This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165

This Year The CDC Reported That 30% Of Adults Received Their Flu Shot. Of Those Adults Who Received Their

Answers

Answer 1

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).65% of 70%(did not get the shot).

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer 2

Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust


Related Questions

Need help NOW on HS geometry

Answers

It would be A) 13 because 7 (13) - 1 = 90 and that angle is 90 degrees

BRAINLIEST
Please do one or more questions

Answers

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

What is the value of 24 + 32 - 52

Answers

The answer to you question is 4

What is 87 x (495 - 475) + 1084 - 864

Answers

Answer:

1960

Step-by-step explanation:

First, carry out the operation inside the parentheses: 495-475= 20. Next, follow the order of operations and do 87*20= 1740. Then, go from left to right, adding 1740 + 1084= 2824. Now, subtract all of that by 864. 2824-864= 1960.

Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.

Answers

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

h(x) = 4x

For instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?

Answers

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?

Answers

Answer:

The total cost would be $645.75

Explanation:

Multiply $15.75 by 3
41

X=-2y,x-y=6 solve by substitution show all work

Answers

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?


Answer:

gigabytes

gigabytes

Answers

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened her account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?

Answers

The answer is 16,240

I just timed 4% to 1 thousand which got me 40. I added 40 to a thousand. Then timed 1040 to 6 which got me 6240. I added 6240 to 10 thousand to get 16,240.

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

The amount in the account at the end of 6 quarters is approximately $16,767.2

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

Learn more about compounding interest rate here:

https://brainly.com/question/8806008

Write a quadratic function f whose zeros are 5 and -2

Answers

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by

910+(−710)+810+(−610)+⋯+310+(−110)+210.

How much water is in the tank after 15 days? Write your answer as a decimal.

Answers

Answer:

ililil

Step-by-step explanation:

Lillian multiplies two numbers as follows: A Times. B = C. Given that A has five significant figures and two decimal places and B has six significant figures and four decimal places, which equals the number of significant figures in C? two four five six.

Answers

The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Given :

Lillian multiplies two numbers.A has five significant figures and two decimal places and B has six significant figures and four decimal places.

The following steps can be used in order to determine the total number of significant figures of C:

Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.

Step 2 - It is also given that C is equal to A times B.

Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11904364

Answer: c

Step-by-step explanation:

Name the solution
A.
(2, -3)
B.
(3, 2)
C.
(3, -1)
D.
(0, -2)

Answers

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

What percent of the model is shaded green?

(answer quick please)

Answers

Answer:

30%

Step-by-step explanation:

3 rows out of 10 are shaded green. 3/10 is 30%

Answer:  30%

Explanation:

Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.

If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%

5x-6>1+2(4x+1)

I need answers now please and an explanation

NO BOTS I HAVE NO TIME FOR THEM

Answers

Answer:

-3

Step-by-step explanation:

I just need 20 characters to help out so yeah

Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

C.
Find the 4th term in the expansion of (y + 2)

Answers

what is the binomial raised to? you can’t do this problem without it

(5a^3-2)(5a^3+2) expand and combine like terms

Answers

Step-by-step explanation:

(5a³-2)(5a³+2)

5a³×5a³+ 5a³×2 - 2× 5a³+ 5a³×2 5a³+10a³- 10a³ + 10a³5a³+10a³ + 10a³-10a³15a³ Answer

How i can answer this question

Answers

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 914.25 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

PLEASE HELP!!
This is worth 20 points please help me!

Answers

If it’s worth 20 why you just giving 5 points boo

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

Answers

Answer:

tha.nks for the p.oints buddy!

in what step did audrey make her mistake in ​

Answers

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

please help!!!!!


Solve.

−4/9x+2.4=6

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =

Answers

-8.1

Step-by-step explanation:

[tex] \frac{ - 4}{9} x + 2.4 = 6[/tex]

Times all by 9 to get rid of fraction

[tex] - 4x + 21.6 = 54[/tex]

Take 21.6 away from both sides

[tex] - 4x = 32.4[/tex]

Divide by -4

[tex]x = - 8.1[/tex]

Answer: -8 1/10

Step-by-step explanation:

I need help on this question
3n + 2 = 17

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Question:-

Solve : 3n + 2 = 17

Answer:-

n = 5

Explanation:-

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

P = x y . Find P when: x = 8 and y = − 11

Answers

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

P= -8 which is the correct answer

Please answer fast this is due soon

Answers

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

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

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

Jenny asked 48 classmates whether they prefer granola bars over muffins. she used a calculator to compare the number of classmates who said yes to the total number she surveyed. The calculator showed the result as 0.66666667.

PART A: Write this number as a fraction.

PART B: How many students prefer granola bars over muffins.

Answers

A) The number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

B)  32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

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