1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?
Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.
Conditional Probability
[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 problem:
Event A: Positive test.Event B: Body attempting to reject the kidney.The percentages associated with a positive test are:
80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).Hence:
[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]
The probability of both a positive test and the body attempting to reject the kidney is:
[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]
0.7921 = 79.21% probability that the body is attempting to reject the kidney.
A similar problem is given at https://brainly.com/question/25553471
100.00 decreased by 20%
Please help
Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value
Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
In grade 10, the ratio of boys to girls is 2: 3. There are 75 girls. How many are boys?
HELP PLEASE .. I WILL GIVE A BRAINLIEST !
Answer:
150
Step-by-step explanation:
The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.
So, to find the answer, you must multiply 75 by 2, which is 150.
You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.
positive and negative relationships are both examples of linear relationships
A. True
B false
Answer: A. True.
Step-by-step explanation:
A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.
Find the value of x.
(8x + 2)°
60°
Y
70°
Z
Here according to angle sum property all angles sum u up 180°
So,
[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]
- BRAINLIEST answerer
You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?
Answer:
$2,100
Step-by-step explanation:
'regular' pay is 375/10 or $37.50 per hour
'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour
'double time' would be (2)37.50 = $75.00
35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'
so:
(7)75 + (28)56.25 = 525 + 1575
Total overtime pay for 2-week period is $2,100
Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.
Answer:
1/2
Step-by-step explanation:
b is directly proportional to h.
b = kh
take any (h, b) point
using (28, 14)
14 = k(28)
Divide both sides by 28
1/2 = k
1/2
Find the slope (show your solution)
y=4x+5
please help me to answer this i really really need it
URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?
Answer:
5.5 hours
Step-by-step explanation:
time = distance/speed
t = 330/60
t = 5.5 hours
What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place
Answer:
763.4 ft^3 to the nearest tenth.
Step-by-step explanation:
The base radius = 1/2 * 18 = 9 ft.
The volume = π r^2 h
= π * 9^2 * 3
= 763.407 f^3.
Express 0.03 as a percentage of 1
Answer:
3%
Step-by-step explanation:
[tex] \frac{0.03}{1} \times 100[/tex]
0.03=3/100 So
[tex] \frac{3}{100} \div 1 \times 100[/tex]
=3%
S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?
PLEASE HELP WITH THIS QUESTION
Answer:
Heigh <= 63
Width <= 56
Length <= 61
Step-by-step explanation:
Height: x+7
Width: x
Length: x + 5
(x + 7) + (x) + (x + 5) <= 180 cm^3
3x + 12<= 180
3x <= 180-12
x <= 168/3
x <= 56
simplify 5 − 2(2.5 − 6.7)^2
Answer:
-30.28
Step-by-step explanation:
Devaughn's age is two times Sydney's age. The sum of their ages is 21. What is Sydney's age?
Answer:
The age is 7
Step-by-step explanation:
Devaughn's age is two times Sydney's age
and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)
Therefore 3X=21
Rearranged is X= 21 divide 3
Therefore Sydney’s age is 7
Please help
Solve.
(5√5)^−2x+1 = 1/5 ⋅ 125^x−3
Enter your answer in the box. Enter any fraction as a simplified fraction.
Step-by-step explanation: (5√5)−2x+1=
1
5
(125x)−3
0.008x+1=
1
5
(125x)−3
Step 1: Flip the equation.
1
5
(125x)−3=0.008x+1
Step 2: Add 3 to both sides.
1
5
(125x)−3+3=0.008x+1+3
1
5
(125x)=0.008x+4
Step 3: Divide both sides by 1/5.
1
5
(125x)
1
5
=
0.008x+4
1
5
125x=0.04x+20
The value of x is 46.
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.
Given:
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]
ow, using exponents and powers
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]
[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]
[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]
[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]
Now, Comparing
-x+ 3/2 = 3x- 10
-x - 3x = -10 - 3/2
-4x = -23/2
x= 46
Hence, the value of x is 46.
Learn more about Exponents and powers here:
https://brainly.com/question/15722035
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Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)
Answer:
10
Step-by-step explanation:
The value of P(x<6) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.
So, P(x<6)
= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)
= 1/10 + 1/10+ 1/10 + 1/10 + 1/10
= 5/10
= 1/2
Learn more about Probability here:
https://brainly.com/question/30034780
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Point-Slope Form of a Line
find the inverse of the function F(x)=x-3
Answer:
f¹(x) = x - 3
To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.
Rewrite the function f(x) = x + 3
as the equation y = x + 3
Trade x and y.
x = y + 3
Solve for the "new" y.
= y + 3
3 - 3
Subtract 3 from both sides
y = x= 3
The symbol for the inverse is f-¹(x)
f¹(x) = x - 3
Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
which could be the function graphed below ??
Answer:
D [tex]\sqrt{x+4}[/tex]
Step-by-step explanation:
The difference of twice a number and 7 is 20. Find the number.
Answer:
twice the difference gives 2(difference). 7 = 14 20 = 40
Step-by-step explanation:
28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?
Answer:
$ 1.94
Hope I helped
What is the equation of this line in standard form?
6x−7y=11
6x−7y=−11
7x−6y=11
6x−5y=−13
9514 1404 393
Answer:
(b) 6x −7y = −11
Step-by-step explanation:
Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...
a) 11/-7 = -1 4/7
b) -11/-7 = 1 4/7 . . . . possible candidate
c) 11/-6 = -1 5/6
d) -13/-5 = 2 3/5
The only y-intercept that matches the graph is the one for equation ...
6x -7y = -11
_____
You can use any of several other strategies to verify this choice:
1) Putting the given point values into the equation:
for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes
for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes
__
2) Finding the equation from the given points.
m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7
Then the point-slope equation is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-1) = 6/7(x -(-3)) . . . . . substitute known values
7y +7 = 6x +18 . . . . multiply by 7, simplify
6x -7y = -11 . . . . . . . add -18 -7y to both sides
Alguien me puede ayudar en esta tarea por favor la necesito para mañana
La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :
R = [tex]\sqrt{x^{2}+16x+64}[/tex]
A line has a slope of 5 and passes through the point (1,5). What is its equation in
slope-intercept form?
Answer:
[tex]y=5x[/tex]
Step-by-step explanation:
Insert the information into the point-slope formula to find slope-intercept form.
[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]
You buy a $266,000 home.with. a.down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment mortgage amount
A basket containing 150mangoes cost 450 find the selling price of an orange if it is to be sold at a profit of 5%
Answer:
The selling price cost 472.5
Step-by-step explanation:
Let's find the profit first.
To find that, let's turn 5% to decimal form.
5 % = 0.05
Then, lets multiply it to the initial price which is 450
450 * 0.05 = 22.5
So the profit costs 22.5
Now, let's add the profit to the initial cost to find the selling price
450 + 22.5 = 472.5
That's it.
does anybody know this?
Answer:
8 5/9
Step-by-step explanation:
6 1/3 + 2 2/9
Get a common denominator of 9
6 1/3 *3/3 + 2 2/9
6 3/9 + 2 2/9
8 5/9
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
I need the answer and how you done it please
Answer:
x=11/17
Step-by-step explanation:
determine the defined range
11/x 17
11/x =17 then x is canceled out
11=17x
17x=11 dividing both sides
x=11/17