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
luda_lava [24]
2 years ago
8

"Polio has a basic reproduction number (R0) = 5. The vaccine is very good; in fact, polio vaccine is 99% effective when two foll

ow up booster shots are given. What proportion of a population needs to be vaccinated in order for herd immunity to be effective? Be sure to enter your answer as a decimal, not as a percentage."
Mathematics
1 answer:
yulyashka [42]2 years ago
5 0

Answer:

0.81

Step-by-step explanation:

Herd immunity or community immunity is the immunity seen after vaccination of a population wherein the large portion of the population becomes immune to the pathogen. It depends on vaccine efficacy and vaccination rate.

The reproduction number R_o is a factor indicating the number of people that can be infected by the person with the disease. If Ro=5 then one infected person can infect 5 people with Polio virus.

V_c= q_c/E

V_c= Vaccine coverage

q_c= herd immunity threshold

E= Vaccine efficacy= 99%=0.99

q_c=1-1/R_o= 1-1/5=0.8

V_c= q_c/E

V_c= 0.8/0.99= 0.808= 0.81

Thus, 81% coverage or vaccination for Polio is required to stop spread of Polio in the population.

You might be interested in
Solve for x. 9x=5x 20 enter your answer in the box. x =
const2013 [10]
Collect the like terms
9x-5x=20
4x=20 divide both sided by 4
x=5
7 0
3 years ago
Read 2 more answers
Find Sin (BAC+30) 80POINTS
Ann [662]

Answer:

\dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos (\angle BAC)=\dfrac{12}{20}
  • \sin (\angle BAC)=\dfrac{16}{20}

<u>Angles</u>

\sin (30^{\circ})=\dfrac{1}{2}

\cos (30^{\circ})=\dfrac{\sqrt{3}}{2}

Therefore, using the trig identities and ratios:

\begin{aligned}\sin (\angle BAC + 30^{\circ}) & = \sin (\angle BAC) \cos (30^{\circ})+\cos (\angle BAC) \sin (30^{\circ})\\\\& = \dfrac{16}{20} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{12}{20} \cdot \dfrac{1}{2}\\\\& = \dfrac{16}{40}\sqrt{3}+\dfrac{12}{40}\\\\& = \dfrac{2}{5}\sqrt{3}+\dfrac{3}{10}\end{aligned}

3 0
1 year ago
Read 2 more answers
A spherical water balloon has a diameter of 10 cm. How much water is needed to fill the balloon, in cubic centimeters? Round you
Helga [31]
You need to find the volume so, 4* \pi *r ^{3} / 3 = volume. So then we need the radius which would be 5. So, 5* \pi * 5 ^{3} / 3 = about 523.3 cm cubed
4 0
3 years ago
3 gallons of paint cover 900 square feet. How many gallons will cover 300<br> square feet?
SVEN [57.7K]

Answer:

1 gallon

Step-by-step explanation:

Since the relationship is direct, meaning as the number of square feet decreases, the number of gallons also decreases.

3:900 = x:300

solution:

3(300) = 900x

900=900x

x=1

4 0
2 years ago
Read 2 more answers
What is 4k-14+3k=21​
BARSIC [14]

So here. I don't know how to explain so-

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which is a rule to describe this transformation
    10·2 answers
  • Find the volume of the cone. Leave your answers in therms of pi.
    9·1 answer
  • The fucntion f(x)= square root -x is shown on the graph. Which statement is correct?
    10·1 answer
  • Average Earnings of Workers The average earnings of year-round full-time workers 25–34 years old with a bachelor’s degree or hig
    6·1 answer
  • Determine whether the given description corresponds to an observational study or experiment
    6·1 answer
  • Hopeful this makes seance to one of ya'll
    13·2 answers
  • . Find the common factor of terms 5a4+15a3<br> -10a2
    5·1 answer
  • Help! What’s the answer.. It’s a Khan Academy Problem
    11·1 answer
  • Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest ra
    15·1 answer
  • Mike is adding 145 and 237. his work is shown. how can mike find the sum?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!