Answer:
14. 780
16. 274
hopes this helps have a great night
Step-by-step explanation:
<span>Event A is more likely...Pr(A)=(16/52)(15/51)(14/50)(13/49) .... and Pr(B)= (4/52)(3/51)(2/50)(1/49)</span>
Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:
ab=54 in^2
ac=90 in^2
bc=60 in^2
Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.
Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.
Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)
30% of them were sponge cakes ( this is because 50% were party cakes and 20% were fruit cakes = 70% which left the sponge cakes, as they were the remainder, to be 30% of what she baked.)
