You bet $50 on 00 in a game of roulette. If the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. A standard roulette wheel has 38 slots numbered 00, 0, 1, 2, ... , 36. What is the expected profit for one spin of the roulette wheel with this bet?

Answer:

y = 3.5 + (1/8)x

Step-by-step explanation:

Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:

Speed = distance / time.

The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.

Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:

Speed = distance / time

1/8 = distance / x

distance = (1/8)x miles.

y = sum of the distance to Charlestown and the distance from Charlestown to Lexington

y = 3.5 + (1/8)x

66.7

you will get the answer

Answer:

66.7

Step-by-step explanation:

The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.

The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.

Finally, you add both of the distances. (42.6 + 24.1)

You get the answer 66.7 kilometers.

Hope this helps!

Answer:

a) We reject H₀ we have enough evidence for that

b) 1.-The survey was made over a district, results will surely be different if the survey is carried out over a whole state ( considering urban and rural areas)

2.-In a district we find an equalized level of salaries, which could be associated with a similar level of habits

Step-by-step explanation:

We have to develop a proportion test. One tail-test

Population proportion mean (national proportion)  p₀  = 72 %

Sample information

sample proportion  271/300         p = 0,90      p = 90 %

We assume Confidence Interval  90 %     then α = 0,1

Test Hypothesis

Null Hypothesis                                 H₀     p   =  p₀

Alternative Hypothesis                       Hₐ    p   >  p₀

As  α = 0,1 and    

We look at z-table for z(c) and find     z(c) = 1,28

And we compute z(s)  as

z(s) = ( p - p₀ ) √  (p₀q₀/n

z(s) =  ( 0,9 - 0,72 ) /√(0,72)*(0,28)/300

z(s) =  0,18 / √0,1296/300

z(s) =  0,18/ 0,026

z(s) =   6,92

z(s) > z(c)      6,92 > 1,28

As z(s) is bigger than z(c), z(s) is in the rejection region, so we reject the null hypothesis. We have enough evidence to claim that the proportion in the district is bigger than the national one.

b)1. The survey was made over a district, results will surely be different if the survey is carried out over a whole state ( considering urban and rural areas)

2.-In a district we find an equalized level of salaries, which could be associated with a similar level of habits

Answer:

Hey there!

This question is basically asking for the least common multiple, or LCM of the three numbers.

If it is a multiple of 10, it has to be a multiple of 5. Thus, the only thing we need to do now, is find the LCM of 10 and 7, which is 70.

Thus, your answer is 70.

Hope this helps :)

Answer:

I think it is 70.

Step-by-step explanation:

I think that is the Lowest common Multiple of 5, 7 and 10:

10 = 2*5

7 = 7

5 = 5

So the LCM is 2 * 5 * 7 = 70.

Answer:

x = 0

Step-by-step explanation:

[tex]4+9(3x-7)=-42x-13+23(3x-2)\\4+27x-63=-42x-13+69x-46\\27x+4-63=-42x+69x-13-46\\27x-59=25x-59\\2x-59=-59\\2x=0\\x=0[/tex]

Answer:

7/44

Step-by-step explanation:

First find the total number of presidents.

2 + 7 + 13 + 12 + 7 + 3 = 44

There were 7 presidents that were 45-49 when elected.  Divide this number by the total number of presidents to find the fraction.

7/44 ≈ 0.159

Answer: 2neters

Step-by-step explanation: I also recently did it on Khan academy

The height of the tent of the figure is H = 2 m

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the tent be represented as V

Now , the value of V is

V = 4.5 m³

Let the height of the prism be H

Now , the base of the triangle B = 1.5 m

And , the length of the tent L = 3 m

So , Volume of Prism = B x h

4.5 = ( 1/2 ) x 1.5 x H x 3

On simplifying , we get

4.5 = 2.25H

Divide by 2.25 on both sides , we get

H = 2 m

Hence , the height of the tent is 2 m

To learn more about volume of prism click :

https://brainly.com/question/11336446

#SPJ3

The complete question is attached below :

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 4.5 m^3. Syrus isn't sure if the tent will be tall enough for him to stand inside. What is the height of the tent?

