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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

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PLEASE HELP!! Find the surface area of each figure to the nearest tenth. Show your work.
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a=5.2 ft,  b=2.4 ft, c=3.5ft

Surface area = 2(5.2 * 2.4 + 2.4 * 3.5 + 3.5 * 5.2) =
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6 0
2 years ago
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Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

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Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

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2 years ago
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