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
guajiro [1.7K]
4 years ago
14

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you

r answer to two decimal places.) HINT [See Example 4.]
Mathematics
1 answer:
Ann [662]4 years ago
4 0

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

You might be interested in
What is the difference in volume, in cubic feet, of the two prism?
Olegator [25]

Answer:

What prisms

Step-by-step explanation:

7 0
3 years ago
What is 243 written as a power of a number?
Zigmanuir [339]
A to the power of b

a^b 

a = base

b = exponent

SO

10^243 or 10 to the power of 243.

You can use other numbers also.

Hope i helped!!  
8 0
3 years ago
Giving 40 points who help me
Elena L [17]

Answer:

D is the answer. There are 5 boxes, that each has 3 filled in.

7 0
2 years ago
78 million converted in scientific notation
Lemur [1.5K]

The <em><u>correct answer</u></em> is:

7.8 × 10⁷

Explanation:

To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us

7.8 × 10⁷

7 0
3 years ago
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
Other questions:
  • Help thx!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
    9·1 answer
  • 59% of the working population attended college. If a person in the working population attended college, there is a 0.94 probabil
    9·1 answer
  • How do you show the distributive property to find the product of 7 and 56?
    15·1 answer
  • How do you solve x 1/2 power + 2
    12·1 answer
  • 4x + 3y = 22<br> 5x - 4y = 43<br> Simultaneous Equation
    10·1 answer
  • I made a fort for my pet porcupine by connecting two boxes. the first box is 10 meters long, 7 meters wide, and 5 meters high. t
    10·2 answers
  • What’s the correct answer for this question?
    10·2 answers
  • Find the slope given to the points (-2,-9) and (-1,-3)
    5·1 answer
  • (04.01)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!