Answer and Step-by-step explanation:
Solution:
Given:
Let A is the event of a person over 50 diagnosed by health service.
B1 is the event that an adult over 50 actually has diabetes.
B2 is the event that an adult over 50 does not have diabetes.
P (B1) = 8% = 0.08
And P (B2) = 1 – P (B1)
= 1 – 0.08
= 0.92
Correctly diagnose of all persons with diabetes= 95%
P (A/B1) = 0.95
Incorrectly diagnose of all persons without diabetes= 2%
P (A/B2) = 0.02
(a) ) the community health service will diagnose an adult over 50 as having diabetes.
P (B1) P (A/B1) = (0.08) (0.95) = 0.076
P (B2) p (A/B2) = (0.92) (0.02) =0.0184
P (B1) P (A/B1) + P (B2) p (A/B2) = 0.076 + 0.0184
= 0.0944
(b) A person over 50 diagnosed by the health service as having diabetes actually has the disease.
By using formula:
P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)
Put all the given values:
= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)
=0.076 / 0.076 + 0.0184
=0.076 / 0.0944
= 0.8050
Using conditional probability, it is found that there is a:
a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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.Item a:
The percentages of a positive test is:
95% of 8%(have diabetes).2% of 92%(do not have diabetes).Hence:
[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]
0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
Item b:
Event A: Positive test.Event B: Has the disease.From item a, [tex]P(A) = 0.0944[/tex].
The probability of both a positive test and having the disease is:
[tex]P(A \cap B) = 0.95(0.08)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]
0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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Here is a system of equations: 7x-4y=-11
7x+4y=-59 would you rather use addition or subtraction to solve this system. Explain your reasoning.
Answer:
Addition
Step-by-step explanation:
Better to use addition since you already have a -4y and +4y. So if you add them together it will cancel out!
x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
We have a system of equations -
7x - 4y = - 11
7x + 4y = - 59
We have to investigate on the process of solving these equations.
What do you mean by System of Linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables.
According to the question, we have -
7x - 4y = - 11
7x + 4y = - 59
We would subtract second equation from first as follows -
7x - 4y - (7x + 4y) = - 11 - (- 59)
7x - 4y - 7x - 4y = -11 + 59
-8y = 48
y = - 6
therefore -
7x - 4y = - 11
7x - 4(- 6) = -11
7x + 24 = -11
7x = -11 - 24
7x = - 35
x = -5
Hence, x = -5 and y = -6.
We can use either of the addition or subtraction as both will involve the same process of solving the equation.
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3/8 is equal to
A) 0.222
B) 0.375
C) 0.444
D) 0.666
Answer:
B 0.375
Step-by-step explanation:
Google told me that 3/8 of a whole is 0.375
Answer:The anwser is B 0.375
Step-by-step explanation:
3 dived by 8 is 0.375
Which table represents a function?
Answer:
B
Step-by-step explanation:
Which number is greater than the absolute value of LaTeX: -\frac{3}{8}− 3 8?
Answer:
0.5
Step-by-step explanation:
We have to find a number which is greater than the absolute value of -3/8.
Absolute value of -3/8 = 3/8
3/8=0.375
Now, we have to find a number which is greater than 0.375
1/4=0.25
0.25 is smaller than 0.375
0.5 is greater than 0.375
also -5/8 and -1/8 are less than 0.375
Hence, the only number which is greater than the absolute value of -3/8 is:
0.5
Step-by-step explanation:
A car travels 100 km with 9.8 liters of gas. How much gas is required for a 1482 km trip?
Answer:
145.236 is required
Step-by-step explanation:
(1482x9.8)/100
1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
18 yd = 6 ft
O True
O False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It's the other way around. A yard is three feet.
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation.
Answer:
x-intercept: (-4,0)
y-intercept:(0,-2)
Step-by-step explanation:
Answer:
Blue dots are correct
Step-by-step explanation:
I took quiz
The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.
Answer:
784
Step-by-step explanation:
My bad don't know how to explain..
Which graph models a relationship with the same unit rate ?
kendsgkjdbgfz
Step-by-step explanation:
Solve for x in the figure below
5x+18
7x-14
Answer:
16 =x
Step-by-step explanation:
The angles are corresponding angles and since the lines are parallel, they are equal
5x+18 =7x-14
Subtract 5x from each side
5x+18 -5x=7x-5x-14
18 = 2x-14
Add 14 to each side
18+14 = 2x-14+14
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Answer: x=16
Step-by-step explanation:
make it an equation: the equation 5x+18=7x-14
then, solve for x.
steps :
1. add 14 to both sides to get 5x+32=7x
2. subtract 5x to both sides to get 32=2x
3. divide both sides by 2 to get 16=x
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of answer choices The graph is translated left 135 units. The graph is translated right 135 units. The graph is translated down 135 units. The graph is translated up 135 units.
