Approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.
What Is a Normal Distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
First, we standardize the value of 2.6 as follows:
z = (x - μ) / σ
where x is the value of 2.6, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:
z = (2.6 - 3.7) / 0.6 ≈ -1.83
z = (x - μ) / σ
where x is the value of 3.9, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:
z = (3.9 - 3.7) / 0.6 ≈ 0.33
We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we can find the area as follows:
P(-1.83 < Z < 0.33) ≈ 0.6068
Therefore, approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.
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Approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.
What Is a Normal Distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
First, we standardize the value of 2.6 as follows:
z = (x - μ) / σ
where x is the value of 2.6, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:
z = (2.6 - 3.7) / 0.6 ≈ -1.83
z = (x - μ) / σ
where x is the value of 3.9, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:
z = (3.9 - 3.7) / 0.6 ≈ 0.33
We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we can find the area as follows:
P(-1.83 < Z < 0.33) ≈ 0.6068
Therefore, approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.
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in a figure skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. write an equation to find the skaters total score s.
The skater's total score would be 58 points (7.25 x 8 = 58).
How can you determine the mean?Just dividing the total number of values in a data set by the sum of all of the values yields it. A frequency table of data or raw data can both be used for the calculation.
The following equation can be used to determine each skater's overall score, s, assuming that they each receive evaluations from eight judges and have a mean score of 7.25 points:
s = 7.25 x 8
The total score is determined by multiplying the average score by the quantity of judges in this equation. In this instance, the skater would have earned 58 points overall (7.25 x 8 = 58).
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In a skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. Write an equation to find the skaters total score?
a. 7.25 × 8
b. 7.25⁸
c. 7.25 - 8
d. 7.25/8
you randomly draw 2 cards from a standard deck of 52 cards. what is the probability you draw a heart, don't replace it, and pull a club?
PLEASE ANSWER BY 7:00AM Pacific Standard Time!!!!!! 17 pointz
Step-by-step explanation:
There are 52 cards and 13 are hearts
first card heart is then 13 /52 = 1/4 chance
now there is only 51 cards and 13 are clubs
second card club is then 13 / 51 chance
13/52 * 13/ 51 = 169 / 2652 = 13/204 = .0637 chance of Heart - Club
Describe the error in the statement of the tangent ratio. Correct the error if possible. Otherwise, write not possible.
Step-by-step explanation:
This is NOT a right triangle ( angle B = 95 degrees) , so the usual S-O-H-C-A-H-T-O-A ratios do not apply .
Solve the following. Find the unknown term of the proportion.
Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?
Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))
Answer:
Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Subway 80
Bicycle 20
Car Service 30
Bus 16
Walk 54
Which of the following circle graphs correctly represents the data in the table?
Option A is correct. The circle graph or pie chart have five parts as 5 ways of transportation labeled Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%
How to create a pie chart with all percentages of transportation?Let's create pie chart to show the parts of transportation, each transportation ways will be represented by their percent.
Total number of visitors from various transportation = 80 + 20 + 30 + 54 + 16 = 200
Percentage of ways of transportation for each type:
Subway: %
Bicycle: %
Car Service: %
Bus: %
Walk: %
So, the correct pie chart of different ways of transportation will have five parts named as Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%.
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Use the distributive property to solve 4 2/5 x 10. Where 4 2/5 is a fraction. Please show work so I can explain. Thank you.
Answer:
Step-by-step explanation:it will be 44/1 = 44
Since 4 2/5 x 10
We will use 10 as 10/1
and 4 2/5 as 22/5 so
22/5 x 10/1 we cross out the 5 and 10 since there a factor of each other
then it will be 22/1 x 2/1 it will be much easier
Then 22 x 2 = 44
1x1 = 1
=44/1 = 44
Polygon EFGH has vertices E(-1.3), F(1,4), G(3,3), and H(0,0). Graph the figure and its image after a clockwise rotation of 90 degrees about vertex H. Then write the coordinates of polygon E' F' G' H'.
The new cοοrdinates οf the image οf the pοlygοn are: E'(0, 1), F(4, 0), G(3, -2) & H(0, 0).
What is a pοlygοn?A pοlygοn is a twο-dimensiοnal clοsed shape made up οf straight-line segments. The segments, οr sides, intersect οnly at their endpοints, which are called vertices.
Tο graph pοlygοn EFGH, we first plοt the given cοοrdinates:
E(-1, 3)
F(1, 4)
G(3, 3)
H(0, 0)
Tο find the image οf the pοlygοn after a clοckwise rοtatiοn οf 90 degrees abοut vertex H, we can use the fοllοwing transfοrmatiοn matrix:
| cοs(-90) -sin(-90) 0 | | x - 0 | | y |
| sin(-90) cοs(-90) 0 | * | y - 0 | = | -x |
| 0 0 1 | | 1 | | 1 |
Simplifying this matrix, we get:
| 0 -1 0 |
| 1 0 0 |
| 0 0 1 |
Tο apply this transfοrmatiοn tο each pοint οf the pοlygοn, we can multiply the matrix by the cοlumn vectοr (x, y, 1) fοr each pοint.
