It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or 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). What is the probability that an athlete tests negative and is not a user of an illegal drug
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
Solve the equation 6x = 72 for x.
x=
Answer:
12
Step-by-step explanation:
you have 72 and 6
72 divided by 6 equals 12.
12 x 6 = 72
12 = x
What is the answer to this how to work it
9514 1404 393
Answer:
(A) -7
Step-by-step explanation:
The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.
x^2 +2 = 6x +k . . . . . must be true at x=3
3^2 +2 = 6(3) +k . . . . substitute 3 for x
9 +2 -18 = k . . . . . . . . subtract 18
k = -7 . . . . . . . simplify
Santa and Mrs Claus are eating cookies santa ate 10/20 of the cookies and Mrs Claus ate the rest what fraction did Mrs Claus eat ?
Answer: 10/20 or 1/2
Step-by-step explanation:
10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half
Santa ate 10/20. right?
so you would subtract 10 from 20
which would give you 10
so Mrs. Claus also ate 10/20
-----
Another way to solve:
since 10/20 = 50%
Mrs. Claus ate the same amount
because 50% is half of 100% ( 1 whole )
So, Mrs. Claus ate 10/20
john bought 120 jars of honey to the farmers market. he sold 2/3 of the jars on sunday.how many jars are left to sell on sunday
Answer:
The answer is 80. If you multiply 40 x 3 it is 120 and 40 x 2 is 80 so 2/3 of 120 is 80 NOT 40
start at 4. Create a pattern that adds 3 and subtracts 1 from the number to create the next number, Stop when you 5 numbers.
Answer:
6 8 10 12 14
Step-by-step explanation:
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
Which of the following is a quadratic equation whose roots are 3 and -1?
Answer:
JK up FMyRick they rock TBD Trinity scrump TV TM in
URGENT! Please answer!
Answer: 22/3
Step-by-step explanation:
So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.
The common denominator of the two would be 6.
[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]
Add the 27/6 to both sides
[tex]\frac{11}{6}=\frac{1}{4}x[/tex]
Divide the 1/4 to both sides
[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]
Simplify the expression. -10 + (-5w) + (-3W) + 12w
Answer:
so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned
4 2/3 = 5 − 1/3
true or false
Answer:
true
Step-by-step explanation:
take away 1/3 from 5 and you get four and a third
A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2
Which is the mean absolute deviation of the number of goals?
Answer:
3.3
Step-by-step explanation:
Which are corresponding angles
Answer:
oposite to its angle when they are parallel
Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis
Please help! I don’t understand!
A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
Simon's monthly take-home pay after taxes) is $2100. If he pays 22% of his gross pay (before taxes) in tax, what is his gross pay?
Simon's gross pay is $
(Round to the nearest dollar as needed.)
Answer:
[tex]approximately \: 2692 \: dollars[/tex]
Step-by-step explanation:
[tex]2100 = x \times 0.78[/tex]
We take both sides divided by 0.78
[tex]2100 \div 0.78 = x \\ 2692 = x \\ x = 2692 \: dollars[/tex]
What is the correct answer?
What is the simplest form of the quotation simplify by rationalizing the denominator
Answer: below
Step-by-step explanation:
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
Kuta software - Infinite Algebra 1
Solving System of Inequalities
Sketch the solution to each system of inequalities.
Answer:
y
≤
−
x
−
2
(1)
y
≥
−
5
x
+
2
(2)
First graph the 2 linear functions by intercepts:
a. y1 = - x - 2
Make x = 0 --> y-intercept is -2
Make y = 0 --> x-intercept is - 2
b. y2 = -5x + 2
Make x = 0 --> y-intercept is 2
Make y = 0 --> x-intercept is
2
5
Graphically solve the 2 linear inequalities (1) and (2).
The solution set of (1) is the area below the line y1. Color it.
The solution set of (2) is the area above the line y2. Color it.
The combined solution set of the system is the area commonly shared by the 2 above solution set areas.
graph{-x - 2 [-10, 10, -5, 5]}
graph{-5x + 2 [-10, 10, -5, 5]}
What is the height of a triangle, if the area is 20 square inches and the base is 5 inches? Be sure that you can explain how you found your answer.
so normally we would be finding the area of a triangle which is a=h*b/2
but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way
20=1/2(5)h
20=2.5
8=h
and to find out if that was correct lets do 8*5=40 40/ 2 =20 so this is correct
the height is 8
Answer:8
Step-by-step explanation:
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
Which letter is it??
reeeeeeeeeeeeeeeeeeeeeeee
According to exponent rules, when we multiply powers we______
the exponents.
Pick one-
divide
add
multiply
subtract
Answer:
Add
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
80
Step-by-step explanation:
because T to R is 80 too
Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35
Answer:
40
Step-by-step explanation:
100/2.5=40
helpppp it’s dueee rnnnn
Answer:d and a
Step-by-step explanation:
what does the denominator of 3/2 mean?
Hello!
The denominator is like the number under the line. So in this case, 2 would be the denominator.
~Sophia
21 − 3 ) ÷ 32 =
72 × ( 6 ÷ 3 ) =
17 + 15 ÷ 3 − 24 =
( 8 + 56 )÷ 4 − 32 =
Help needed today plsss
Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2
Step-by-step explanation:
Hope this helps
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be temperature outside plane located at 3 miles above the airport
Answer:
The outside plane located at 3 miles above the airport is of -3.6 degrees.
Step-by-step explanation:
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.
This means that the temperature in n miles above ground is given by:
[tex]T(n) = 12 - 5.2n[/tex]
What would be temperature outside plane located at 3 miles above the airport
This is T(3). So
[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]
The outside plane located at 3 miles above the airport is of -3.6 degrees.
PLEASE HELP GIVING OUT BRAINLEST
A 21-foot ladder is leaning against the side of a building and is positioned with its base 10 feet from the building. How far above the ground does the top of the ladder touch the building? Round your answer to the nearest foot.
