In a large population, 54% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated? Round your answer to three decimal places.
Answers
Answer:
\( P(X \geq 1) = 1- P(X<1) =1-P(X=0)\)
We can use the probability mass function and we have this probability:
\(P(X=0)=(4C0)(0.54)^0 (1-0.54)^{4-0}=0.0448\)
And replacing we got:
\( P(X \geq 1) =1- 0.0448 = 0.955\)
Step-by-step explanation:
Let X the random variable of interest "number of people vaccinated", on this case we now that:
\(X \sim Binom(n=4, p=0.54)\)
The probability mass function for the Binomial distribution is given as:
\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)
Where (nCx) means combinatory and it's given by this formula:
\(nCx=\frac{n!}{(n-x)! x!}\)
And we want to find this probability:
\( P(X \geq 1) = 1- P(X<1) =1-P(X=0)\)
We can use the probability mass function and we have this probability:
\(P(X=0)=(4C0)(0.54)^0 (1-0.54)^{4-0}=0.0448\)
And replacing we got:
\( P(X \geq 1) =1- 0.0448 = 0.955\)
Related Questions
Pythagorean Theorem Comic Strip Mini Project (It's do in 3 hours)
Requirements: The comic strip must contain...
six (6) panels minimum,
clearly drawn characters,
an explanation of applying the Pythagorean Theorem
element(s) of humor, irony, drama (I don't really care about this part)
Show your work (work out the problem in the story)
Answer the question in your story with a complete sentence
This must be done in color!
It must be on paper with no lines or construction paper
Answers
Answer:
Ok I can give you scripts
Ill label the panel with (number) also the characters are below
triangle, hypotnuse, a, billy
1) Trinagle: I’m missing a side and I got a replacement but I forgot what it was and now its all messed up (insert sad face)
Bilily: Hey I can help with that, we can use soemthing call the Pythagorean Theorem!
2) Triangle: what is that?
Billy: *explains Pythagorean theorem*
3) Triangle: Ahh, I have my hypotnuse and 1 side.
Hypotnuse: Yes I’m exact 5 inches
Side A: And I’m exactly 3 inches
4) Billy: So we can use the Pythagorean theorem by
3^2+b^2=5^2
5) Triangle: So i solve for B and thats it!
6) Triangle: I got it, Its 4 inches, thank you so much!!!
Billy: No problem
hypotenuse: Yes, and triangle
7) Triangle: yes?
hypotnuse: What happened to you and circle, weren’t you guys engaged?
8) Triangle: nah, he was pointless.
*end pannel with corny joke and you’d get extra credit :)*
Answer:
ion
Step-by-step explanation:
ion
Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.
Answers
No, what they said is not fact.
The statement "producing great engineers who benefit science and technology in India is the most important function of IITs" and "IITs are greatly improving the image of India in the West" are both important functions of IITs, and the priority of these functions may depend on individual perspectives and goals.
Some people might argue that producing engineers is more crucial for the development of India's technology and economy, while others might argue that improving the image of India in the West is equally important for increasing its global recognition and competitiveness. Both functions play important roles and it is a matter of perspective which one is considered more important.
Correct Question :
Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west
Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.
What they said is fact or not? Explain.
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the area of a rectangle is 2x (length + breadth) true or false
Answers
Answer:
false
Step-by-step explanation:
to get the area of a rectangle u need to multiple length and width.
Answer:
false
Step-by-step explanation:
the given expression describes the perimeter.
the area is
length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)
-90 = -100 + x help need answer
Answers
Answer:
10 =x
Step-by-step explanation:
-90 = -100 + x
Add 100 to each side to isolate x
-90+100 = -100+100 + x
10 =x
select all that are integers
9, -17, 1/4, 0, -3.6
Answers
Answer:
9,-17,0
Step-by-step explanation:
An integer is a whole number
31-+=16
28+b=50
33+c=54
52-n+=24
Answers
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
The spinner shown has six equal-size sections and is spun twice.
What is the probability that the product of the numbers spun is 12? Express your answer as a fraction in simplest form.
the things on the spinner
1
2
3
4
5
6
this isnt a college question i just need help cause im du mb
Answers
4/36
Explanation:
There are 6 numbers and if spines twice other 6, if these are multiplied with each other there will be a total of 36 products or probabilities.
On total there are four 12
2 x 6
3 x 4
4 x 3
6 x 2
The probability that the product of the numbers spun is 12 is \(4\div 36\)
Calculation of the probability:Since The spinner shown has six equal-size sections and is spun twice.
So, here there are 6 numbers and if spines twice other 6, if these are multiplied with each other there will be a total of 36 products or probabilities.
And, On total, there are four 12
\(2 \times 6\\\\3 \times 4\\\\4 \times 3\\\\6 \times 2\)
So, the probability is \(4\div 36\)
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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what is the greatest factor of 2/4 equal to
Answers
Answer:
The greatest common factor is 2
Step-by-step explanation:
2= 1,2
4=1,2,4
they all share 2 GCF
Find the coefficients of the polynomial with a leading coefficient of: one, and roots: zero, nine, and nine.
x^3+__x^2 +81x+__
Answers
\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)
Sam bought 9 ounces of cheese for $3.24. Joe bought 7 ounces of cheese for $3.22. Who got the best deal?
