Answer:
The probability that 8 mice are required is 0.2428.
Step-by-step explanation:
Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.
To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?
Solution :
Applying binomial distribution,

Where, p is the probability of success 
q is the probability of failure q=1-p, 
n is total number of trials n=8
r=3
Substitute the values,




Therefore, the probability that 8 mice are required is 0.2428.
900 / 60 = 15
So, the plane traveled 360,000 meters in 15 minutes.
Generally, we do per hour. So, 15 mins * 4 = 60 mins or 1 hour. Because we multiplied the time by 4, we also need to multiply the distance by 4. 360,000 * 4 = 1440000 meters. The plane was traveling at 1440000 meters per hour.
However, it does not make sense to use meters for this long of a distance. I am going to convert it into miles (let me know if the question asks for a different unit of distance). 1 mile equals 1609.34 meters. Divide 1440000 by 1609.34 to get how many miles. 1440000 / 1609.34 = 894.7767408.
Therefore, the plane is going about 895 miles per hour--pretty fast!
Answer:
d
Step-by-step explanation:
16 - 2v + 3
-2v + 3 + 16
-2v + 19
Answer d
Okay, so you what you would is solve one equation for Y=mx+b and then substitute this equation for Y so the answer would be Y=-3/2x + 20
And then you would do 2x-3(-3/2x+20)=-11 and you solve it for x
But to get y you would substitute what you got for x into ether equations.
Answer:
Probability of choosing a penny at random is 1/5 or 0.2
Step-by-step explanation:
For many probabilities like this one, you have to add the total of materials or items together, even if they are different colors, shape, coin type, etc.
you have 12 pennies, 19 nickles, 14 dimes, and 15 quarters. This adds up to a total of 60 coins. Twelve of those are pennies.
You have twelve possible pennies to choose at random from a total of 60 in a bag.
So 12/60/ This simplifies to a probability of 1/5. If you divide 1 by 5 than it would be 0.2
The probability of choosing a penny from a bag of coins is 1/5, or 0.2.
Hope this helps