The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. the table used to place bets contains 38 numbers, and each number is assigned to a color and a range. what is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6?

The solution to the coordinates of A,B,C as (6,3),(-3,5),(4,-2) and the prove that ∆PBC/∆ABC=x+y-2/7​ is given in the image attached.

This is known to be that which is created by two part that are known to give the latitude and longitude position of a person or place.

Therefore, The solution to the coordinates of A,B,C as (6,3),(-3,5),(4,-2) and the prove that ∆PBC/∆ABC=x+y-2/7​ is given in the image attached.

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The system of equations of two unknowns is formulated and solved.

      [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ x\times y = 4 \\ x^2+y^2 = 17 \end{matrix}\right. \ \Longrightarrow \ y=\dfrac{4}{x}} \end{gathered}$}[/tex]

        [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x^2+\left (\dfrac{4}{x} \right )^2=17\ \Longrightarrow\ x^4+16=17x^2 } \end{gathered}$}[/tex]

                                                       [tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{align*} 0&=(x^2)^2-17(x^2)+16\\ =(x^2-16)(x^2-1) \\ \ \ \ \ \ \ \ \ \ \ =(x+4)(x-4)(x+1)(x-1) \end{gathered}$}[/tex]

Possible number pairs are 4, 1 and -4, -1 .

Answer:

11 hope this helps you and write

Answer:

see the attachment photo!

The marketing team conclusion that someone between 18 and 24 years of age is more likely never to have flown on a commercial airliner than someone 25 years or older is true based on the percentage.

The percentage for someone between 18 and 24 years of age to have flown on a commercial airline will be:

= 216/279 × 100.

= 77.4%

The percentage for someone that is 25 years older to have flown will be:

= 2210/2988 × 100

= 74%

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Answer:

  x ≈ 95.6

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. Here, the hypotenuse of the triangle and the side adjacent to the given angle are marked, so the relationship of choice is ...

  Cos = Adjacent/Hypotenuse

__

Using the values shown, we have ...

  cos(15°) = x/99

Solving for x gives ...

  x = 99·cos(15°) ≈ 95.6

The length of the side marked x is about 95.6 units.

[tex]2x^6y^2[/tex]The equivalent expression to the given expression is [tex]2x^6y^2[/tex] (option D)

An expression in mathematics is a fusion of numbers, variables, and operators that embodies a mathematical entity. Expressions possess the ability to symbolize magnitudes, functions, and connections, exhibiting versatility and finesse.

Expressions are used in many different areas of mathematics. They are used to represent quantities, functions, and relationships.

To determine the given expression, lets start:

[tex](12x^9y^4)/(6x^3y^2)[/tex]

= [tex](12/6) x^(^9^-^3^) y^(^4^-^2^)[/tex]

= [tex]2x^6y^2[/tex]

Therefore, the equivalent expression to [tex](12x^9y^4)/(6x^3y^2)[/tex] is [tex]2x^6y^2[/tex]

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The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4

The formula for calculating the axis of symmetry is expressed as:

Axis of symmetry x = -b/2a

h(x) = 5x^2 + 40x + 64

a = 5 and b = 40

Answer:

x = (y - b)/m.

Step-by-step explanation:

y=mx+b      

Subtract b from both sides :-

y - b = mx

Divide both sides by m:-

(y - b) /m = x.

Answer:

If I am not mistaken the number is 54,810.

Hope I helped.

Answer:

y = -2x - 6

Step-by-step explanation:

We know that the slopes of the lines are equal when the lines are parallel to each other.

So, the equation of the given line is y = -2x + 2.

Here,

y = mx + c

y = -2x + 2

slope ⇒ m ⇒ -2

Therefore, the slope of the new line will be ( - 2 ).

And now we have to find the y-intercept ( c ).

For that let us use the given coordinate.

( -6 , 6 ) ⇒ ( x , y )

To find the y-intercept we have to make c the subject of the equation y mx + c.

Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.

Let us solve it now.

y = m x + c

6 = -2 × -6 + c

6 = 12 + c

6 - 12 = c

-6 = c

Now we have found that,

m ⇒ - 2

c ⇒ -6

And now let us write the equation of the line.

y = m x + c

y = -2x - 6

Step-by-step explanation:

un is the balance of the loan after n years.

so,

u12 is the balance of the loan after 12 years.

Step-by-step explanation:

Solve the following equation for x.

10 = 2 – 4(ar – 3)

OA. -

a

OB.

Oc.

OD.

5

a

The equation for the (x-4)²2 is  5. x=4± √5. Hence, option D is correct.

Due to the fact that they contain two or more algebraic terms, quadratic equations fall within the category of polynomial equations. It must equal 0 in order to solve a quadratic equation. There can be zero, one, or two (true) solutions to a quadratic equation.

To solve the equation (x - 4)² = 5, we can start by taking the square root of both sides:

√[(x - 4)²] = ±√5

This gives us two possible equations:

x - 4 = √5 or x - 4 = -√5

Now it can add 4 to both sides of each equation:

x = 4 + √5 or x = 4 - √5

So the solutions to the equation (x - 4)² = 5 are x = 4 + √5 and x = 4 - √5.

Thus, option D is correct.

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The given equation is wrong, the correct equation is given below-

(x-4)²2 = 5.

speed = distance/time

speed = 180/2

speed = 60km/hr

hope it helps...!!!

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule

to find the 10th term substitute n = 10 into the rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200

Answer:

time=t= 9.36 months.........

