The probability that a person has colon cancer given that they have a positive test result is approximately 0.98. The answer lies in the range [0.95, 1.00].
Let's call the probability that a person has colon cancer given that they have a positive test result "p". We can use Bayes' Theorem to find this probability.
Bayes' Theorem is: p(A|B) = (p(B|A) * p(A)) / p(B)
In this case, A is the event that the person has colon cancer, and B is the event that the person has a positive test result.
We are given that:
p(B|A) = 1 (all people who have colon cancer will have a positive test result)
p(B|~A) = 0.02 (2% of people who do not have colon cancer will have a positive test result).
We are also given that p(A) = 2/102 (2 out of 102 people who undergo routine screening have colon cancer) and p(~A) = 100/102 (100 out of 102 people who undergo routine screening do not have colon cancer).
Substituting these values into Bayes' Theorem, we get:
p(A|B) = (1 * (2/102)) / (1 * (2/102) + 0.02 * (100/102))
Simplifying, we get:
p(A|B) = 0.98
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Please help me with my geometry work
In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.
What is a straight line?An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.
Definition of angle bisector.In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.
The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.
m∠2 = 40° the reason is YZ is the angle bisector of ∠s
∠s = m∠2 + m∠3
m∠2 = m∠3
therefore m∠2 = 40°
m∠1 + m∠2 + m∠3 + m∠4 = 180° the reason is XYQ is the straight line.
substitution of all values
m∠1 + 40° + 25° + 40° = 180°
m∠1 + 105° = 180°
m∠1 = 75° (straight line, substitution of all values )
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the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.
According to the question,
Given data,
The correlation between cost and distance is 0.791.
The farther the house is from a first station, the higher cost of damage tends to be.
the correlation between cost and distance
The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.
How is correlation measured?
The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.
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11-14) if b to the power x, = 7 and b > 0, then 7 / b must equal which of the following:
a) b to power (x-1)
b) b to power (x+1)
c) 7 to power x
Answer:
Here is the answer
Step-by-step explanation:
If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).
We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.
If we divide both sides of this equation by b, we get:
7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)
Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).
if two vectors are perpendicular to each other, their cross product must be zero.
true
false
Answer: False
Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
The function that can be represented by this graph is defined as follows:
f(x) = 2x³ + x - 3.
How to define the function?
The function is defined looking at the features of the graph.
The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:
n = 3.
The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:
0 = a + 1 - 3
a = 2.
Which means that the function rule can be given by:
f(x) = 2x³ + x - 3.
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how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.
There are 90000 palindromes 10-digit numbers.
In this question we need to find the number of 10-digit integers are there which are palindromes.
We know that a palindrome is a number that reads the same forward and backward.
The numbers that remain same even if they are reversed.
For exa., 131, 5225
We can observe that for even digit palindromes first half should be equal second half in reversed order.
we can generalize it as variables:
abcdeedcba, for a not equal to 0
So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.
There are 10 digits in total (0 - 9)
Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)
The second, third, fourth and fifth digit has all 10 choices.
So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.
Therefore, the total 10-digit numbers which are palindromes = 90000
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PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.
Answer:
0.93 km
Step-by-step explanation:
The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.
Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.
Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.
pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x
Answer:
y=7x
Step-by-step explanation:
If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!
Answer:
3 days
Step-by-step explanation:
Is this statement true or false?
TRUE: The given condition is correct that m ≤ 10 and m > 4.
Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.For the given statement;
m ≤ 10 and m > 4, the number for the value of m be;
m = 5, 6, 7, 8, 9, 10.
Thus, the given condition is correct that m ≤ 10 and m > 4.
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answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
if anyone can help me solve this i will give you 20 points!!
Answer:137
Step-by-step explanation:
What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?
Answer:
The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
Step-by-step explanation:
To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.
To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.
Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.
find the slope of the line thst passes through (10,2) and (1,3)
Answer: -7/1
Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.
Find the slope and the y-intercept.
Then use them to graph the line. -2x + 5y = -15
Answer:
Step-by-step explanation:
this is easy
Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?
A window company makes two square windowpanes. Windowpane A
has an area of 176 square inches. Windowpane B has an area of 275
square inches. How much longer is a side of Windowpane B than a
side of Windowpane A? Study the pictures.
