Answer:
Probability that average height would be shorter than 63 inches = 0.30854 .
Step-by-step explanation:
We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.
Also, a random sample of 4 women from this population is taken and their average height is computed.
Let X bar = Average height
The z score probability distribution for average height is given by;
Z = 
~ N(0,1)
where, 
= population mean = 64 inches
= standard deviation = 4 inches
n = sample of women = 4
So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)
P(X bar < 63) = P( < 
) = P(Z < -0.5) = 1 - P(Z <= 0.5)
= 1 - 0.69146 = 0.30854
Hence, it is 30.85% likely that average height would be shorter than 63 inches.
Answer:
wilma is 22.5 mph
fred is 25.5 mph
Step-by-step explanation:
Time:40 minutes, or 2/3 hours
Speed:
Fred:x+3
Wilma: x
Distance:32 miles
2/3(x+x+3)=32
2/3(2x+3)=32
1 1/3x+2=32
4/3x=30
x=22.5
wilma is 22.5 mph
fred is 22.5+3= 25.5 mph
Answer:
See explanation below
Step-by-step explanation:
Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.
Add all the numbers then divde by how many numbers there are so the total divde by 8
