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 give me correct answer this is major

Answers

Answer:

d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Need answers ASAP!!!!!

Answers

Answer
1/2
Why?
There are 2 sets of red cards. Each set has 13 cards, and since you have 2 sets
2*13 is 26. Which means u have half the deck 26/52 equals 1/2.

4(1-x)+2x=-3x+-3 I need helpppo

Answers

ANSWER= -7
BRAINLIEST please
Hello,

Answer is -7
Brainliest?

please help!!! if anyone knows

Answers

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

Answers

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.

Please, I need help ASAP!

Answers

Answer:

A

Step-by-step explanation:

You can eliminate B and D because it’s using [tex]\frac{g}{f}[/tex], but the question is asking [tex]\frac{f}{g}[/tex]. So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ [tex]\sqrt{7}[/tex] part of it is what makes it true.

The reason being is that the only thing that won’t make [tex]\frac{2x+1}{x^{2}-7 }[/tex] true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug [tex]\sqrt{7}[/tex] for x in the denominator you get: [tex]\sqrt{7^{2} } -7[/tex]. The [tex]\sqrt{7^{2} }[/tex] part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal [tex]\sqrt{7}[/tex].

So the answer is A:  [tex]\frac{2x+1}{x^{2}-7}[/tex], [tex]x\neq[/tex] ± [tex]\sqrt{7}[/tex]

There you go my friend!

I hope you understand and that this helps with your question! :)

what is the value of the expression of -9 x 2.2

Answers

Answer:

-19.8

Step-by-step explanation:

hope this helps!

Hadley runs several times around the
track. One lap around the track is
equal to 0.15 miles. She then runs 0.4
miles home for a grand total of 1.75
miles. Determine the number of laps
Hadley ran around the track.

Answers

1.75 - .40 is 1.35 so 1.35 divided by .15 is 9 do she ran the track 9 times

I’m really bad at geometry pls help! Thanks

The right hexagonal pyramid
has a hexagon base with equal-length sides. The lateral
faces of the pyramid are all triangles (that are exact copies of one another) with
heights of 18 ft. Find the surface area of the pyramid.

Answers

Answer:

Lateral area of the pyramid = 72 unit²

Step-by-step explanation:

Lateral surface means side part of pyramid. So we nee need to find area of 6 triangles with base 4 and height 6.

Lateral area of the pyramid = 6 x Area of 6 triangles with base 4 and height 6

Hope this helped...

What is the coefficient of the variable in the expression 6 − 4x − 8 + 2? (3 points)

Group of answer choices

A. 6

B. 2

C. −4

D. −8

Answers

Answer:

I thik the answer is B.

Step-by-step explanation:

hope this helps

Answer:

c -4

I did the math

NEED HELP ASAP!!!!!!

Answers

Answer:

x=57

Step-by-step explanation:

63+60= 123

A triangle is 180 degrees

180-123= 57

x=57

Answer:

pretty sure x = 57

Step-by-step explanation:

60 + 63 = 123

180 - 123 = 57

someone help!!??? pleaseee

Answers

Answer:

I'm not sir but I think it is ISOSCELES

graph y=3/4x-4 pls helppppppp.......,,,,,,,,,,.,,,,,

Answers

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

plug in y= 3/4x-4 into an app called Calcualtor X. you can get it on your phone


Tamika wants to predict the outcome of next Tuesday’s game, between the Nets and the Warriors.
She believes that the Warriors will score 19 points less than the Nets. Tamika also predicts that the total amount of points scored for both teams will be 207 points.

How many points does Tamika think that the Warriors will score? How many points will the Nets score?

Answers

Step-by-step explanation:

Let x be the Warriors' score. Then from Tamika's prediction, (x + 19) is the Nets' score.

Toal score = x + (x + 19) = 2x + 19 = 207.

Therefore 2x = 188 and x = 94.

Hence Tamika thinks that the Warriors will score 94 points and the Nets will score 94 + 19 = 113 points.

What is the location of the second endpoint if the first endpoint is at (5,2) and
the midpoint is at (-5,5)?

Answers

The second midpoint is (-15,8)

The school store sells markers for $0.25 each and pencils for 0.50 each.Anthony spent $ 5.50 to buy a total of 16 markers and pencils. How many markers did Anthony buy?

