Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex] ......(1)
The P(positive) is,
[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]
[tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]
= 0.8041
Which angle is a corresponding angle to 8?
Answer:
angle 1 (the last option)
Step-by-step explanation:
hope this helps!
Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60
Answer:
Step-by-step explanation:
Your answer
Meal is 22$
10% tax, tax with price = 24.2$
She gave on tip = 4.84$
Total price = 29.04$
Mark it as Brainlist answer. Follow me.
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Add both distances together:
50 + 22 = 72 feet total distance.
BRAINLIEST + 25 POINTS
Part A: a^2 + 6 for a = 5
Part B: Show your work and/or explain how you arrived at your answer
Answer:
31
Step-by-step explanation:
Plug in 5 as a into the expression:
a² + 6
(5)² + 6
25 + 6
= 31
So, the answer is 31 when a = 5
substitute a=5 into the equation.
5²+6
25+6=31
hope that helps^^
this year cornells class took one more than 3 times as many field trips as last years class this year cornells class took a total of 7 trips how many trips did his class take last year
Answer:
ten may be if it is incorrect forgive me
Can someone help me with these 4 problems A B C D zoom in if needed this is urgent
Answer:
A is 13
B is 5
C is 0.25
And D is 4.58 or 4.6
Good Luck!
Answer:
A) 0.2 + 7.9 + 3.8 + 1.1 = 13
B) -5.6 + 5 + 4.6 + 1 = 5
C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4
D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6
Step-by-step explanation:
A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13
B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5
C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4
D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6
which expression represents the product of 83 and x
83+x
83÷x
83x
83-x
a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent
Answer:
Probability = 0.088 ie 8.8%
Step-by-step explanation:
P (I) = 40% = 0.4
P (L) = 35% = 0.35
P (C) = 25% = 0.25
P (EV / I) = 40% = 0.4
P (EV / L) = 75% = 0.75
P (EV / C) = 65% = 0.65
P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]
[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)
[(0.4) (0.4)] / [ 0.4 + 0.75 + 0.65 ]
0.16 / 1.8
= 0.088 ie 8.8%
if root x+9=root 784, the value of x
Answer:
on squaring complete term
x + 81 = 784
x = 784 - 81
x = 703
Step-by-step explanation:
Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.
Answer:
possible answer: 44- parent/ 14 yrs old daughter.
Sorry if i'm wrong
Step-by-step explanation:
Jeff Bezos, who owns Amazon, has a net worth of approximately $143.1 billion (as of mid-2018). An employee in the Amazon distribution center earns about $13 an hour. The estimated lifespan of the employee is 71 years. If the employee worked 24 hours a day, every day of the year from the moment of his birth, how many lifespans would it take for him to earn wages equivalent to Jeff Bezos' net worth? Round the answer to the nearest whole number.
Answer:
Lifetimes=17,698.39
Step-by-step explanation:
The number of hours, H, in the employee's lifetime is
H=24(365)(71)=621960
At 13/hour, this is lifetime wages of
13(621960)=8,085,480
Divide this into 143,100,000,000 to get
Lifetimes=17,698.39
Note that this does NOT imply that the employee is underpaid.
rename 2 6/12 as a mixed number with a fraction greater than 1.
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46
Answer: D) 46
===========================================================
Explanation:
We have these 8 given facts
N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.
Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.
Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.
Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.
If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.
---------------------------
So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17
In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.
From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.
The last value to fill in is the 36 from fact 8. This goes outside all of the circles.
The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.
---------------------------
Using that diagram of filled in values, add up every number written down:
17+9+39+12+10+36 = 123
We have 123 items so far in the universal set
We're told that n(U) = 147, meaning there are 147 items total in the universal set.
This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.
That 24 adds to the other numbers inside circle C to get to the final answer
12+10+24 = 46
Choice D is the answer.
Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.
4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is
1.1. What is the earned value of the project at Week 8?
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
What is the difference between |-3|and -3?
Answer:
c vbnnbvgh3456789okjhgc
Step-by-step explanation:
Answer:
the difference between |-3| and -3 is -3 because |-3| is actually 3... when a negative number is one these lines | | such as |-3| it becomes positive.
Step-by-step explanation:
so the difference between 3 and -3 is -3
your answer is -3
hope this helps!!!
#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 1 -Xt 3 1 = } 2x+5 o 2 o 3 6 O 12
Correct question is;
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 – ¾x + ⅓ = ½x + 5
Answer:
12
Step-by-step explanation:
We are given the equation as;
6 – ¾x + ⅓ = ½x + 5
In order to find out the number that each term can be multiplied by, we will need to express each denominator as a product of its prime factors to find the lowest common factor.
Thus;
Factors of 4 = 1 × 2 × 2
Factors of 3 = 1 × 3
Factors of 2 = 1 × 2
Thus, LCF = 1 × 2 × 2 × 3 = 12
Which angles are complementary to each other?
5
25 and 23
25 and 24
21 and 22
21 and 24
What is the average rate of change in temperature from February to May?
