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
IRISSAK [1]
2 years ago
8

cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bulls

eye?
Mathematics
2 answers:
Zigmanuir [339]2 years ago
7 0

Answer:

A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.

(a) Find the probability that she is successful for the first time on the third throw:

The number F of unsuccessful throws till the first bull’s eye follows a geometric

distribution with probability of success q = 0.2 and probability of failure p = 0.8.

If the first bull’s eye is on the third throw, there must be two failures:

P(F = 2) = p

2

q = (0.8)2

(0.2) = 0.128.

(b) Find the probability that she will have at least three failures before her first

success.

We want the probability of F ≥ 3. This can be found in two ways:

P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .

= p

3

q + p

4

q + p

5

q + p

6

q + . . . (geometric series with ratio p)

=

p

3

q

1 − p

=

(0.8)3

(0.2)

1 − 0.8

= (0.8)3 = 0.512.

Alternatively,

P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))

= 1 − (q + pq + p

2

q)

= 1 − (0.2)(1 + 0.8 + (0.8)2

)

= 1 − 0.488 = 0.512.

(c) How many throws on average will fail before she hits bull’s eye?

Since p = 0.8 and q = 0.2, the expected number of failures before the first success

is

E[F] = p

q

=

0.8

0.2

= 4.

Hatshy [7]2 years ago
3 0
Give brainliest to the other person
You might be interested in
The lines given by the equations y = 2x and y= 2x + 1 are
Elan Coil [88]
A. is the answer i’m pretty sure
7 0
2 years ago
How does this one work?
Drupady [299]

Answer:

fvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Step-by-step explanation:

fvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfv

8 0
2 years ago
PLEASE HELP ME SOLVE
kirill115 [55]

The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

In the question ,

it is given that

the time taken to vacate the stadium = 20 minutes

number of exits = 25 exits

capacity of the stadium = 25000 spectators .

given that ,

time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .

time taken ∝ number of spectators ∝ 1/number of exits .

to remove the proportionality sign , we write the constant

time taken = k * (number of spectators)/(number of exits) .

20 = k * 25000/25

20 = k * 1000

k = 20/1000

k = 2/100

k = 1/50 = 0.02

So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula

time taken = (0.02)*(21000/15)

= 0.02*1400

= 28

Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28  minutes .

Learn more about Equation here

brainly.com/question/23633125

#SPJ1

5 0
1 year ago
Helen bought notebooks and pencils to school the number of pencils she bought is given 6(n-3) where n number of notebooks she bo
babunello [35]

Answer:

she bought 12 pencils

Step-by-step explanation:

6(5-3)

6(2)=12

6 0
3 years ago
Worth 20+ points! Answer all parts and will award brainliest! Please show work
eduard
Factor the following:
x^2 - 5 x - 24
Hint: | Factor x^2 - 5 x - 24 by finding two numbers whose product is -24 and whose sum is -5.
The factors of -24 that sum to -5 are 3 and -8. So, x^2 - 5 x - 24 = (x + 3) (x - 8):
Answer:  (x + 3) (x - 8)

___________________________________________________________

Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer:  (7 x - 8) (7 x + 8)
<span>-24 + 15 x + x^2 
</span>
____________________________________________________________

Factor the following:
x^2 - x - 110
Hint: | Factor x^2 - x - 110 by finding two numbers whose product is -110 and whose sum is -1.
The factors of -110 that sum to -1 are 10 and -11. So, x^2 - x - 110 = (x + 10) (x - 11):
Answer: (x + 10) (x - 11)___________________________________________________________

Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer:  (7 x - 8) (7 x + 8)

_______________________________________________________

Factor the following:
25 x^2 + 40 x - 10
Hint: | Factor out the greatest common divisor of the coefficients of 25 x^2 + 40 x - 10.
Factor 5 out of 25 x^2 + 40 x - 10:
Answer: 5 (5 x^2 + 8 x - 2)

__________________________________________________________

Factor the following:
9 x^2 + 3 x^2 - 6 x
Hint: | Add like terms in 9 x^2 + 3 x^2 - 6 x.
3 x^2 + 9 x^2 = 12 x^2:
12 x^2 - 6 x
Hint: | Factor common terms out of 12 x^2 - 6 x.
Factor 6 x out of 12 x^2 - 6 x:
Answer: 6 x (2 x - 1)

4 0
3 years ago
Other questions:
  • Find the intercepts: x+5y= -5
    6·1 answer
  • F(x)=2x-3 for x =2<br>a.-7<br>b.-1<br>c.1<br>d.4
    12·1 answer
  • Evaluate: -16 - w, when w = -23.
    8·2 answers
  • A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is r cubic inches and the volum
    5·1 answer
  • Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and
    14·1 answer
  • How many times around the Earth is 3.7 trillion apples ?<br><br>Show how you worked it out please.
    11·1 answer
  • Write the word sentence as an equation. 12 less than a number m equals 20.
    13·1 answer
  • What's the seventh term<br><br>1,2,3,4,5,.....<br>​
    11·1 answer
  • Which of the following equations is the result after the first step in solving 3x + 6 = 12?
    14·2 answers
  • Please can someone help me with this question
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!