This question belongs to greatest common factor.
49 = 7*7
56 = 7*8
So Greatest common factor = 7
Hence Susan can arrange 7 mugs on one shelf.
For 49 blue mugs, Susan can arrange 7 mugs in 7 shelves.
For 56 red mugs, Susan can arrange 7 mugs on 8 shelves.
Hence, 7 shelves are needed for BLUE mugs and 8 shelves are needed for RED mugs.
"The intersection (∩) of a pair of sets (G and H) is a third set (I) composed by the elements that belong, at the same time, to both given sets."
According to this definition:
Given the sets:
G = {3, 7, 8, 9}
H = {2, 5, 7, 8}
The Intersection is:
G ∩ H = I = {7, 8}
:-)
Answer:
The area of the resulting cross section is 
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to
we have
-----> the radius is half the diameter
substitute the values
Answer:
5 x 3 1/2 x 1 1/2
5 x 7/2 x 3/2 = 26 1/4, in decimal form: 26.25
Multiply across, but first make it all improper fractions.
Answer:
a) 0.37
b) 0.421
c) 0.25
Step-by-step explanation:
Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is
And the standard deviation:
a) the cumulative probability of winning at least 35 games is
b)
c)
