Suppose you are playing a game with one die at a casino. You win $1 if you get a 2 or a 6. You lose $2 if you get a 3, win $5 for rolling a 4, and lose $3 for rolling a 1. What is the expected value of this game? If you played the game repeatedly, would you expect to win or lose money? Why?

Answer:

If we classify the shapes shown in the picture, we can see that there are 4 triangles and one square.

First, we need to find out the formulas for the areas of these shapes.

Formula for area of triangle;

A = BH x 1/2

where b represents the base, and h represents the height

Formula for area of square;

A = a^2

where 'a' represents the length of one side of a square

Now we just plug in the actual values to these formulas:-

(Finding area of square first)

A = a^2

A = 2^2

A = 4

Now, we find the area of one triangle and multiply it by 4 because there are  four of each of those triangles.

A = BH x 1/2 x 4(no. of triangles)

A = 2(3) x 1/2 x 4

A = 6 x 1/2 x 4

A = 6/2 x 4

A = 3 x 4

A = 12

Now we add the two areas together;

4 + 12 = 16 square feet

Answer:

270°

Step-by-step explanation:

a reflex angle is an angle which is larger than 180° but smaller than 360°

an angle around a point is 360°

so to find angle B we do [tex]360-90[/tex] to give 270

so angle B is 270°

Answer:

1+1 is standard

Answer:

It is

[tex]2 \times {10}^{0} [/tex]

Step-by-step explanation:

1+1=2 and the equation above represents 2.

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Answer:

(-2, -2)

Step-by-step explanation:

Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

1+1+0+1+1+1+1+1+1+1+0+1+1+1+1+1+1+1+0+1+1+1=19

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

Option D is the correct answer.

Profit is the difference between the selling price and the cost price.

We have,

Revenue refers to the total income that a business generates by selling goods or services.

Cost refers to the total expenses incurred by a business in order to produce and sell those goods or services.

Profit is the difference between revenue and cost.

It is the money that a business makes when it sells goods or services for more than it spent on producing and selling them.

Profit is important for businesses as it allows them to invest in growth and development, pay dividends to shareholders, and sustain their operations over the long term.

Thus,

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

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Answer:

-459

Step-by-step explanation:

-52 - 407 = -552 + (-407) = -459

Answer:

46.01

Step-by-step explanation:

i.e sum of all the purchases + 7% of the total purchase.

There is a significant difference in the quality of the peaches between the two distributors because:

A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.

A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).

See options below

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.

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Answer:

5.72?

Step-by-step explanation:

5.73-0.01=5.72

Answer:

5.72 ounces

Step-by-step explanation:

It is very simple.

Subtract the 0.01 ounces of milk chocolate from the total amount of chocolate

5.73 - 0.01 = 5.72

Wyatt bought 5.72 ounces of dark chocolate.

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Answer:

a) obtain a formula for g

=> g - 32 = 52

=> g = 52 + 32

b) Solve for g

=> 52 + 32

=> g = 84

Answer:

a) obtain a formula for g

Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.

Create a variable sum to store the sum of array elements.

Traverse the array from start to end.

Update the value of sum as sum = sum + array[i]

Print the missing number as SumTotal – sum.

b) Solve for g​

g = 84

well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.

if we take 354000 to be the 100%, what is 60180 off of it in percentage?

[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]

The percent increase in the population is 17%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the population of the city increased from 354000 to 414180.

The amount of increase is:

414180 - 354000

= 60180

The percent increase is given by:

(60180/354000) × 100%

= 17%

Hence, the percent increase in the population is 17%.

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Answer:

14.7

Step-by-step explanation:

x = 22 * sin(42) = 14.7

Answer:

im guessing 11/6 but dont say that answer if nobody else agreed

Step-by-step explanation:

Answer: The answer is 4/3 or 0.75

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

When simplifying surds you need to find a square number that the number is divisible by. In this case root(72) would be divisible by root(36).

This would then turn into [tex]6\sqrt{2}[/tex]. (72 divided 36 is 2 and root(36) is 6)

Answer:

study bruh

Step-by-step explanation:

Answer:

40 and 42

Step-by-step explanation:

Let the two even numbers be x and x+2.

"One-fifth of an even number:"  (1/5)x

"one-sixth of the next even number:"  (1/6)(x+2)

Added they make 15:  (1/5)x + ((1/6)(x+2)) = 15

(1/5)x + ((1/6)(x+2)) = 15

(1/5)x + (1/6)x+(1/6)*2 = 15

(1/5)x + (1/6)x+(2/6) = 15

(6/30)x + (5/30)x = 15 - (1/3)

(11/30)x = (45/3) - (1/3)

(11/30)x = (44/3)

x = (30/11)*(44/3)

x = 40

x + 2 = 42

====

Check:

Does

(1/5)(40) + (1/6)(42) = 15?

8 + 7 = 15   YES

The two even numbers are 40 and 42

Answer:

Step-by-step explanation:

355 53/250 = 355.212

Answer:

[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Step-by-step explanation:

Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Hello!

We can use the product rule to differentiate this function.

Let g(x) = f(x) · h(x).

Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]

In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]

Differentiate each.

f(x):

Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]

h(x):
Use the chain rule.

[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]

Now, we can use the above product rule.

[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]

Answer: 120

Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.

Answer: 5.3 feet

Step-by-step explanation:

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

A meter is 100 cm, so 4 m = 400 cm.

  1 cm : 4 m = 1 cm : 400 cm = 1 : 400

Answer:

1:400 w7uwuwwuwiwiwyyyuuiyy

Answer:

x=18?

Step-by-step explanation:

oops if its expanding brackets x doesnt equal to 18

Answer:

The Value Of X Is 15x^2+52 hope it helps u

Answer: 3

Step-by-step explanation:

Answer:

Find the equation of the straight line that has slope m = 4 and passes through the point (–1, ... In the slope-intercept form of a straight line, I have y, m, x, and b. ... ...so y = ( – 2/3 ) x + 8/3