Answer:
The probability that the red card came from the first stack is:
40%
Step-by-step explanation:
a) Data and Calculations:
Stack Red Blue Total
First 6 5 11
Second 9 0 9
Total 15 5 20
The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.
The probability of red card from the first stack = 6/15 = 0.4 = 40%.
b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks. This is equal to 6/15 = 0.4 or 40%.
Answer:
13.36
Step-by-step explanation:
18.60 - 5.24
=>13.36
Hello!
First of all we will need to find the circumference, as it is the distance around the wheel. We will use 3.14 for pi.
42(3.14)=131.88
Now we multiply by three to see how far they go in a minute.
131.88(3)=395.64
Now we multiply by 5 to see five minutes.
395.64(5)=1974.2
A passenger will travel approximately 1978.2 feet in 5 minutes.
I hope this helps!
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:


Solving for B, we have:

∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
1.2 pounds of chicken per serving.
Step-by-step explanation:
4 and 4/5 of pounds of chicken for serving of 4.
We can also write this as 4.8 pounds of chicken.
To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

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