Answer:
27 degrees
Step-by-step explanation:
Perform the operation.
(6x2 – 5x) – (10x² + 8x – 8)
HELP ASAP PLS
M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?
Answer:
Step-by-step explanation:
Compare coordinates of S and M
difference in x-coordinates = 4-6 = -2
difference in y-coordinates = 2-1 = 1
x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2
y-coordinate of R = y-coordinate of M + 1 = 3
R(2,3)
MATH HOMEWORK WHO CAN ANSWER
Answer:
its the 3 one
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
A. [tex] \angle 4 \: and \angle 6[/tex] - - - (same side interior angles)
B. [tex] \angle 5 \: and \angle 8[/tex] - - - (vertical angles)
C. [tex] \angle 2 \: and \angle 6[/tex] - - - (corresponding angles)
D. [tex] \angle 4 \: and \angle 5[/tex] - - - (alternate interior angles)
The paved area is a square with sides 2 m long.
The paving stones for this area are squares that measure 50 cm by 50 cm
How many paving stones are needed?
Answer:
Step-by-step explanation:
2 meters = 200 cm
200 cm × (1 block)/(50 cm) = 4 blocks
4 blocks by 4 blocks = 16 blocks
Answer:
16 paving stones
Step-by-step explanation:
1 m = 100 cm
The square has sides 200 cm long
Its area is 200(200) = 40000 sq cm
Each paving stone has an area of 50(50) = 2500 sq cm
So 40000/2500 = 16 paving stones
cinco ejemplos de incremento
Answer:
Ejemplos de incremento matemático que pueden ocurrir son:
-Suma: se adiciona una cantidad adicional a otra previamente existente. Ejemplo: 5 + 2 = 7, donde 5 es la cantidad inicial, y 2 es la cantidad adicional, sumando 7 como cantidad final.
-Multiplicación: aquí se adiciona el mismo número inicial tantas veces como su multiplicador indique. Ejemplo: 5 x 3 = 15, donde el número inicial 5 es sumado 3 veces (5 + 5 + 5) para dar un total de 15.
-Potenciación: en este caso se multiplica el mismo número por sí, por la cantidad de veces que indique el número potenciador. Ejemplo: 7^2, donde 7 es multiplicado por 7 dos veces, es decir, 7 x 7, cuyo resultado es 49.
Así, cinco ejemplos de este tipo de operaciones pueden ser:
6^3 = 216
4x4 = 16
25+90 = 115
77 + 2x8 = 93
88 + 14 = 102
five more than three times a number is six less than twice the number. find the number
Answer:
2
Step-by-step explanation:
6x-3=5+2x
-2x on both sides
4x-3=5
+3 on both sides
4x=8
divide 4 on both sides
x=2
Ms. Halloween works in a factory. She receives a salary of $9.10 per hour and piecework pay of 15 cents per unit produced. Last week she worked 40 hours and produced 988 units. a. What was her piecework pay? What was her total hourly pay for the week? What was her total pay for the week? b. If her boss offered to pay her a straight $13 per hour and no piecework pay for the week, would she earn more or less than under the piecework pay system? c. What would her total weekly salary have been if she produced 0 units?
Answer:
1065.1
Step-by-step explanation:
Part a:
1. Halloween's piecework pay = $148.20
2. Halloween's total hourly pay for the week = $364
3. Halloween's total pay for the week = $512.20
Part b:
Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.
Part c:
Halloween's hourly pay for 0 units production = $364
What is a salary?
Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.
For the given situation,
Halloween's salary received per hour = $9.10
Halloween's piecework pay per unit = 15 cents
Total work per week = 40 hours
Total unit produced per week = 988 units.
Part a:
1. Halloween's piecework pay = [tex](988)(15)[/tex]
⇒ [tex]14820 cents[/tex]
we know that $1 = 100 cents
⇒ [tex]\$148.20[/tex]
2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]
⇒ [tex]\$364[/tex]
3. Halloween's total pay for the week = [tex]364+148.20[/tex]
⇒ [tex]\$512.20[/tex]
Part b:
Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.
Total amount received for the week = [tex](40)(13)[/tex]
⇒ [tex]\$520[/tex]
Difference in pay = [tex]520-512.20[/tex]
⇒ [tex]\$7.80[/tex]
Thus, she earns more when she get the straight salary on hourly basis.
Part c:
If her production is 0 units, then she might get her hourly pay only.
⇒ [tex](40)(9.10)[/tex]
⇒ [tex]\$364[/tex]Hence we can conclude that
Part a:
1. Halloween's piecework pay = $148.20
2. Halloween's total hourly pay for the week = $364
3. Halloween's total pay for the week = $512.20
Part b:
Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.
Part c:
Halloween's hourly pay for 0 units production = $364
Learn more about salary and wages here
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(2x+y=-2
5x + 3y = -8
Solve by elimination
Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?
A. 1/3
B. 3/2
C. 1/4
D. 1/6
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5