Answer:
0.0241 or 2.41%
Step-by-step explanation:
Since each customer has a 17% probability of ordering decaffeinated coffee, the probability of a customer ordering a coffee with caffeine is:
If customers make their decisions independently, the probability that all 20 order a coffee with caffeine is:
The probability is 0.0241 or 2.41%.
To start with we have to write down what we know. pi=3.14, r=9, arc length is 1. x is the angle we are trying to find. Saying that the radius is 9
There is an equation that states that the arc length is equal to x/360 (the fraction of the circle) multiplied by the circumference or 2 times pi times the radius.
where * means multiply.
Simplify
Take the 28.26 over to the other side of the equation, where it then it divides the 1.
This becomes:
Then the 360 is brought over to the other side and multiplies the 0.035:
And finally simplify the whole equation and we get our answer.
Answer:
There are 276 Children and 295 adults.
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 571 that have used the pool so we can write an equation as
x+y=571 (Equation 1)
and as per child $1.25 is the cost and $2.25 for every adult and collectively admissions totaled as $1008.75 so we can write the equation as
1.25x+2.25y=1008.75 (Equation 2)
Extracting the value of y from equation 1
y=571-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.25x+2.25(571-x)=1008.75
1.25x+1284.75-2.25x=1008.75
1.25x-2.25x=1008.75-1284.75
-x=-276
Cancellation of negative signs on both sides
x=276
Putting the value of x in equation 3 to get the value of y
y=571-276
y=295
[x,y]=[276,295]
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%