A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.

Answers

Answer 1

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

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]

Here

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

So the Z score is given as

[tex]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[/tex]

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

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]

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

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]

 


Related Questions

Find x
Please help !
Will give BRAINLIEST
No links !

Answers

Hello! X would be = to 7, here is how I did it

4)
Solve the equation for x.
EX-8--12
ighlight
Time
maining
3:13:47
de Tools
A)
X = -12
B)
x = -6
C)
X-4
D)
X-6
5)
Apply the distributive property to simplify the expression.

Answers

Answer:

x =(-8+√464)/-8=1-1/2√ 29 = -1.693

Step-by-step explanation:

A ) 90
B ) 165
C ) 270
D ) 75

Answers

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

165-90=75

Write a real-world problem that could be solved using the
equation below.
s2 = 400

Answers

Answer:

I have two pairs of marbles, and they are evenly distributed between two piles and I have 400, how many marbles are in each pile?

(っ◔◡◔)っ ♥ Hope It Helps ♥

Plz help plz plz plz this is due today

Answers

Answer:

A,E

Step-by-step explanation:

Answer: hi um so the answer is x= 10-2y it might be B or F good luck and have a nice day

Step-by-step explanation:

2(x+2y)=20

x+2y=20/2

x=2y=10

x=10-2y

Write an equivalent expression.
−2​(7+6g​)
Choose the correct answer below.
A.
−2​(7+6g​)=6g−14
B.
−2​(7+6g​)=−2−12g
C.
−2​(7+6g​)=−14+6g
D.
−2​(7+6g​)=−14−12

Answers

Answer:

Assuming choice D is -14-12g, then it would be choice D.If it is supposed to be -14-12, then there is no such solution in choice

Step-by-step explanation:

Here, in order to make an equivalent expression, we need to know the concept of the distributive property.

c(a+b)=ac+bc

---------------------------------------------------------------------------

Solve

 -2(7+6g)

=(-2×7)+(-2×6g)

=-14-12g

Hope this helps!! :)

Please let me know if you have any question

Answer:

-2(7+6g)= -14 -12

POINTSS GIVEAWAY!!!!!!!!!!! WHOEVER GETS THEM, YAYYY AND FOR THOSE WHO DONT I HOPE BOTH SIDES OF YOUR PILLOW ARE COOL TONIGHT, REMEMBER TO STAY HYDRATED, TAKE YOUR MEDS AND EAT SOMETHING, STAY SAFE MY LUVS❤

Answers

Answer:

lets go

Step-by-step explanation:

YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY

O departamento financeiro de uma empresa de cosméticos apresentam relatório referente aos lucros e/ou prejuízos de ano 2010 o gráfico baixo contido no relatório função lucro (L). Do 2° grau e a função custo (C), do 1° grau para produção de venda de x centenas de unidades de cosméticos

Answers

Answer:

nsks lsćsjwlskdusu sjsksksksndnnddn dksksosjsndjnyjy

The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. If g(x) is obtained by shifting f(x) up by 4 units, then what is the value of k?

Answers

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4

I really need help I dont get how to solve to the answer

Answers

Answer: A

Step-by-step explanation:

3/5 = 60%

A, Rosa has 7/12 which is about 58%

B, Rosa has 6/12, which is 50%

C, Rosa has 9/12 which is 75%

D, Rosa has 8/12 which is 66%

A would be the closest.

SAJKDHSJAAFJ CUPO AYUDA PORFAVOR TT_TT

Answers

Answer:

3

Step-by-step explanation:

Using all my points for this. Sorry for making somebody have to do this but I have to do some other homework on the side that I need completed by today so I can't afford lose any time so please it would be a big help if somebody did this! Thank You!

Answers

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

Answers

Answer:

12566.4 mm²

Step-by-step explanation:

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

TSA = Total Surface Area

CSA = Curved Surface Area

TSA of open cylinder = CSA of cylinder + area of base or top

= 2πrh + πr²

= πr(2h + r)

From the above question:

r = 50mm

h = 15mm

Hence,

= π × 50 (2 × 15 + 50)

= π × 50 (30 + 50)

= π × 50(80)

= π × 4000

= 12566.370614mm²

Approximately = 12566.4 mm²

The Surface Area of the petri dish with no lid = 12566.4 mm²

write five rational numbers less than -3​

Answers

-4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20

A drawing is 12 inches wide and 10 inches long. Joe wants to enlarge each side by a scale factor of 0.3. What will be the area of the dilation?

Answers

Answer:

Area of the dilation = 10.8 square inches

Step-by-step explanation:

Given the original dimension

Length = 12inches

Width = 10inches

If they are dilated by a factor of 0.3

New length = 0.3 * 12 = 3.6in

New width = 0.3 * 10 = 3in

Area of the dilation = 3.6 * 3

Area of the dilation = 10.8 square inches

which number best represents the slope of the graphed line?

Answers

Answer:

If you have choices it is either -5 or 5.

Step-by-step explanation:

First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)

What is 1+1=
I will give brainlist

Answers

Answer:

5

Step-by-step explanation:

Help, please! I will mark you!

Answers

Answer:

It's the first one

Step-by-step explanation:

PLEASEE hurry, I attached 15 points​

Answers

Answer:

113.04

Step-by-step explanation:

A = πr²

6 x 6 = 36

36 x 3.14 = 113.04

Nathan and Sydney start out together on a bike trail that is 24 24 miles long. Nathan bikes at 8 8 miles per hour. Sydney bikes at 12 12 miles per hour. Which statement is true?.

