NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 99.6% of people with the disease test positive and only 0.05% who do not have the disease test positive. What is the probability that someone who tests positive has the genetic disease
Answer:
The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease
Step-by-step explanation:
The number of persons in 10,000 people that have the disease = One
The percentage of people with the disease that test positive = 99.6%
The percentage of people who do not have the disease test positive = 0.05%
The probability that someone who tests positive has the genetic disease
[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]
P(disease) = 0.01% = 0.0001
P(positive disease) = 99.6% = 0.996
P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999
P(positivenodisease) = 0.05% = 0.0005
Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.
Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5
Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive
The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%
Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease
We have;
[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]
what does 3 x 2/5 equal?
Answer:
you would get 1.2
Answer:
Step-by-step explanation:
exact form 6/5
decimal form 1.2
mixed number form 1 1/5
There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble?
Total marbles: 7 + 7 + 7 + 7 = 28
There is a total of 28 marbles. 7 are blue.
The probability is the number of blue/ total marbles = 7/28 which reduces to 1/4
The probability is 1/4
Answer:
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Step-by-step explanation:
1/3
There is 21 marbles and if you divided by 3 it gets 7.
7/21 is equal to 1/3
Therefore the possibility of picking a blue marble is 1/3.
there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.
10. Simplify x + 6 - 3x – 8.
Answer: =-2(x+1)
Step-by-step explanation:
Answer:
-2x-2
Step-by-step explanation:
6-8=-2
x-3x=-2x
triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false
True because all properties are preserved under dilation from triangle ABC to A'B'C'.
We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'
We have to determine after dilation, the properties of triangle ABC and A'B'C' is true or false.
What is the transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.
here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.
So, the dilation of the triangle is not congruent but similar to the original triangle ABC
Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.
To learn more about the transformation visit:
https://brainly.com/question/4289712
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Answer:
Step-by-step explanation:
The answer is FALSE for the first one AB and A'B' are on the same line.
and TRUE for the second one The measures of B and B' are equal.
3 that aren’t answered please, ill give brainiest
Answer:
7: 113.1 yd
In terms of Pi: 36π
8: 326.85 in
In terms of Pi: 104π
6: 452.39 km
In terms of Pi: 144π
Step-by-step explanation:
giving brainliest!!! easy
Answer:
216
Step-by-step explanation:
area of one side-6x6=36. 36x6=216
https://discord.com/channels/831320243858178088/831320244437254146/831690199184179221Step-by-step explanation:
Select the correct answer.
f(x)=21 + 3?
41 – 8
Which graph shows the asymptotes of the function
Answer:
answer is b jejejejsjsjwj
WILL MARK BRAINLEST
Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.
Answer:
When you double it's radius
Step-by-step explanation:
Volume of cone = 1/3(π)(r²)h
the height is a constant proportion but the radius is squared in the calculation of the base area.
Doubling the height would double the volume. Doubling the radius would more than double the volume.
Example:
a height of 4 to a height of 8 would double the volume. (the base would not change)
a radius of 4 to a radius of 8 would triple the volume. ( the base area would go from 16π to 64π)
What integer represent 11 degrees above zero?
Jackson is interested in the number of memories people can recall. He knows that the number of memories recalled is normally distributed in the general population, with a population mean of 30 and a population standard deviation of 5. What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories
Answer:
0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Population mean of 30 and a population standard deviation of 5.
This means that [tex]\mu = 30, \sigma = 5[/tex]
What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories?
This is the pvalue of Z when X = 29 subtracted by the pvalue of Z when X = 26. So
X = 29
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 30}{5}[/tex]
[tex]Z = -0.2[/tex]
[tex]Z = -0.2[/tex] has a pvalue of 0.4207
X = 26
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 30}{5}[/tex]
[tex]Z = -0.8[/tex]
[tex]Z = -0.8[/tex] has a pvalue of 0.2119
0.4207 - 0.2119 = 0.2088
0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.
Someone PLEASEEE HELP ME WITH THISSS
Answer:
6 out of 100 and 3 out of 50
Step-by-step explanation:
Sam kicks a ball from the ground with an initial velocity of 48 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using the vertical motion formula below.
h(t)=-16t^(2)+v_(0)t+s
solve the equation and explain the solution
Answer:
the answer is most likely x=5squa4ed
what is the range of magazines sold?
please answer will give brainliest
Answer:
range: 8
Step-by-step explanation:
In order to find the range you need the minimum and maximum
minimum: 17
maximum: 25
Subtract
25-17=8
can someone pls help me i’m stressed out over this. all you have to do is find the area of the shaded part, thank you sm <3
Answer:
88.86
Step-by-step explanation:
Okay, first find the area of the circle (πr^2)
The diameter of the circle is 14, however we need the radius. Simply divide the diameter by two.
[tex]\pi 7^{2}[/tex]
3.14*49 =153.86
Next, we find the area of the rectangle (bh)
13*5 =65
Subtract the rectangle from the circle.
153.86-65 =88.86
Hope this helps you :)
The owner of a company determines the median and mean salaries for his 20 employees. The median salary is $41,000, and the mean is $52,000. Which BEST explains why the mean is so much greater than the median?
Convert: 2,640 yards miles and yards
Answer:
1.5 miles
Step-by-step explanation:
Formula
divide the length value by 1760
Hope it helps you!
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I'm willing to help
I need this help me
Step-by-step explanation:
the answer is 2/9
2/9 is .2222222 continuing
2/10 is 0.2
22/1000 is 0.022
2/8 is 0.25
69 POINTS PLS ACTUALLY ANSWER IT NEED THIS FAST The value of the expression 2/3+3/2-3x4-5/2 divided by 5+(7x4) is what?
Answer:
your answer is "17.6666666667"
Step-by-step explanation:
What is the value of the expression (9+6)×3 when simplified?
PLEASE HELP
Answer:
The answer would be 45
2p – 194.99 = 284.97
8. You deposit $1600 in a bank account. Find the balance after 3 years. The account pays 2% annual interest compounded
quarterly.
Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer
4 1/8 take away 1 1/2
10 Points Please help me
Simplify 2y + 3y / 2 + 6y + 7y2
Answer:
19y/2 + 7y2
Step-by-step explanation:
Hey answer equation please thanks
Answer:
30 y
Step-by-step explanation:
We need to multiply 5 by 4y and 5 by 2 y
20y + 10y = 30y
Answer:
30 y
Step-by-step explanation:
You are supposed to distribute(multiply) the 5 with 4y+2y inside the parentheses. Just multiply the 4y by 5 to get 20y and then 2 y with 5 to get 10 y. Your answer should be come out to be 20y + 10y. Since they both use the same variable (y), add them together to get 30y
What does 2/6 + 3/6 equal?
Answer:
0.83333333333
Step-by-step explanation:
Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change
Answer:
40%
hope this helped :)
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]