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mart [117]
3 years ago
7

216 diving students to 12 instructors

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

18

Step-by-step explanation:

216 divided by 12

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There are 11 candidates for three postions at a restaraunt. One postion is for a cook. The second position is for a food server
LenaWriter [7]

Answer:

165 combinations possible

Step-by-step explanation:

This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important.  We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time.  The formula can be filled in as follows:

₁₁C₃ = \frac{11!}{3!(11-3)!}

which simplifies to

₁₁C₃ = \frac{11*10*9*8!}{3*2*1(8!)}

The factorial of 8 will cancel out in the numerator and the denominator, leaving you with

₁₁C₃ = \frac{990}{6}

which is 165

6 0
3 years ago
BD and AC are chords that intersect at point Y. What is the length of line segment AY? 2 units 3 units 4 units 6 units
Anna71 [15]

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that:  When two chords intersect each other inside a circle,the products of their segments are equal.

do

In this problem

substitute the given values

solve for x

therefore

The length of segment AY is 4 units

5 0
3 years ago
Read 2 more answers
Rylee has a pack of 40 ballons. In the pack, there are 7 red, 12 green, 11 blue, and 10 yellow balloons. When grabbing a balloon
Alika [10]

Answer:

1/4

Step-by-step explanation:

If she expects yellow, the probability of that happening is 10/40 = 1/4

So if she draws 4 balloons she should expect to get 1 yellow one.

4 0
3 years ago
I will give brainlest pls help I’m in a timer!!
krek1111 [17]

Answer:

5

Step-by-step explanation:

it equals 5 in have to put 20 ndjdjdhdh

4 0
3 years ago
Read 2 more answers
20. –3 |z| + 2(a + y) what's the answer? <br>z=-4.2 a=-2 y=3<br>​
NNADVOKAT [17]

Answer:

-10.6

Step-by-step explanation:

-3|z| + 2(a + y) =

= -3|-4.2| + 2(-2 + 3)

= -3(4.2) + 2(1)

= -12.6 + 2

= -10.6

6 0
3 years ago
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