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Ierofanga [76]
2 years ago
14

William is drafting his fantasy basketball team. He needs to select one player for each position. The following table shows how

many players are available for each position.
Position Number of players
Point guard 101010
Shooting guard 121212
Small forward 777
Power forward 222
Center 999
How many different teams could William draft?
Mathematics
2 answers:
vazorg [7]2 years ago
3 0

Answer: 15120

Step-by-step explanation:

10×12×7×2×9=15120

adoni [48]2 years ago
3 0

Answer: 15120

Step-by-step explanation:

Given: The number of players at point guard = 10

The number of  players at shooting guard = 12

The number of  players at small forward = 7

The number of  players at power forward = 2

The number of  players at center = 9

Then, the number of different teams William could draft is given by :-

10*12*7*2*9=15120

Hence, William could draft 15120 different teams.

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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
xenn [34]

Answer:

2 x minus y = negative 6 and 3 x minus y = negative 5

Step-by-step explanation:

y = 2(x+3) = 2x + 6 or 2x - y = -6

y = 5 + 3x or 3x - y = -5

7 0
2 years ago
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A manager receives 8 applications for a specific position. She wants to narrow it down to 5. In how many ways can she rank 5 app
nata0808 [166]

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

7 0
2 years ago
Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.
Usimov [2.4K]
I added a screenshot with the complete question along with its diagram

<u><em>Answer:</em></u>
∠1 = 163°

<u><em>Explanation:</em></u>
<u>1- getting angle 2:</u>
We know that ∠2 and the 17° form a straight angle. This means that their sum is 180°.
Therefore:
180 = 17 + ∠2
∠2 = 180 - 17
∠2 = 163°

<u>2- getting angle 1:</u>
We are given that lines a and b are parallel.
This means that ∠1 and ∠2 are alternating angles which means that they are equal in measurement.
We have calculated that ∠2 = 163°
This means that:
∠1 = 163°

Hope this helps :)

3 0
2 years ago
Read 2 more answers
(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is
marissa [1.9K]

Answer:

42 inches squared.

Step-by-step explanation:

Base of the Triangular Plate = 7 Inches

Height = 12 Inches

Area of a Triangle =\dfrac12 \times Base \times Height

Therefore:

T$he area of the top of the plate=\dfrac12 \times 7 \times 12\\\\=$42 inches squared.

8 0
2 years ago
Callie is comparing the costs of two options for her college education.
Ainat [17]

Answer:

Callie's comparison of two options for college education

The true statement is:

She would save $11,300 by choosing option A.

Step-by-step explanation:

Cost Analyses:

Option A:            Community College  + University               Total Expenses

Tuition & Fees    $5,800 ($2,900 x 2) + $19,000 ($9,500 x 2)    = $24,800

Scholarships       ($1,600) ($800 x 2)   + ($20,000) ($10,000 x 2)=($21,600)

Room & Board    $2,500 ($1,250 x 2)  + $23,000 ($11,500 x 2) =   $25,500

Work-Study                                            + ($4,000)  ($2,000 x 2)  = ($4,000)

Total Cost           $6,700                       + $18,000      =                    $24,700

Option B:            4 years' University

Tuition & Fees    $38,000 ($9,500 x 4)

Scholarships       ($40,000) ($10,000 x 4)

Room & Board    $46,000 ($11,500 x 4)

Work-Study         ($8,000)  ($2,000 x 4)

Total Cost          $36,000

Difference between the two options = $11,300 ($36,000 - $24,700

5 0
2 years ago
Read 2 more answers
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