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

Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning

Answers

Answer:

No

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Here (x + 2) with h = - 2 , then

f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8

       = - 8 - 7(4) - 4 - 8

      = - 8 - 28 - 12

     = - 48

Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)

For a system of linear equations, the solution for the system is__

Answers

For a system of linear equations, the solution for the system is____.

Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
Picture:

A pair of shoes sell for $75 from the manufacturing company. If the store sells the shoes for $150 dollars what is the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store?
Help

Answers

The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.

Given the following data:

Cost price = $75 Selling price = $150

To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:

First of all, we would determine the increase in price of this shoe:

[tex]Increase = selling\;price -cost\;price\\\\Increase = 150-75[/tex]

Increase = $75

For mark-up (percent increase):

[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]

Mark-up = 100%

Read more on mark-up here: https://brainly.com/question/25790940

Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?

Answers

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%

Answers

The final answer is 9 percent

-10x + y = 4
help i need the steps on how to solve this pls​

Answers

Answer:

slope = -10

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-10*x-y-(4)=0

1.1 Pull out like factors :

-10x - y - 4 = -1 • (10x + y + 4)

2.1 Solve -10x-y-4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y-axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -10x-y-4 = 0 and calculate its properties

Notice that when x = 0 the value of y is 4/-1 so this line "cuts" the y axis at y=-4.00000

y-intercept = 4/-1 = -4.00000

When y = 0 the value of x is 2/-5 Our line, therefore "cuts" the x-axis at x=-0.40000

x-intercept = 4/-10 = 2/-5 = -0.40000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is -24.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -24.000 - (-4.000) = -20.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -10

i hope this helps

Answer:

-10x+ y=4

-10x+y-4=0

10x-y+4=0

find the slope of the line 2y+5x=3​

Answers

Answer:

-5/2

Step-by-step explanation:

Turn the standard form into slope intercept!

[tex]2y+5x=3[/tex]

[tex]2Y=3-5x\\[/tex]

Now, lets isolate y

[tex]y=\frac{3}{2} -\frac{5}{2}x[/tex]

-5/2 is the slope

FAM I NEED YOU HELP POR FAVOR:
You purchase two bottles of sunscreen and a hat. The hat costs $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?

Answers

Answer:

I got you fam dont worry

Step-by-step explanation:

if you want me to show my work I dont mind at all but the answer is 4.50

b) the difference between three and x
Math

Answers

Answer:

  3 - x

Step-by-step explanation:

In math, "the difference between A and B" usually means ...

  A - B

In English, it often means ...

  |A - B| . . . . the positive difference

__

"The difference between 3 and x" can be written as the expression ...

  3 - x

What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?

'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.

A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise

Answers

Answer:

C) Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer: Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Took the test!

please answer, thank you in advance to whoever does !!!!

Answers

Answer:

B

Step-by-step explanation:

Move it down 3 units, then rotate it.

PLZ HELP!! I will give points!

Answers

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

Plz help with this question.If can't do it don't answer.

Answers

Answer:

the total surface area of this triangular prism is 976cm2

Answer:

i think TSA = 976 cm²

Step-by-step explanation:

TSA = 2(1/2×14×24) + (14+25+25)×10

TSA = 2(7×24)+(64×10)

TSA = 336+640

TSA = 976 cm²

I need help plzzzzz!!!!!!!!

Answers

Answer:

100.73

Step-by-step explanation:

Area of Rectangle=140

Area of Semi-Circle=39.27

Area of Rectangle-Area of Semi-Cirlce=100.73

Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?

Answers

Answer:

Expected score with 1 hour of homework

Step-by-step explanation:

Five Times the difference of a number and three is less than twice the number.
find the numbers?​

Answers

Answer:

The number is 5

Step-by-step explanation:

5(x - 3) < 2x

5x - 15 < 2x

-15 < -3x

5 > x

Answer:

It can be any negative number

Step-by-step explanation:

5(x - 3) < x

x = -1

5( -4) < -1

-20 < -1

You can do this with any negative number

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2

Answers

the answer is C!!!!!!!!!!!!

What is the percent of change from 46 to 69?

Answers

Answer:

percent of change =0.5

Step-by-step explanation:

x1=46 x2=69

(x2-x1) / x1

69-46 = 23 / 46 = 0.5

Plz answer ASAP. Find the volume of the same shape

Answers

Answer: 17m+19

Step-by-step explanation:

Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63

Answers

Answer:

$7.00

Step-by-step explanation:

$86+$12=$98

$98÷14=7

$ Judah left plus $ spent on cake
$86+12=$98
$98 earn last week

Total $ earn divide by total hours work
$98/14=$7

Judah’s hourly wage was $7.

hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0

solve the problem by dividing it into full squares:
x²-8x-8=0​

Answers

this will be the answer

1: x=-4 or x=-3 and the second can be shown clearly

if mp is p , price including VAT is q, discount amount is r and VAT amount is s ,then find the relation between them

Answers

hope you can understand

What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.

Answers

Answer:

2

Step-by-step explanation:

Is squirrel?
??????????????????????????????????????????????????????????????????????????????????

Answers

Answer: yes squirrel is ?????

write the equation of a line that passes through the points (-4,-7) and (-6,9)?

Answers

To solve this you need to use the formula: y2 - y1

                                                                          x2 - x1

9-(-7) over -6-(-4)

The answer would be -8.

Write all the factors of 9 . Use commas to separate them.rtth

Answers

Answer:

1, 3, 9

Step-by-step explanation:

the nine can be divided by those three numbers and no more

Answer:

1,3,9

Step-by-step explanation:

13. An amusement park drafting engineer must create a small
Ferris wheel with 12 cabs total, each equally spaced apart to
balance the wheel. How many degrees apart should each cab be?

Answers

Answer:

30 degrees

Step-by-step explanation:

a ferris wheel is a circle

the degree of a circle is 360

360/12=30

30 degrees each

Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?

Answers

In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:

5184000 possible ways

in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:

[tex]24*24*10*10*10*9=5184000[/tex]

See more about possibilites at brainly.com/question/488013

Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?

Answers

Answer:

$378.20

Step-by-step explanation:

9455 * .04 = $378.20

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