Answer:
31 pennies
Step-by-step explanation:
Given that:
Breaking the number of pennies into 2 groups, there is 1 penny left over.
Breaking the pennies into 3 groups, there is 1 penny left over.
Breaking the pennies into 5 groups, there is 1 penny left over.
Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.
So that;
31 = 15 + 15 + 1 = 2 groups + 1
31 = 10 + 10 + 10 + 1 = 3 groups + 1
31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1
There are 31 pennies.
Answer:
Length of AB is 8cm
Step-by-step explanation:
It is a Pythagorean triple; 6,8,10
That is,
AB=√AD²-BD²
AB=√10²-6²
AB=√100-36=√64=8units
The probability of picking a green jelly bean with the first pick is 4/14 = 2/7, because there are 14 jelly bean in total (6 red + 4 green + 4 blue) and 4 of them are green.
If you pick a green jelly bean at the beginning, you have 13 jelly beans remaining, of which 6 are red. So, the probability of picking a red jelly bean is now 6/13.
You want these two events to happen one after the other, to be more precise you want to pick a green jelly bean with the first pick AND a red jelly bean with the second pick. We know the probabilities of the two events, so we have to multiply them to get the probability of them happening both:
