A=1/2(a+b)h solve equation for b

You coach a basketball ball team of 12 players; 5 players must be on the floor at all times; Figuring that every player can play

makvit [3.9K]

The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial

a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.

b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.

4 0

2 years ago

We are continuing to study the difference in average time for completion for the two matching schemes. However, this time we had

IgorLugansk [536]

Answer:

We are 95% confident that the time to completion for the same color method is between 4.617 less to 9.383 less than the different color method.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence for the difference in the completion time of treatment is and d is,

CI = (-4.617, -9.383)

The parameter of the study is defined as:

treatment_s - treatment_d

Consider the 95% confidence interval, (-4.617, -9.383). The confidence interval consists of all negative values.

This implies that the difference between the completion time of treatment s and d is less than 0, i.e. the completion time of treatment s is less than that for treatment d.

Thus, the complete statement is:

"We are 95% confident that the time to completion for the same color method is between 4.617 less to 9.383 less than the different color method."

7 0

3 years ago

Help help help help

Butoxors [25]

Answer:

g=3

Step-by-step explanation:

f(g) = g^2 +3g

Let f(g) = 18

18 = g^2 +3g

Subtract 18 from each side

18-18 =g^2 +3g-18

0 = g^2 +3g-18

Factor

0 = (g+6) (g-3)

Using the zero product property

g+6 =0 g-3 =0

g = -6 g =3

The only solution listed is g=3

5 0

3 years ago

Direct Variation - Item 2845

Brums [2.3K]

The equation of direct proportion is y = 62x

<h3>Direct variation</h3>

Two quantities are said to vary directly proportional to each other when an increase in one leads to an increase in the other or a decrease in one leads to a decrease in the other.

Direct variation is given by:

y = kx

where y, x are the variables and k is the constant of proportionality.

The equation of direct proportion is y = 62x

Find out more on Direct variation at: brainly.com/question/6499629

3 0

2 years ago

Gianna, Jada, and Brittney and a bunch of other friends had a horseshoe competition. Jada and Brittney were eliminated after two

Amiraneli [1.4K]

Answer:

23 friends

Step-by-step explanation:

Let the number of friends she has = x

Total number of gum = 47 pieces

She gave 2 each to her friends, hence:

2x + 1 = 47

2x = 47 - 1

2x = 46

x = 46/2

x = 23

Therefore, the number of friends she has is 23

4 0

2 years ago