Therefοre, the new cοοrdinates οf the image οf the pοlygοn are:
E'(0, 1)
F(4, 0)
G(3, -2)
H(0, 0)
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Zoe is saving money to go on a trip to Mexico. She earns 16.75 for mowing the lawn . If Zoe mows the lawn 28 times how much money will she earn
469
do 16.75 x 28 which will equal to 469
Can some one help with this problem
Step-by-step explanation:
Area of the trapezoid = height x average of bases
area = 4 x (8+13)/2) = 42 in^2
Area of triangle = 1/2 base * height = 1/2 (13-8) * 4 = 10 in^2
One of outstanding journal recently published an article indicating differences in perception of gender equality on the job between men and women. The article claimed that women perceived the gender equality problem to be much more compared to men. One question asked of both men and women was: "Do you think gender equality is a major problem in the workplace?" 60% of the women responded "Yes", compared to men about 25%. Assuming W designates women's responses and M designates men's, what hypothesis should journal test in order to show that its claim is TRUE?
The journal could use a one-tailed hypothesis test with a significance level (α) of 0.05 to determine whether there is a significant difference between the proportion of women and men.
What is p value?In statistics, the p-value is a measure of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming that the null hypothesis is true. In other words, the p-value is the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.
Given by the question.
To test the claim that women perceive the gender equality problem to be much more compared to men, the journal could test the following hypothesis:
Hypothesis: The proportion of women who perceive gender equality to be a major problem in the workplace (W) is significantly greater than the proportion of men who perceive gender equality to be a major problem in the workplace (M).
H0: W = M (there is no significant difference in perception of gender equality between men and women)
Ha: W > M (women perceive gender equality to be a major problem more than men do)
who perceive gender equality to be a major problem in the workplace. They could calculate the p-value and compare it to α. If the p-value is less than α, they would reject the null hypothesis and conclude that the proportion of women who perceive gender equality to be a major problem in the workplace is significantly greater than the proportion of men who perceive it to be a major problem.
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Find the rule x = 8 y = 10 x = 9 y = 12
The equation of the rule that relates x and y is y = 2x - 6.
What is the equation's rule?Anything on one side of the equals sign in a calculation must equal anything on the other side of the equals sign. So long as we maintain the balance on both sides of the equals symbol, we can do whatever we want to an equation.
We can create a system of equations using the provided values (8, 10) and (9, 12) in order to determine the rule that connects x and y. One approach is as follows:
The slope of the line connecting the two locations can be determined first:
m = (y2 - y1)/(x2 - x1) = (12 - 10)/(9 - 8) = 2/1 = 2
The point-slope version of the equation of a line can then be used, using either of the two points:
y - y1 = m(x - x1)
For example, using the first point (8, 10):
y - 10 = 2(x - 8)
Simplifying:
y - 10 = 2x - 16
y = 2x - 6
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help finding the area of compound shapes
Answer: what shape?
Step-by-step explanation:
More info please
Mrs. Andretti is having new drapes made for her living
room. The cost of the fabric is $15 per yard. The fee to
make and hang the drapes is $250. She uses the expression
15x + 250 to calculate the total cost of the drapes. Mrs.
Andretti states that x represents the total cost of the fabric.
Is she correct?
• Yes, x represents the total cost of the fabric.
O No, x represents the total cost of the drapes.
• No, x represents the total yards of fabric used.
O No, x represents the total amount of fabric she
already has.
Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain.
Why do we determine costs?Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.
X does not represent the cost of fabric. X represents the number of yards of fabric used.
15x + 250
Could be read as ($15 × # of yards) + $250
She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.
She may indicate the price of fabric with an additional variable.
Example: Y
Y= 15x
Cost of fabric is equal to $15 per yard × # of yards.
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4. The cases when one of the artists is out is useful for determining domain and range because it shows the most number of hours one would need to work when the other person works 0 hours. Recall that Philipe draws 3 per hour, Claude draws 4 per hour, and their goal is to draw a combined total of 60 caricatures per day. Let C' be the horizontal axis and P be the vertical axis.
One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.
The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).
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I really need to know how to solve this type of problems
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
Answer:
2
Step-by-step explanation:
please help ! QUICK no trolling
Answer:10.9
Step-by-step explanation:
using soh cah toa:
[tex]Sin40=\frac{b}{17}[/tex]
[tex]B=sin40 .17[/tex]
B=10.9
If ƒ is an entire function such that lim_|z|-->00 |ƒ (z)| = ∞ then?.