Answer:

The elevation of the airplane decreases by 9 km.

Step-by-step explanation:

We use the distance-rate-time formula: d = rt.

Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:

d = rt

d = 0.15 * 60 = 9 km

So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.

Thus, the answer is: the elevation of the airplane decreases by 9 km.

~ an aesthetics lover

Answer:

The elevation of the airplane _decrease_ by __9____ km

Step-by-step explanation:

Take the rate and multiply by the time to get the distance traveled

-.15 km per minute * 60 minutes

- 9 km

The plane will go down 9 km in that 60 minutes

Answer:

56

Step-by-step explanation:

Answer:    The loss is 4%  

Step-by-step explanation:

Lets call litches that are 20 pcs per Rs 100  - litches A

that are 30 pcs per Rs 100- litches B

So a man can buy 2 pcs A per Rs 10

and 3 pcs B per Rs 10

OR

6x  pcs  A per  Rs  30x  

and 6x  pcs  B  per  Rs  20x

Now he gonna sell the 12x  litches  for y Rs

Lets find y from the proportion

12x  cost y

25   cost 100

y/12=100/25

y=48  Rs

So the man bought 6x A + 6x B  for 20x+30x=50 Rs

And then he sold them for 48 Rs

Obviously the man gonna loose the money.

Lets find the losses in %

(50-48)/50*100=200/50=4%

The loss is 4%  

Answer:

86.9

Step-by-step explanation:

Find the number in the tenth place 9 and look one place to the right for the rounding digit 4 Round up if this number is greater than or equal to 5 and round down if it is less than 5

Hope this can help

Answer:

1. 115 chocolates were added

2. 861 visitors in September

Step-by-step explanation:

1.

Initially:

m=number of mints

60% of 230 sweets were mints  =>

m = 230*0.6 = 138 mints

initial number of chocolates, c1  =  230 - 138 = 92

Now chocolates were added

138 mints represented 40% of the total number of sweets, so

total number of sweets  = 138 / 0.4 = 345

Number of chocolates added = 345 - 230 = 115

2.

In August 36% were locals, 64% were from elsewhere.

In suptember,

locals decreassed by 25% to 36*0.75=27% (of August total)

foreigner increased by 50% to 64*1.5=96% (of August total)

Total Inrease = 96+27-100 = 23% of August total  = 161 visitors

August total = 161/0.23 = 700 visitors

September total = 700 + 161 = 861 visitors

Answer:

34.26 mm²

Step-by-step explanation:

To find the shaded region we must find the total area of the half-circle and then substract from it the area of the triangle

Let A be the area of the half circle

A = r²*π   where r is the radius

A = 4²π = 16π mm²

Let A' be the area of the triangle

A' = (b*h)/2   where b and h are respectively the base and the the height

A'= (8*4)/2 = 16

Let A" be the area of the shaded region

A" = A-A'

A" = 16π -16 = 34.26 mm²

Answer:

0.5216

Step-by-step explanation:

Given the function  y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;

[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]

Hence, the pattern of attractor for the equation y is 0.5216

Answer:

j = 44/3

Step-by-step explanation:

j varies jointly as g and v. This can be represented mathematically as:

[tex]j \alpha gv\\j = kgv[/tex].............(1)

Where k is a constant of proportionality

j = 2 when g = 4 and v = 3

Substitute these values into equation (1)

2 = k * 4 * 3

2 = 12 k

k = 1/6

when g = 8 and v = 11:

j = (1/6) * 8 * 11

j = 44/3

Answer:

a. Total amount after 65 years = $1179415.39

b. The total contribution to the account  = $288000

Step-by-step explanation:

Given annuity amount = $1800

Total number of years for contribution = 65 – 25 = 40 years

Interest rate  = 6%

a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]

Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)

Total amount after 65 years = $1179415.39

b. The total contribution to the account =1800 × 4 Quarter × 40 Years

        The total contribution to the account  = $288000

Answer:

[tex]\boxed{b = -3}[/tex]

Step-by-step explanation:

[tex]\sf -11b+7 = 40\\Subtracting\ 7\ to\ both\ sides\\-11b = 40-7\\-11b = 33\\Dividing\ both\ sides \ by \ -11\\ b = 33/-11\\b = -3[/tex]

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

Answer:

Step-by-step explanation:

Firstly let us calculate the amount of hours you will have to work in a week.