The money was in the SACCO for a time of 0.78125 years.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Given that,

Amount of money deposited or principal amount = 56,800

Rate of interest = 12% = 12/100 = 0.12

Final amount = 62,125

The formula for simple interest is,

A = P(1 + rt), where A is the final amount, P is the principal amount, r is the interest rate and t is the time.

Substituting,

56800 (1 + 0.12t) = 62125

1 + 0.12t = 1.09375

0.12t = 0.09375

t = 0.78125 years

Hence the time that the money kept for is 0.78125 years.

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Based on the table, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

In the first week, there's 9.5 pounds. This can be illustrated using the arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term

d = common difference

3rd term = a + 2d

13 = 9.5 + 2d

2d = 13 - 9.5

2d = 3.5

d = 3.5/2

d = 1.75

Therefore, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

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Answer:

h=70°

Step-by-step explanation:

h + 110° = 180° {linear pair angles}

h = 180° - 110°

h = 70°

Answer:

h=70

pa brainliest po kuya/ate

Step-by-step explanation:

pa brainliest po

Answer:

(2,-4)

Step-by-step explanation:

Here, h=2 and k=-4, so the center is (2,-4)

Answer:

-17.25

Step-by-step explanation:

a) Recall the integration by parts formula:

[tex]\displaystyle \int u \, dw = uw - \int w \, du[/tex]

Then with [tex]u = x[/tex] and [tex]dw = e^x\,dx[/tex] we have

[tex]\displaystyle v = \int e^x x \, dx = xe^x - \int e^x \, dx[/tex]

[tex]\implies \boxed{v = xe^x - e^x + C}[/tex]

since [tex]w=\int e^x\,dx=e^x[/tex] and [tex]du=dx[/tex]. (C is of course an arbitrary constant that can be determined exactly if you know the velocity at some given value of x.)

b) No?

[tex]\displaystyle \int e^xx\,dx = \int xe^x\,dx[/tex]

because multiplication is commutative. I get the feeling I'm missing something here...

The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.

The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.

There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:

P(eye shadow) = 4/20 = 1/5

This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.

The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.

We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.

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For pumpkins

Total 12mins sets

earnings

For apples

Total 12 mins

Earnings

Total earnings

Answer:

$37.60

Step-by-step explanation:

Eve earns:

Money earned from picking pumpkins:

1 hour = 60 minutes

[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 60\:minutes\\\\& = \sf \$4.00\:per\:12\:minutes \times 60\:minutes\\\\& =\sf \dfrac{\$4.00}{12\:minutes} \times 60\:minutes\\\\ & = \sf \$4.00 \times \dfrac{60\:minutes}{12\:minutes}\\\\ & = \sf \$4.00 \times 5\\\\ & = \sf\$20.00\end{aligned}[/tex]

Money earned from picking apples:

[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 48\:minutes\\\\& = \sf \$4.40\:per\:12\:minutes \times 48\:minutes\\\\& =\sf \dfrac{\$4.40}{12\:minutes} \times 48\:minutes\\\\ & = \sf \$4.40 \times \dfrac{48\:minutes}{12\:minutes}\\\\ & = \sf \$4.40 \times 4\\\\ & = \sf\$17.60\end{aligned}[/tex]

Total earned:

= money earned from picking pumpkins + money earned from picking apples

= $20.00 + $17.60

= $37.60

Answer:

Triangle ABC is not a Right Triangle

Step-by-step explanation:

The perimeter of a triangle is all of the sides added together so we can model our equation like so:

AB + BC + CA = P

or

8 + 5 + CA = 22

We first combine like terms

13 + CA = 22

Then make the variable have no numbers on its side

13 + CA = 22

-13          -13

CA = 9

So now that we know what CA is, we can determine whether or not its a right triangle

We can use the Pythagorean Theorem for this:

a^2 + b^2 = c^2   (the '^' symbol means 'to the power of')

or

5^2 + 8^2 = 9^2

Now we Solve

5^2 = 25

8^2 = 64

9^2 = 81

25 + 64 =? 81

89 does not equal 81

So Triangle ABC is not a Right Triangle

Answer:

first one

Step-by-step explanation:

because its cheap as for 1 NM it would be 10$ which is 2.5 AED so yehh

Answer:

the missing angle is 30 and the missing exterior angle is 150

Step-by-step explanation:

180-90=90-60=30

180-30=150

Answer: Exterior angle = 150 degrees

Step-by-step explanation:

Hope that helps!

:)

Answer:

slope = 1/3

Step-by-step explanation:

slope,m = vertical change/ horizotal change

that means (-3)-2/(-5)-10 or 2-(-3)/10-(-5)

and we got -5/-15 or 5/15.

So the answer is 1/3.

The number of grams of canned apple that Chantel needs for her apple-cinnamon cake is about 1400 grams.

To know the amount of canned apple that Chantel needs for her apple and cinnamon cake recipe, we must review the amount of apple that she needs for the filling of her cake.

According to the basic recipe to make this cake, we need 6 to 8 apples. Taking into account that each apple weighs about 200g, we can infer that Chantel is going to use about 1400g of canned apple as shown below.

On average we need 7 apples.

Each apple weighs 200g, so 7 apples would be 1400g.

Based on the above, Chantel needs 1400g of canned apple.

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Answer:

Step-by-step explanation:

the number that is 45% greater than 90 is :

[tex]90+90\times \frac{45}{100} = 90 + 40.5 = 130.5[/tex]