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
kkurt [141]
3 years ago
12

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exa

m at all and decides to randomly guess the answers. What is the probability that: (a) the first question she gets right is the 5th question? (b) she gets all of the questions right? (c) she gets at least one question right?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer: a) 0.07910, b) 0.000976, c) 0.7626

Step-by-step explanation:

Since we have given that

Number of questions = 5

Number of choices = 4

P(getting correct) = \dfrac{1}{4}=0.25

a) the first question she gets right is the 5th question?

P(getting 4 wrongs answers and one right answer) is given by

(1-0.25)^4\times 0.25\\\\=0.75^4\times 0.25\\\\=0.07910

b) she gets all of the questions right?

P(all right )= 0.25^5=0.000976

c) she gets at least one question right?

1-P(All of them wrong)

=1-(1-0.25)^5\\\\=1-0.7565\\\\=1-0.2373\\\\=0.7626

Hence, a) 0.07910, b) 0.000976, c) 0.7626

You might be interested in
2people answer thiss . for points??!?!
beks73 [17]
???????????????????????????????????
5 0
3 years ago
Read 2 more answers
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
Find the sum of 0.482 and 482.3152
Airida [17]

Answer:482.7972

Step-by-step explanation:

7 0
3 years ago
1. Refer to the equation 3x − 6y = 18. (a) Create a table of values for at least 4 points. Show your work.
never [62]
You have to multiple 3 times somithing then you just sudtart that to get 18
4 0
3 years ago
What is the domain and the outputs
aliya0001 [1]

<u><em>Domain:</em></u>

input values

independent

<u><em>Outputs:</em></u>

output values

dependent

3 0
3 years ago
Other questions:
  • Find the area of the triangle that has a base of 16 yd and a height of 9 yd.
    9·1 answer
  • A quadrilateral with vertices (-3,2),(-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5.
    13·1 answer
  • Exterior of scalene triangle sides are 25 and 15 and x. solve x.
    12·2 answers
  • A. Left skewed<br> b. Right skewed<br> C. Symmetric<br> d. Symmetric with<br> outliers
    14·1 answer
  • There are 80 tens.write how many hundreds.write the number
    7·2 answers
  • Melanie is 2 years older than twice her brother Bill’s age. If Bill is 5 years old,how old is Melanie
    5·2 answers
  • Over the course of a year, a company goes from 115 employees to 124 employees. Build an equation.
    14·2 answers
  • Which levels need to be correct for cells to function? Select four options.
    15·1 answer
  • Helppppppppp i will give points
    13·1 answer
  • Greg bought 18 4/5 gallons of gas. What decimal should the meter on the gas pump read?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!