Ask question

Ask question

All categories

4 years ago

15

Your mid-morning break begins at 9:45 A.M. and lasts for 10 minutes. You work 2 hours and 10 minutes until your lunch break. Wha

t time does your lunch break begin? ___:___ __M

2 answers:

Serjik [45]4 years ago

8 0

Answer:

12:05PM

Step-by-step explanation:

Karolina [17]4 years ago

5 0

The answer to your question is 12:05 PM. God Bless!

You might be interested in

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large compa

Vinil7 [7]

Answer:

a) The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

b) The expected value is 30 and the standard deviation is 5.31.

c) Close to 0% probability that none of the 500 employees has a food allergy

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have food allergy, or they do not. The probability of an adult having allergy is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

6% of American adults have a food allergy

This means that $p = 0.06$

500 employees.

This means that $n = 500$

(a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?

The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

(b) What are the expected value and standard deviation of X (i.e., of the population)?

$E(X) = np = 500*0.06 = 30$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.06*0.94} = 5.31$

The expected value is 30 and the standard deviation is 5.31.

(c) What is the probability that none of the 500 employees has a food allergy?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{500,0}.(0.06)^{0}.(0.94)^{500} \cong 0$

Close to 0% probability that none of the 500 employees has a food allergy

4 0

3 years ago

Please Help<br><br> What is the fraction -118.8/2 converted to a decimal?

AleksAgata [21]

I think it would be -59.4

7 0

4 years ago

Read 2 more answers

I need help with this math problem.

mel-nik [20]

Answer:

X= 12

Y=-3

Step-by-step explanation:

5 0

3 years ago

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45

sasho [114]

The speed is the distance covered by an object at a particular time. The time it will take for the train to pass the jogger is 36 seconds.

<h3>What is speed?</h3>

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

$\rm{Speed = \dfrac{Distance}{Time}$

The speed of the train and the man can be written as,

Speed of the train = 45kmph = 45×(5/18) = 12.5mps
Speed of the man = 9kmph = 9×(5/18) = 2.5mps

Now, the time it will take for the train to completely pass the man is,

Relative speed = Distance / Time

(12.5 - 2.5) = (240 + 120)/ Time

10 = 360/Time

Time = 360/10

Time = 36 seconds

Hence, the time it will take for the train to pass the jogger is 36 seconds.

Learn more about Speed here:

brainly.com/question/15100898

#SPJ4

5 0

2 years ago

Robert made a large pancake that weighed 3/4 pound. He ate 7/16 pound of pancake. What fraction of the whole pancake did he eat?

olga_2 [115]

Answer:

7/4

Step-by-step explanation:

the question already mentioned that he ate 7/4 pound of the pancake

5 0

3 years ago