All categories

3 years ago

In an upcoming race, the top 3 finishers will be recognized with the same award. Ryan is one of 12 people entered in the race.

Mathematics

2 answers:

BARSIC [14]3 years ago

5 0

Since top 3 racers recognized with the same award, answer is 3/12 or 1/4 or .25

Fiesta28 [93]3 years ago

5 0

Answer: The required probability is 25%.

Step-by-step explanation: Given that in an upcoming race, the top 3 finishers will be recognized with the same award and Ryan is one of 12 people entered in the race.

We are to find the probability that Ryan will be one of the top 3 racers, if all racers are equal in skills.

Let S denote the sample space of the experiment for selecting a racer and A denote the event of selecting the top 3 finishers.

Then, according to the given information, we have

n(S) = 12 and n(A) = 3.

So, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{12}=\dfrac{1}{4}\times100\%=25\%.$

Thus, the required probability is 25%.

You might be interested in

Mrs. Ackerman bought a beach ball for her classroom. The diameter of the beach ball measured 23 inches. Which of the following i

Helen [10]

6370 in3

Step-by-step explanation:

3 0

2 years ago

How do you round to the nearest hundredth?

Sati [7]

You stop at 2 decimal points. If the 3rd decimal is bigger than 5, add 1 to the 2nd and if it's less than 5, keep it as it is.
For example:
2.663 --> 2.66
6.788 --> 6.79

3 0

3 years ago

The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc

ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

$r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }$

$S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225$

$r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }$

r = 0.7511

i) formula for the test statistic is given by the formula:

$t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }$

sample size, n = 4

$t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }$

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0

3 years ago

spencer surveyed five of his friends to find out how many pets they have his results are shown in the table lara has 3 cody has

Phantasy [73]

The mean is the average.
Add all the number of pets and divide by how many people there were.
3+5+2+4+1
15/number of people
15/5
=3

Hope this helps :)

4 0

3 years ago

What are the angles in degreees

ra1l [238]

Answer: A is 70 B is 45 and C is 50

Step-by-step explanation:

7 0

3 years ago