Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time

Answers

Answer 1

Answer:

The answer is "0.36".

Step-by-step explanation:

we assume, that they are not blood-relatives, then we need both the dates (birth and death)

Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.

Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])

Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]

S Year of birth'

After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.

Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):

[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]

For just a mathematician, are using the same rationale 2.

By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):

[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]


Related Questions

please help i have a c

Answers

Answer: the last option

Step-by-step explanation:

the top right is I, the top left is II, the bottom left is III, and the bottom right is IV

Answer:

D.  R is in the 4 quadrant

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

A tropical punch recipe calls for 300 ml of sugar for every 222 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

Answers

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

A club will create t-shirts for a fundraiser. The club members need to compare the cost of creating the t-shirts between
two companies. Company A charges $30 for setup, plus $5 per t-shirt. Company B charges $15 for setup, plus $7 per
t-shirt. The situation is shown on the graph below. Which option best interprets the results from the graph?
A) For orders less than or equal to 7 shirts,
the cost of using Company A is less.
B) For orders less than or equal to 8 shirts,
the cost of using Company A is less.
C) For orders less than or equal to 7 shirts,
the cost of using Company B is less.
D) For orders less than or equal to 8 shirts,
the cost of using Company B is less.

Answers

It’s D). You’re welcome :)

find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years ​

Answers

Answer:

A= ₹3,112.72

CI = ₹1,112.72

Step-by-step explanation:

Here P = ₹ 12000

Since, interest is compounded half yearly.

Therefore, R = 6/2 = 3%

n = 3/2* 2 = 3 half years

[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]

[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]

[tex] \therefore A= 12000\times 1.092727 [/tex]

[tex] \therefore A= 13,112.724 [/tex]

[tex] \therefore A=Rs. \:13,112.72 [/tex]

CI = A - P

CI = 13,112.72 - 12000

CI = ₹1,112.72

Terry the plumber charges a base fee of $40 for each visit to someone's home plus $25 each hour for
labor. When Kathy received her bill after he came to fix a leak in her sink, the total charge was $152.50.
How many hours did Terry work on Kathy's sink?

Answers

Answer:

4.5 hours

Step-by-step explanation:



In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is

Answers

Answer:

B = 34 C = 108 F = 94

Step-by-step explanation:

Answer:

B = 34   C = 108   F = 72

Step-by-step explanation:

It's not my answer look in the comments for the other answer :P

find the median for each set of data 4,12,7,6,10,5,11,8

Answers

Answer:

7.5

Step-by-step explanation:

The median is the middle data in a set. To find the median first order the set for least to greatest. In this case, 4,5,6,7,8,10,11,12. Then find the number in the middle, however, because there is an odd number of data you must take the mean of the two middle numbers. The two numbers in the middle are 7 and 8, so to find the mean of these numbers add them then divide by the number of terms, aka 2. (7+8)/2=7.5, therefore the median must be 7.5.

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.

Answers

Answer:

the answer is B I think sorry if I'm wrong

We want to check if function A has a greater initial value than function B. We will see that Emma is incorrect, the correct option is the third one.

Linear equations:

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept (we can also call the y-intercept as the initial value).

For function A we can see that the initial value is y = -2

While for function B we need to find it, but by looking at the table, we can see that for each increase of 2 units in the x-variable we have an increase of one unit on the y-variable.

Then we can see that for x = 0, we would have y = 1.

Meaning that the initial value of function B is y = 1, which is greater than the one for function A.

Then Emma is incorrect, the correct option is the third one.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

can someone help me !

Answers

Answer:

45

Step-by-step explanation:

180 - 75 = 105

105 - 15 = 90

45 x 45 = 90

Answer:

75+2x+15=180

2x=90. x=45

I need help please ​Will mark brainliest

Answers

Answer:

which ones do you need answered

Step-by-step explanation:

Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita u see to prepare the bread

Answers

Answer:

if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour

Step-by-step explanation:

Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.​

Answers

Answer:

⇒  Draw a line segment AB=5.5cm

⇒  Take A as a center and draw an angle of 45

o

.

⇒  Cut off AD=5cm

⇒  Take D as a center with radius 4.5cm and draw an arc.

⇒  Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.

⇒  Join BC and CD.

∴  ABCD is a required quadrilateral.

Step-by-step explanation:

hope this helps!

PLS HELP ASAP!!! MARKING BRAINLIEST AND GIVING 30 POINTS!! PLEASE EXPLAIN YOUR WORK AND GET THIS CORRECT!!

