You are at a European beach with 60 other visitors. 36 of them speak English. If you randomly meet two people on the beach, what is the probability that they both speak English

Answers

Answer 1

Answer:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes.  The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three.  This one is p(E >= 1|4 attempts).  We can trace out a probability tree to identify those branches that contain at least one E event.  So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =  

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS  And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619   ANS.  In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

00

Step-by-step explanation:


Related Questions

Indicate the answer choice that best completes the statement or answers the question.
✓ The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 180 120 160 1200
Cost (S)
14.00 8.00
16.00 20.00
12.00

Answers

Answer:

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Step-by-step explanation:

Given is the table,

The input is x and output is y.

We can see from the table that the x-values are increasing 40 minutes after each input and the output is increasing by equal amount i.e. $4.

The rate of change remains the same.

Hence,

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

lhasdkjhasdufoidsuhfo8sdhfoiasdhfosadf

Answers

Answer:

ugfuk jqhebwfjbc gjqjhefjqxenjwfghxhjhef


Find the exterior angle measure:
47°
74°

Answers

Answer:

x = 121°

Step-by-step explanation:

The exterior angle is equal to the sum of non-adjacent interior angles

x = 74° + 47°x = 121°


Find the square

X^2+2x=35

Answers

Answer:

x=-7,5

Step-by-step explanation:

WILL GIVE BRAINLIEST IF CORRECT!!
Ignore the $
Find $n$, such that $n$ cubed equals the square root of one million.

Answers

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

[tex]Constructing\ an\ equation\ from\ the\ information\ provided\ about\ n,\\n^3=\sqrt{1,000,000}\\Now,\\ n^3=\sqrt{1000*1000}\ [Representing\ 1\ million\ in\ such\ a\ way\ that\ it\\ equals\ to\ the\ square\ of\ a\ real\ number] \\n^3=1000\\n=\sqrt[3]{1000}[Transposing\ the\ exponent\ 3\ from\ the\ LHS\ to\ its\ root\ in\ RHS]\\n=\sqrt[3]{10*10*10}\ [Representing\ 1000\ in\ terms\ of\ a\ cube\ of\ a\ real\ number]\\n=10[/tex]

A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $85. Assume that the sample standard deviation is $9. Identify the correct 95% confidence interval estimate for the population mean one-time gift donation.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.025

The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]

The confidence interval = (μ ± E) = (85 ±  1.53) = (83.47, 86.53)

The confidence interval is between 83.47 and 86.53.

What is the image point of (-7, 4) after translation left 3 units and up 5 units

Answers

Answer:

(-2,1)

Step-by-step explanation:

up and right is adding to the current point so (-7+5,4)

down and left is subtracting to the current point so (-2,4-3)

If you combine them, you get: (-7+5,4-3)-which is (-2,1)

If a line crosses the y-axis at (0, 1) and has a slope of 4/5 , what is the equation of the line?
ОА.
4y-5x=5
OB.
y- 4x = 5
O C.
5y + 4x = 5
OD. 5y - 4x = 5
I need help

Answers

What does this mean

PLEASE HELP I NEED TO KNOW THE (RIGHT) ANSWER ASAP!

Answers

Triangles are 180 degrees total so 80+40=120, subtract that from 180 and you’ll get B=60

Answer:

Its an acute so 80 also because if you measure it it shows the same as C

Step-by-step explanation:

Sorry if its wrong tho hope that helped

A store has apples on sale for $14.00 for 4 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $56.00? Complete the explanation.

Answers

Answer:

51.2 apples, but obviously you can't do that, so i think the answer would be 51 apples

Step-by-step explanation:

Math Problem, I will mark brainliet thank youu

Answers

A) 0.06 ✔✔.............

Answer:

A. [tex] 0.0 \bar6[/tex]

Step-by-step explanation:

[tex] \pink{ \huge \frac{1}{15}} = \orange{ 0.06666666....} \\ \\ \huge \purple{\frac{1}{15}} = \red{0.0 \bar6}[/tex]

Alexis reads 1/2 of a short story in five minutes. How many short stories could she read per hour?

