If these numbers are correct:
For every 242,424 cookies he needs 384,384,384 sprinkles. So how many sprinkles does he need for 606,060 cookies?
242,424/384,384,384 = 606,060/x
384,384,384 * 606,060 = 242,424 * x
232,959,999,767,040 = 242,424 * x
960,960,960 = x
Answer:
Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10
Part 2: The research board can be chosen in 32760 ways
Step-by-step explanation:
Part 1:
The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:
- n by 40 participants
- k by 4 groups
- n1, n2, n3 and n4 by 10 participants of every subgroups
We get:

Part 2:
The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.
Therefore, replacing values of:
- n by 15 doctors
- k by 4 offices
We get:

Answer:
A) Swing arcs on both sides to intersect the first two arcs created.
Step-by-step explanation:
Bisecting a segment is cutting a line into two equal parts with a line bisector.
The steps involved are;
- Placing a compass on one endpoint
- Opening the compass to a width larger than half of the segment
- Swinging an arc on either side of the segment
- While maintaining the same width, place the compass on the other endpoint
- Swing arcs on both sides of the segment to intersect the first two arcs created
- Using a ruler placed at the points of intersection of the arcs, draw the line bisector.
Sasha was now at step four.
<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.