DETAILS 75% of positively tested Covid-19 cases and 10% of negatively tested Covid-19 cases are showing symptoms. Given that 25% of the Covid-19 tests are positive. Find the following (round up to 4 decimal points): a. Finding the probability that a randomly tested person is showing Covid-19 symptoms. 0.2625 b. Given that a random person is showing Covid-19 symptoms, what is the probability that a Covid-19 test for that person is positive? 0.7143 c. Given that a random person is not showing any Covid-19 symptom, what is the probability that a Covid-19 test for that person is positive 0.0847 MY NOTES ASK YOUR

Answers

Answer 1

The probability that a Covid-19 test for a person not showing Covid-19 symptoms is positive is 0.0847.

Here is how we can find the probability for each part of the question provided above:

a) We have, The percentage of positively tested Covid-19 cases showing symptoms = 75%The percentage of negatively tested Covid-19 cases showing symptoms = 10%Total percentage of Covid-19 tests that are positive = 25%We can calculate the probability that a randomly tested person is showing Covid-19 symptoms as follows: Let S be the event that a person is showing Covid-19 symptoms .Let P be the event that a Covid-19 test is positive. Then, P(S) = P(S ∩ P) + P(S ∩ P') [From law of total probability]where P' is the complement event of P. Then, 0.25 = P(P) + P(S ∩ P')/P(P')Now, from the given data, we have: P(S ∩ P) = 0.75 × 0.25 = 0.1875P(S ∩ P') = 0.10 × 0.75 + 0.90 × 0.75 × 0.75 = 0.6680P(P) = 0.25P(P') = 0.75Therefore, substituting the values in the equation we get,P(S) = 0.2625Thus, the probability that a randomly tested person is showing Covid-19 symptoms is 0.2625.b) We need to find the probability that the Covid-19 test for a person showing Covid-19 symptoms is positive. Let us denote this event as P. Then,P(P|S) = P(P ∩ S) / P(S) [From Bayes' theorem]Now, from the given data, we have:P(S) = 0.2625P(S ∩ P) = 0.75 × 0.25 = 0.1875Therefore, substituting the values in the equation we get,P(P|S) = 0.7143Thus, the probability that a Covid-19 test for a person showing Covid-19 symptoms is positive is 0.7143.c) We need to find the probability that the Covid-19 test for a person not showing Covid-19 symptoms is positive. Let us denote this event as P. Then,P(P|S') = P(P ∩ S') / P(S') [From Bayes' theorem]Now, from the given data, we have:P(S') = 0.7375P(S' ∩ P) = 0.25 × 0.10 = 0.025Therefore, substituting the values in the equation we get,P(P|S') = 0.0847

Know more about probability here:

https://brainly.com/question/32117953

#SPJ11

Related Questions

how to find domain of log function

Answers

The domain of a logarithmic function is all positive real numbers.

To find the domain of a logarithmic function, you need to consider the conditions for the argument (input) of the logarithm. The domain of a logarithmic function depends on two factors: the base of the logarithm and the argument.

1. Base of the logarithm: The base of the logarithm must be positive and not equal to 1. For example, in the common logarithm with base 10 (log base 10) or natural logarithm with base e (ln), the base satisfies these conditions.

2. Argument of the logarithm: The argument of the logarithm must be positive. It cannot be zero or negative.

Therefore, to find the domain of a logarithmic function, identify the restrictions on the base and determine the range of values for which the argument is positive. The domain will consist of all the values that satisfy these conditions.

For example:

- Domain of log base 10: The base (10) is positive and not equal to 1. The argument must be positive, so the domain is all positive real numbers.

- Domain of ln (natural logarithm): The base (e) is positive and not equal to 1. The argument must be positive, so the domain is all positive real numbers.

Remember to consider any additional restrictions or conditions specific to the problem or context in which the logarithmic function is being used.

To know more about logarithmic function, refer here:

https://brainly.com/question/30188946

#SPJ4

Please help! ASAP I just need number 1

Answers

Answer:

no you can not make 1 into a triangle

Step-by-step explanation:

16 cm, 30 cm, 45 cm

if you want to draw a triangle with these sides you would add

16 + 30 = 46

the longest side would have to be greater then the other 2 sides

Pls answer I need help!

Answers

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: $\frac{4}{9}$

Switch: the division sign to multiplication.

Flip Flip the numbers of $\frac{2}{1}$, or find it's reciprocal. $\frac{1}{2}$ turns into $\frac{2}{1}$.

Now, your problem looks like this:

$\frac{4}{9}$ * $\frac{2}{1}$ (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: $\frac{8}{9}$ should be the second blank.

what is the answer to 8x= - 44 ?

Answers

We need to solve the following equation for x:

$8x=-44$

To isolate x, we divide both sides

6 multiplied by 3, then increased by 10

Answers

The expression "6 multiplied by 3, then increased by 10" can be written as:

(6 * 3) + 10

Simplifying the expression:

18 + 10

Which equals:

28

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Combined Area Expression:

(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)

= 4(16 + x)(8 + x)

Area:

4(16 + 5)(8 + 5) = 4 * 21 * 13

= 1092 m^2

Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t , since the circle started shrinking.

