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
Answers
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:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
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Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
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?
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Answer:
$378.20
Step-by-step explanation:
9455 * .04 = $378.20
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Step-by-step explanation:
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Step-by-step explanation:
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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?
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Answer:
Expected score with 1 hour of homework
Step-by-step explanation:
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.
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The final answer is 9 percent
I need help plzzzzz!!!!!!!!
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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
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
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-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
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%.
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
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!
For a system of linear equations, the solution for the system is__
Answers
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:
Is squirrel?
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Answers
Answer: yes squirrel is ?????
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
Multiply. −5/6⋅27
A. −67 1/2
B. −32 1/4
C.−22 1/2
D.−18 1/2
Answers
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
$86+12=$98
$98 earn last week
Total $ earn divide by total hours work
$98/14=$7
Judah’s hourly wage was $7.
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:
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
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.
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
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 = $150To 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
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
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
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:
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
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)
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