ƒ(z) is a nοn-cοnstant pοlynοmial if lim_|z|-->00 |ƒ(z)| = ∞ fοr an entire functiοn ƒ(z).
Hοw tο calculate entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞?If ƒ is an entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞, then we can cοnclude that ƒ(z) is a nοn-cοnstant pοlynοmial.
Tο see why this is true, we can use Liοuville's theοrem, which states that every bοunded entire functiοn must be cοnstant. Since the limit οf |ƒ(z)| as |z| apprοaches infinity is infinity, we knοw that ƒ(z) is unbοunded, and thus nοt cοnstant.
Furthermοre, since ƒ(z) is nοt cοnstant, it must have a finite number οf zerοs, each οf which has finite οrder (since ƒ(z) is entire). This implies that ƒ(z) can be written as a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.
In summary, if lim_|z|-->00 |ƒ (z)| = ∞, then ƒ(z) is a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.
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Aniyah has 23 cups of oats in one container. She has 4 cups of oats another container. How many cups of cats does she have in total?
Answer:
27 cups of oats
Step-by-step explanation:
23
+ 4=27
4.2.3 2 33-(-√4)√-64 -42 x 13 + 17
Answer:
208xi+53.26=261.26
Step-by-step explanation:
Please mark brainiest please I am correct
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️ me after doing the problem
hii I NEED HELP WITH 2 and 3 WILL BE GIVING 20 points!
Part A: The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.
Part B: The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).
What is a slope?A slope is a measure of how steep a line is when plotted on a graph. It is calculated by finding the ratio of the "rise" (vertical change) over the "run" (horizontal change). Slopes can be positive, negative, zero, or undefined. A positive slope is one where the line rises from left to right and a negative slope is one where the line falls from left to right.
Part A: The slope of line q can be determined by calculating the slope of line p and multiplying it by the dilation factor. The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.
Part B: The y-intercept of line q can be determined by calculating the y-intercept of line p and adjusting it for the dilation factor. The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).
Line segment P'Q is created by the two points (8, 5) and (12, 8). Using the distance formula, the length of line segment P'Q can be determined. The formula for the distance between two points is (x2-x1)² + (y2-y1)². Substituting the coordinates for points P and Q into the formula, the length of line segment P'Q is calculated as (12-8)² + (8-5)²= 9. Therefore, the length of line segment P'Q is 9 units.
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HELPPP FAST
X^2+8x+5=0
Answer:
hope its right
Step-by-step explanation:
The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
Please explain if you really really know the answer
Therefore , the solution of the given problem of unitary method comes out to be the pantry has 16 quarts of ice cream.
What is an unitary method?The goal can be achieved by making use of what has expression learned to date, utilizing this global access, and incorporating all crucial elements from previous changeable study that employed a specific technique. It is going to be equation possible to get in touch with the entity again if the expected claim result actually happens, or both crucial processes will surely miss the statement. A Rs ($1.21) redeemable fee may be needed for fifty pens.
Here,
Finding the overall quantity of cake in the kitchen is a good place to start. If there are 10 pastries, each measuring 1/4 inch, then there will be:
=> 10 desserts divided by 1/4 each equals the total cake.
=> Cake total equals 10/4 cakes.
=> 2.5 pastries altogether
=> 1 3/5 pints of ice cream for every 1/4 cake.
=> 8 and a half pints of ice cream per 1/4 cake
To determine the total amount of ice cream, we can multiply the ice cream per cake by the total number of cakes:
=> Total ice cream equals the sum of the cakes' ice cream.
=> Total ice cream = (8/5 quarts per 1/4 cake) * (10/4 cakes)
=> Total ice cream = 16 quarts
Consequently, the pantry has 16 quarts of ice cream.
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Muliplying Decimals by Powers of 10
Select from the drop-down menus to correctly complete the statement.
The product of 0.014 and 100,000 is Choose
the right.
because the decimal point in 0.014 moves Choose places to
V
The required of 0.014 and 100,000 product is 1400.
What is Product?The object being sold is referred to as a product. A service or an object both qualify as products. It could take on a physical, virtual, or cyber shape. Every product has an expense associated with it, and each one has a price. The industry, the quality, the marketing, and the segment that is being targeted all affect the price that can be charged.
According to question:
We have to numbers
0.014 and 100000
Then;
0.014( 100000)
= 1400
Thus, required product is 1400.
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What is the following sum ?
3sqrt 125x^10y^13 + 3sqrt 27x^10y^13
The sum οf the twο expressiοn is [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]
What is an algebraic expressiοn?An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns.
We can simplify each square rοοt term by factοring οut the largest perfect square pοssible frοm under the square rοοt.
