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
34kurt
3 years ago
11

One technique of killing cancer cells involves inserting microscopic synthetic rods, called carbon nanotubules, into the cell. W

hen the rods are exposed to near-infrared light from a laser, they heat up, killing the cell, while cells without rods are left unscathed (Wong et al., 2005). Suppose that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5. What is the probability that the cell will be killed
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

The probability that the cell will be killed is 0.9328.

Step-by-step explanation:

We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.

Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be '\text{B}_i'.

This means that the cell will get killed if \text{B}_1 \bigcup \text{B}_2 \bigcup \text{B}_3 \bigcup \text{B}_4 \bigcup \text{B}_5 happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.

Here, P(\text{B}_1) = 0.2, P(\text{B}_2) = 0.4, P(\text{B}_3) = 0.3, P(\text{B}_4) = 0.6, P(\text{B}_5) = 0.5.

So, the probability that the cell will be killed is given by;

P(A)= 1 - [(1 - P(\text{B}_1)) \times (1 - P(\text{B}_2)) \times (1 - P(\text{B}_3)) \times (1 - P(\text{B}_4)) \times (1 - P(\text{B}_5))]

P(A) = 1 - [(1 - 0.2) \times (1 - 0.4) \times (1 - 0.3) \times (1 - 0.6) \times (1 - 0.5)]

P(A) = 1 - (0.8 \times 0.6 \times 0.7 \times 0.4 \times 0.5)

P(A) = 1 - 0.0672 = 0.9328

Hence, the probability that the cell will be killed is 0.9328.

You might be interested in
Evaluate 5^28·5^-32·5^-4<br> A. 17,920<br> B. 0.017920<br> C. 0.000256<br> D. 0.00000256
romanna [79]

Answer:

D 0.00000256

Step-by-step explanation:

5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256

4 0
3 years ago
Read 2 more answers
Write the subtraction expression for the number line shown.
Scorpion4ik [409]

Answer is

0-4-9

start from zero then count

7 0
3 years ago
Read 2 more answers
Please help: how many inches of wood will be needed to make all three triangles?
goldfiish [28.3K]
Insufficient Information
5 0
3 years ago
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after
Vlad [161]
Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

A = A_ob^t
3600 = 3000b^4

Now we solve for b
3600 = 3000b^4
\frac{3600}{3000} = \frac{3000b^{4}}{3000}
\frac{6}{5} = b^4
\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}
\sqrt[4]{\frac{6}{5}} = b

Now that we have found b, we can use the equation A = 3000b^t to predict how many bacteria will be present after 10 hours.
b = \sqrt[4]{\frac{6}{5}}
t = 10
A = 3000b^t
A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732

Answer = 4732



4 0
3 years ago
Themba buys 2 boxes of mayos on opening the boxes he find that an average of 2 are damagef in each box how many mayos altogether
borishaifa [10]
We would need to know how many are in each box to figure this out.
4 0
3 years ago
Other questions:
  • Andie’s soccer team recycles plastic grocery bags at the TRECA recycling center. The center pays a fixed amount for each ounce o
    7·1 answer
  • 26. If the area of the rectangle shown below is given by the expression 3x + 7x - 6,
    10·1 answer
  • Sean has 1/5 of a cupcake and 1/5 of a large cake. Are they the same?
    5·1 answer
  • A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d
    14·2 answers
  • Add. 12.6+(–12.6)<br> a. 25.2<br> b. 24.2<br> c. 0<br> d. –25.2
    9·1 answer
  • PLEASE HELP!!
    13·1 answer
  • How do you use the distributive property to simply 11 (9+d)
    9·1 answer
  • Which two integers is –84 between?
    7·1 answer
  • The perimeter of a rectangle is 90 centimeters. The length is 27 centimeters.
    14·1 answer
  • Look at the fraction and decide which comment matches the situation
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!