Answer:
0.9378 = 93.78% probability that a randomly selected person has diabetes, given that his test is positive.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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 question:
Event A: Positive test
Event B: Person has diabetes.
Probability of a positive test:
0.95 out of 0.1(person has diabetes).
0.007 out of 1 - 0.1 = 0.9(person does not has diabetes). So
[tex]P(A) = 0.95*0.1 + 0.007*0.9 = 0.1013[/tex]
Probability of a positive test and having diabetes:
0.95 out of 0.1. So
[tex]P(A \cap B) = 0.95*0.1 = 0.095[/tex]
What is the probability that a randomly selected person has diabetes, given that his test is positive?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.095}{0.1013} = 0.9378[/tex]
0.9378 = 93.78% probability that a randomly selected person has diabetes, given that his test is positive.
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answer:
y-4=4(x-1)
Step-by-step explanation:
Write the equation in slop-intercept form and get the slope and point from the equationy=4x
The slope of the equation = m = 4
when x=1
y=4(1)
y=4
we get point from the equation which is (1,4)
Now we write the equation in point-slope form
point-slope formula = y-y₁=m(x-x₁)
*plot the the point we get and the slope in the formula above
= y-4=4(x-1)
An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
Given that, the perimeter of a square is four times the length of one side.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y1) = m(x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The equation is y=4x
If the side length of a square is 1 centimeter, then y=4
So, the coordinate point is (1, 4)
The slope of an equation y=4x is 4
Put (x1, y1)=(1, 4) and m=4 in slope intercept form
That is, slope intercept form is y-4=4(x-1)
Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
To learn more about the slope intercept form visit:
https://brainly.com/question/9682526.
#SPJ5
HELP PLEASE!!!
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.
The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.
The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.
The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.
The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.
Learn more about graphs of linear equations here: https://brainly.com/question/370278
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
A number increased by 4 is less than - 12.
Answer:
is this all the information from the question
Apply distributive 15+22
Answer:37
Step-by-step explanation:
What is the slope of the line?
Answer:
-1/2
Step-by-step explanation:
Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)
Calculate the slope using rise over run. -4-(-3)=-1
-3-(-1)=2
Or, after choosing the dots, you can make a triangle
Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he
Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.
Step-by-step explanation:
The question was not complete, I am not sure about the answer.
Correct me if I am incorrect.
Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.
4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs
4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs
The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.
Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:
A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs
1,266.71 x 30 x 12 + 256 = X
1,266.71 x 360 + 256 = X
456,015.60 + 256 = X
456,271.60 = X
B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs
1,193.54 x 30 x 12 + 10,362 = X
1,193.54 x 360 + 10,362 = X
429,674.40 + 10,362 = X
440,036.40 = X
Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.
Learn more about maths in https://brainly.com/question/25866144
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Answer:
C or the third option.
Step-by-step explanation:
The equation is y = 4x - 4
Hope this helps! Pls give brainliest!
Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.
1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?
2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.
3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?
4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.
Answer:
Step-by-step explanation: this is hard
For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most
14.05 at most
If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5
If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be
If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5
Answer: im late but here you go
12/2/22
Step-by-step explanation:
Find the solution of the differential equation that satisfies the given initial condition.
The first equation is separable:
dy/dx = x/y ⇒ y dy = x dx
(provided that y ≠ 0)
Integrating both sides yields
1/2 y² = 1/2 x² + C
Given that y(0) = -8, we find
1/2 • (-8)² = 1/2 • 0² + C ⇒ C = 32
so that the particular solution is
1/2 y² = 1/2 x² + 32
Solving for y explicitly, we have
y² = x² + 64
y = ± √(x² + 64)
but since y(0) is negative, we take the negative solution:
y = - √(x² + 64)
The second equation is also separable:
du/dt = (2t + sec²(t)) / (2u) ⇒ 2u du = (2t + sec²(t)) dt
Integrate both sides:
u² = t² + tan(t) + C
Given u(0) = -6, we have
(-6)² = 0² + tan(0) + C ⇒ C = 36
and so
u² = t² + tan(t) + 36
u = ± √(t² + tan(t) + 36)
but again we take the negative root here to agree with the initial condition, so
u = - √(t² + tan(t) + 36)
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.