Since you will have to work Mondays through Fridays, hence you will be working 5 days in a week.

Hence in a week you will work 8.5*5= 42.5 hours in a week

Since in 1 hours you are mandated to pick 45 units

Hence in 42.5 hours you will pick 42.5*45= 1912.5 units

Answer:

3 seconds

Step-by-step explanation:

0 = -16x² + 144

-144 = -16x²

9 = x²

3 = x

Answer:

Step-by-step explanation:

Given the statement "subtract y from 5", we are to express the statement mathematically. Expressing mathematically is as shown;

5 - y

Since we are removing the value of a variable y from 5, the variable we are subtracting will come last in the expression.  For example say, we want to subtract 5 from 10, since we are taking out 5 from 10, the value of 5 will come last in the expression i.e 10 - 5 not 5 - 10.

According to the statement in question, we can see that we are to subtract y from 5, therefore y will come last in our expression and will be expressed as 5 - y

Answer: 14 cans

Step-by-step explanation:

Given, Total area to paint = 400 square meters

approximately 3.28 feet in a meter.

So, 400 square meters = 400 x (3.28)² square feet

i.e. Total area to paint  = 4303.36 square feet

One gallon of paint requires for every 300 square feet.

One liter contains approximately 0.264 gallons

Then, One gallon = [tex]\dfrac{1}{0.264}\approx3.78\text{ liters}[/tex]

So, 3.78 liters paint requires for every 300 square feet.

Paint requires for each square feet = (3.78)÷(300) liters

Total paint required  = (Total area to paint ) x (Paint requires for each square feet)

= (4303.36)x (3.78)÷(300)

≈54.22 liters

Each can contains 4 liters of paint.

Smallest number of cans required = (Total paint required )÷ 4

=(54.22 ) ÷ 4

= 13.55≈ 14

Hence, 14 cans are required .

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

[tex]|x-5|=|x+5|[/tex]

Solve absolute value.

There are two possibilities.

First possibility:

[tex]x-5=x+5\\0=10[/tex]

No solution.

Second possibility:

[tex]x-5=-(x + 5)\\x-5=-x-5\\2x=0\\x=0[/tex]

Answer:

A. The model under-predicts the price of this diamond because the residual is positive.

Step-by-step explanation:

The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.

Answer:

Step-by-step explanation:

32,256,2048,16384,......,2⁵⁰

32=2⁵

256=2⁸

2048=2¹¹

16384=2¹⁴

2⁵, 2⁸, 2¹¹,2¹⁴, ….,2⁵⁰

[tex]t_{1}[/tex]=2⁵; [tex]t_{2}[/tex]=2⁸

r=2⁸:2⁵=2³

[tex]t_{n}[/tex]=[tex]t_{1}[/tex]*[tex]r^{n-1}[/tex]

2⁵*[tex]2^{3(n-1)}[/tex] =2⁵⁰

5+3(n-1)=50

3n-3=45

3n=48

n=48:3

n=16

So, 16 terms

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer: 28

Step-by-step explanation:

Answer:

x = c × sin(α)

x = 15 x sin(38)

= 9.23492

=      9.2

Step-by-step explanation:

Answer:

16. x=48 y=70

17. x=45 y=5

Step-by-step explanation:

16. This is an isosceles triangle meaning that the two angles are the same. Meaning that (x+7)=55.

55-7=48

(48+7)=55 x=48

There are 180 degrees in a triangle, so 55+55=110

180-110=70. y=70

17. This is a right angled triangle meaning that the squared part is 90 degrees. And it is also an isosceles triangle meaning that x=97.

There are 180 degrees in a triangle, and 90 is already taken, meaning that there is 90 degrees more left.

90/2=45

x=45

9✖️5=45 y=5

Hope this helps, BRAINLIEST would really help me!

Answer:

4

Step-by-step explanation:

g(x) = x² − 2x + 5

g'(x) = 2x − 2

g'(3) = 4