Recall that an American Roulette wheel has 38 possible outcomes, 18 black, 18 red and 2 green. The numbers go from 1 to 36, and the green outcomes are numbered 0 and 00. Someone places 10 bets on "1st 12", that is, that person wins if the outcome is any number between 1 and 12, included. 1. (2pts) What is the probability of losing a ’1st 12’ bet on a single spin? 2. (3pts) What is the probability of winning 7 out of the 10 total bets?

Answers

Answer 1

Answer:

American Roulette

1. The probability of losing a  ’1st 12’ bet on a single spin is:

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

= 0.23

Step-by-step explanation:

Possible outcomes in an American Roulette wheel = 38

Make-up of the outcomes = 18 black, 18 red and 2 green

Green outcomes are numbered 0 and 00

Number of wins for this person = 12

Probability of winning = 0.33  (12/36)

Number of possible losses for this person = 24

Probability of losing = 0.67 (24/36)

1. The probability of losing a  '1st 12' bet on a single spin is:

= (36 - 12)/36

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

Probability of winning = 12/36 * 7/10

= 0.23


Related Questions

I need 2 more!! So can you help

Answers

Answer:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

Step-by-step explanation:

Given:

2(a + 3) + 7a

Required:

3 equations equivalent to the given expression

Solution:

2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6

= 9a + 6

From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

What is the probability of spinning a number greater than 5 on a spinner numbered 1-8 and tossing a tail on a coin

Answers

Answer:

3/16

Step-by-step explanation:

P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16

Answer:

12/64

Step-by-step explanation:

We have numbers 1-8 = /8

We have the numbers 6, 7, 8 on the spinner = 3/8

We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8

To use if the question has two events for spinner.

We toss a coin = H or T = 1/2

We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)

3/8 x 4/8 = 12/64

sum of two numbers is 35 and the difference is 15

Answers

Answer

IM not too sure

Step-by-step explanation:

Not too sure sorry kid

Answer:

25 and 10 are the numbers

Step-by-step explanation:

The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box

Answers

Answer:

2952 square centimeters are needed to cover the exterior of the box.

Step-by-step explanation:

We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:

[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:

[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]

[tex]A_{s} = 2952\,cm^{2}[/tex]

2952 square centimeters are needed to cover the exterior of the box.


the equations are
A. y=5/3 x -5
B. y=3/5 x -5
C. y=5/3 x +5
D. y=3/5 x +5

Answers

Y₁= 5
Y₂ = 10

X₁ = 6
X₂ = 9

slope = Δy ÷ Δx
slope = 10-5 ÷ 9-6

Slope = ⁵/₃

y-y₁ = m (x-x₁)
y-5 = ⁵/₃ (x-6)

y-5 = ⁵/₃x -10

y = ⁵/₃ x -10 + 5

y= 5/3 x - 5

Option A

Answer:

A

Step-by-step explanation:

d = (4 x 180) - (3 x 90)

Answers

Answer:

d = (4 x 180) - (3 x 90) = 450

Step-by-step explanation:

d = (4×180) - (3×90)

d = (720) - (270)

d = 720 - 270

d = 450

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

A line passes through the point (-2, 7) and has a slope of -5.

What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7

I NEED ANSWERS SOON

Answers

Answer:

[tex]\boxed{a = 3}[/tex]

Step-by-step explanation:

[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]

The average mass of an adult human is about 65 kilograms while the average mass of an ant is approximately 4×10−3 grams. The total human population in the world is approximately 6.84 billion, and it is estimated there are currently about 10,000 trillion ants alive. Based on these values, about how many times greater is the total mass of living humans compared to the total mass of all living ants? Round to the nearest whole.

Answers

Find total mass:

Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg

Ants: 4x10^-3 = 0.004g

0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g

Divide total grams by 1000 to get kegs:

40,000,000,000,000 /1000 = 40,000,000,000 kgs.

