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 529So 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]
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
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.
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 a real-world problem that could be solved using the
equation below.
s2 = 400
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 ♥
which number best represents the slope of the graphed line?
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 :)
A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?
PLEASEE hurry, I attached 15 points
Answer:
113.04
Step-by-step explanation:
A = πr²
6 x 6 = 36
36 x 3.14 = 113.04
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
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 choiceStep-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
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
Answer:
nsks lsćsjwlskdusu sjsksksksndnnddn dksksosjsndjnyjy
Factor −1/2 out of −1/2x+6.
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
Help, please! I will mark you!
Answer:
It's the first one
Step-by-step explanation:
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?
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
How to solve
y = x + 1
y = 5x + 13
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:
What is 1+1=
I will give brainlist
Answer:
5
Step-by-step explanation:
Plz help plz plz plz this is due today
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
SAJKDHSJAAFJ CUPO AYUDA PORFAVOR TT_TT
Answer:
3
Step-by-step explanation:
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
Answer:
23 gallonsStep-by-step explanation:
The area of the 4 exterior walls:
A = 2(38 + 84)*20 = 4880 ft²The area of the 2 triangular faces:
A = 2*1/2*38*12 = 456 ft²Total area to be painted:
4880 + 456 = 5336 ft²Paint required:
5336 / 232 = 23 gallonsplease help i’ll give brainliest
..............
producers
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❤
Answer:
lets go
Step-by-step explanation:
YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY
I really need help I dont get how to solve to the answer
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.
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?.
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
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!
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:
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.
Answer:
x =(-8+√464)/-8=1-1/2√ 29 = -1.693
Step-by-step explanation:
Solve for X in the attached picture.
Answer:
x=20
Step-by-step explanation:
aro now if a I am rite but a try mai best
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?
Answer:
$70.20
Step-by-step explanation:
60 x 1.17 = 70.20
my question is in. the photo
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 :)
write five rational numbers less than -3
-4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20
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
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.
A ) 90
B ) 165
C ) 270
D ) 75
Answer:
165-90=75
item D
Answer:
Step-by-step explanation:
165-90=75
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?
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
Find x
Please help !
Will give BRAINLIEST
No links !