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3 years ago

Three counters are used for a board game.If the counters are tossed,how many ways can at least one counter with Side A occur?

1 answer:

3 0

We use the equation for repeated trials written below:

Probability = n!/r!(n-r)! * p^(n-r) * q^r

The p is the probability of getting a side A in one toss. Since a counter has only two side, p = 0.5. The q is the probability of not getting side A in one toss, which is also q = 0.5. Now, r is the number of success per n trials. There are 3 tosses so, n=3. The question is getting "at least 1" counter. So, r=1, r=2 and r=3.

Probability for r=1: 3!/1!(3-1)! * (0.5)^(3-1) * (0.5)^1= 0.375
Probability for r=2: 3!/2!(3-2)! * (0.5)^(3-2) * (0.5)^2= 0.375
Probability for r=1: 3!/3!(3-3)! * (0.5)^(3-3) * (0.5)^3= 0.125

Total probability = 0.375 + 0.375 + 0.125 = 0.875

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BigorU [14]

33.9% of what is 21200?

33.9% of X is 21200

Equation: P% * X = Y

Solving our equation for X
X = Y/P%
X = 21200/33.9%

Converting percent to decimal:
p = 33.9%/100 = 0.339

X = 21200/0.339 
X = 62536.8732

Furthermore you would want to round off the decimal to make it 62537 (thats if they ask you to round it off)

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3 years ago

Write an equation in slope-intercept form that passes through each pair of points. (0, 1) (-3, 1)

lina2011 [118]

Answer:

$y = \frac{0}{ - 3} + b$

Step-by-step explanation:

Slope intercept formula is y=mx+b

(m) is slope

(b) is the y intercept

We'll find slope first.

slope formula is

$\frac{y2 - y1}{x2 - x1}$

y2 and x2 are the y and x values of the second equation and y1 and x2 are the y and x values of the first equation.

So we just put the given values into our equation.

$\frac{1 - 1}{ - 3 - 0}$

Simplify

$\frac{0}{ - 3}$

Now we put this into our y=mx+b

y=0/-3x+b

now we need the (b)

to do this we take the values of one of the coordinates (doesn't matter which) and replace the (y) and (x) in our equation with them.

$y = \frac{0}{ - 3} x + b$

$1 = \frac{0}{ - 3} (0) + b$

Solve

1=0+b

b=1

Put this in our formula

$y = \frac{0}{ - 3} + 1$

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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3 years ago

WILL GIVE BRAINLIEST ANSWER

Gekata [30.6K]

First, take two points, and find the slope.

So now we have an equation:

y = 3/2x + b

Plug in the point (2,2) and solve for b.

2 = (3/2)(2) + b
2 = 3 + b
b = -1

The final equation that represents the relationship is y = 3/2x - 1.

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