C+ax=dxthis one has all variables and no numbers

1 answer:

6 0

That's OK, but you have not said which variable you want to solve it for.

To solve for 'x':
 c + ax = dx

Subtract c from each side: ax = dx - c

Subtract dx from each side: ax - dx = -c

Factor the left side: x (a - d) = -c

Divide each side by (a - d) : x = -c / (a - d) or x = c / (d - a) .

To solve for 'c': 
 c + ax = dx

Subtract ax from each side and factor: c = x (d - a) 

To solve for 'd': 
 c + ax = dx

Divide each side by 'x': d = c/x + a .

To solve for 'a':
 c + ax = dx

Subtract 'c' from each side: ax = dx - c

Divide each side by 'x': a = d - c/x .
.

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Astronomy: At is closest approach, Mars is about 5.6X10^7 km from Earth and its apparent size is about 0.00012 radians. What is

Mariana [72]

1.) D = 2pi * d * A / 360 degrees; Where:
pi = 3.14;
d = distance or 56,000,000 km (5.6x10^7 to standard notation)
A = angular size in degrees or .00688 degrees (.00012 radian to degrees)

D = 2(3.14) * 56,000,000 * .00688 / 360
= 6.28 * 385,280 / 360
= 2,419,558.4 / 360
D = 6,720.996 or 6,721

Therefore, 6,721 km. is the approximate diameter of Mars.

6 0

3 years ago

Read 2 more answers

g In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on equally spaced slots. If a pla

earnstyle [38]

Answer:

The expected value for the player to play one time is -$0.05.

Step-by-step explanation:

The expected value of a random variable X is given by the formula:

$E(X)=\sum x\cdot P(X)$

The American roulette wheel has the 38 numbers, {i = 00, 0, 1, 2, ..., 34, 35, and 36}, marked on equally spaced slots.

The probability that the ball stops on any of these 38 numbers is same, i.e.

P (X = i) = $\frac{1}{38}$ .

It is provided that a a player bets $1 on a number.

If the player wins, the player keeps the dollar and receives an additional $35.

And if the player losses, the dollar is lost too.

So, the probability distribution is as follows:

X : $35 -$1

P (X) : $\frac{1}{38}$ $\frac{37}{38}$

Compute the expected value of the game as follows:

$E(X)=\sum x\cdot P(X)$

$=[\$35\times \frac{1}{38}]+[-\$1\times \frac{37}{38}]\\\\=\frac{\$35-\$37}{38}\\\\=-\frac{\$2}{38}\\\\=-\frac{1}{19}\\\\=-0.052632\\\\\approx -\$0.05$