Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
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]
Which of the following expressions represent a value greater than 4/5 ? A: 4/5 x 3/3. B: 4/5 x 1/2. C: 4/5 x 5/4 D: 4/5 x 4/5
Answer:
C = 1.
Step-by-step explanation:
A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.
B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.
C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.
D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.
Hope this helped!
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
Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193
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.
find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4
Step-by-step explanation:
[tex]x = 2[/tex]
[tex]y = - 2[/tex]
[tex]z = 4[/tex]
[tex] \: [/tex]
[tex] = 2xy + 3yz - xyz[/tex]
[tex] = y.(2x + 3z - xz)[/tex]
[tex] = y.(2x + z.(3 - x))[/tex]
[tex] = - 2.(2.2 + 4.(3 - 2))[/tex]
[tex] = - 2.(4 + 4.1)[/tex]
[tex] = - 2.(4 + 4)[/tex]
[tex] = - 2.8[/tex]
[tex] = - 16[/tex]
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.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Part A: Answer the following questions about the cost function C(2) and the revenue function R(x).
1. What is the domain and range of C (x)?
2. What is the meaning of the slope and intercept of C(x)?
3. At what production level 2 will the company receive the most revenue?
Part B. Answer the following questions about the profit function P(x).
4. Assuming that the company sells all that it produces, what is the profit function?
5. Why is finding the range of P(x) important?
6. The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
7. Can you explain, from our model, why the company makes less profit when producing 10 more units?
Solution :
a).
1. The domain of C(x)
[tex]$x \in [0, \infty)$[/tex]
Range of c(x) is [tex]$[0, \infty)$[/tex]
Since the negative value do not make any sense.
2. C(x) = Ax + b
Intercept here denotes the fixed cost (that is when x = 0)
The slope indicates the marginal cost (that is increase in cost per unit of quantity)
3. Revenue is maximum marginal revenue = 0
(that is when at the top of the parabola)
4. Profit = R(x) -C(x)
5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.
6 and 7 -- insufficient data.
d Problems
The enrolment of our school is 800. If 35 % are girls
a. What fraction are girls?
b. What fraction are boys?
Answer:
Step-by-step explanation:
g=800(0.35)=280
a. 280/800=7/25
b. 520/800=13/20
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 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:
round 5/8 to the nearest whole number
need help with this, ASAP
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.
Austin and Dale earn money by painting fences over the summer. Working alone, Austin takes 3 hours longer than Dale to paint a fence. Working together, the two of them can paint a fence in 2 hours. How many hours would it take each of them working alone?
Answer:
Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room
Step-by-step explanation:
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:))
a) Dati cinci exemple de numere intregi mai mici ca zero.
Answer:
Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.
Step-by-step explanation:
what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST
7/8 − 1/3 =
i need help
Answer:
Step-by-step explanation:
7/8-1/3=13/24
Answer:
13/24
Step-by-step explanation:
7/8 = 21/24
1/3 = 8/24
21/24 - 8/24 = 13/24
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]
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
Help me out plz geometry
Answer:
45°
Step-by-step explanation:
divide 90 by 2 see there is a right angle between them
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
The distance from Amy's house to Lake Ontario is 150 miles. On a map, it is 3 inches.
What is the scale used?
Answer:
50
Step-by-step explanation:
150 divided by 3 = 50
Please help marking brainliest if correct, serious answers only, thank you.
Solve x for -2x- 1 = -7
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
2. Hank used a semicircle, a rectangle, and a triangle to form the following composite figure. What is its area in square centimeters? Use 3.14 to approximate . Show your work.
Answer:
Step-by-step explanation:
The area of a circle is 3.14r^2
The area of the triangle is bh/2
The area of the rectangle is wh
A=3.14(5^2)/2+8(10)/2+5(20)
A=3.14(25)/2+40+100
A=179.25 cm^2
Answer:
Step-by-step explanation:
Area of rectangle = 5 × 20 = 100 cm²
Area of triangle = 0.5 × 10 × 8 = 40 cm²
Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²
Total area = 100+40+ 12.5π ≈ 179.25 cm²
2. A 30-foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21
feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
A. 51 square root 3
B. 9 square root 17
C. 3 square root 51
D. 21.42
Answer:
C
Step-by-step explanation:
Find the area of the kite.
Area=
(Simplify your answer)
simplify 7/341 and give step by step explanation! I will mark you a brainliest.
Answer:
it can't be simplified
Step-by-step explanation: