is for a friend!
is studying different methods of reproduction. He records the differences between asexual and sexual reproduction in his notebook. Drag each phrase into the box with the correct type of reproduction. susceptible to same disease added to Asexual

Answers

Answer: Summary. Reproduction may be asexual when one individual produces genetically identical offspring, or sexual when the genetic material from two individuals is combined to produce genetically diverse offspring. Asexual reproduction occurs through fission, budding, and fragmentation.

Explanation: Hope this help :D

asexual and sexual reproduction or two different things.

Asexual reproduction Involves one parent who produces an offspring genetically identical to each other. It may occur in the process of budding and binary fission such as how starfish or plants reproduce.

sexual reproduction involves sex cells. To produce new organisms, two individuals of different sexes combined genetic information through sexual reproduction. Often involving a female gamete and a male gamete.

Question 3 (1 point)
Storing chemicals in original containers in a locked area and wearing protective equipment when using chemicals can prevent injury.
True
False
Question 4 (1 point)
Putting a fire blanket over flames will remove the heat of a fire, which causes it to stop burning.
True
False
Question 5 (1 point)
Testing smoke detectors monthly and changing smoke detector batteries yearly is important when conducting a fire safety inspection.
True
False
Question 6 (1 point)
Emergency supplies should be stored in a locked cabinet so they are out of children’s reach.
True
False

Answers

Answer: All are true

Explanation: I learned this when I was in HOSA, PE, and Health Class. Trust me

Hope this helps

--Wavey

True false. True false true
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