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3 years ago

5

Forty-five basketball players participate in a tournament. write and solve an equation to find the number x of 3-person teams th

at they can form.

1 answer:

grin007 [14]3 years ago

3 0

Given that the order of selection does not matter, it is the combination of 45 persons taken of 3.

This is (45!) / [(45-3)! * 3! ] = 45*47*46 / (3*2) = 16,215.

Answer: 16,215 different 3 person teams

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Well I'm having troubles with something I have no idea what it is or how to do it. The problem is x^2 -18x+8=0. I only know how

Lubov Fominskaja [6]

Answer:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

Step-by-step explanation:

We have the following equation:

$x^2 -18 x +8 =0$

We can use the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where:

$a = 1 , b=-18, c =8$

And replacing we got:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

6 0

3 years ago

An insurance company estimates 45 percent of its claims have errors. The insurance company wants to estimate with 99 percent con

nydimaria [60]

Answer:

We need a sample size of at least 657.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

45 percent of its claims have errors.

So $\pi = 0.45$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What sample size is needed if they wish to be within 5 percent of the actual

This is a sample size of at least n, in which n is found when M = 0.05.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.05 = 2.575\sqrt{\frac{0.45*0.55}{n}}$

$0.05\sqrt{n} = 1.28$

$\sqrt{n} = \frac{1.28}{0.05}$

$\sqrt{n} = 25.62$

$\sqrt{n}^{2} = (25.62)^{2}$

$n = 656.4$

We need a sample size of at least 657.

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3 years ago

Solve each system of equations by elimination. <br> y= -x+1 y=4x-14<br><br><br><br> By ELIMINATION

Valentin [98]

The answer is:
x=3, y= -2
(3,-2)

3 0

3 years ago

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Brut [27]

I believe the answer is A

6 0

3 years ago

Shayne has a total of $135.22 to spend on souvenirs at the zoo He wants to buy nine of the same souvenir for his friends Choose

lana [24]

Answer:

I simply separated the number into two numbers that I know are directly related to 9. 90 and 45 gives me around 135 ignoring the 22 cents since this is an estimation. 9*10 is equal to 90 and 9 times 5 is equal to 45. So I can estimate that the answer is around 15.

Step-by-step explanation:

7 0

3 years ago