Before starting to play the roulette in a casino you want to look for biases that you can exploit. Youtherefore watch 100 rounds that result in a number between 1 and 36 and you count the number ofrounds for which the result is odd. If the count exceeds 55, you decide that the roulette is not fair.Assuming that the roulette is fair, find an approximation for the probability that you will makethe wrong decision.

Answers

Answer 1

Answer:

[tex]P(n>55)=0.1357[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=100

Sample space n'=36

Generally the equation for the mean number of times odds appears is mathematically given by

[tex]\=x_o=hp[/tex]

[tex]\=x_o=100*0.5[/tex]

[tex]\=x_o=50[/tex]

Generally the equation for standard deviation is mathematically given by

[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]

[tex]\sigma=5[/tex]

Therefore probability to make wrong decision P(n>55)

[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]

[tex]P(n>55)=0.1357[/tex]

Answer 2

An approximation for the probability that you will make the wrong decision is 0.1587.

Probability

S=Number of time that the result was odd

n=100

p=0.5

Hence:

E[S]=100×0.5

E[S]=50

Standard deviation=√100×0.5×0.5

Standard deviation√25

Standard deviation=5

Using normal approximation to the binomial

P(S≥55)=P(S-50/5 ≥ 55-50/5)

P(S≥55)=1-P(z ≤ 1)

P(S≥55)=1-0.8413

P(S≥55)= 0.1587

Inconclusion  an approximation for the probability that you will make the wrong decision is 0.1587.

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Related Questions

132.721 rounded to the nearest hundredth.​

Answers

132.72 is the answer

The angle measurements in the diagram are represented by the following expressions;

Answers

Answer:

∠A=166°

Step-by-step explanation:

∠A=∠B

7x+40=3x+112

4x=112-40

x=18

∠A=7x+40=166

Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).

Answers

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

find the greatest four digits number which is divisible by 12, 18 and 30​

Answers

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter

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Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT IS A COMPUTER TABLET AND PHONE VIRUS

Please help
i will give brainleist
Screen shot down below⬇⬇⬇

Answers

Answer:

ok

Step-by-step explanation:

i think its sependent variable

look at pic 10 pts will mark brainilest

Answers

Answer:

12h = 432

Step-by-step explanation:

A circle is centered on point B. Points A, C and D lie on its circumference.
If ZADC measures 62°, what does ZABC measure?

Answers

Answer:

122

Step-by-step explanation:

61 x 2 = 122 hope this helps:)

(2/3)^4=

am very confuse guys help!!!

Answers

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

A square postage stamp has area 1,130 mm². About how long is each side?

Answers

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:

Explain distributive property

Answers

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

Faye has $5,000 that she is going to deposit into two accounts as shown:

Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.


$15,902.83

$3,902.83

$8,902.83

$6,902.83

Answers

Answer:

$8,902.83

Step-by-step explanation:

Answer:

8,902.83

Step-by-step explanation:

I have the same question but with different answers

except 8,902.83

Find the length of the third side. If necessary, round to the nearest tenth.
15
9

Answers

The length of the third side is 12 units

How to determine  the length of the third side

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

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In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level

Answers

B, 4 degrees below freezing

Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?

Answers

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3

Answers

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

A=bh, find A when b=93 and h=69 A=

Answers

Answer:

A= 6417

Step-by-step explanation:

A = bh

b = 93

h = 69

A = 93*69

Emma earns $12 an hour babysitting. She wants to save at least $180. Write and solve and inequality to find the minimum number of hours she needs to work to reach her goal.

Answers

Answer:

15 hours

Step-by-step explanation:

180 ÷ 12 = 15

^-^

Can I have brainlest please?

Four divided by a number, b

Please help

Answers

Answer: Can you explain more?

Step-by-step explanation:

Answer:

The expression would be 4 over b : [tex]\frac{4}{b}[/tex]

Step-by-step explanation:

a fraction sign is the same thing as a division sign

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.

Answers

Believe D wjwjammlsodiejwbwbnas

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

I need help with this please:

Answers

Answer:

B and C

Step-by-step explanation:

4/7 = 0.57

2/3 > 4/7

is this khan academy?

Answer:

C

Step-by-step explanation:

Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating

You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?​

Answers

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

Learn more about rectangles here:

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I need help on this.

Answers

Answer:

the first one

Step-by-step explanation:

how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?

Answers

Answer:

The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!

Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them

Answers

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?

Answers

Answer:$2360

Step-by-step explanation:

37000-20000=17000

20000x0.05=1000

17000x0.08=1360

1000+1360=2360

Express -36/78 as a rational number with numerator 6:

Answers

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer

factor by grouping 20i^3-25i^2+4i-5

Answers

the answer is (4x-5)(5x^2+1)

What is .66666666 as a fraction?

Answers

Answer:

2/3

Step-by-step explanation:

2 divided by 3 is 0.6666666 repeated.

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