Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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 question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Find the value of X. Round to the nearest 10th
Answer:
Step-by-step explanation:
You have to use the tangent.
Tan(y) = opposite / adjacent
tan(10) = x / 500
tan(10) = 0.1763
0.1763 = x / 500
500 * 0.1763 = x
x = 88.1635
x = 88.2
The next day the gas tank in dad’s car holds 24 gallons. The gas tank in mom’s truck holds 50% less than that. How much gas does the truck’s tank hold?
24 gallons * 50%
24 gallons * .5
=12
24-12
= 12
thy answer is 12 .
Answer:
Mom's truck would hold 12 gallons.
Step-by-step explanation:
If you take 24 and divide it into 2 parts you would get your answer because 50% would be half of the whole number of that makes any sense
there are 38 students involved in planning the homecoming parade. of these students 15 are boys and 23 are girls. if two members are selected to lead the parade what is the probability that both are girls
Answer:
About 65%
hope this helps a little
What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?
Answer:
Step-by-step explanation:
(3-3)/(-4+7)= 0/3= 0
y - 3 = 0(x + 7)
y - 3 = 0
y = 3
what is the prime factorization for 900
Answer:
prime factors of 900 are 2,2,3,3,5,5
which is the same as 2^2×3^2×5^2
Simplify the expression.
(-0.75x + 6 ) + (5.5x + 7.4)
the angles between two hands of a clock 5 o clock is
Answer:
150 degrees
Step-by-step explanation:
each 10 minutes equals 30 degrees in a clock
Phil and Matt made a total of $72.00 selling the cookies. How many cookies
did Phil make and how many cookies did Matt make?
Answer:
36
Step-by-step explanation:
It would only be 36 if they split the amount though
Based on a linear equation, we will see that they sold a total of 288 cookies.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We have been given that Phil and Matt sell cookies for $0.25 each,
Thus, if they sell x cookies, the total revenue is:
R(x) = $0.25x
Now, we know that they made a total of $72.00,
Therefore, we need to solve the linear equation:
$0.25x = $72.00x
= $72.00/$0.25 = 288
Hence, they sold 288 cookies.
Learn more about linear equations:
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round $74.91 to the nearest dollar
Answer:$75
Step-by-step explanation:
Brhe
The area of a circle is 25.12 square yards. If the dimensions of the circle are tripled, what will be the area of the new figure?
1. 226.08 yd 2
2. 8.37 yd 2
3. 75.36 yd 2
4. 150.72 yd 2
Answer:
75.36
Step-by-step explanation:
if its 25.12 jus multiply it by 3 since its tripled
2(3x + 2) = 2x - 1+x.
Answer:
x = -5/3
Step-by-step explanation:
Hope this helps!
Best of luck!♥
A box contains 84 chocolates, of which
63 are dark chocolates. The rest are milk
chocolates. What is the ratio of milk
chocolates to the total number of chocolates
in the box?
Answer:
63:21
Step-by-step explanation:
i just know
help please, help me
Answer:
7.07 in^2 is what i got
What are the answers?
Answer:
Step-by-step explanation:
4(8x+16) = 32x + 64 = perimeter
(Sorry don't know what it means by factor)
Mark wants to buy a new pair of shoes that cost $95. He has $20 and plans to save $5 each week. How many weeks will it take him to save the money?
Answer:
it would take him 15 weeks
Step-by-step explanation:
cost of shoes= 95
he has 20 so 95-20= 75
he needs 75 more dollars so 75 divided by 5= 15 weeks
write an expression for the operation described below subtract v from 2
Answer:
2 - v
Easy method: plug in v with some other number and see how it rolls out
Answer:
Hi how are you doing today Jasmine
Do as many as you want.
Thanks.
Answer:
1. 11
2. 7.46
3. d = 28
4. I'm afraid I don't know how to solve this kind of problem.
5. -5
Step-by-step explanation:
1. 2 - (-3) + 6 = 5 + 6 = 11
2. 7.46 (5 and up round up)
3. d = 21 + 7
d = 28
5. -55 / 11 = -5
Hope that helps!
1. x - y + 6 = 2 - (-3) + 6 = 5 + 6 = 11
2. 7.46
3. d - 21 = 7
d = 28
4. 4/1
5. -5
A recipe calls for 12 cup of milk for every 34 cup of flour.
If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
68
Step-by-step explanation:
because she wants to double the recipe
so she will need 6 cups of milk
Figue out the measures
Answer:
Angle 1 is 134 and Angle 2 is 46
PLZ HELP I NEED IT ITS DUE AT 12:00
1. Which figure would you have used to make the Escher‐like tessellation shown below?
Answer:
I'm pretty sure the answer is B.
Step-by-step explanation:
Hope this helps u out!
what is the answer I need it urgently
Help please I really need help with this math problem it’s really difficult for me
Step-by-step explanation:
Q5
Supplementary angles add up to 180°∠EGF and ∠FGBQ6
Vertical angles formed by two intersecting lines and are opposite to each other∠EGF and ∠BGCQ7
Adjacent angles share a common side∠AGB and ∠BGCQ8
Complementary angles form a 90° angle∠BGC and ∠CGDQ9
Measure of ∠CGD
∠CGD is complementary with ∠BGC and
∠BGC is vertical with ∠EGF, which is 35°
m∠CGD = 90° - 35° = 55°Challenge The price of Stock A at 9 AM was $15.55. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $13.30. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
Try reading it pver. This is because they are too cashy. Like Duh
Step-by-step explanation:
If yall could help that would be poggers
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 8y +n + 9. Jake says that 8 is a coefficient and 9 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
Factor the following problem: 81x^4 - 49x^4 =
Answer:
a2 - b2 = (a - b) where a =9x and b = 7
(9x + 7) (9x - 7 )
Step-by-step explanation:
Quinn works at the Sugar Cup Café. This morning, she made the day's first batch of hazelnut coffee by mixing together 6 ounces of hazelnut syrup and 75 ounces of unflavored coffee. When it ran out in the afternoon, she made a second batch by mixing together 2 ounces of hazelnut syrup and 25 ounces of unflavored coffee. Which batch of coffee had a stronger hazelnut flavor?
Answer:
neither
Step-by-step explanation:
I had $13.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt, My Uncle and grandma gave me $100.00. I had another $7.00. How much did I have?
Answer:
Step-by-step explanation:
u had $13. ur mom gave u $10. ur dad gave u $30. ur aunt, uncle, and grandma gives u $100. u had another $7. u have a total of $160.
100 + 30 = 130 + 10 = 140 + 13 = 153 + 7 = $160Answer:
$360
Step-by-step explanation:
Start off with 13, add 10 makes it 23
23 + 30 = 53
Aunt, Uncle, and grandma each give you 100
100 x 3 = 300
300 + 53 = 353 + 7 = $360
In conclusion, your family spoils you
Which graph represents this exponential function? f(x)=3(2)^x-4
Answer:
here goes the graphs but we still need the answer
Step-by-step explanation:
We have given that the function,
f(x)=3(2)^x-4
Now we have to find the graph of the given function.
The graph of the given function is determined by
What is the exponential function?The exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change
here we use the graphical method
Put x=0 then y=-1
y=0 then the value of x=0.4.
We draw this function by using the graphing calculator then we get the graph of function is shown in fig.
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