The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two functions are
f(x) = 12x – 1,400 and
g(x) = 12x – 1,535
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
We need to find the transformation of the graph of f to the graph of g.
The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).
Hence, the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
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its a very long question to ask
Answer:
tell me bro i will answer the question
b. the results from both game a and game c align closely with the theoretical probability of winning those games while the results from game b don't
Which expression uses the associative property to make it easier to evaluate
14( 1/7• 2/5)
Step-by-step explanation:
Associative property is a(bc)=(ab)c
14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5
Answer: (14 x 1/7) 2/5
Step-by-step explanation: yes.
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
Select the correct answer.
What is the factored form of t6 − p3?
A. (t2 + p)(t4 − pt2 + p2)
B. (t − p)2(t2 − pt + p2)
C. (t2 − p)(t4 + pt2 + p2)
D. (t − p)2(t2 + pt + p2)
6y-2+x
I need Help Thursday 22 oct
Answer:
x+6y-2 is the simplfied answer
Step-by-step explanation:
Which function has a constant additive rate of chan of -1/4
Answer:
y -12 21 -1.5 -11 11 -2 -10 14 -2.5 -9 17 ?
Step-by-step explanation:
Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3
Answer:
It's 0.5x10^3
Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
Need help ASAP have 30 minutes
Answer:
1 box of paper will cost $7.25.
Step-by-step explanation:
14.50 divided by 2 is 7.25, therefore one box of paper will be 7.25
Use the Distributive property to find the product. 3x891=3(?-?)
Answer:
900,9
Step-by-step explanation:
distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673
What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.
Answer:
its c on edge
Step-by-step explanation:
restrict the domain to (-pi/2,pi/2)
The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)
In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.
A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.
Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].
Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
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please help and answer properly
Answer:
6. Ethan should shade the region marked B
7. No, point (0, 4) will not be included in the solution set
8. Point (0, -2) will not be included in the solution set
Step-by-step explanation:
Let us explain how to solve the question
The graph represents the equation 2x - 5y = 10
The inequality is 2x - 5y > 10
The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.
To find the area of the solution you must put y on a side and the other term on the other side
∵ 2x - 5y > 10
→ Add 5y to both sides to move y in the other side
∴ 2x - 5y + 5y > 10 + 5y
∴ 2x > 10 + 5y
→ Subtract 10 from both sides to move 10 to the other side
∵ 2x - 10 > 10 - 10 + 5y
∴ 2x - 10 > 5y
→ That means 5y < 2x - 10
∴ 5y < 2x - 10
6.
→ y < that means the area of the solutions is under the line
∴ The solutions of the inequality lie in area B
∴ Ethan should shade the region marked B
7.
∵ Point (0, 4) lies above the line in the region marked A
→ That means it does not lie in the area of the solutions
∴ Point (0, 4) will not be included in the solution set
8.
∵ Point (0, -2) lies on the line
∵ All the point on the line did not belong to the solution set as we
said before
∴ Point (0, -2) will not be included in the solution set
2 times what equals 84
Answer:
42
Step-by-step explanation:
Let x be the missing number in the equation
Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42
I hope this helps!
Please help what Is 4/5 divided by 2
Answer:
2/5
Step-by-step explanation:
Answer:
2.25 is your answer
Step-by-step explanation:
Which of the following is a cost homeowners insurance does not protect?
a. The cost of repair or replacement of a home lost in a natural disaster.
b. Additional living expenses required while your home is repaired after a disaster.
c. Replacement costs for all contents in your home, including high cost electronics.
d. The cost of medical expenses incurred by somebody getting injured on your property.
Answer:
Replacement costs for all contents in your home, including high cost electronics. In my case it was C on edge
Step-by-step explanation:
The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
What is insurance?Insurance is an arrangement by which a company or the state undertakes to provide a guarantee of compensation for specified loss, damage, illness, or death in return for payment of a specified premium.
here, we have,
Personal property replacement cost endorsement under her homeowners policy comes with limits of the policy that only covers insurance on replacement cost for structural damage and damages or loss of materials of similar kind and quality.
Some items such as art items, paintings, an antique chair, jewelry and collectibles are not usually listed in the policy contract except a scheduled personal property coverage is added to the Personal property replacement cost endorsement contract.
Therefore, from this question, The solution is, c. Replacement costs for all contents in your home, including high cost electronics, is a cost homeowners insurance does not protect.
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A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $14 to reach in and withdraw one bill. What is the expected value?
Answer:
13.20
Step-by-step explanation:
1/5 (1+5+10+20+100) - 14
The required expected value is 13.20.
A box contains bill of = $1, $5, $10, $20, and $100
It costs $14 to reach in and withdraw one bill.
Its estimated value of the variable in probability.
Expected value= mean - 14
= (1+5+10+20+100)/5 -14
= 13.20
Thus, the required expected value is 13.20.
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1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512
Step-by-step explanation
128 ounces in a gallon times that by 4. ====== ....... 512.
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