Answer:
a) 230300 ways
b) Check Explanation
Step-by-step explanation:
a) This is a combination problem,
We require how many ways 4 factories be placed among 50 states.
Mathematically, that is
⁵⁰C₄ ways = 230300 ways
b) If you have no idea which states will be chosen, what is the probability that all 4 factories will be located in the mid-Atlantic region.
This can be done in two ways
Method 1
The mid Atlantic region is one of 9 geographic divisions in the US
Probability of 1 factory being located in this geographic region = (1/9)
The probability of the 4 factories being in just this region = (probability of locating one factory in this region)⁴ = (1/9)⁴ = 0.0001524
Method 2
The mid Atlantic region contains only 3 out of 50 states. (New York, New Jersey, Pennsylvania)
Probability of 1 factory being located in one of the 3 stares = (3/50)
Probability of locating all four factories in one of the states in this region = (3/50)⁴ = 0.00001296.
328 mg medicine is remaining in his system after four hours .
<u>Step-by-step explanation:</u>
Here we have , Josh ingests 800 mg of ibuprofen. His body metabolizes (uses up) 20% of the medicine per hour.We need to find How much medicine is remaining in his system after four hours .Let's find out:
According to question , Josh ingests 800 mg of ibuprofen and His body metabolizes (uses up) 20% of the medicine per hour . let amount of medicine left after 4 hours is x , So Amount of medicine left after 1 hour :
⇒
Amount of medicine left after 2 hour :
⇒
Amount of medicine left after 3 hour :
⇒
Amount of medicine left after 4 hour :
⇒
Therefore , 328 mg medicine is remaining in his system after four hours .
<span>-3x + 4 = -8
First: You will subtract 4 on each side of the equal sign
You will get: -3x= -12
Next: You would divide each side by -3
You would get: x=4
Your answer would be: A, x=4
HOPE THIS HELPS! ^_^</span>
Answer:
x=9
Step-by-step explanation:
2x+10=28
Subtract 10 from both sides
2x=18
Divide by 2 on both sides
x=9
Answer:
see explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²