Mr. Ruiz reads that 408 students at Oakdale Middle School take the bus. Bus riders represent 60% of the total number of students at the school. Mr. Ruiz wants to know the total number of students at Oakdale Middle School

Answers

60% of total = 408 —> 408/.60 —> 680

Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.

Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.

X -4, -3,-2,-1,0
y-

Answers

the rest of the table is Y: 2, -1,-2,-1,2 then graph it using these points (-4,2) (-3,-1) (-2,-2) (-1,-1) (0,2)
Oh yeah lol yeah I’m pretty

What is the value of x?
Enter your answer in the box.

Answers

Answer:

7

Step-by-step explanation:

Kurt has 26 plant on his porch his neighbor gives him p more plants. Now he has 31 plants in all a. Write an equation to represent the situation

Answers

Answer:

26 + 5 = 31

Step-by-step explanation:

Please pick me as brainliest

Answer:

31-26=p

Step-by-step explanation:

if you need the p value, its 5

to find the p value, subtract 26 from 31

hope this helps

please mark brainliest

There are 9 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?

Answers

3 subcommittees

explanation: 9/3=3
9 members
3 in each sub committee

Assuming each person can only be in 1 subcommittee....
9/3 is correct (3 is the answer)

If persons can serve on multiple committees, the number would be much larger. Closer to 81

Solve the inequality.
n - 21 > 16

Answers

Answer: N>37 or (37,♾)
Why:cause I’m pretty sure it should be that

Answer:

n>37

Move all all terms not containing n to the side of the inequality.

The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Given :  last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7  

Colin plays cricket again on Sunday. He gets 29 runs.

To find : a) Work out Colin's mean score.

b) What is his new mean score

Solution:

last 10 run scores Colin got in cricket

1, 16, 5, 25, 26, 32, 5, 7, 1, 7

Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7  = 125

Total Innings = 10

Mean Score = 125/10  = 12.5

Colin plays cricket again on Sunday. He gets 29 runs.

=> New Total Score   = 125 + 29 = 154

New Total Innings   = 10 + 1 = 11

New Mean Score    = 154/11  = 14

Mean Score = 12.5

New Mean Score  = 14

Hope this helps! ;)

Answer:

The following are the last 10 run scores Colin got in cricket:

32, 2, 0, 25, 34, 24, 6, 23, 17, 34

a) Work out Colin's mean score.

b) Colin plays cricket again on Sunday. He gets 23 runs.

What is his new mean score?

Give your answers as decimals.

Step-by-step explanation:


Kylie is creating a scale drawing of her bedroom. The actual length of her bodis 75 inches fi inch on her drawing represents 2 feel how long should her bed
be in the drawing?

Answers

Answer:

77 feet

Step-by-step explanation:

what do you do with points

Answers

Answer: i think you need them to ask questions

Step-by-step explanation: whenever you ask a question it shows your questions and how many you need, so you have to answer questions to get some.

help me please im dumb

Answers

Answer:

I believe the answer is true.

Step-by-step explanation:

Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3

Answer:

its true.

because BEDMAS.

^

|

B( bracket )

3(x-6)
it says too expand and simplify it plz help

Answers

Answer:

3x-18

Step-by-step explanation:

To expand this you must use the distributive property to distribute the 3. Using this property you can multiply the x and -6 by 3. So the expanded equation would first look like x*3 + -6*3. Then simplify to get 3x-18.

Answer:

3x-18 expanded

Step-by-step explanation:

x-6 simplified

use the distributive property to expand the expression

3*x= 3x

3*-6=-18

to simplify,

find the GCF and solve

gcf= 3

3x/3=1x or just x

-18/3=-6

hope this helps

please mark brainliest

Find the equation of the line y=___x+___

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

...............................

Y=3x+3/1 should be right

Pls help! It has to be due by 5pm.

Answers

Answer:

11 and 3/4 in further.

Answer:

I think he has to jump 11 3/4 inches further

Step-by-step explanation:

pls mark me as brainliest!

What is the image point of (-8, 7) after a translation right 5 units and up 5 units?

Answers

Answer:

(-3,12)

Step-by-step explanation:

What’s the measurement of the angle

Answers

Answer:

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

not completely sure tho

Is this correct? I’m too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

What is the Y-intercept of the graph of the linear function? What is the slope?

Answers

Answer:

The Y intercept is -5 and the slope is -5/2

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