Answers

Answer:

The answer to your question is Antony bought 5 pens

Step-by-step explanation:

pens = p = $0.35

pencils = n = $0.15

total amount = 12

total money spent = $2.80

Process

1.- Write equations

              p  +  n  = 12                -------------- (l)

       0.35p  +  0.15n = 2.80      --------------(ll)

2.- Solve the system of equations by elimination

Multiply equation l by - 0.35

        - 0.35p - 0.35n = -4.2

          0.35p + 0.15 n = 2.8

             0      - 0.2n = -1.4

Solve for n

                        n = -1.4 / -0.2

                        n = 7      He bought 7 pencils

3.- Find the value of p

             p + 7 = 12

             p = 12 - 7

             p = 5                He bought 5 pens

Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8

Answers

Answer:

D: 5:2

Step-by-step explanation:

40:16 simplified is 5:2

The simplest form of the ratio 40:16 is 5:2.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).

First, let's find the GCF of 40 and 16.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 16 are 1, 2, 4, 8, and 16.

The largest number that appears in both lists is 8.

Therefore, the GCF of 40 and 16 is 8.

To simplify the ratio, we divide both terms by 8:

40 ÷ 8 = 5

16 ÷ 8 = 2

Thus,

The simplest form of the ratio 40:16 is 5:2.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ7

If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)

A. 4x3 − 31x + 154x3 − 31x + 15

B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15

C.4x3 − 19x + 154x3 − 19x + 15

D.4x3 + 20x2 − 19x +15

Answers

Answer: 4x³-19x+15

Step-by-step explanation:

We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).

[tex](2x+5)(2x^2-5x+3)[/tex]                               [distribute by FOIL]

[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex]           [combine like terms]

[tex]4x^3-19x+15[/tex]

Now we know [tex]4x^3-19x+15[/tex] is the correct answer.

HELP
Which BEST describes the system of equations graphed on the coordinate plane?

Answers

I think it’s B! Inconsistent

If the relative frequencies are 0.48 and 0.52, which
conclusion is most likely supported by the data?
O There is likely an association between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are not similar in value.
O There is likely an association between the
categorical variables because the relative
frequencies are both close to 0.50.

Answers

Answer:The Last One

Step-by-step explanation:

Option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.

What is relative frequency?

The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted. The sum of all relative frequencies will be one.

For the given situation,

The relative frequencies are 0.48 and 0.52.

A two-way frequency table can be used to show, analyze, and examine the relationships that exists between two categorical variables.

The two relative frequencies have the values that are similar to (close to) each other. So, there will be no association between the categorical values.

Hence we can conclude that option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.

Learn more about relative frequencies here

https://brainly.com/question/12414001

#SPJ2

Please help this is my last question'



And if you can show the steps that would be appreciated but if not, that's okay too! I just need the answer! Please




4/5√50​

Answers

Answer:

all the questions we have to solve

Answer:

See below

Step-by-step explanation:

First question is not visible.

Second one is already answered

Third one is given below

[tex] \frac{4}{5} \sqrt{50} = \frac{4}{5} \times 5 \sqrt{2} = 4 \sqrt{2} \\ \\ [/tex]

ASAP!!!!!!!!!!!! I NEED HELP!!!!! I WILL MARK BRAINLIEST!!!!!!!

Answers

I think your answer is 9, as 3 divided by 9 is 0.3 is equal to 1/3
I think the answer would be 9

Need helpppp ASAP!!!!!!!

Answers

the answer is c i think
The answer is C.————————————-

if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time​

Answers

Answer:

12.5assignments

Step-by-step explanation:

50 assignments over 4 days

50/4

=12.5 assignments

Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)

Step-by-step explanation:

What is the slope of the line that passes through the points (4, 5) and (12, 7)?

Answers

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

what is the value of y for which a ll b

Answers

Answer:

110

Step-by-step explanation:

1. Convert 0.28 to a fraction.
2. Convert 3/5 to a decimal.
3. Convert 185% to a fraction.

NEED THIS DONE ASAP DO TOMORROW​

Answers

Answer:

0.28 as a fraction is 28/100 and if you need it simplified it is 7/25

3/5 as a decimal is 0.60

185% as a fraction is 185/1 or if you need that simplified it is 1 85/100

Step-by-step explanation:

Ask me if you need it simpler than that and I'll help.

If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent

Answers

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

Solve d - (-2) = 19 for d.

d =

Answers

d= 17
hope that helps :3

Answer:

d=17

Step-by-step explanation:

Negative and Negative adds up to a Positive so...

d + 2 = 19

19-2=17

d=17

PLEAZE HELP MS OUT I DONT UNDERSTAND

Answers

Answer:

cant see the pic

Step-by-step explanation:

Answer:

C.) SAS

Step-by-step explanation:

When the marks on a triangle are the same as another, they have a congruent measure.

In the given triangles, the red line and arch on both mean they have a congruent side and angle.

Since they share a side, that side is congruent for both.

So now we have a congruent side, angle, and side. This is the SAS theorem,

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