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
SpyIntel [72]
3 years ago
8

You are visiting a rainforest, but unfortunately,your insect repellent has run out. As a result, at each second, a mosquito land

s on your neck with probability 0.5. If a mosquito lands, it will bite you with probability 0.2, and it will never bother you with probability 0.8, independently of other mosquitoes. What is the expected time between successive bites?
Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Prob at each second, a mosquito lands on your neck =0.5

Prob it bites/it lands = 0.2

Prob it does not bite/it lands = 0.8

Hence in one second prob for getting a bite = 0.5(0.2) = 0.01

i.e. 1/100 chance of getting bitten in one second

In 100 seconds number of bites =1

Expected time between successive bites = 100

You might be interested in
Square of a binomial x^2+2x+1
garik1379 [7]
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square. 
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial. 
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2. 
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial. 
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1. 
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
3 0
3 years ago
Convert 65,000,000 to scientific notation please help!!
Mice21 [21]
You have to move the decimal point from the end to between the 6 and 5 then count how many spaces you moved it because this will become the power on the 10.
6.5 x 10^7
3 0
3 years ago
a cookie recipe calls for 2 1/4 cups of sugar for every 2/3 cups of flour.if you made a batch of cookies using 1 cup of flour ho
GenaCL600 [577]
Figure out how many cups of sugar are in 1/3 cup flour: 9/4÷2= 9/4÷1/2= 1 1/8. Multiply by 3: 1 1/8x3= 9/8x3/1= 27/8= 3 3/8. 3 and 3/8 cup of sugar for 1 cup flour. :)
7 0
3 years ago
How would I simplify 53-2(16/8*16-7)
Oduvanchick [21]

The simplified form of the expression is 3

<h3>Simplifying an Expression</h3>

From the question, we are to simplify the given expression

The given expression is

53 -2(16/8 * 16-7)

Simplifying

Using BODMAS

53 -2(16/8 × 16-7)

53 -2(2 × 16-7)

53 -2(32-7)

53 -2(25)

53 -50

= 3

Hence, the simplified form of the expression is 3

Learn more on Simplifying an Expression here: brainly.com/question/3622770

#SPJ1

7 0
1 year ago
Will give brainlist
Artemon [7]
All of these are mostly approximately
1) 250.3
2)3421.19
3)11494.04
4) 3.108

7 0
2 years ago
Read 2 more answers
Other questions:
  • At Smith Mountain Orchard, 3 pounds of apples cost $3.24.
    8·1 answer
  • Use polar coordinates to find the limit. [if (r, θ) are polar coordinates of the point (x, y) with r ≥ 0, note that r → 0 as (x,
    11·1 answer
  • Someone please urgently help me with these two short worded questions! Thanks so much
    10·1 answer
  • Given that f(x)=x^2-16x+60 and g(x)=x-10 find f(x)⋅g(x) and express the result in standard form.
    8·1 answer
  • Please help!!!!!!!!!!!!!!!
    5·1 answer
  • A parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long what is the perimeter of the par
    9·1 answer
  • Please help ASAP. Will give brainliest!
    5·1 answer
  • How many seconds will it take for the penny to hit the ground?
    7·1 answer
  • Y=-|x+3| domain and range
    12·1 answer
  • if a baseball team has lost 50 matches out of the 120 matches played in total, find out their winning percentage?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!