Last year the cost of a season ticket for a Rugby club was £370

Use Bayes' rule to find the indicated probability. The incidence of a certain disease on the island of Tukow is 4%. A new test h

lina2011 [118]

These are the events in the question above:

D - has disease

H - healthy (does not have disease)

P - tests positive 

It is the probability that a person has the disease AND tests positive divided by the probability that the person tests positive.

Sick, + [.04*.91] = .0364

Sick, - [.04*.09] = .0036 

Healthy, + [.96*.04] = 0.0384

Healthy, - [.96*.96] = .9216


.0364 / (.0364 + .0.0384) = 0.487

7 0

2 years ago

Which of the following values for m proves that 2m + 2m is not equivalent to 4m2?

Mashutka [201]

M=0 i am not sure it is right

6 0

2 years ago

Read 2 more answers

A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 6 green marbles. What is the probabi

alexgriva [62]

Answer: a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

a) the marble is red?

Probability of getting a red marble = $\dfrac{3}{13}$

b) the marble is not yellow?

Probability of not getting yellow = $\dfrac{3+6}{13}=\dfrac{9}{13}$

c) the marble is either red or green?

Probability of getting either red or green = P(red) + P(green) = $\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}$

d) the marble is neither red nor green?

Probability of getting neither red nor green = P(getting yellow) = $\dfrac{4}{13}$

Hence, a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

5 0

2 years ago

On the way home, Mark rode the first six miles of the trip in 30

SpyIntel [72]

Here, we are to find the speed of mark in miles per hour.

The speed of Mark in miles per hour is 12 miles per hour.

Total distance Mark travelled = 6 miles

Total time taken = 30 minutes

convert minutes to hour

60 minutes = 1 hour

30 minutes = 1/2 hour = 0.5 hour

Speed = distance ÷ time

= 6 miles ÷ 0.5 hour

= 12 miles per hour

Read more:

brainly.com/question/18102135

7 0

1 year ago

A square based brass plate in 4mm high and has a mass of 1.05kg. The density of the brass is 4.2g/cm3, calculate the length of t

Bezzdna [24]

Answer:

$Length = 25cm$

Step-by-step explanation:

Given

Brass Shape: Square

$Density = 4.2g/cm^3$

$Mass = 1.05kg$

$Height = 4mm$

Required

Determine the length of the plate

First, we need to calculate the Volume of the Brass using

$Density = \frac{Mass}{Volume}$

Make Volume the subject of formula

$Volume = \frac{Mass}{Density}$

Substitute 1.05kg for Mass and 4.2g/cm³ for Density

$Volume = \frac{1,05\ kg}{4.2\ g/cm^3}$

Convert 1.05 kg to grams

$Volume = \frac{1.05 * 1000\ kg}{4.2\ g/cm^3}$

$Volume = \frac{1050 \ kg}{4.2\ g/cm^3}$

$Volume = 250cm^3$

Next is to determine the Area of the brass;

$Volume = Height * Area$

Substitute 250cm³ for Volume and 4mm for Height

$250cm^3 = 4mm * Area$

Convert mm to cm

$250cm^3 = 4 * 0.1cm * Area$

$250cm^3 = 0.4cm * Area$

Divide both sides by 0.4cm

$\frac{250cm^3}{0.4cm} = \frac{0.4cm * Area}{0.4cm}$

$\frac{250cm^3}{0.4cm} =Area$

$625cm^2 = Area$

$Area = 625cm^2$

Lastly, we'll calculate the length of the brass

Since the brass is square based;

$Area = Length^2$

Substitute 625cm² for Area

$625cm^2 = Length^2$

Take square root of both sides

$\sqrt{625cm^2} = Length$

$25cm = Length$

$Length = 25cm$

Hence, the length of the square brass is 25cm

5 0

2 years ago