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
Advocard [28]
3 years ago
14

A die is rolled nine times and the number of times that two shows on the upper face is counted. If this experiment is repeated m

any​ times, find the mean for the number of twos.
Mathematics
1 answer:
vivado [14]3 years ago
5 0

Answer:

E(x) = 1.5\\

Step-by-step explanation:

Given

n = 9 -- number of rolls

Required

The mean of 2's

The distribution follows binomial distribution where:

X \to Binomial(n,p)

In this case:

p= \frac{1}{6} ---- the theoretical probability of rolling 2

So, the mean of 2's is calculated using:

E(x) = np

E(x) = 9 * \frac{1}{6}

E(x) = \frac{9}{6}

Simplify

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

E(x) = 1.5\\

You might be interested in
The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
3 years ago
Select all COEFFICIENTS in the following expression:<br> 17x +3 - 5y + 19 + 10:
bulgar [2K]

Step-by-step explanation:

coefficient of x is 17

coefficient of y is -5

coefficient of constant term: 3 + 19 + 10 = 32

8 0
3 years ago
What is the final amount if 975 is increased by 1% followed by a further 9% increase?
Verdich [7]

Answer:

1073.38

Step-by-step explanation:

975 × 0.01 = 9.75

9.75 + 975 = 984.75

984.75 × 0.09 = 88.6275

88.6275 + 984.75 = <u>1073.38</u>

3 0
3 years ago
A= 5,000 (1+.002*10)
Aneli [31]
I think The answer is 5100
3 0
2 years ago
Jack sold 30 glasses of lemonade in 5 hours.Which of the following should be used to find the rate per hour of jacks lemonade se
avanturin [10]

Answer:

D

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What is the line reflection between pentagons PQRST &amp; P'Q'R'S'T'
    14·1 answer
  • Do what is on the attachments
    15·1 answer
  • I need help with 2 more questions ??
    6·2 answers
  • An irrational number between 5/7 and 7/9 is?
    8·1 answer
  • 7,080 ÷ 15 Solve? Thank you.
    11·1 answer
  • Find the sum of the interior angle measures of a convex 21-gon
    8·1 answer
  • Evaluate the expression 10−2x+8 when x=2.
    5·1 answer
  • A container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of pepper
    15·2 answers
  • Find the perimeter of a triangle with sides 10 inches, 5 inches, and 11 inches in length. A 16 inches 15 inches с 24 inches D 26
    15·1 answer
  • Which of the following shows the correct work and solution to the exponential equation 5x - 1=25
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!