Answers

Answer:

6 stories

Step-by-step explanation:

1 hour = 60 minutes

We can use a ratio to solve

1/2 story       x story

-------------  = ------------

5 minutes        60 minutes

Using cross products

1/2 * 60 = 5 * x

30 = 5x

Divide each side by 5

30/5 = 5x/5

6 =x

I need help please asap

Answers

Answer:

0, 1/13, 49/100, 1/2, 11/20, 8/9, 1

Step-by-step explanation:

You know the smallest is 0, largest is 1

the middle is 1/2

49/100 is slightly smaller than 1/2 or 50/100

11/20 is slightly larger than 1/2 or 10/20

1/13 is slightly larger than 0

8/9 is slightly smaller than 1

please give thanks :)

and brainliest :)

If 51% of a population will vote for Candidate A in an election, what is the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A

Answers

Answer:

The value is   [tex]P(X < 0.50 ) = 0.43133[/tex]

Step-by-step explanation

From the question we are told that

    The population proportion is  p =  0.51

     The sample size is  n  =  75

Generally given that the sample size is large enough (i.e n > 30) the mean of this sampling distribution is mathematically represented as

            [tex]\mu_x = p = 0.5 1[/tex]

Generally the standard deviation of this sample distribution is mathematically represented as

                [tex]\sigma = \sqrt{\frac{p(1- p)}{ n} }[/tex]

=>          [tex]\sigma = \sqrt{\frac{0.51 (1- 0.51 )}{75} }[/tex]

=>          [tex]\sigma = 0.058[/tex]

Generally the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A is mathematically represented as

          [tex]P(X < 0.50 ) = P( \frac{ X - \mu_x }{\sigma } < \frac{ 0.50 - 0.51 }{0.0578 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>       [tex]P(X < 0.50 ) = P( Z < -0.1730 )[/tex]

From the z table  the area under the normal curve to the left corresponding to   -0.1720  is

        [tex]P( Z < -0.1730 ) = 0.43133[/tex]

So

         [tex]P(X < 0.50 ) = 0.43133[/tex]

A reflector on the inside of a certain flashlight is a parabola given by the equation y = x2– 25. Find the points where
the reflector meets the lens by finding the values of x when y = 0.

Answers

Answer:

[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]

.

Step-by-step explanation:

[tex]\to y = 0[/tex]

[tex]y = x^2 - 25[/tex]

[tex]x^2 - 25 = 0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

.

[tex]x = 5[/tex]

[tex]x = -5[/tex]

The point where the reflector meets the lens is ± 5.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.

Now the points where the reflector meets the lens are,

0 = x² - 25.

x² = 25.

x = ± 5.

learn more about quadratic equations here :

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x + y = -3 ; y= x +3

Answers

So what’s the question ?

Answer:

i dont know

Step-by-p explanation:

A store is having a sale. All items for sale are discounted 15%. If the regular price of a bedspread is $45, what is the sale price?

(I NEED THIS QUICK)

Answers

Answer:

$38.25

Step-by-step explanation:

45 × 0.15 = 6.75

45 - 6.75 = 38.25

The sale price of the item will be $38.25

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a store is having a sale. All items for sale are discounted by 15%. the regular price of a bedspread is $45,

The discounted price will be calculated as:-

45 × 0.15 = 6.75

45 - 6.75 = $38.25


Therefore, the sale price of the item will be $38.25

To know more about percentages follow

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The area of a square is 144 cm' and one of
its sides is (x + 2) cm. Find x and then theside of the square​

Answers

Answer:

The side of the square is 12 cm and x = 10 cm.

Step-by-step explanation:

Since it's a square, it's sides have the same length.

Hence, since one of it's sides is x + 2, the other side must be x + 2 as well.

Therefore, we can set up an equation:

[tex](x + 2)^{2} = 144 cm^{2}[/tex]

[tex](x + 2) = \sqrt{144cm^{2}}[/tex]

[tex]x + 2 = 12 cm[/tex]

[tex] x = 10 cm[/tex]

Hence, the side of the square is 12 cm and x = 10 cm.

Hope this helped!

Claude owns a store. Every year, he pays
O sales tax
O corporate tax
O marginal tax
O personal property tax

Answers

Answer:

B

Step-by-step explanation:

Claude owns a store. Every year, he pays corporate tax. Option B is correct.

Claude owns a store. Every year, he pays _____.
Black space to be filled from the following option,
A. sales tax B. corporate tax C. marginal tax D. personal property tax

What is corporate tax?

A corporate tax is a tax levied on the net gain of an enterprise that is taxed at the commodity level in a particular mark. Net gain for corporate tax is commonly the financial statement of net gain with transformations and may be defined in detail in the tax system of each country.

Since the store owner mostly pays the corporate tax besides there, sales tax is paid by the company owners, marginal tax is also paid by the production companies, and personal property tax is paid by any person.

Thus, Claude owns a store. Every year, he pays corporate tax. Option B is correct.

