1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NemiM [27]
3 years ago
12

A company with n employees publishes an internal calendar, where each day lists the employees having a birthday that day. What i

s the probability there is at least one day in a year when nobody has a birthday?
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer: 1-(\frac{364}{365})^n

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_xp^x(1-p)^x, where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.

We assume that the total number of days in a particular year are 365.

Then , the probability for each employee to have birthday on a certain day :

p=\dfrac{1}{365}

Given : The number of employee in the company = n

Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

P(x\geq1)=1-P(x

Hence, the probability there is at least one day in a year when nobody has a birthday =1-(\frac{364}{365})^n

You might be interested in
Which of the following expressions can be used to find the perimeter of a rectangle?
morpeh [17]

Answer:

2l + 2w. l+l+w+w. l+l+2w. 2(l+w)

5 0
3 years ago
Plz help only have 11 mins ​
marin [14]

Answer:

Step-by-step explanation:

18 7/8 - 14 7/9

18 63/72 - 14 56/72

=  4 7/72

answer is B

5 0
3 years ago
The product of 6g2 and -2g3 is equals to​
ryzh [129]

Answer:

We conclude that:

\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5            

Step-by-step explanation:

Given

  • 6g²
  • -2g³

The product of 6g² and -2g³ can be determined by multiplying each other such as:

(6g^2\:)\times \:(-2g^3)

Apply the rule:  a(-b) = -ab

\left(6g^2\:\right)\times \left(-2g^3\right)=-6g^2\times \:\:2g^3

Apply exponent rule:   a^b\times \:a^c=a^{b+c}

                          =-6g^{2+3}\times \:2

                          =-6g^5\times \:2

                          =-12g^5

Therefore, we conclude that:

\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5            

8 0
3 years ago
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cub
Troyanec [42]

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}

Which means that option E is correct.

The <em>volume of a cube</em> of side length l is given by:

V = l^3

For Cube A, the volume is of 9 cubic inches, hence:

l_a^3 = 9

l_a = \sqrt[3]{9}

l_a = 9^{\frac{1}{3}}

l_a = 3^{\frac{2}{3}}

For Cube B, the volume is of 5 cubic inches, hence:

l_b^3 = 5

l_b = \sqrt[3]{5}

l_b = 5^{\frac{1}{3}}

Then, the ratio is:

r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}

To learn more about the volume of a cube, you can take a look at brainly.com/question/13030328

5 0
2 years ago
17 out of 24 students passed the math test what percent of students passed the math test
lord [1]
About 71% students passed
3 0
3 years ago
Read 2 more answers
Other questions:
  • Rodney is helping to make hamburgers for the football game. He's made 10 hamburgers so far. His coach asked him to make at least
    13·1 answer
  • Dont mind my ripped paper but if someone could answer #14 for me that would be great! thank you!
    10·2 answers
  • A Pentagon has angle measure of 101°,103°,115°and 113° what must the fifth angle measure? The fifth angle measures
    11·1 answer
  • Can anyone give me the variables
    15·2 answers
  • What is the area, in square inches, of the isosceles trapezoid below?
    8·1 answer
  • Please help!!!!!!!!!!!!!!!
    5·1 answer
  • A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what
    6·1 answer
  • Look at each pair of expressions. Select Equivalent or Not Equivalent for each pair Equivalent Not Equivalent a. f+f+fand 31 b.
    5·1 answer
  • What kind of transformation is shown in the picture?​
    12·1 answer
  • Which statement best represents the relationship in the scatterplot below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!