How many different ways can a coach select the captain and co-captain of a team from a group of 20 people?A: 40
B: 160
C: 380
D: 420
Ariel wants to choose 5 players for her basketball team. there are 7 players to choose from. how many different teams can ariel make?
A: 21
B: 35
C: 42
D: 56
((question in picture))
YunoGasai030 avatar


Answer 1
Answer: The coach can select the captain in 20 ways (i.e. from all the available 20 players), and he can select the co-captain in 19 ways (i.e. after selecting the captain, there will be 19 people left).
Therefore, the coach can select the captain and the co-captain in 20 x 19 = 380 ways.
Answer 2


Step-by-step explanation:

1. Number of peoples available to choose from = 20

\text{Ways of selecting the captain from 20 people = }_(1)^(20)\textrm {C}=20

After selecting the captain number of people left among which co captain can be selected = 20 - 1 = 19

\text{Ways of selecting the co captain from 19 people = }_(1)^(19)\textrm {C}=19

Hence, Number of ways a coach select the captain and co-captain of a team from a group of 20 people = 20 × 19 = 380

Therefore, The correct option is C. 380

2. Total number of players = 7

Number of players to be selected = 5

\text{So, number of ways of selecting 5 players out of 7 = }_(5)^(7)\textrm {C}=21

Therefore, The correct option is A. 21

3. Total number of outcomes = 20

The digits 1, 2, 3, 4, 5, 6 represent the student who make a C

Number of students who make a C at least 3 times = 13

\bf\textbf{Required Probability = }(13)/(20)

Therefore, The correct option is D

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20 POINTS HELP PLZZZZZZ!!!!!!! Write the equation for the problems below. Two friends played a board game. One had 25 point and the other had 13 less than the first. Let p = points for second friend. p+25=13






"Had 13 less than the first" indicates subtraction, so eliminate answer choices A and B. 

"Had 13 less than the first" also indicates that the second friend had 13 less than the point amount of the first friend, which would mean 13 less than 25. 

Equation: 25 - 13 = p

But that isn't an answer choice, right? Because of that, we have to find an equivalent equation, one that involves subtracting 25 from p to get 13.

Your answer is "p - 25 = 13"

Approximate the solution to the equation f(x)=g(x) using three iterations of successive approximation. Use this graph as a starting point. (It’s not x= -7/8)

In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x^3 + 3 and g(x) = x^2 + 2.

Adjust the zoom level of the graph so you can see the point where the two graphed functions intersect. Then, left-click on the point where the functions intersect. The values of the point you click on, rounded to the nearest hundredth, will appear for about 2 seconds.

Note: If you’re not using a mouse (or a mouse with left-click ability), perform the equivalent zoom-in action on your device to see the intersection point values rounded to the nearest hundredth.

Then, approximate (to the nearest hundredth) the solution of f(x) = g(x) from part A of this question.

15 points PLZZZZZ URGENTTT! Urgent maximum wait is 24 hours!



  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.


(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.


(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.


(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.


See the attached table for function values.


Comment on bisection iteration

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.




1/2 *b *h = (9*18)/2 = 81

Step-by-step explanation:

Area of a triangle is 1/2 * B * H

B is 18

H is 9

162 / 2 = 81



Step-by-step explanation:

Formula: 1/2BH

B = length of base

H = height

1/2(18)(9) = 81

Steve had $2.50 in dimes in the pocket of his jacket. After walking for a half hour, he discovered he had a small hole in his pocket. Two dimes dropped through that small hole every 5 minutes. How much money did Steve have then?


there are 25 dimes in $2.50. And there are 60 minutes in and hour. if he dropped 2 dime every 5 minutes. And 60 divided by 5 is 12. so he would have dropped 2 dimes 6 times. So then you have to take 2x6 which is 12. then you would take 10x12=120. then 250-120=130 and then insert the decimal giving you $1.30. So he had $1.30 left. Hope this helped

What is the solution to the equation 1/3(9x - 6) = 2x 3 ? x =


x is equal to -2/3
if you ever need anymore help with things like this you can go to mathway . com

What value of c makes the statement true? c – (–17.6) = –4






c-(-17.6)=-4\n\nc+17.6=-4\ \ \ \ |subtract\ 17.6\ from\ both\ sides\n\nc=-21.6\n\nAnswer:\boxed{A}
c-(-17.6)=-4 \n\n c+17.6=-4 \n\n c=-4-17.6 \n\n \boxed{c=-21.6\to \ variant \ A}
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