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
faltersainse [42]
3 years ago
13

A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio

n of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}

Here

  • \hat{p} is the sample measure which is 8% or 0.08
  • p is the population measure which is 6% or 0.06
  • n is the number of samples which is 529

So the Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955

For this the score, the value of probability is calculated from the table as below:

P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z

Here value of p(Z<-1.6955) is given as 0.0455

P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545

 

You might be interested in
Pls help you will get brainliest
cupoosta [38]

Answer:

5/6

Step-by-step explanation:

1/6 + 1/6 = 2/6 TYPE A wood

1/4 + 1/4 = 2/4 TYPE B wood

2/6 + 2/4= ...

2/4 reduces to ?/2

That would be 1/2 because 4 divided by 2 is 2 & 2 divided by 2 is 1.

1/2= ?/6

Its 3/6 because we did 2 x 3 to get 6 and we do the same to the number 1. So we do 1 x 3 = 3

Now we have 3/6 + 2/6!

This is very easy now! We just do 2 + 3 which gets 5.

OUR ANSWER IS 5/6!! Hope this helps! plz mark as brainliest!

8 0
3 years ago
HOW is it helpful to write numbers in different ways?
Alisiya [41]
It is helpful to write them in different ways
some ways to write them are
1.fractions
2.decimals
3.squareroots (if applicable)

so it would be more helpful in an equation to leave 6/7 in fractional form if  you are going to manipulate it more, because 0.857142857142... is much harder to keep track of than 6/7


and sometimes, they want a percent which is easier to convert to from decimal form than from fractinoal form so ex  0.857142857142...=85.7% vs 6/7 to percent

sometimes there will be square roots and they are easier if left like that ex
√2=1.4142135623...
it would be easier to leav it in square root

it depends on the equation you are trying to solve, because different forms have different pros and cons, some are easier to work with in a certain form but not in another, sometimes, you will need to change between multipule forms during the same problem
8 0
3 years ago
Read 2 more answers
Find the solution(s) of 6x – 9 = 33x
Nookie1986 [14]

Answer:

C. x = 3/13

Step-by-step explanation:

7 0
3 years ago
If two people who cannot digest lactose as adults reproduce, what is the probability that their children will be able to digest
sweet [91]
It is very unlikely that the children will be able to digest lactose. 
6 0
3 years ago
Read 2 more answers
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts
k0ka [10]

The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.

<h3>What is an exponential equation?</h3>

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.

Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Other questions:
  • Find the exact value by using a half-angle identity. sin 22.5°
    13·2 answers
  • 3x-32=-7×+28. what does x =​
    11·2 answers
  • 3(x-2)*2-3? What's the y intercept x intercept vertex and the axis of symmetry ( *2 means the 2 power)
    15·1 answer
  • Please Help!!
    6·2 answers
  • In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.
    15·2 answers
  • What is the weight of a rock that has a mass of 5 kilograms​
    10·1 answer
  • A new CD is being marketed to teens at a price of $20. The suppliers are selling all of the CDs they have, and the teens are get
    15·2 answers
  • A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water
    8·1 answer
  • 5) Find the value of x<br>5²x + 5 = 5​
    11·1 answer
  • What equation of a line that has a slope of 2 and passes through point (-6,3)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!