Learn more about corporate tax here:
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24) A hotel contains 180 rooms divided equally among a number of floors, each floor
contains 15 rooms. How many floors are there in this hotel?
Answers please, and will this be multiplication or division?​

Answers

Answer:

Well 180 divided by 15 is 12 so that said there would be 12 floors

So

1 floor 15

2 floor  30

3 floor  45

4 floor 60

5 floor  75

6 floor 90

7 floor  105

8 floor 120

9 floor 135

10 floor  150

11 floor  165

12 floor 180

Hope that helps

Magela is modeling 2.56/4. How should she exchange the place-value blocks so she can make 4 equal shares?

Answers

Answer:

i think you could......

Step-by-step explanation:

There is n arithmetic means between 2 and 46 such that the first mean: last mean is 1:7. find the value of n.

Answers

Answer:

n = 10

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as:

Tn  = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Let the sequence be 2, T1, T2, T3...Tn, 46

The common difference is expressed as d = b-a/n+1

T1 = 2 + d

Given b = 46 and a = 2

d = 46-2/n+1

d = 44/n+1

T1 = 2 + (44/n+1)

T1 = 2(n+1)+44/n+1

T1 = 2n+2+44/n+1

T1 = 2n+46/n+1

Similarly;

Tn =  2 + nd

Tn = 2 + n(44/n+1)

Tn = 2 + 44n/n+1

Tn = 2(n+1)+44n/n+1

Tn = (2n+2+44n)/n+1

Tn = 46n+2/n+1

If the ratio of the first mean to last mean is 1:7 then T1/Tn = 1/7

(2n+46/n+1)÷(46n+2/n+1) = 1/7

2n+46/n+1 * n+1/46n+2 = 1/7

2n+46/46n+2 = 1/7

Cross multiply and solve for n:

46n + 2 = 7(2n + 46)

46n + 2 = 14n + 322

46n - 14n = 322-2

32n = 320

n = 320/32

n = 10

Hence the value of n is 10

greatest number which divides into 304 to leave
remainder of 4 and which also divides into 298 to leave a remainder of 4.

Answers

Answer:

answer is 6

Step-by-step explanation:

BRAINLIST AND EXTRA POITS

Answers

Answer:

(4.75, 2.25)

Step-by-step explanation:

When reflected across the x-axis, the y-coordinate becomes its opposite.

So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.

(4.75 , -2.25) = (4.75 , 2.25)

(4.75, 2.25)

Step-by-step explanation:

When reflected across the x-axis, the y-coordinate becomes its opposite.

So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.

(4.75 , -2.25) = (4.75 , 2.25)

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Hope watches a movie Friday night that was two and one-half hours long. On Saturday, she watched a documentary half as long as Friday’s movie. How long was the documentary?

Answers

Answer:

1 hour and 15 minutes thats how long the documentary was

Movie friday night was 2 hours and 30 minutes long.

The documentary was half as long as Friday's movie.

So it will be: [tex]\frac{2 hours .and. 30 minutes}{2} = 1 hour.and .15 minutes[/tex]

Which expressions are factors of the expression

-24xyz - 12xy + 20xyz

Answers

Answer:

xy

2xy

4

Step-by-step explanation:

A factor is a number of term you can factor out of each part of the expression/ or divide it by.

In -24xyz - 12xy + 20xyz

All three parts have xy, so it is a factor

All three don't have 12xz, because -12xy doesn't have z variable for instance.

All three have 2xy.

All three can't factor out 3y, because you can't divide 20 by 3 nicely.

All three can't factor out 4yz, because middle term -12xy doesn't have z.

All three can't factor out 12, because you can't nicely divide 20/12.

All three can factor out 4, because -24, -12, and 20 are all divisible by 4.

please give thanks by clicking heart button :)

i will give brainliest<3

Answers

Answer:

option A = 40(24) = option B = x (.1) where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

Hope this helps....

Answer:1,920

Step-by-step explanation: First find the 24$ wage. which would be 960$. then you divide that by .5 which would equal

1920

plz somebody help me i’ll give you 40 points

Answers

Answer:

-3+-2

Step-by-step explanation:

y=2 |x|
(where do I graph it? HELP​

Answers

Answer:

The graph should help :)

1/6 x 2/3? Tell me exactly how you got this answer like divide or multiply.

Answers

Answer:

?

Step-by-step explanation:

nvm idk sorry lol

Answer:

1/9.

Step-by-step explanation:

I just serperated the farctions. 1 x 2 = 2 so that's the numertaor. And 3 x 6 is 18 so that's the denominator. The answer then becomes 2/18. This is where you simplify. 2 divided by 2 is 1. And 18 divided by 2 is 9. So the answer is 1/9.

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