Answers

The formula expressing the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking is r = r₀ - kt, where r₀ is the initial radius and k is the rate at which the circle is shrinking.

The formula r = r₀ - kt represents the relationship between the radius of the circle and the time elapsed since it started shrinking. Here's an explanation of the variables:

r represents the radius of the circle at any given time t.r₀ represents the initial radius of the circle when it started shrinking .k represents the rate at which the circle is shrinking, indicating how much the radius decreases per unit of time.t represents the number of seconds that have elapsed since the circle started shrinking.

By subtracting kt from the initial radius r₀, we can determine the current radius of the circle at any given time t. The term kt represents the amount by which the radius decreases over time, based on the rate of shrinkage defined by the value of k.

To learn more about expressing.

Click here:brainly.com/question/1859113

#SPJ11

2/5 how do I put this in to decimal by rounding to the nearest tenth

Answers

Step-by-step explanation:

0.4

hope this helps. :)......

Answer:

0.4

Step-by-step explanation:

2/5 is also written as 4/10

4/10 = 0.4

Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)

Answers

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

answer choices:
a. 122
b. 102
c. 138
d. 85

Answers

Answer:

option b

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

That is,

120 + y + 85 + 53 = 360

y = 360 - 120 - 85 - 53

y = 102

Answer:

Option B is correct

Step-by-step explanation:

Hint :

Sum of angles in quadrilateral = 360°

Simplify :

$ {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} $

Hope it is helpful...

when you are adding 5+2 what do you get?

Answers

Answer:7

Step-by-step explanation:

5+2=7

he united states has roughly 220 million cars for 300 million people. that equates to approximately 73% of all americans owning a car. china currently has 32 million cars for 1.3 billion people. if china suddenly had the same amount of car ownership as america how many cars would they have?

Answers

If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.

The United States has roughly 220 million cars for 300 million people. That equates to approximately 73% of all Americans owning a car. China currently has 32 million cars for 1.3 billion people. If China suddenly had the same amount of car ownership as America, they would have approximately 947 million cars.To calculate the number of cars China would have if they suddenly had the same amount of car ownership as America, we can use the following formula: 220 million / 300 million

= x / 1.3 billion We can then cross-multiply to solve for x:300 million * x

= 1.3 billion * 220 million x

= (1.3 billion * 220 million) / 300 million x

= 947 million. If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.

To know more about ownership visit:

https://brainly.com/question/31889760

#SPJ11

What percentage is 19 marks
out of 50?

Answers

Answer:

38%

Step-by-step explanation:

Answer:

the answer is 38%

Step-by-step explanation:

multiply 19 by 2 because 50 is half of 100

Question 6 of 10
What is the simplified form of 1¹4?
A. i
OB. -i
O C. 1
OD. -1

Answers

The correct answer is C.1 raised to the power of 14 is equal to 1.so the the simplified form of 1¹4 is 1.

What is simplified form?Simplified form refers to the process of reducing an expression or equation to its simplest form, typically by combining like terms or removing unnecessary elementsThe simplified form of 1 raised to the power of 14 is just 1.This is because any number raised to the power of 0 is always equal to 1.So when you raise 1 to the 14th power, you get the product of 1 multiplied by itself 14 times, which is still 1.For example, 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1.In general, when raising a number to a positive whole number power, the result will be that number multiplied by itself that number of times.Therefore, 1¹4=1

To learn more about simplified form refer:

brainly.com/question/123805

#SPJ1

can someone help me with this?
simplify the following
a) 3 × 4 × 2 × b
b) c⁵ × c
c) 2y⁴ × 5y³

<3

Answers

Answer:

Step-by-step explanation:

a)3*4*2*b = 24b

Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied

b) c⁵ *c = c⁵⁺¹ = c⁶

c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷

Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
O Reason 5

Answers

Answer:

Logan's solution and reasoning for solving an equation are shown below:

Given

Step 1: x-10-50 Reason 1: Given

Step 2

x-10+10=50+10 Reason 2 Addition Property of Equality

Step 3

Reason 3 Simplity

Step 4:

<= 60

Reason 4: Division Property of Equality

Step 5.

x = 40

Reason 5: Simplity

Choose which reason is incorrect.

O Reason 2

O Reason 3

O Reason 4

Step-by-step explanation:

3 times a number is 28 less than the square of that number. Find the negative solution

Answers

Answer:

-b = √(3a+28)

Step-by-step explanation:

3a = -28 + b²

3a + 28 = b²

√(3a + 28) = √b²

negative solution:

-b = √(3a+28)

Lowest common multiple of 28 and 144

Answers

Answer:

Lowest Common multiple -(L.C.M) is 1008.