Fοr the first term, we can factοr οut 25 frοm under the square rοοt as fοllοws:
[tex]\rm 3\sqrt{(125x^{10}y^{13})} = 3\sqrt{(255x^{10}y^{12}y)} = 35x^{5}y^{6} \times \sqrt{(5y)}[/tex]
Fοr the secοnd term, we can factοr οut 9 frοm under the square rοοt as fοllοws:
[tex]\rm 3\sqrt{(27x^{10}y^{13}) }= 3\sqrt{(93x^{10}y^{12}y)} = 33x^5y^6 \times \sqrt{(3y)[/tex]
Therefοre, the sum οf the twο terms is:
[tex]\rm 3\sqrt{(125x^{10}y^{13)}}+ 3\sqrt{(27x^{10}y^{13} )}= 35x^5y^6\sqrt{(5y)} + 33x^5y^6\sqrt{(3y)}[/tex]
Simplifying further, we can factοr οut 3x^5y^6 tο get:
= [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]
Therefore, the sum of the two terms is [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]
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Helppppp quick please!!
This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.
What are functions ?
In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"
According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:
2x²+3x-1 = x²-3
We can start by simplifying both sides of the equation:
2x²+3x-1 - (x²-3) = 0
Simplifying the left side, we get:
2x²+3x-1 - x²+3 = x²+3x+2
Now we can simplify the right side:
x²+3x+2 = (x+1)(x+2)
Substituting this expression back into the equation, we get:
2x²+3x-1 - x²+3 = (x+1)(x+2)
Simplifying the left side again, we get:
x²+3x-4 = (x+1)(x-4)
Now we have:
(x+1)(x-4) = (x+1)(x+2)
We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:
x-4 = x+2
Subtracting x from both sides, we get:
-4 = 2
This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.
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Write the letter of the definition next to the matching word as you work through the lesson.
The matching word are as follows:- center of dilation - C,corresponding angles - D,dilation - E,scale factor (of a dilation) - A,similar polygons - B respectively.
What are corresponding angles?Corresponding angles are a pair of angles that have the same relative position at the intersection of two lines when one line is crossed by a transversal.
They are located in corresponding (matching) positions in congruent or similar figures, and are congruent if the figures are similar.
center of dilation: C.The fixed point that is parallel to each point on the pre-image and the corresponding point on the picture during a dilatation
corresponding angles: D.a pair of angles in two congruent or similar figures that are in the same relative position
dilation: E. The transformation in which each point on the image lies on the same line as the corresponding point on pre-image and a fixed point called the center of dilation.
scale factor (of a dilation): in a dilation, the constant rate between the distance from the center of dilation and a point on the image and the distance from the center of dilation and the matching point on thepre-image
similar polygons: B.two or further polygons in which corresponding angles are harmonious and the lengths of corresponding sides are in proportion.
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What is the scale factor, k, if D (k, o)(3,5) = (7.41, 12.35)
A. 2.47
B. 7.35
C. 4.41
D. 1.35
When D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
It is believed that the four fundamental operations, often referred to as "arithmetic operations", can accurately represent all real numbers. Division, multiplication, addition, and subtraction are followed by the mathematical operations quotient, product, sum, and difference.
We are given that D is (k, o) (3,5) = (7.41, 12.35).
This can be represented as
⇒ (3k,5o) = (7.41, 12.35)
So,
⇒ 3k = 7.41
⇒ k = 2.47 (Using the division operation)
Hence, when D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47.
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you are at the market square (0,0) and want to get to the doctor's office. Following the grid lines what is the shortest route ?
Answer:
3, -3
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Refer to the table which summarizes the results of testing for a certain disease. Positive Test Result Negative Test Result Subject has the disease 87 9 Subject does not have the disease 27 312 A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative? Group of answer choices 0.972 0.221 0.028 0.094
The probability that the subject has the disease given that the test result is negative is 0.028.
What is Bayes' theοrem?Bayes theοrem is defined as where A and B are events, P(A|B) is the cοnditiοnal prοbability that event A οccurs given that event B has already οccurred (P(B|A) has the same meaning but with the rοles οf A and B
We want tο find P(A|B), the prοbability that the subject has the disease given a negative test result.
Bayes' theοrem states that:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B|A) is the probability of a negative test result given that the subject has the disease, P(A) is the prior probability of the subject having the disease, and P(B) is the probability of a negative test result.
From the table, we can calculate:
P(B|A) = 9/96 = 0.09375
P(A) = (87+9)/(87+9+27+312) = 0.235
P(B) = (27+312)/(87+9+27+312) = 0.883
Plugging these values into Bayes' theorem, we get:
P(A|B) = 0.09375 * 0.235 / 0.883 ≈ 0.025
Therefore, the probability that the subject has the disease given a negative test result is approximately 0.025, which is closest to 0.028. So, the answer is 0.028.
To know more about Bayes' theorem visit,
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