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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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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
Alexeev081 [22]

Answer: 387

Step-by-step explanation:

Given : Standard deviation: \sigma=2.3

Margin of error : 0.15

Critical value for 80% confidence interval = 1.2816

Required minimum sample size : n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2

\\\\=(\dfrac{1.2816\times2.3}{0.15})^2\\\\=386.16966144\approx387

Hence, the minimum sample size required to estimate the mean usage of water = 387

4 0
2 years ago
How many multiples of 2 are there between 99 and 999?
agasfer [191]

Answer:

Step-by-step explanation:

The multiples of numbers calculator will find 100 multiples of a positive integer. For example, the multiples of 3 are calculated 3x1, 3x2, 3x3, 3x4, 3x5, etc., which equal 3, 6, 9, 12, 15, etc. You can designate a minimum value to generate multiples greater than a number.

7 0
2 years ago
Which is the graph of linear inequality x – 2y ≥ –12?
galben [10]

Answer:

option D

Step-by-step explanation:

x-2y≥-12

-2y≥-x-12

y≤0.5x+6

has to be a solid line since y is less than or equal to 0.5x+6

so, options 1 and 3 are not applicable

also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)

so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer

I attached a file of this inequality's graph to prove my answer once more

4 0
2 years ago
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
lara31 [8.8K]
Y = 5.5x
The constant is 5.5 
since no matter what y and x are there will always be a 5.5 difference
5 0
2 years ago
Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are in
andrezito [222]
<h3>(a)Probability of cancelling at least 4 classes  is 0.0055.</h3><h3>(b)Probability of 10th class is third class that gets cancelled  = 0.0031</h3>

Step-by-step explanation:

Here, the question is<u> incomplete</u>.

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancellations on different days are independent.

(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.

(b) Compute the probability that the tenth class this semester is the third class that gets canceled.

Now, here:

The probability of cancelling each class  = 0.05

Now, probability of cancelling at least 4 classes

= 1 - P(Cancelling  at max 3 classes)

=  1 - P(0 ≤ x  ≤  3)   = 1 - Binomial (15,0.05,3)

= 0.0055

Hence, probability of cancelling at least 4 classes  is 0.0055.

(b) As given, 10th class is third class that gets cancelled.

So, the first and second classes that get cancelled in between 1 - 9.

P(2 class cancelled in 1st 9) = Binomial (15,0.05,3) = 0.0629

Also, as given  P(10th class cancelled) = 0.05

⇒ P(10th class is third class that gets cancelled ) = 0.0629 x 0.05 = 0.0031

5 0
2 years ago
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