Divide total mass of humans by total mass of ants:

444,600,000,000 / 40,000,000,000 = 11.115

Mass of humans is 11.115 times more than ants.

Rounded to the nearest whole number = 11 times more.

Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now. Assuming (a) interest at an annual rate of 5% compounded annually, or (b) interest at an annual rate of 6% compounded continuously, which option should she choose under the consideration of cash value only?
A) If the interest is at the annual rate of 5%, compounded annually, then the present value of the five installments is $______. B) If the interest is at the annual rate of 6%, compounded continuously, then the present value of the five installments is $______.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

what is the measure of m∠B

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (6x)° +x° +(2x)° = 180°

  9x = 180

  x = 20

  ∠B = (2·20)° = 40°

The height of a building is 956 feet, which is about 479 feet higher than another building. What is the height of the second building?
The second building has a height of feet

Answers

If the first building height is 956 feet and the height of second building is 479 feet smaller than the first one
Therefore 956-479=477 feet
Height of second building is 477 feet

MNOP is a trapezoid with bases MN and OP. If MN = 25 and OP = 23, what is the length of the midsegment of MNOP?

Answers

Answer:

24

Step-by-step explanation:

you can get the answer from the attachment

The midsegment of a trapezoid divides the trapezoid into equal parts.

The length of the midsegment of MNOP is 24

The lengths of the base are given as:

[tex]\mathbf{MN = 25}[/tex]

[tex]\mathbf{OP = 23}[/tex]

Let the midsegment be x.

So, we have:

[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]

Substitute values for MN and OP

[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]

[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]

[tex]\mathbf{x=24}[/tex]

Hence, the midsegment of MNOP is 24

Read more about midsegments of trapezoids at:

https://brainly.com/question/7511906

HURRY!! 8.1=8w- 17.5. Solve for w​

Answers

W= 3.2

Need explaining?
8.1=8w-17.5 solve for W=3.2

What is the difference between 100 and 33?

Answers

Answer:

67

Step-by-step explanation:

100 - 33 = 67

The difference between 100 and 33 is 67.

The answer is 67 if you go to your calculator app and do 67+33 it equals 100

I need help ASAP what’s the answer

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C, from the equation y=mx+c

Which of the following is an example of an irrational number? Question 5 options: A) 3∕4 B) C) D) 74∕99

Answers

Answer:

happy to help, but c and d are not included in your question

) A cyclist travels a distance of 90 miles in 5 hours. What was her average speed? 2) How far along a motorway would you travel if you drove at 70 mph for 4 hours? 3) I drive to Bude in Cornwall from Sheffield in about 6 hours. The distance from Sheffield to Bude is 315 miles. What is my average speed? 4) The distance from Leeds to London is 210 miles. The train travels at an average speed of 90 mph. If I catch the 9.30 am train in London, at what time should I expect to arrive in Leeds? 5) How long will an athlete take to run 2000 m at an average speed of 4 metres per second? 6) The distance between Sheffield and Land’s End is 420 miles. a) What is the average speed of a journey from Sheffield to Land’s End that takes 8 hours 45 minutes? b) If Sam covered the distance at an average speed of 63 mph, how long would it take him?

Answers

The answer would be 649mph

An angle that is one half its arc is a/n
angle.
Select one:
O a. exterior
O b. interior
O c. inscribed
O d. central

Answers

The answer is inscribed


The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

Can someone solve this please

Answers

Answers:

11.) 0.25

12.) 3:20

13.) 0.75

14.) 19

Answer:

Question 11: 0.25

Question 12: 3:20

Question 13: 0.75

Question 14: 19

Which students reads the faster rate in your final answer include all necessary calculations

Answers

Answer:

Connie

Step-by-step explanation:

Determine the reading rate of the three students each. The student with the highest number of pages per minute is the fastest student (i.e. reads more words per minute).

