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2 years ago

A gambling book recommends the following "winnin strategy" for the game of roulette:

Mathematics

1 answer:

Zinaida [17]2 years ago

4 0

Answer:

0.854 (85.4%)

Step-by-step explanation:

Since each bet is independent from others , then for X=gambler’s winnings when she quits

P(X>0) = probability to win in the first bet + probability of losing in the first bet * probability of wining at least one of the 2 additional bets

= 18/38 + (1-18/38) * [18/38*(1-18/38)+(1-18/38)*18/38+18/38*18/38 ] =0.854 (85.4%)

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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

Olin [163]

Answer:

$h = 5\ cm$

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

$h = B-5$ .

The area of the triangle is 25 cm²

By definition the area of a triangle is:

$A = 0.5Bh$

For this triangle we know that $A = 25\ cm^2$ and $h = B-5$ . We substitute these values in the equation and solve for B.

$25 = 0.5B (B-5)$

$0.5B ^ 2-\frac{5}{2}B-25 = 0$

Now we use the quadratic formula to solve the equation.

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$B=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that: $a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25$

Then:

$B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}$

$B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}$

$B=\frac{5}{2}\±\frac{15}{2}$

The solutions are:

$B_1=\frac{5}{2}+\frac{15}{2}=10$

$B_2=\frac{5}{2}-\frac{15}{2}=-5$

For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

$h = 10-5$

$h = 5\ cm$

6 0

3 years ago

-7+ 5Y = -37 simplify your answer as much as possible

irinina [24]

Answer:

y = -6

Step-by-step explanation:

To simplify this equation as much as possible, we have to get the variable y by itself.

To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.

-7 + 7 + 5y = -37 + 7

The 7s cancel out on the left side because -7+7 = 0 and so we are left with,

5y = -30

Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.

5y/5 = -30/5

y = -6

8 0

2 years ago

Pls help need ASAP Use the number line given to choose the best answer for the question.

DIA [1.3K]

Answer:

-3

Step-by-step explanation:

8 0

3 years ago

What does 10+4+9+3 equal

Usimov [2.4K]

Answer:

26.

Step-by-step explanation:

$10+4=14\\ 14+3=17\\ 17+9=26.$

8 0

3 years ago

20 equals 5 times negative 3 plus x

kotykmax [81]

Answer:

20=5*-3+x or 20=-15+x or 35=x

8 0

3 years ago