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
Mazyrski [523]
3 years ago
12

A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia

tion of the binomial distribution.
8.9
80.0
119.9
0.2
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

You might be interested in
What is a word that start with O and end X????? Number 5.
Alisiya [41]
Ox......,,,,,,,,,,,,,,,,,,   
;)
5 0
3 years ago
Consider this right triangle.<br> 21<br> 29<br> 20<br> Enter the ratio equivalent to s
AleksAgata [21]

Answer:

Part 1) sin(B)=\frac{21}{29}

Part 2) csc(A)=\frac{29}{20}

Part 3) cot(A)=\frac{21}{20}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(B)=\frac{21}{29}

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

csc(A)=\frac{1}{sin(A)}

sin(A)=\frac{BC}{AB} -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(A)=\frac{20}{29}

therefore

csc(A)=\frac{29}{20}

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

cot(A)=\frac{1}{tan(A)}

tan(A)=\frac{BC}{AC} -----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{20}{21}

therefore

cot(A)=\frac{21}{20}

4 0
2 years ago
Find the equation of the line<br> In the form y=mx+b
Aleonysh [2.5K]

Answer:

y = -1/3x + 5

Step-by-step explanation:

-1/3 is the slope because the line goes down 1 unit and right 3 units.

The y-intercept is 5 because that is where the line crosses the y-axis.

8 0
2 years ago
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the
balandron [24]
A 1:12 is the answer for this question
5 0
3 years ago
Use the distributive property to expand the expression (8x + 3y) - (5z + 3)​
lord [1]

Answer:

8x+3y-5z-3

Step-by-step explanation:

8x+3y-5z-3

Just multiply the second parenthesis with the minus for your answer.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What divided by 5 equals 7
    6·2 answers
  • 1. $210.00 increased by 40% is what percent of $210.00? 2. How much money is a $210.00 increased by 40%?
    14·1 answer
  • Jonathan's antiques purchased an old wooden sled at an auction for $210. Jonathan wants to markup the sled 60 percent of the sel
    14·1 answer
  • A chemical supply company guarantees the precision weighing of its products. They advertise that a certain product weighs 8 oz +
    10·1 answer
  • Charlie's Computer Company charges $0.65 per pound to ship computers. Part A: Write an equation to determine the total cost, c,
    6·1 answer
  • Describe two ways to write equivalent algebraic expressions
    8·1 answer
  • 17x - y &lt; 13<br> I’m slope-intercept form
    14·1 answer
  • Select the car that has the best fuel efficiency (greatest number of kilometers per liter of gasoline).
    10·1 answer
  • I need help with these questions asap
    10·2 answers
  • A right circular cylinder has a height of 2214 ft and a diameter 225 times its height. What is the volume of the cylinder? Enter
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!