Answers

Answer:

what are the staements

Step-by-step explanation:

sydney finishes first

Nathan finishes second

Sydney finished in 2 hours

Nathan finishes in 3 hours

i am guessing at the statements

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

PLS help me I'm DESPERATE
its 100 points so it will be worth it

Answers

Answer:

23 gallons

Step-by-step explanation:

The area of the 4 exterior walls:

A = 2(38 + 84)*20 = 4880 ft²

The area of the 2 triangular faces:

A = 2*1/2*38*12 = 456 ft²

Total area to be painted:

4880 + 456 = 5336 ft²

Paint required:

5336 / 232 = 23 gallons

Solve for X in the attached picture.

Answers

Answer:

x=20

Step-by-step explanation:

aro now if a I am rite but a try mai best

please help i’ll give brainliest

Answers

..............

producers

A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?

Answers

There was a 30% increase

A line,y = mx +b, passes through the point (4,-3) and is
parallel to y = 12 +3. What is the value of b?
1

Answers

the answer is b = -3

my question is in. the photo

Answers

Answer:

5

Step-by-step explanation:

To find the median, write down all numbers in numerical order and cross off one number from each side until you are left with the middle number.

One thing to keep in mind when doing this, though, is to make sure you cross off the same amount on each side, and if you have 2 numbers left, like 13 and 14, your answer would be the number exactly between those, 13.5.

Hope this helps :)

the the answer is: 5

8. Find the values of the variables.
a. x = 39.6, y = 10.6
b. x = 10.6, y = 39.6
c.x= 42.4, y = 158.4
d. x 158.4, y = 42.4

Answers

Answer:

x = 10.6, y = 39.6

Step-by-step explanation:

Given that,

Angle A = 75°

Angle B = 90°

Angle C = 180-(A+B)

= 15°

Now, using trigonometry,

[tex]\sin C=\dfrac{x}{41}\\\\x=41\times \sin C\\\\=41\times \sin(15)\\\\x=10.6[/tex]

For y, using Pythagoras theorem,

[tex]y=\sqrt{41^2-10.6^2} \\\\y=39.6[/tex]

Hence, the value of x is equal to 10.6 and that of y is equal to 39.6.

How to solve
y = x + 1
y = 5x + 13

Answers

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

Factor −1/2 out of −1/2x+6.

Answers

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

A video game is in high demand and the store can't keep them in stock. Instead of selling it for $60 they markup the price 17%. What is the new price after the markup?

Answers

Answer:

$70.20

Step-by-step explanation:

60 x 1.17 = 70.20

Other Questions
Quadrilateral PQRS is a rectangle.Find the measure of _PTQ. There were 6 million Africans captured, most were sent to What do the Ougas actions reveal about his character? Which sentence from the excerpt best supports the idea that the high-ranking sumo wrestlers enjoy many luxuries? The incentive scheme that rules sumo is intricate and extraordinarily powerful. The sixty-six highest-ranked wrestlers in Japan, comprising the makuuchi and juryo divisions, make up the sumo elite. A wrestler near the top of this elite pyramid may earn millions and is treated like royalty. The seventieth-ranked wrestler in Japan, meanwhile, earns only $15,000 a year pestel analysis for security industry in uk HELP this is an end of year exam and i got a 64 the first timeIn the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.A map of the aquarium at the City Zoo. A triangle has points whales, sharks, dolphins. The distance from Whales to sharks is 54 feet and from whales to dolphins is 30 feet. A triangle with points Dolphins, fish tanks, penguins. The distance from dolphins to fish tanks is 45 feet, and from penguins to fish tanks is x feet.What is the distance between the penguins and the fish tanks?25 feet36 feet69 feet81 feet make alist of social problems Which name does NOT appear to describe this quadrilateral?a.squareb. trapezoidc. rhombusd. parallelogramPlease select the best answer from the choices providedABCD what allows oxygen to pass into your blood?branliest. Which part of your report is supposed to make your readers believe what you say?A. IntroductionB. OutlineC. Evidence D. ConclusionPlease help and be honest What is the slope of the line? Find the value of 4/81 can yall please help me with this last one for today ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS Plz help asap with explanation and will get the brilliant Qu les sucede a la z, c, y a la s en la pronunciacin? The budget for Department 6 of Cardinal Company for the current month ending March 31 is as follows: Materials $208,000 Factory wages 265,000 Supervisory salaries 67,800 Depreciation of plant and equipment 35,000 Power and light 22,500 Insurance and property taxes 15,500 Maintenance 9,700 During March, the costs incurred in Department 6 of Cardinal Company were materials, $204,000; factory wages, $285,000; supervisory salaries, $63,600; depreciation of plant and equipment, $35,000; power and light, $21,360; insurance and property taxes, $14,400; and maintenance, $9,456.Required:Prepare a budget performance report for the supervisor of Department 6 of Cardinal Company for the month of March. The shrinking of the Aral Sea is a direct result ofEvaporation due to global warmingo redirection of rivers away from it in order to irrigate cropsbuilding a dam which decease the water levelsover fishing of the sea The body makes molecules that can help to destroy harmful viruses and bacteria. These are calledA. AntibodiesB. VaccinesC. HormonesD. Antibiotics how did the supreme courts new jersey v. t.l.o. decision affect civil liberties for u.s. citizens a. it expanded public schools ability to search students without obtaining a warrant.b. it established that students have a right to freedom of speech in public schools.c. it stripped students of fifth amendment protections if they were arrested on school property.d. it restricted teacher-led prayer and general religious expression in public schools.