Step-by-step explanation:

2 ¦ 28, 1442 ¦ 14, 72 ¦ 7, 36

2×2×7×36 = 1008

(L.C.M) =1008

─━─━─━─━─━─━─━─━─━─━─━─

L.C.M = Lowest Common Multiple

The following scenario applies to questions 3-5: The weights of all of the Utah County Fair pigs have an unknown mean and known standard deviation of g = 18. A simple random sample of 100 pigs found to have a sample mean weight of x = 195. Question 3 3. Calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs. (195, 200) (193, 204) (191, 199) (177, 213) Question 4 4. Suppose a sample of 200 was taken instead of 100. How will the margin of error change? the margin of error will increase in size the margin of error will decrease in size the margin of error will not change in size Question 5 5. If the researcher wanted to have 90% confidence in the results with a margin of error of 6.8, how many pigs must be sampled? 38 19 10 5

Answers

Answer:

Step-by-step explanation:

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we use the formula:

Confidence Interval = Sample Mean ± Margin of Error

Given:

Sample Mean (x) = 195

Standard Deviation (σ) = 18

Sample Size (n) = 100

The margin of error can be calculated using the formula:

Margin of Error = (Z * σ) / √n

For a 95% confidence level, the Z-value for a two-tailed test is approximately 1.96.

Margin of Error = (1.96 * 18) / √100

= 3.528

Therefore, the confidence interval is:

(195 - 3.528, 195 + 3.528)

(191.472, 198.528)

The correct answer is (191, 199).

Question 4: If the sample size is increased from 100 to 200, the margin of error will decrease in size. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error becomes smaller, resulting in a more precise estimate.

Question 5: To find out how many pigs must be sampled to have 90% confidence in the results with a margin of error of 6.8, we can use the formula:

Sample Size (n) = (Z^2 * σ^2) / E^2

Given:

Confidence Level (1 - α) = 90% (or 0.9)

Margin of Error (E) = 6.8

Standard Deviation (σ) = 18

For a 90% confidence level, the Z-value for a two-tailed test is approximately 1.645.

Sample Size (n) = (1.645^2 * 18^2) / 6.8^2

= 3.379

Therefore, the minimum number of pigs that must be sampled is approximately 4 (rounded up to the nearest whole number).

The correct answer is 5.

Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?

help asap!!

Answers

Answer:35 m

Step-by-step explanation:

North: 5+6+4. East: 4+16. 15+20

Mount Whitney Trail starts at an elevation of 8,350 ft above sea level and ends at an elevation of 14,500 ft above sea level. The temperature changes by -5.4 F for every thousand feet gained in elevation. What is the change in temperature from the starting elevation to the ending elevation of Mount Whitney Trail?

Answers

Answer:

I would think -32.4. - Tell me if I am wrong

Step-by-step explanation:

I hope this helps :)

Fill in the table using this function rule.y = 6x-3ху-5-1O1I1/6

Fill in the table using this function rule.y = 6x-3-5-1O1I1/6

Answers

Replace each of the values of x from the table into the given equation to find the corresponding values of y.

The rule for y in terms of x is:

$y=6x-3$

For x=-5:

$\begin{gathered} y=6(-5)-3 \\ =-30-3 \\ =-33 \end{gathered}$

For x=-1:

$\begin{gathered} y=6(-1)-3 \\ =-6-3 \\ =-9 \end{gathered}$

For x=0:

$\begin{gathered} y=6(0)-3 \\ =0-3 \\ =-3 \end{gathered}$

For x=1:

$\begin{gathered} y=6(1)-3 \\ =6-3 \\ =3 \end{gathered}$

For x=1/6:

$\begin{gathered} y=6(\frac{1}{6})-3 \\ =1-3 \\ =-2 \end{gathered}$

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2

Tracey paid $145 for an item that was originally priced at $390. What percent of the original price did Tracey pay?

Answers

Tracey paid 37.18% of the original price for the item costing $390.

To find the percentage that Tracey paid of the original price of the item, the formula to be used is:Percentage of original price paid = (Amount paid / Original price) x 100

Given that Tracey paid $145 for an item that was originally priced at $390, the percentage of the original price that Tracey paid can be found as follows:

Percentage of original price paid = (145 / 390) x 100

Percentage of original price paid = 0.3718 x 100

Percentage of original price paid = 37.18%

Therefore, Tracey paid 37.18% of the original price of the item.

In conclusion, Tracey paid 37.18% of the original price for the item costing $390.

To know more about percentage visit:

brainly.com/question/32197511

#SPJ11

Write the equation of the line, in point-slope form. Identify (x1 y2) as slope (-2,2). Use the box provided to submit all of your calculations and final answers.

Answers

Answer:

y + 2 = -1(x - 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-2, 2)

Point (2, -2)

Step 2: Find slope m

Substitute: $m=\frac{-2-2}{2+2}$Subtract/Add: $m=\frac{-4}{4}$Divide: $m=-1$

Step 3: Write equation

Point-Slope Form: y + 2 = -1(x - 2)

And we have our final answer!

How many days will it take a wild horse to travel 2,700 miles if the horse travels 30 miles a day?

Answers

Answer:

The Answer is 90

Step-by-step explanation:

30 X 9 = 2,700

From their location in the diagram, what are two possible values for n and m?

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

n=0.5 m=n/2

Step-by-step explanation:

In Question 1 and Question 2, what is the distance from the center if the circle to a point on the circle? Take this idea a step further: what is the
relationship between the center of any circle and the points that lle on the circle?