Answer: 99.
If you take 275 and subtract it by 176, it should be 99, if I’m correct.
Find the inverse of the following function. f(x) 8√ x for x > 0
Inverse function of f(x) 8√ x for x > 0 is f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.
What is inverse of a function?In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.
if the original function maps input values to output values, the inverse function maps the output values back to the input values.
To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:
Replace f(x) with y. This gives us y = 8√x for x > 0.
Replace x with f^-1(y). This gives us f^-1(y) = 8√y.
Solve for y. To solve for y, we can square both sides of the equation:
y^2 = (8√y)^2
y^2 = 64y
y^2 - 64y = 0
y(y - 64) = 0
This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.
Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.
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In triangle xyz, m∠y = 38.25° and m∠z = 74.3°. determine the measure of the exterior angle to ∠x. 152.05° 112.55° 98.60° 62.05°
Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.
How to Apply the Exterior Angle Theorem?In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.
In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:
Measure of angle Y = 38.25°
Measure of angle Z = 74.3°
Therefore:
The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z
Substitute
The measure of the exterior angle to angle X = 38.25° + 74.3°
The measure of the exterior angle to angle X = 112.55°
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the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.
1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.
2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.
Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209
Interpretation
The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.
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Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?
A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds
Answer:
B
Step-by-step explanation:
[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]
PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!
Answer:
-1 3/8
Step-by-step explanation:
-2.25 + 0.4x = -2.8
-2.25 + 2.25 + 0.4x = -2.8 + 2.25 ==> add 2.25 on both sides to isolate x
0.4x = -0.55
(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals
8x = -11
x=-11/8
x=-(3+8)/8 ==> turn x into a mixed number
x=-3/8 - 8/8
x=-3/8 - 1 ==> simplify
x=-1 - 3/8
x=-(1 + 3/8)
x=-1 3/8
Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?
The box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.
Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.
Here, minimum is 13
Maximum is 16
Median is 14
Lower quartile range(Q1) is 13.5
Upper quartile range(Q3) is 15.5
Therefore, the box plot for given minimum, maximum, median, Q1 and Q3 is plotted below.
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a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?
Given restriction is an example of Time-of-day restrictions
The correct answer is an option (C)
In this question we have been given a friend tells you that tellers
are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.
We need to identify the type of restriction in this example.
We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.
This type of restrictions helps prevent unauthorized access outside that user's normal working hours .
Therefore, given restriction present in this example: Time-of-day restrictions
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The complete question is:
A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday
through Saturday. What is this restriction an example of?
A. User auditing
B. Least privilege
C. Time-of-day restrictions
D. Account verification
which point could represent 5/3?
A
B
C
D
Answer:
C
Step-by-step explanation:
5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1
The answers are
A. Statement: FDC≈FAB Reason: SAS
B. Statement FDC~FBA Reason: AA
C. Statement FDC≈FBA Reason: SAS
D. Statement FDC~FAB Reason: AA
Can I get an answer as well as how it makes sense?
Answer:
Step-by-step explanatihelpson:
is c hope it
To find the mass in grams, ______ the number of kilograms by the unit rate, _____ grams per kilogram.
PLEASE HELP
Answer:
To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.
Explanation:
For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.
Help i am confused
I don't know what this is
HELP ASAP
will mark brainllest if its the best answer.
Answer:
Below
Step-by-step explanation:
First one and third one and 4th one are true
4
Lee has 6 pygmy goats. Their weights, in kg, are listed below.
32 23 31 28 36
26
Two of the goats wander off and don't return. The remaining 4 goats have a mean
weight of 27.25 kg. Find the weights of the two goats who wandered off.
4
GR
Answer:
The weight of the two goats is 2.08 kg
Step-by-step explanation:
Total avg
32+23+31+28+36+26 = 176176/6 = 29. 33Avg of the two goats
29.33 - 27.25 = 2.08 kgAvg of one goat
2.08 /2 = 1.04 The avg of one goat 1.04kgWrite a recursive formula for an, the nth term of the sequence 2,-6,18,-54
Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:
a(n) = (-3) * a(n-1)
where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.
This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.
This recursive formula can be used to calculate the nth term of the sequence for any value of n.
