GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.
Solution :
Drug : Drug user
T : Test positive
a). [tex]P(D) =0.36[/tex]
[tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]
[tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]
b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]
[tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]
= 0.5904
c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]
[tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]
[tex]$=0.15625$[/tex]
Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193
Solve for x 4(2x+3)
I’ll mark brainlyest
Answer:
=2x5+3x4 plus brainliest please
Step-by-step explanation:
=(x4)(2x+3)
=(x4)(2x)+(x4)(3)
=2x5+3x4
Answer:
You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
8x + 12
Ann's grade is the average of four scores: three chapter tests and a final
that counts as two chapter tests. She scored 72, 90, and 75 on the chapter
tests. What score does she need on the final to have a grade of at least 80?
Answer:
f = 81.5
Step-by-step explanation:
hello!
to be able to find the score she needs to have a final grade of at least 80, we use the following equation:
[tex]\frac{72+90+75+2f}{5}=80[/tex]
To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:
237 + 2f = 400.
Transpose, then simplify.
2f = 400 - 237
2f = 163
Divide both sides by 2 to isolate f:
f = 81.5
What is the volume of the triangular prism to the nearest whole unit.
Answer: 720ft
Step-by-step explanation:
15 x 3=45
45 x 16= 720
Hope this helps
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
6 grade math pls help and do step by step
Answer:
14
Step-by-step explanation:
13-2=11 then 11x 3 =33 then 33-25=8+=14
Answer:
Step-by-step explanation:
PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.
6+3(11)-5^2=?
Now that all the parenthesis are gone we move on to exponents.
6+3(11)-(5*5)=?
6+3(11)-25=?
Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.
6+33-25=?
The final step is to add and subtract from left to right.
Hope this helps!
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
pa^2 + qb^2 + pb^2 + qa^2
Answer:
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Pattern if decreasing perfect squares 121, 100, 81, __,49, 36 What number do you need to square to find missing term?
Answer:
8
Step-by-step explanation:
121 is 11^2, 100 is 10^2, 81 is 9^2, 49 is 7^2, and 36 is 6^2. 64 is missing in the pattern, and since each number is a perfect square, the number you'd need to square is 8.
1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply
Answer:
A polynomial is writen as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀
So we can only have positive integer exponents of x.
the coefficients "a" can be any real number.
Let's analyze the options:
1) Here we can see a term with "√x", remember that:
√x = (x)^(1/2)
This is not an integer exponent, then this is not a polynomial.
2) This is a polynomial.
3) Here we have the term "4/x"
This can be written as:
4/x = 4*x^(-1)
Then this is not a polynomial.
4) Here we have the term "5^x"
In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.
5) This is a polynomial.
6) Here we have the term " 2/x^2"
This can be written as:
2/x^2 = 2*x^(-2)
We have a negative exponent of x, then this is not a polynomial.
HELP ......,,,,,...,,.....
Answer:
6. Not similar.
7. Not similar.
8. Not similar.
Step-by-step explanation:
6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.
7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.
8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.
PS. It would mean the world to me if you could mark me brainliest!
Side note- I am not a professional, I just have done this a few months in the past! Best of luck!
what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST
Help me out plz geometry
Answer:
45°
Step-by-step explanation:
divide 90 by 2 see there is a right angle between them
round 5/8 to the nearest whole number
A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2
I still haven't reached that exercise, sorry
Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?
Answer: Derivative or y = mx + b
Step-by-step explanation:
Take the m value from the standard form equation:
y = mx + b
Or, the second way, is to take the derivative of the function and plug in your x value for your slope.
The derivative of a linear function is very easy to take, so it boils to preference
Please help marking brainliest if correct, serious answers only, thank you.
Bjorn wants to save $1,680 so that he can buy the car he wants. If Bjorn can save $15 per day, how many days will it take him to save enough money?
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
Divide 81/20 how to divide please give step by step explanation
Hi there!
[tex]81*20=4\frac{1}{20}[/tex]
Let see how much 20 goes into 80:
[tex]20,40,60,80[/tex]
That would be 4 time...
Subtract terms with terms:
[tex]81-80=1[/tex]
Remainder would be 1.
Convert term into fraction:
[tex]\frac{1}{20}[/tex]
Final Result:
[tex]4\frac{1}{20}[/tex]
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with additional costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?
Answer:
200 miles
Step-by-step explanation:
63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96
Answer:
your the one
Step-by-step explanation:
ajhayajsjsusudhdhdhxdhfd
Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48
Answer:
Step-by-step explanation:
i do not see any model, but the answer is
3/8*2/6=6/48
The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 3/8 times 2/6
Now, We can simplify as;
⇒ 3/8 times 2/6
⇒ 3/8 × 2/6
⇒ 6/48
Thus, The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
Learn more about the multiplication visit:
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Linear equations -5(-5x+3)-5x+5=-50
Answer:
x=-30
Step-by-step explanation:
25x+15-5x+5=-50
20x+10=-50
20x+10-10=-50-10
2x=-60
x=60/2
x=-30
Hope it helps!
(I tired hard:))
If it takes 30 apples to fill 2 boxes, how many apples are needed to fill 3 boxes?
Answer: 45 apples will be needed to fill 3 boxes
Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.
Answer:45 apples
Step-by-step explanation:
Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes
Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm
Answer:
B
Step-by-step explanation:
Answer:
b) 682.7
Step-by-step explanation:
4/3 π r3
1.33 x π x (8x8x8)
1.33 x 512 x π
681 . 9 π cm3 (round it to nearest tenth) = 682.7
7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.
Answer:
A
Step-by-step explanation:
Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.
What is walkway?In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.
In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.
Therefore, the correct option is option A.
To know more about walkway, here:
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Find the area of the kite.
Area=
(Simplify your answer)
3(6+b)-(2b +1)
Simplify the expression
Step-by-step explanation:
3(6+b)-(2b+1)
=18+3b-2b+1
=18+1+3b-2b
=19+b