Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
The probability for each member to get selected from each kind is : 
or can be simplified to 
.
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
Get probability of no director.
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
Answer:
r = 6 inch
Step-by-step explanation:
Given that,
The height of a cone, h =8 inches
The slant height of the cone, l = 10 inches
We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :
So, the radius of its base is equal to 6 inches.
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
It would be: 6 4/5 / 3 2/9
= 34/5 / 29/9
You can re-write it as:
= 34/5 * 9/29
= 306/145
In short, Your Answer would be 306/145
Hope this helps!
Answer:
D
Step-by-step explanation:
65% × 78 =
(65 ÷ 100) × 78 =
(65 × 78) ÷ 100 =
5,070 ÷ 100 =
50.7;