✔️Stew's Reading Rate:

2650 ÷ 10 = 265 words per minute

✔️Connie's Reading Rate:

From the graph, it shows that 200 words are read in 1 minute.

So we have, 200 words per minute.

✔️Felicia = 260 words per minute

Therefore, we can conclude that Connie is the fastest because Connie reads more words per minute, which is 265 words per minute. Connie reads at a faster rate.

Find GK pls help with this problem

Answers

Answer:

Step-by-step explanation:

IH:GH = 45:30 = 3:2

JK:GK = 36:GK = 3:2

GK = 24

The model below is shaded to represent 9/10

Answers

Answer:

0.9

Step-by-step explanation:

it is 0.9 because the 10th would put the decimal from 9.0 over one to the left so 0.9

What is the ratio of a:b, knowing that a-b/a+b = 3/5.

Answers

Answer:

4:1

Step-by-step explanation:

[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]

4-1 = 3

4+1 = 5

A puddle originally contained 7.5 gallons of water. After a hot day, only 6 gallons of water remain. What is the percent decrease? Enter your answer in the box.

Answers

Answer:

20 percent

Step-by-step explanation:

7.5 gallons - 6 gallons = 1.5 gallons

[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %

Answer:

20%

Step-by-step explanation:

First, find how much decrease there was: 7.5 - 6 = 1.5

This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:

1.5 ÷ 7.5 = 0.20

0.20 = 20% decrease

х+5y = 16
x+3y = 10
what does x and y equal

Answers

Answer:
x = 0
y = 3.5

Explanation:
x + 5y = 16 x + 3y = 10
-x -x
5y = 16 3y = 10
5 x 3.5 = 16 3 x 3.5 = 10
x=1
y=-1
THIS IS THE CORRECT ANSWER

HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!

Answers

Answer:

DB!

Step-by-step explanation:

Question a: 3+3+2+2 = 10 dinners

Question b: 15-30 and 30-45, because most people choose that range.

Hope I helped!

Answer:

a) 10 b) 2-3 dollars

Step-by-step explanation:

a) 3+3+2+2

b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3

11 + 5 + 52 x 12 – 10 =
(11 + 5) + 52 x (12 - 10) =

Answers

The first one is 630 and the second one is 120

Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?

Answers

Answer:

Step-by-step explanation:

$120

2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.

Answers

Answer:

The answer is below.

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.

In square ABCD:

AB = BC = CD = AC

Given that  P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.

a) In triangle ABP:

BC = AB (all sides of a triangle are equal)

BP = 1/2 (BC) = 1/2(AB) = 0.5AB

Using Pythagoras theorem:

AB² + BP² = AP²

substituting:

AB² + (0.5AB)² = a²

AB² + 0.25AB² = a²

1.25AB² = a²

AB² = a² / 1.25

AB² = 0.8a²

AB = √(0.8a²)

AB = a√0.8

b) In triangle ADQ:

AD = CD (all sides of a triangle are equal)

DQ = 1/2 (CD) = 1/2(AD) = 0.5AD

Using Pythagoras theorem:

AD² + DQ² = AQ²

substituting:

AD² + (0.5AD)² = b²

AD² + 0.25AD² = b²

1.25AD² = b²

AD² = b² / 1.25

AD² = 0.8b²

AD = √(0.8b²)

AD = b√0.8

c) In triangle ABD, Using Pythagoras theorem:

AB² + AD² = BD²

Substituting:

0.8a² + 0.8b² = BD²

But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²

BD = √(0.8a² + 0.8b²)

BD = √(1.6a²)     0.8a² = 0.8b²

BD = a√1.6

D) AC = AD (diagonal are equal)

AC = √(0.8a² + 0.8b²)

AC = √(1.6b²)     0.8a² = 0.8b²

AC = b√1.6

please help and explain , HURRY PLEASE !

Answers

Hiiiiiiiiiiiiii how are youuuuuuuuu
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