Answers
Answer:
Sam
Step-by-step explanation:
how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
Answers
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Answers
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
Assume lines that look tangent, are tangent.Find the value of x.(The ones that are crossed out don’t need answered)
Answers
Take into account that for secant and tangent lines related to circles, use the following formula:
x = 1/2·(larger arc - smaller arc)
Then, you have, for the first circle:
larger arc = 360° - 124° = 236°
smaller arc = 124°
x = 1/2·(236° - 124°)
x = 1/2·(112°)
x = 56°
For the second circle, the value of x is the same that the given arc:
x = 124°
For the fourth circle:
larger arc = 171°
smaler arc = 67°
x = 1/2·(171° - 67°)
x = 1/2·(104°)
x = 52°
For the fifth circle:
x = 1/2·(101° + 39°)
x = 70°
solve for x? please help ive been stuck on this for days.
Answers
Since EM is an altitude of triangle EAT, it forms a right angle with AT. So
25x - 10 = 90
Solve for x :
25x = 100
x = 4
Expanded form of 13.028
Answers
Answer:
Expanded form of 13.028
Step-by-step explanation:
13028/1000
.
Clearcut Lumber sells its dimensional lumber with a markup of 60%
a. What rate of margin do they use?
b. A batch of plywood sells for $500 what was the cost?
c. Fence posts with a cost of $10 would sell for how much?
d. The gross profit on the sale of some 4 by 4’s was $50 what was the selling price?
Answers
Answer:
c. Fence posts with a cost of $10 would sell for how much?
Step-by-step explanation:
thomas is sketching the graph of a quadratic function. he is asking his friends about how many x-intercepts his function can have. here is the feedback from his friends.
Allison says the graph can have 1 x-intercepts
Richard says the graph can have no x-intercepts
Linda says the graph must have two x-intercepts
Hope says the graph can have, at most 1 x-intercepts
How many of Tom's friends are right and why?
A: 0
B: 1; Linda is right because a quadratic graph has exactly two x-intercepts
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
D: 4; They're all right because the graph can have varying number of x-intercepts
Answers
Answer:
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
Allison, Richard, and Hope are right because the graph can have 0, 1, or 2 x-intercepts.
The correct option is C.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Allison is correct because a quadratic function can have one x-intercept if its vertex is on the x-axis.
Richard is correct because a quadratic function can have no x-intercepts if its vertex is above the x-axis.
Linda is incorrect because a quadratic function can have two x-intercepts, but it is not required to have them. It is possible for the vertex of a quadratic function to be on the x-axis, in which case it would have one x-intercept.
Hope is correct because a quadratic function can have at most one x-intercept if its vertex is below the x-axis.
Therefore,
Two of Thomas's friends (Allison and Hope) are correct in their statements.
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store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answers
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
Using the GCF what is the factored form of 18 F -45
Answers
Answer:
9(2f-5)
Step-by-step explanation:
the gcf of 18 and 45 is 9, so you divide 18 and 45 by it.
It took a car 4 days to travel 3827 miles. What was this car's average speed, in miles per hour?
Answers
Answer:
39.864
Step-by-step explanation:
24*4=96
1827/96
=39.864
If there was one government class, and Wes and Maureen were inthat class of 38 students, what would be the probability that bothWes and Maureen would be selected as the two students to go toWashington DC?
Answers
Probability of Wes and Maureen being sent to Washington DC from a class of 38
\(p\text{ = }\frac{2}{38}\)p = 5.26%
:
$ 3.64 + $ 94.28 + 87 ¢ what is the answer
Answers
Answer:
In Malawi is the net displacement of the kite 400m due North and then 300m due south and the other burden is on
Step-by-step explanation:
Zili ku Bunda and the other burden
the perimeter of a square room is 48m,how much square carpet is requried to cover it ?
Answers
Answer:
144
Step-by-step explanation:
perimeter of square=48 ( formula= 4*a )
a= 48/4
= 12
area= a*a
=12*12
=144
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
Answers
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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How many 7/8-teaspoon servings are in 1/4 of a teaspoon of sugar? Yor anwer needs to be in farction in simplest form.
Answers
Plz mark brainliest
Select the correct answer from each drop-down menu. Consider right triangle ABC. A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
Answers
We know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.
What are trigonometric ratios?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
We can use the following trigonometric ratios:
sin(A) = opposite/hypotenuse
cos(A) = adjacent/hypotenuse
In this case, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse:
opposite = BC = 9 units
adjacent = AB = 40 units
hypotenuse = AC = 41 units
Using these values, we can calculate the sine and cosine of angle A:
sin(A) = opposite/hypotenuse = 9/41
cos(A) = adjacent/hypotenuse = 40/41
Therefore, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.
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What is the measure of angle b?
A. 36 degrees
B. 63 degrees
C. 144 degrees
D. 180 degrees
Answers
Answer:
A - 36 degrees
Step-by-step explanation:
117 - 81, to find another angle when given the outside of the triangle and another part of the triangle, all you have to do is subtract
Sophia went out to dinner at an Indian restaurant. The total bill was $54. She wanted to leave a 15% tip. What was her total bill including her tip?
Answers
Answer:
$62.10
Step-by-step explanation:
Answer:
The tip is 8.10
The bill is 62.10
Step-by-step explanation:
There is a ratio of 5 apples to 3 pears in a basket. There are 24 pears in the basket. How many apples are in the basker?
Answers
Answer:
There are 40 apples in the basket.
This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.
I hope this helped you, have an amazing day! :)