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o-na [289]
2 years ago
15

100 people are running a marathon. How many different ways can the runners finish 1st, 2nd, and 3rd place?

Mathematics
1 answer:
andrew11 [14]2 years ago
3 0

Answer:

970,200

Step-by-step explanation:

In a 100 man race, how many runners have the chance to finish first?

Answer 100.

Now that 1 person is first, how many runners could be second? Well, there are still 99 runners left, and any one of them could be second.

Answer 99.

How many can be third? Using the same idea as above, once one person is first and another is second, that leaves 98 people still running and trying for third. So how many can be in third?

Answer 98.

Now you need to do the math.

100 × 99 × 98 = 970,200

So there are 970,200 different ways.

Hope this helps!! Brainliest :) ?

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Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x)
WINSTONCH [101]
Attached is the solution, long division is hard to type out.
Hope it helps.

6 0
3 years ago
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
What is 2x+18 factored
Darina [25.2K]

Answer:

2(x+9)

Step-by-step explanation:

2x+18

find the common number which can fit into 2x and 18

in this case the number is 2

so; 2(x+9)

7 0
2 years ago
Read 2 more answers
Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each
Cloud [144]

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

8 0
3 years ago
Read 2 more answers
Hey can someone help?
Ronch [10]

The value of the given variable x in the missing angles is; x = 12°

<h3>How to find alternate Angles?</h3>

Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.

Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.

Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;

(8x + 4)° =  (6x + 28)°

Rearranging this gives us;

8x - 6x = 28 - 4

2x = 24

x = 24/2

x = 12°

Read more about Alternate Angles at; brainly.com/question/24839702

#SPJ1

4 0
1 year ago
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