(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6
8 : 2
8+ 4 = 12 2 + 1 = 3
12 : 3
12 + 4 = 16 3 + 1 = 4
16 : 4
16 + 4 = 20 4 + 1 = 5
20 : 5
20 + 4 = 24 5 + 1 = 6
24 : 6
24 + 4 = 28 6 + 1 = 7
28 : 7
28 + 4 = 32 7 + 1 = 8
32 : 8
32 + 4 = 36 8 + 1 = 9
36 : 9
36 + 4 = 40 9 + 1 = 10
40 : 10
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Have a great day/night! :D
Which fraction is the same as 3.375?
Answer: 27/8 or 3 3/8
Step-by-step explanation:
Write 3.375 as 3.375/1
then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.
Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.
If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times. That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same. ur final answer as a mixed number is 3 3/8.
What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.
Answer:
1/30
Step-by-step explanation:
3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS
Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left
Step-by-step explanation:
Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer: $3
Step-by-step explanation:
15 times .20 then subtract that from 15
Answer:
$3
Step-by-step explanation:
because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
-3x-8? I would like to know the steps also
Answer:
24
Step-by-step explanation:
a - and a - make a +
so -3 x -8 becomes positive
so 3 x 8 = 24
Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?
Answer:
Jose has 36 outfits in total, just multiply all the numbers together
Step-by-step explanation:
you bought a bottle of water for $0.50 then you sold it for $1.00 tell whether this is an increase or decrease and give the percent value changed
Answer:
increase by 100%
Step-by-step explanation:
100% of 0.5 is 0.5 therefore 0.5+0.5=1
simplify (6)/(\sqrt(3))
What is a 15% tip on a meal that costs $38.40?
Answer:
its $5.76
Step-by-step explanation:
because $38.40 / 15 is $5.76
Pls help me
Given the following data pairs (x, y): (1, 1.24), (2, 5.23), (3, 7.24), (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99),(8, 14.88), (9, 18.04), (10, 20.70) obtain a prediction for x = 4.5
Answer:
(5.33) the answer but I am not sure
Help help help help help help pelsss
Answer:
angle 4 is also 75 degrees
Step-by-step explanation:
can someone help me pls?
three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards
Answer:
126 inches = 10.5 feet = 3.5 yards
Step-by-step explanation:
42 in = 3.5 ft = 1.1667 yds
2.5 ft = 30 in = 0.8333 yds
1.5 yds = 54 in = 4.5 ft
42+30+54= 126 in
3.5+2.5+4.5= 10.5 ft
1.5+0.8333+1.1667= 3.5 yds
10.5/3= 3.5 yds
A car is 15 feet long. A truck is 80% longer than the car. How long is the truck?
Enter numerical answer only. (just the number)
also thank you to everyone that has been helping me out when i have quetions.
also be as fast as you can cause this quiz is do in 30 min cause i am staying after school.
Answer:
27
Step-by-step explanation:
Answer:
27 feet
Step-by-step explanation:
One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.
Another way to do this is: 15 * 1.8 and the result is also 27 feet.
PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)
Answer:
associative
Step-by-step explanation:
8x1=8
no matter how you group it the answer will always be 8
Hey there!
Identity Property FORMULA
Addition Identity Property
a + 0 = a
Multiplication Identity Property
a × b = b × a
Associative Property FORMULA
Addition Associative Property
a + (b + c)
Multiplication Associative Property
a * (b * c) = (a * b) * c
Based on that information we have above… we should say that your answer is most likely: IDENTITY
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
