Step-by-step explanation:
There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow.
Total number of marbles = 10
Given that first marble is yellow.
New total number of marbles = 10 - 1 = 9
Now we have 3 are red, 4 are blue, 2 are green.
Number of blue marbles = 4
We need to find drawing probability of blue marble from 9 marbles.
Let the probability be, p
Probability that the second marble will be blue is 0.44
Step-by-step explanation:
The coordinates of point A (2,8) and C (5,2)
The measure of segment AC
Answer:
1,800 ft
Step-by-step explanation:
Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).
The equation that describes the internal angle of a regular polygon is:
For A = 160 degrees:
If each side is 100 ft long, the total distance that Rebecca has walked is:
She walked 1,800 ft.
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.