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Liono4ka [1.6K]
2 years ago
12

There are 12 teams, each representing a different country, in a women’s olympic basketball tournament. in how many ways is it po

ssible for the gold, silver, and bronze medals to be awarded? use the formula for permutations to find your answer. 220 440 1,320 1,728
Mathematics
1 answer:
AveGali [126]2 years ago
8 0

The number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

<h3>Permutation and Combination</h3>

Permutation are related to arrangement and combination has to do with selection.

If there are 12 teams, each representing a different country and the possible awards are gold, silver, and bronze medals, the number of ways they can be selected is given as:

12P3 = 12!/(12-3)!

12P3 = 12!/9!

12P3 = 12 * 11 * 10

12P3 = 1320 ways

Hence the number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

Learn more on permutation here: brainly.com/question/1216161

#SPJ4

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In Linda’s class of 20 students 14 of the students will practice for the school play. What percent of the class will practice fo
Sholpan [36]

Answer:

70%

Step-by-step explanation:

14/20= 0.7 = 70%

4 0
2 years ago
PLEASE ANSWER ASAP, WILL GIVE BRAINLIEST IF CORRECT
emmasim [6.3K]

If x > 0 then |x|/x = 1 !!!

If x<0 then |x|/x = -1

*below is an explanation! :)

_______________________________________

- I found the answer to this by choosing a any number that satisfies the requirement of x > 0 and plugging it into |x|/x  

-----

Watch this!

Let's take 10 for example. 10 is greater than 0 like x>0 requires!

Let's plug it into |x|/x

|10| ÷ 10 = 1

*Remember that | | this means "absolute value" or whatever is in between the two bars will always be positive (+)

-------

Now let's take a random number that satisfies 0> x and do the same as we did above!

Let's take -3 and plut it into |x|/x

|-3| ÷ -3 = -1

8 0
2 years ago
Read 2 more answers
Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic
jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234

Distribution of the difference:

p = p_h - p_n = 0.575 - 0.125 = 0.45

s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034

Confidence interval:

The confidence interval is:

p \pm zs

In which

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

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower bound is 0.45 - 1.96(0.034) = 0.3834

The upper bound is 0.45 + 1.96(0.034) = 0.5166

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

3 0
3 years ago
Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The
miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is  p=\frac{1}{4}

\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334

7 0
3 years ago
Allison has five times as many baseball cards as football cards and all she has 120 baseball and football cards how many basebal
Shtirlitz [24]
The answer is 600 because you have to multiply 120 by 5 and the sum is 600 
7 0
3 years ago
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